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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Educ.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Education</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Educ.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2504-284X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/feduc.2026.1753929</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>From mathematics and science to classroom management: an IRT validation of a teaching confidence scale in a sample of primary special education teachers</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Giaouri</surname>
<given-names>Stergiani</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Antoniou</surname>
<given-names>Alexandros-Stamatios</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Charitaki</surname>
<given-names>Garyfalia</given-names>
</name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Alevriadou</surname>
<given-names>Anastasia</given-names>
</name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Andreou</surname>
<given-names>Georgia</given-names>
</name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Charisi</surname>
<given-names>Maria</given-names>
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<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<aff id="aff1"><label>1</label><institution>University of Western Macedonia</institution>, <city>Kozani</city>, <country country="gr">Greece</country></aff>
<aff id="aff2"><label>2</label><institution>National and Kapodistrian University of Athens</institution>, <city>Athens</city>, <country country="gr">Greece</country></aff>
<aff id="aff3"><label>3</label><institution>University of Thessaly</institution>, <city>Volos</city>, <country country="gr">Greece</country></aff>
<aff id="aff4"><label>4</label><institution>Aristotle University of Thessaloniki</institution>, <city>Thessaloniki</city>, <country country="gr">Greece</country></aff>
<author-notes>
<corresp id="c001"><label>&#x002A;</label>Correspondence: Garyfalia Charitaki, <email xlink:href="mailto:gcharitaki@uth.gr">gcharitaki@uth.gr</email></corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-02-27">
<day>27</day>
<month>02</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>11</volume>
<elocation-id>1753929</elocation-id>
<history>
<date date-type="received">
<day>25</day>
<month>11</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>06</day>
<month>02</month>
<year>2027</year>
</date>
<date date-type="accepted">
<day>13</day>
<month>02</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2026 Giaouri, Antoniou, Charitaki, Alevriadou, Andreou and Charisi.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Giaouri, Antoniou, Charitaki, Alevriadou, Andreou and Charisi</copyright-holder>
<license>
<ali:license_ref start_date="2026-02-27">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<sec>
<title>Introduction</title>
<p>Teaching confidence is a critical determinant of instructional quality, teacher attitudes, and student outcomes, particularly in inclusive and special education contexts. This study validated a multidimensional Teaching Confidence Scale for primary special education teachers, encompassing Mathematics/Science Instruction, Instructional Innovation, and Classroom Management.</p>
</sec>
<sec>
<title>Methods</title>
<p>Using an Item Response Theory (IRT) framework, we examined the scale&#x2019;s dimensional structure and psychometric properties in a sample of 305 primary special education teachers working in inclusive settings.</p>
</sec>
<sec>
<title>Results</title>
<p>Confirmatory factor analysis supported a robust three-factor model with excellent fit (<italic>RMSEA</italic>&#x202F;=&#x202F;0.027, <italic>CFI</italic>&#x202F;=&#x202F;0.994, <italic>TLI</italic>&#x202F;=&#x202F;0.956). Standardized factor loadings ranged from 0.62 to 0.91 across domains, indicating strong item&#x2013;factor relationships. Reliability was consistently high, with Cronbach&#x2019;s <italic>&#x03B1;</italic> values ranging from 0.83 to 0.97 and McDonald&#x2019;s <italic>&#x03C9;</italic> from 0.92 to 0.98 (AVE = 0.50&#x2013;0.77). IRT analyses using the Generalized Partial Credit Model indicated satisfactory item fit (RMSEA &#x003C; 0.05), moderate to high discrimination parameters particularly for Mathematics/Science Instruction and Instructional Innovation and minimal differential item functioning across teacher groups.</p>
</sec>
<sec>
<title>Discussion</title>
<p>Overall, the findings support the Teaching Confidence Scale as a reliable and valid instrument for assessing domain-specific teaching confidence in primary special education, with implications for teacher professional development, inclusive practice, and future research.</p>
</sec>
</abstract>
<kwd-group>
<kwd>inclusive settings</kwd>
<kwd>mathematics</kwd>
<kwd>special educational needs and/or disabilities</kwd>
<kwd>teachers&#x2019; attitudes</kwd>
<kwd>teaching confidence</kwd>
<kwd>validation</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was not received for this work and/or its publication.</funding-statement>
</funding-group>
<counts>
<fig-count count="6"/>
<table-count count="6"/>
<equation-count count="0"/>
<ref-count count="100"/>
<page-count count="22"/>
<word-count count="12472"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Special Educational Needs</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<title>Introduction</title>
<p>Teaching confidence, often conceptualized as a domain-specific form of teacher self-efficacy, constitutes a cornerstone of instructional quality, teacher motivation, and student achievement (<xref ref-type="bibr" rid="ref7">Bandura, 1997</xref>; <xref ref-type="bibr" rid="ref14">Charitaki et al., 2025a</xref>; <xref ref-type="bibr" rid="ref49">Klassen and Tze, 2014</xref>; <xref ref-type="bibr" rid="ref58">McGee and Wang, 2014</xref>; <xref ref-type="bibr" rid="ref94">Tschannen-Moran and Hoy, 2001</xref>). It reflects teachers&#x2019; beliefs in their capacity to plan, organize, and deliver effective instruction within specific domains, and it strongly influences pedagogical decision-making, persistence under challenging conditions, and openness to innovation (<xref ref-type="bibr" rid="ref104">Wyatt, 2018</xref>; <xref ref-type="bibr" rid="ref106">Zee and Koomen, 2016</xref>). A substantial body of empirical research demonstrates that higher teaching confidence is associated with greater instructional adaptability, sustained engagement, and improved student academic and socio-emotional outcomes (<xref ref-type="bibr" rid="ref11">Caprara et al., 2006</xref>; <xref ref-type="bibr" rid="ref15">Charitaki et al., 2025b</xref>; <xref ref-type="bibr" rid="ref38">Guo et al., 2010</xref>; <xref ref-type="bibr" rid="ref54">Lazarides et al., 2020</xref>). Taken together, these findings position teaching confidence as a central psychological resource that underpins both effective teaching practice and positive student outcomes.</p>
<p>In special and inclusive educational settings, teaching confidence assumes heightened importance due to the increased instructional, behavioral, and emotional demands placed on teachers. Educators working with students with diverse learning profiles are required to integrate differentiated instruction, individualized supports, collaborative practices, and flexible pedagogical approaches in order to promote meaningful participation and learning (<xref ref-type="bibr" rid="ref30">Florian and Black-Hawkins, 2011</xref>; <xref ref-type="bibr" rid="ref82">Sharma and Nuttal, 2015</xref>; <xref ref-type="bibr" rid="ref102">Woodcock and Hardy, 2022</xref>). Empirical studies indicate that confidence in specific domains particularly mathematics and science instruction, classroom management, and instructional innovation is critical in inclusive contexts, where teachers often encounter intensified challenges related to content adaptation, behavioral regulation, and pedagogical flexibility (<xref ref-type="bibr" rid="ref32">Forlin and Chambers, 2011</xref>; <xref ref-type="bibr" rid="ref77">Savolainen et al., 2020</xref>). Accordingly, teaching confidence in inclusive education should be understood not as a general disposition, but as a domain-sensitive construct shaped by the complex and multifaceted demands of inclusive practice.</p>
<p>From a social cognitive perspective, <xref ref-type="bibr" rid="ref7">Bandura (1997)</xref> theory explicitly emphasizes that self-efficacy beliefs are organized around specific tasks and domains rather than functioning as a generalized disposition. Accordingly, teaching confidence in inclusive education should be conceptualized as a multidimensional construct reflecting distinct yet interrelated domains of professional practice. Mathematics/science instruction, instructional innovation, and classroom management represent theoretically grounded and empirically supported domains in which efficacy beliefs are formed through different mastery experiences, social feedback, and contextual demands (<xref ref-type="bibr" rid="ref7">Bandura, 1997</xref>; <xref ref-type="bibr" rid="ref13">Charitaki et al., 2026</xref>; <xref ref-type="bibr" rid="ref94">Tschannen-Moran and Hoy, 2001</xref>). This theoretical perspective provides a strong rationale for examining teaching confidence as a set of related but distinguishable dimensions, rather than as a single undifferentiated construct.</p>
<p>The focus on mathematics and science instruction as a distinct domain is theoretically and practically justified within primary special education. Mathematics and science are characterized by abstract concepts, hierarchical knowledge structures, and cumulative skill development, which pose disproportionate challenges for students with special educational needs and/or disabilities (SEND; <xref ref-type="bibr" rid="ref29">Florian, 2019</xref>; <xref ref-type="bibr" rid="ref62">Organisation for Economic Co-operation and Development, 2019</xref>; <xref ref-type="bibr" rid="ref90">Therrien et al., 2013</xref>). Teaching these subjects requires not only content knowledge but also confidence in scaffolding conceptual understanding, adapting representations, and addressing persistent learning difficulties (<xref ref-type="bibr" rid="ref59">McLeskey et al., 2022</xref>; <xref ref-type="bibr" rid="ref90">Therrien et al., 2013</xref>). Empirical research further indicates that teachers often report lower confidence and higher anxiety in mathematics and science compared to other primary school subjects, making these domains particularly salient for confidence-based measurement in special education contexts (<xref ref-type="bibr" rid="ref32">Forlin and Chambers, 2011</xref>; <xref ref-type="bibr" rid="ref78">Savolainen et al., 2022</xref>). Consequently, mathematics and science instruction warrant focused attention as a core dimension of teaching confidence rather than being subsumed under general instructional efficacy.</p>
<p>Instructional innovation constitutes a second theoretically distinct domain, capturing teachers&#x2019; confidence in adopting flexible, differentiated, and novel pedagogical approaches. In inclusive education, innovation is not optional but integral to addressing learner diversity through adaptive methods, assistive technologies, and inclusive design principles (<xref ref-type="bibr" rid="ref30">Florian and Black-Hawkins, 2011</xref>). Confidence in instructional innovation reflects teachers&#x2019; beliefs in their capacity to experiment with and sustain new practices under conditions of uncertainty, aligning with Bandura&#x2019;s emphasis on self-efficacy as a determinant of persistence and risk-taking in complex tasks (<xref ref-type="bibr" rid="ref7">Bandura, 1997</xref>; <xref ref-type="bibr" rid="ref104">Wyatt, 2018</xref>). Overall, this dimension underscores that inclusive teaching depends not only on knowing new approaches, but also on feeling capable of implementing and maintaining them in real classroom conditions.</p>
<p>Classroom management represents a third foundational domain of teaching confidence, particularly salient in inclusive classrooms characterized by behavioral, emotional, and attentional diversity. Confidence in classroom management encompasses teachers&#x2019; perceived ability to establish structure, maintain positive relationships, and respond effectively to challenging behaviors, all of which are critical for instructional continuity and teacher well-being (<xref ref-type="bibr" rid="ref25">Emmer and Sabornie, 2014</xref>; <xref ref-type="bibr" rid="ref34">Friedman, 2003</xref>). Empirical evidence consistently demonstrates that management-related efficacy beliefs are distinct from instructional confidence and exert unique effects on teacher stress, burnout, and student engagement (<xref ref-type="bibr" rid="ref2">Antoniou et al., 2025</xref>; <xref ref-type="bibr" rid="ref77">Savolainen et al., 2020</xref>; <xref ref-type="bibr" rid="ref106">Zee and Koomen, 2016</xref>). Thus, classroom management confidence constitutes a core dimension of teaching confidence, shaping both the quality of classroom interactions and the sustainability of inclusive teaching practice.</p>
<p>Despite the recognized importance of these domain-specific aspects of teaching confidence, existing measurement instruments remain limited. Widely used scales, such as the Teachers&#x2019; Sense of Efficacy Scale (TSES; <xref ref-type="bibr" rid="ref94">Tschannen-Moran and Hoy, 2001</xref>) and the Teacher Efficacy Scale (<xref ref-type="bibr" rid="ref35">Gibson and Dembo, 1984</xref>), were developed primarily for general education contexts and tend to emphasize broad instructional, engagement, and management domains. Empirical evidence suggests that these instruments may not adequately capture subject-specific confidence, confidence in instructional innovation, or the contextualized demands of classroom management in inclusive and special education settings (<xref ref-type="bibr" rid="ref77">Savolainen et al., 2020</xref>; <xref ref-type="bibr" rid="ref88">Sokal and Sharma, 2013</xref>; <xref ref-type="bibr" rid="ref42">Holzberger et al., 2013</xref>; <xref ref-type="bibr" rid="ref75">Ross et al., 1996</xref>). As a result, important variations in teachers&#x2019; confidence across critical pedagogical domains may remain obscured, limiting both the explanatory power and practical relevance of existing measures in inclusive education contexts.</p>
<p>Furthermore, although teaching confidence is theoretically understood as task- and context-specific (<xref ref-type="bibr" rid="ref7">Bandura, 1997</xref>), many empirical studies continue to operationalize it using unidimensional or weakly differentiated measurement models. Reviews and validation studies indicate that such approaches may obscure meaningful variability across pedagogical domains and limit the interpretability of findings, particularly in settings characterized by instructional diversity and complexity (<xref ref-type="bibr" rid="ref42">Holzberger et al., 2013</xref>; <xref ref-type="bibr" rid="ref77">Savolainen et al., 2020</xref>). These limitations underscore the need for multidimensional instruments that explicitly model domain-specific aspects of teaching confidence relevant to inclusive education.</p>
<p>Responding to these gaps, the present study focuses on the validation of a multidimensional Teaching Confidence Scale (TCS) specifically tailored to primary special education teachers. Grounded in social cognitive theory (<xref ref-type="bibr" rid="ref7">Bandura, 1997</xref>) and empirical research on teacher efficacy, the TCS operationalizes teaching confidence across three theoretically and empirically justified domains: Mathematics/Science Instruction, Instructional Innovation, and Classroom Management. Together, these domains reflect core dimensions of professional practice in inclusive primary education and provide a comprehensive framework for capturing how teaching confidence manifests across distinct instructional challenges.</p>
<p>The development and validation of the TCS are situated within the context of inclusive education in Greece, where inclusive practices have expanded substantially over the past two decades through the implementation of parallel support, resource rooms, and differentiated instruction frameworks. Greek primary special education teachers often work across multiple classroom contexts, supporting students with special educational needs and/or disabilities within mainstream classrooms. This system places high demands on teachers&#x2019; instructional adaptability, collaboration, and classroom management skills, underscoring the need for context-sensitive measurement tools that reflect the realities of inclusive practice (<xref ref-type="bibr" rid="ref29">Florian, 2019</xref>; <xref ref-type="bibr" rid="ref97">UNESCO, 2020</xref>). Within this context, a multidimensional assessment of teaching confidence becomes particularly relevant for capturing the complex demands placed on special education teachers in inclusive classrooms.</p>
<p>Methodologically, this study adopts an Item Response Theory (IRT) framework to address limitations associated with traditional measurement approaches. Unlike Classical Test Theory, which assumes uniform item functioning and provides sample-dependent reliability estimates, IRT enables the examination of item-level properties such as discrimination, difficulty, and measurement precision across the latent trait continuum (<xref ref-type="bibr" rid="ref10">Boone et al., 2014</xref>; <xref ref-type="bibr" rid="ref24">Embretson and Reise, 2000</xref>). This approach is particularly well suited to the validation of multidimensional constructs such as teaching confidence, as it allows for a nuanced assessment of how individual items function across different confidence levels and teacher subgroups. By employing IRT, the present study aligns its methodological framework with its theoretical aim of capturing the multidimensional and context-specific nature of teaching confidence in inclusive settings.</p>
<p>By focusing on primary special education teachers in Greece, the study contributes to both measurement theory and educational practice. Conceptually, it extends existing models of teacher efficacy by operationalizing teaching confidence as a multidimensional construct that integrates subject-specific, pedagogical, and classroom-management domains. Practically, it offers a validated instrument capable of identifying domain-specific professional development needs and informing targeted interventions aimed at strengthening teaching confidence in inclusive classrooms (<xref ref-type="bibr" rid="ref29">Florian, 2019</xref>; <xref ref-type="bibr" rid="ref97">UNESCO, 2020</xref>). Taken together, these contributions highlight the value of the TCS as both a theoretically grounded measurement tool and a practical resource for supporting inclusive educational practice.</p>
<sec id="sec2">
<title>A multidimensional model of teaching confidence: mathematics/science, instructional innovation, and classroom management</title>
<p>Teaching confidence is not a unitary construct but rather a multidimensional phenomenon, reflecting teachers&#x2019; self-perceived competence across distinct domains of practice (<xref ref-type="bibr" rid="ref16">Charitaki et al., 2025c</xref>; <xref ref-type="bibr" rid="ref85">Skaalvik and Skaalvik, 2007</xref>; <xref ref-type="bibr" rid="ref94">Tschannen-Moran and Hoy, 2001</xref>; <xref ref-type="bibr" rid="ref96">Umugiraneza et al., 2023</xref>). This multidimensional perspective is theoretically grounded in <xref ref-type="bibr" rid="ref7">Bandura (1997)</xref> social cognitive theory, which conceptualizes self-efficacy as task- and context-specific, shaped by mastery experiences, social persuasion, and environmental affordances.</p>
<p>Empirical research increasingly supports this differentiated conceptualization, demonstrating that teachers may feel confident in some instructional domains while experiencing uncertainty or avoidance in others (<xref ref-type="bibr" rid="ref85">Skaalvik and Skaalvik, 2007</xref>; <xref ref-type="bibr" rid="ref106">Zee and Koomen, 2016</xref>). However, much of the existing literature continues to rely on broad or aggregated measures of teaching confidence, limiting the capacity to identify domain-specific strengths and vulnerabilities, particularly in inclusive and special education contexts where instructional demands are inherently complex (<xref ref-type="bibr" rid="ref77">Savolainen et al., 2020</xref>). Within inclusive and special education settings, such differentiation becomes especially salient. Teachers are required to simultaneously address content mastery, behavioral regulation, and pedagogical flexibility while responding to heterogeneous learner needs (<xref ref-type="bibr" rid="ref77">Savolainen et al., 2020</xref>; <xref ref-type="bibr" rid="ref107">Zee and Koomen, 2020</xref>). Yet, prior studies often examine teaching confidence as a generalized disposition, obscuring how confidence operates differently across pedagogical domains and how these variations relate to inclusive practice outcomes.</p>
</sec>
<sec id="sec3">
<title>Confidence in mathematics and science instruction</title>
<p>Confidence in mathematics and science instruction is particularly salient in primary education, where these subjects frequently pose challenges for students with special educational needs and/or disabilities (SEND) due to their abstract, cumulative, and symbolic nature (<xref ref-type="bibr" rid="ref29">Florian, 2019</xref>; <xref ref-type="bibr" rid="ref90">Therrien et al., 2013</xref>). Empirical studies consistently show that teachers with higher mathematics teaching confidence are more likely to employ conceptual explanations, inquiry-based learning, and problem-solving strategies, as well as to persist when students struggle (<xref ref-type="bibr" rid="ref5">Auslander et al., 2006</xref>; <xref ref-type="bibr" rid="ref37">Gresham, 2008</xref>; <xref ref-type="bibr" rid="ref63">Papic and Papic, 2025</xref>; <xref ref-type="bibr" rid="ref66">Pietsch et al., 2003</xref>; <xref ref-type="bibr" rid="ref68">Pratiwi et al., 2022</xref>; <xref ref-type="bibr" rid="ref5">Auslander et al., 2006</xref>). These findings suggest that confidence in mathematics and science instruction plays a crucial role in shaping instructional quality and supporting learning for students with diverse educational needs.</p>
<p>At the same time, the literature reveals a persistent pattern of mathematics anxiety and content insecurity among both general and special education teachers, which negatively affects instructional quality and limits the use of adaptive pedagogies (<xref ref-type="bibr" rid="ref41">Hodgen et al., 2018</xref>; <xref ref-type="bibr" rid="ref102">Woodcock and Hardy, 2022</xref>). These findings underscore a key limitation of existing confidence measures: when subject-specific confidence is not distinguished from broader instructional self-efficacy, the field risks underestimating the unique pedagogical challenges associated with mathematics and science in inclusive classrooms and obscuring which supports are most likely to improve practice.</p>
</sec>
<sec id="sec4">
<title>Confidence in instructional innovation</title>
<p>The second domain, instructional innovation, refers to teachers&#x2019; confidence in adopting and integrating novel pedagogical approaches, digital technologies, and differentiated strategies into classroom practice. Innovation is widely recognized as a cornerstone of inclusive education, as it enables teachers to design flexible learning environments responsive to diverse learner profiles (<xref ref-type="bibr" rid="ref30">Florian and Black-Hawkins, 2011</xref>; <xref ref-type="bibr" rid="ref65">Peng et al., 2024</xref>; <xref ref-type="bibr" rid="ref92">Tomlinson, 2017</xref>; <xref ref-type="bibr" rid="ref93">Trust and Whalen, 2020</xref>). Accordingly, confidence in instructional innovation represents a key mechanism through which inclusive principles are translated into everyday teaching practice.</p>
<p>Empirical evidence indicates that teachers with higher confidence in instructional innovation demonstrate stronger technological pedagogical content knowledge (TPACK) and are more likely to implement blended learning, Universal Design for Learning (UDL), and assistive technologies (<xref ref-type="bibr" rid="ref12">CAST, 2024</xref>; <xref ref-type="bibr" rid="ref27">Ertmer and Ottenbreit-Leftwich, 2010</xref>; <xref ref-type="bibr" rid="ref43">Howard and Mozejko, 2015</xref>). However, studies also show that professional development alone is insufficient to ensure implementation, as confidence mediates the translation of training into practice (<xref ref-type="bibr" rid="ref19">Clipa et al., 2023</xref>; <xref ref-type="bibr" rid="ref47">Kim et al., 2013</xref>). Critically, existing teaching confidence instruments rarely operationalize innovation as a distinct domain, instead subsuming it under general instructional efficacy. This conflation limits the ability to examine how confidence in innovation uniquely contributes to inclusive pedagogy and may help explain mixed findings regarding technology integration in special education contexts (<xref ref-type="bibr" rid="ref80">Sharma et al., 2008</xref>; <xref ref-type="bibr" rid="ref85">Skaalvik and Skaalvik, 2007</xref>). Taken together, this evidence underscores the need to conceptualize and measure instructional innovation confidence as a distinct dimension in order to better understand its role in the effective enactment of inclusive and technology-enhanced teaching practices.</p>
</sec>
<sec id="sec5">
<title>Confidence in classroom management</title>
<p>The third domain, classroom management confidence, underpins teachers&#x2019; capacity to establish structured, emotionally supportive, and responsive learning environments. Effective classroom management is particularly crucial in inclusive settings, where behavioral, attentional, and emotional diversity is pronounced (<xref ref-type="bibr" rid="ref25">Emmer and Sabornie, 2014</xref>; <xref ref-type="bibr" rid="ref34">Friedman, 2003</xref>). In this context, classroom management confidence functions as a foundational condition for maintaining instructional continuity and supporting positive classroom interactions in inclusive classrooms.</p>
<p>Research consistently shows that teachers with strong classroom management confidence employ proactive strategies such as clear routines, positive reinforcement, and collaborative problem-solving that enhance student engagement and emotional safety (<xref ref-type="bibr" rid="ref53">Kunter et al., 2013</xref>; <xref ref-type="bibr" rid="ref73">Reupert and Woodcock, 2010</xref>; <xref ref-type="bibr" rid="ref87">Slater and Main, 2020</xref>). Conversely, low confidence in this domain is associated with reactive discipline practices, increased stress, and reduced instructional quality (<xref ref-type="bibr" rid="ref34">Friedman, 2003</xref>; <xref ref-type="bibr" rid="ref95">Tsouloupas et al., 2010</xref>). Together, these findings highlight classroom management confidence as a critical determinant of both classroom climate and teachers&#x2019; professional well-being in inclusive educational settings.</p>
<p>Although classroom management is included in many efficacy scales, it is often treated superficially, without attention to the relational and inclusive dimensions of management required in special education. This limitation further supports the need for instruments that explicitly capture confidence in managing diverse and inclusive classroom environments.</p>
</sec>
<sec id="sec6">
<title>Inclusive education context in Greece</title>
<p>The relevance of these domains is particularly pronounced within the Greek inclusive education system, which has undergone significant transformation over the past two decades. Inclusive practices in Greece are primarily implemented through parallel support, resource rooms, and differentiated instruction within mainstream classrooms. Primary special education teachers frequently work across multiple classrooms and student populations, often with limited institutional support and high role ambiguity.</p>
<p>Empirical and policy-oriented research highlights that Greek teachers face considerable challenges related to curriculum adaptation, collaboration with general educators, classroom management, and the integration of digital and innovative practices (<xref ref-type="bibr" rid="ref97">UNESCO, 2020</xref>). These systemic characteristics intensify the demands placed on teachers&#x2019; confidence across subject-specific, pedagogical, and management domains, reinforcing the need for context-sensitive measurement tools tailored to the Greek inclusive setting.</p>
</sec>
<sec id="sec7">
<title>Links between teaching confidence, teacher practice and student outcomes</title>
<p>A robust body of empirical literature documents the links between teaching confidence, instructional practices, and student outcomes (<xref ref-type="bibr" rid="ref48">Klassen and Chiu, 2010</xref>; <xref ref-type="bibr" rid="ref106">Zee and Koomen, 2016</xref>). High-confidence teachers are more likely to adopt evidence-based strategies, differentiate instruction, and persist in the face of instructional challenges (<xref ref-type="bibr" rid="ref11">Caprara et al., 2006</xref>; <xref ref-type="bibr" rid="ref94">Tschannen-Moran and Hoy, 2001</xref>), whereas low confidence is associated with instructional rigidity and avoidance of innovation (<xref ref-type="bibr" rid="ref42">Holzberger et al., 2013</xref>; <xref ref-type="bibr" rid="ref104">Wyatt, 2018</xref>). In mathematics and science education, numerous studies demonstrate that teaching confidence predicts instructional quality, feedback practices, and students&#x2019; achievement gains (<xref ref-type="bibr" rid="ref8">Basister et al., 2025</xref>; <xref ref-type="bibr" rid="ref54">Lazarides et al., 2020</xref>; <xref ref-type="bibr" rid="ref66">Pietsch et al., 2003</xref>; <xref ref-type="bibr" rid="ref5">Auslander et al., 2006</xref>). Teachers with higher mathematics teaching confidence use conceptual explanations, problem-solving activities, and formative assessment techniques, promoting deeper understanding and persistence among students with learning difficulties (<xref ref-type="bibr" rid="ref36">Goddard et al., 2007</xref>; <xref ref-type="bibr" rid="ref41">Hodgen et al., 2018</xref>). Similarly, science teaching confidence has been linked to inquiry-based approaches and greater student engagement, particularly when teachers perceive autonomy and support from leadership (<xref ref-type="bibr" rid="ref3">Appleton, 2008</xref>; <xref ref-type="bibr" rid="ref33">Franklin and Chang, 2025</xref>; <xref ref-type="bibr" rid="ref55">Lee, 2014</xref>; <xref ref-type="bibr" rid="ref64">Park et al., 2025</xref>). Confidence in classroom management also exerts a significant influence on both teacher behavior and student well-being: teachers with strong management confidence demonstrate proactive discipline, emotional regulation, and relational sensitivity, leading to improved student behavior, academic focus, and socio-emotional adjustment (<xref ref-type="bibr" rid="ref53">Kunter et al., 2013</xref>; <xref ref-type="bibr" rid="ref67">Poulou et al., 2018</xref>; <xref ref-type="bibr" rid="ref73">Reupert and Woodcock, 2010</xref>; <xref ref-type="bibr" rid="ref79">Schillinger et al., 2021</xref>). Meta-analytic evidence confirms that high classroom management self-efficacy correlates with lower stress and burnout, greater job satisfaction, and enhanced classroom climate (<xref ref-type="bibr" rid="ref1">Aloe et al., 2014</xref>; <xref ref-type="bibr" rid="ref17">Charitaki et al., 2025d</xref>; <xref ref-type="bibr" rid="ref34">Friedman, 2003</xref>). Collectively, this evidence illustrates that teaching confidence operates across instructional and management domains to shape both the quality of teaching practice and a wide range of student academic and socio-emotional outcomes.</p>
<p>Within inclusive contexts, teaching confidence further predicts teachers&#x2019; attitudes toward inclusion, use of accommodations, and commitment to diversity (<xref ref-type="bibr" rid="ref4">Asp et al., 2025</xref>; <xref ref-type="bibr" rid="ref6">Avramidis and Norwich, 2002</xref>; <xref ref-type="bibr" rid="ref77">Savolainen et al., 2020</xref>; <xref ref-type="bibr" rid="ref81">Sharma et al., 2012</xref>). Confident teachers are more likely to adopt UDL principles, employ assistive technologies, and collaborate with specialists to support students with special educational needs and/or disabilities (<xref ref-type="bibr" rid="ref12">CAST, 2024</xref>; <xref ref-type="bibr" rid="ref30">Florian and Black-Hawkins, 2011</xref>; <xref ref-type="bibr" rid="ref47">Kim et al., 2013</xref>). They also show greater emotional resilience and lower depersonalization, reducing the risk of burnout in complex classroom environments (<xref ref-type="bibr" rid="ref45">Karakose et al., 2023</xref>; <xref ref-type="bibr" rid="ref49">Klassen and Tze, 2014</xref>; <xref ref-type="bibr" rid="ref88">Sokal and Sharma, 2013</xref>). Consequently, a validated, multidimensional measure of teaching confidence encompassing Mathematics/Science Instruction, Instructional Innovation, and Classroom Management can provide valuable insights for both research and practice. Psychometrically robust assessment tools enable policymakers and school leaders to identify professional learning needs, design targeted training programs and evaluate the impact of interventions on teacher growth and student inclusion outcomes (<xref ref-type="bibr" rid="ref62">Organisation for Economic Co-operation and Development, 2019</xref>; <xref ref-type="bibr" rid="ref97">UNESCO, 2020</xref>). Overall, this body of evidence underscores the importance of assessing teaching confidence multidimensionally in order to inform inclusive policy, professional development, and evidence-based educational decision-making.</p>
<p>Despite this robust body of evidence, much of the existing research relies on global or weakly differentiated measures of teaching confidence, limiting the ability to disentangle domain-specific effects across mathematics/science instruction, instructional innovation, and classroom management. This measurement gap is particularly salient in inclusive settings, where pedagogical demands vary substantially across domains, underscoring the need for a validated multidimensional instrument.</p>
</sec>
<sec id="sec8">
<title>Methodological implications and the use of IRT</title>
<p>The reviewed literature also reveals methodological limitations in the measurement of teaching confidence, with heavy reliance on Classical Test Theory (CTT) approaches that provide limited insight into item-level functioning and multidimensional structure (<xref ref-type="bibr" rid="ref23">DeVellis, 2017</xref>; <xref ref-type="bibr" rid="ref22">DeMars, 2010</xref>; <xref ref-type="bibr" rid="ref84">Sijtsma and Junker, 2006</xref>). Item Response Theory (IRT) offers a powerful alternative by enabling the examination of item discrimination, difficulty, and measurement precision across confidence levels (<xref ref-type="bibr" rid="ref10">Boone et al., 2014</xref>; <xref ref-type="bibr" rid="ref24">Embretson and Reise, 2000</xref>; <xref ref-type="bibr" rid="ref72">Reise and Revicki, 2015</xref>). Thus, the adoption of IRT-based approaches represents a critical methodological advancement for capturing the complexity and domain-specific nature of teaching confidence.</p>
<p>By supporting multidimensional modeling and differential item functioning analyses, IRT aligns closely with the theoretical and empirical need to capture domain-specific teaching confidence in inclusive education (<xref ref-type="bibr" rid="ref18">Chen et al., 2006</xref>; <xref ref-type="bibr" rid="ref69">Putnick and Bornstein, 2016</xref>; <xref ref-type="bibr" rid="ref89">Tennant and Conaghan, 2007</xref>). In this way, IRT provides a methodologically coherent framework for examining whether teaching confidence measures function equivalently across domains and teacher groups in inclusive contexts.</p>
<p>Collectively, the reviewed literature highlights both the central role of teaching confidence in inclusive education and the conceptual and methodological shortcomings of existing instruments. These gaps provide a clear rationale for the development and validation of a multidimensional Teaching Confidence Scale encompassing Mathematics/Science Instruction, Instructional Innovation, and Classroom Management, particularly within the Greek inclusive education context.</p>
</sec>
<sec id="sec9">
<title>Purpose of the study</title>
<p>The purpose of this study is to examine the psychometric properties of the Greek version of the Teaching Confidence instrument within the context of mathematics education, with a particular focus on inclusive practices for students with Special Educational Needs and/or Disabilities (SEND). Specifically, the study seeks to validate the underlying factor structure of the instrument, assess its reliability, and test its measurement invariance across different groups of teachers. By doing so, the research aims to provide a reliable and context-sensitive tool for capturing educators&#x2019; teaching confidence. Based on prior empirical evidence, the following hypotheses were formulated:<list list-type="order">
<list-item>
<p>The Greek version of the Teaching Confidence Scale is expected to demonstrate an adequate fit to a three-factor structure of teaching confidence.</p>
</list-item>
<list-item>
<p>&#x03A4;he TC will show adequate reliability, operationalized as an average inter-item correlation greater than 0.50.</p>
</list-item>
<list-item>
<p>Measurement invariance will be confirmed across different teacher groups, indicating that the instrument functions consistently across diverse educational contexts.</p>
</list-item>
</list></p>
</sec>
</sec>
<sec sec-type="methods" id="sec10">
<title>Method</title>
<p>For the study, we recruited a total of 305 teachers. Participants were recruited through an online survey distributed via professional networks of special education teachers, social media groups related to inclusive and special education, and direct communication with schools providing special education services. Participation was voluntary and anonymous. A total of approximately 427 teachers accessed the survey link, of whom 305 completed the questionnaire and met the inclusion criteria, yielding an approximate response rate of 71.43%. Inclusion criteria were current employment in primary special education settings and active teaching involvement during the academic year of data collection. Responses from individuals not meeting these criteria or presenting substantial missing data were excluded from the analyses.</p>
<p>The participants, in the vast majority, 81.0%, were females. Participants were distributed across all age groups, except for those between 22 and 31 and the group with those older than 62. The group of participants aged between 22 and 31 was the most represented, while the group aged 62 and older was the least represented. All participants were employed in primary special education (parallel support or resource classes). Almost all of them were teaching mathematics during the year that the data were collected, and demonstrated significant interest in digital technologies and the possibilities they can offer. A detailed presentation of the sample&#x2019;s characteristics is shown in <xref ref-type="table" rid="tab1">Table 1</xref>.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Demographic characteristics of the sample (<italic>n</italic>&#x202F;=&#x202F;305).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Teachers</th>
<th align="center" valign="top">Descriptive statistics n(%)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" colspan="2">Gender</td>
</tr>
<tr>
<td align="left" valign="middle">Male</td>
<td align="char" valign="middle" char="(">58 (19.0%)</td>
</tr>
<tr>
<td align="left" valign="middle">Female</td>
<td align="char" valign="middle" char="(">247 (81.0%)</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="2">Teacher&#x2019;s age</td>
</tr>
<tr>
<td align="left" valign="middle">22&#x2013;31</td>
<td align="char" valign="middle" char="(">98 (32.1%)</td>
</tr>
<tr>
<td align="left" valign="middle">32&#x2013;41</td>
<td align="char" valign="middle" char="(">58 (19.0%)</td>
</tr>
<tr>
<td align="left" valign="middle">42&#x2013;51</td>
<td align="char" valign="middle" char="(">61 (20.0%)</td>
</tr>
<tr>
<td align="left" valign="middle">52&#x2013;61</td>
<td align="char" valign="middle" char="(">76 (24.9%)</td>
</tr>
<tr>
<td align="left" valign="middle">&#x2265;62</td>
<td align="char" valign="middle" char="(">12 (3.9%)</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="2">Current role in education</td>
</tr>
<tr>
<td align="left" valign="middle">Substitute Teacher (Special Education)</td>
<td align="char" valign="middle" char="(">138 (45.2%)</td>
</tr>
<tr>
<td align="left" valign="middle">Certified Teacher (Special Education)</td>
<td align="char" valign="middle" char="(">167 (54.7%)</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="2">Teaching Mathematics (current year)</td>
</tr>
<tr>
<td align="left" valign="middle">No</td>
<td align="char" valign="middle" char="(">4 (1.3%)</td>
</tr>
<tr>
<td align="left" valign="middle">Yes</td>
<td align="char" valign="middle" char="(">301 (98.7%)</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="2">Class assigned (current year)</td>
</tr>
<tr>
<td align="left" valign="middle">Grade 1</td>
<td align="char" valign="middle" char="(">36 (11.8%)</td>
</tr>
<tr>
<td align="left" valign="middle">Grade 2</td>
<td align="char" valign="middle" char="(">45 (14.8%)</td>
</tr>
<tr>
<td align="left" valign="middle">Grade 3</td>
<td align="char" valign="middle" char="(">41 (13.4%)</td>
</tr>
<tr>
<td align="left" valign="middle">Grade 4</td>
<td align="char" valign="middle" char="(">39 (12.8%)</td>
</tr>
<tr>
<td align="left" valign="middle">Grade 5</td>
<td align="char" valign="middle" char="(">43 (14.1%)</td>
</tr>
<tr>
<td align="left" valign="middle">Grade 6</td>
<td align="char" valign="middle" char="(">101 (33.1%)</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="2">To what extent are you interested in digital technologies and the possibilities they can offer you?</td>
</tr>
<tr>
<td align="left" valign="middle">Not interested at all</td>
<td align="char" valign="middle" char="(">28 (9.2%)</td>
</tr>
<tr>
<td align="left" valign="middle">Slightly interested</td>
<td align="char" valign="middle" char="(">35 (11.5%)</td>
</tr>
<tr>
<td align="left" valign="middle">Moderately interested</td>
<td align="char" valign="middle" char="(">49 (16.1%)</td>
</tr>
<tr>
<td align="left" valign="middle">Very interested</td>
<td align="char" valign="middle" char="(">66 (21.6%)</td>
</tr>
<tr>
<td align="left" valign="middle">Extremely interested</td>
<td align="char" valign="middle" char="(">127 (41.6%)</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="2">Highest</td>
</tr>
<tr>
<td align="left" valign="top">Degree</td>
<td align="char" valign="middle" char="(">181 (59.3%)</td>
</tr>
<tr>
<td align="left" valign="top">Master&#x2019;s in special education</td>
<td align="char" valign="middle" char="(">120 (39.3%)</td>
</tr>
<tr>
<td align="left" valign="top">PhD</td>
<td align="char" valign="middle" char="(">4 (1.3%)</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="2">Seminar in special education</td>
</tr>
<tr>
<td align="left" valign="middle">No</td>
<td align="char" valign="middle" char="(">180 (59.0%)</td>
</tr>
<tr>
<td align="left" valign="middle">Yes</td>
<td align="char" valign="middle" char="(">125 (41.0%)</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="2">Socio-economic status of the residents of the school where you are employed</td>
</tr>
<tr>
<td align="left" valign="middle">Poor (income/education in the lowest 20%)</td>
<td align="char" valign="middle" char="(">56 (18.4%)</td>
</tr>
<tr>
<td align="left" valign="middle">Moderate (income/education in the middle 60%)</td>
<td align="char" valign="middle" char="(">204 (66.9%)</td>
</tr>
<tr>
<td align="left" valign="middle">Affluent (income/education in the highest 20%)</td>
<td align="char" valign="middle" char="(">45 (14.8%)</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="2">Residence</td>
</tr>
<tr>
<td align="left" valign="middle">Urban</td>
<td align="char" valign="middle" char="(">153 (50.2%)</td>
</tr>
<tr>
<td align="left" valign="middle">Sub-Urban</td>
<td align="char" valign="middle" char="(">93 (30.5%)</td>
</tr>
<tr>
<td align="left" valign="middle">Rural</td>
<td align="char" valign="middle" char="(">59 (19.3%)</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="2">Educational experience</td>
</tr>
<tr>
<td align="left" valign="middle">0&#x2013;4</td>
<td align="char" valign="middle" char="(">88 (28.9%)</td>
</tr>
<tr>
<td align="left" valign="middle">5&#x2013;9</td>
<td align="char" valign="middle" char="(">51 (16.7%)</td>
</tr>
<tr>
<td align="left" valign="middle">10&#x2013;14</td>
<td align="char" valign="middle" char="(">35 (11.5%)</td>
</tr>
<tr>
<td align="left" valign="middle">15&#x2013;19</td>
<td align="char" valign="middle" char="(">46 (15.1%)</td>
</tr>
<tr>
<td align="left" valign="middle">&#x2265; 20</td>
<td align="char" valign="middle" char="(">85 (27.9%)</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="2">Modules in special education</td>
</tr>
<tr>
<td align="left" valign="middle">1</td>
<td align="char" valign="middle" char="(">81 (26.6%)</td>
</tr>
<tr>
<td align="left" valign="middle">2</td>
<td align="char" valign="middle" char="(">86 (28.2%)</td>
</tr>
<tr>
<td align="left" valign="middle">3</td>
<td align="char" valign="middle" char="(">138 (45.2%)</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="sec11">
<title>Measures</title>
<p>The items of each measure can be found in the supplementary material.</p>
<sec id="sec12">
<title>Demographics</title>
<p>A total number of 12 demographic questions were used to assess each teacher&#x2019;s gender, age, current role in education, teaching mathematics (during current year), class assigned (during current year), extent of interest in digital technologies and the possibilities they can offer, highest degree, seminar in special education, socio-economic status of the residence of the school that teachers are employed, residence, educational experience, modules in special education, highest degree, educational experience in special education, intention to work as a teacher (in years), monthly income, number of modules related to special education and seminars in special education (that teachers attended).</p>
</sec>
<sec id="sec13">
<title>Teaching confidence scale</title>
<p>The TCS is the Greek adaptation of the Teaching Confidence scale, which has initially been developed by Woolfolk Hoy and Burke-Spero. The findings from their research supported the reliability (<italic>&#x03B1;&#x202F;=</italic> 0.95) and the validity of the scale (<xref ref-type="bibr" rid="ref103">Woolfolk Hoy and Burke-Spero, 2005</xref>). It is a self-rating questionnaire, adapted appropriately to assess confidence in teaching mathematics and science, in using instructional innovations and in managing classroom. It consists 32 close-ended statements, being rated on a 6-point Likert-type scale ranging from 1 (<italic>strongly disagree</italic>) to 6 (<italic>strongly agree</italic>). The full scale is presented in <xref ref-type="app" rid="app1">Appendix</xref>.</p>
</sec>
</sec>
<sec id="sec14">
<title>Item adaptation and comparison with the original scale</title>
<p>The Teaching Confidence Scale was adapted into Greek following established guidelines for cross-cultural instrument adaptation. The original English version was independently translated into Greek by two bilingual researchers with expertise in special and inclusive settings. The two translations were compared and synthesized into a preliminary Greek version. This preliminary version was reviewed by experts in special education and inclusive pedagogy to assess item clarity, cultural relevance, and alignment with inclusive settings principles. Based on expert feedback, minor linguistic refinements were made to improve clarity and contextual appropriateness. Prior to the main data collection, the adapted scale was piloted with a small group of special education teachers to assess item comprehensibility and response format. No major issues were identified during piloting, and the final Greek version was deemed suitable for use in inclusive primary education settings.</p>
<p>To address the inclusive focus of the study, a systematic comparison between the original and adapted items of the Teaching Confidence Scale was undertaken during the adaptation process. In the original version, items primarily assessed teachers&#x2019; confidence in implementing subject-specific instruction and classroom practices within a general education framework (e.g., confidence in preparing mathematics lessons, teaching algebra, using journals, or managing classrooms).</p>
<p>In the adapted version, these items were conceptually refined to reflect inclusive classroom realities. For example, original items assessing confidence in teaching mathematics and science (e.g., preparing mathematics lessons, teaching fractions or algebra, explaining standardized test scores) were reframed to emphasize confidence in teaching these subjects to heterogeneous classrooms that include students with special educational needs and/or disabilities, as well as in supporting conceptual understanding through differentiated and inquiry-based approaches.</p>
<p>Similarly, original items related to instructional practices and innovation (e.g., constructing web-based activities, using cooperative learning approaches, evaluating software for teaching and learning) were adapted to explicitly highlight inclusive instructional strategies, such as flexible instructional design, differentiated teaching, and the use of digital tools to support diverse learners.</p>
<p>Finally, items associated with classroom management and the social context of teaching (e.g., managing classrooms, establishing a sense of community, addressing cultural diversity) were adapted to reflect proactive, supportive, and relational management practices aligned with inclusive settings principles, rather than a sole focus on control or discipline. This comparison demonstrates that the adaptation process extended beyond linguistic translation and involved conceptual alignment of the items with inclusive settings principles, while preserving the theoretical intent of the original scale.</p>
</sec>
<sec id="sec15">
<title>Procedure&#x2013;statistical diagnostics and model evaluation</title>
<p>Prior to the main analyses, data were screened for completeness and suitability for factor and item response analyses. Descriptive statistics were examined, and the ordinal nature of the response scale was considered in all subsequent analyses. Data analyses were conducted using R version 4.4.3 (<xref ref-type="bibr" rid="ref70">R Development Core Team, 2019</xref>). Initially, construct validity of the Teaching Confidence Scale was examined using Confirmatory Factor Analysis (CFA) implemented with the lavaan package (<xref ref-type="bibr" rid="ref76">Rosseel, 2012</xref>). Given the ordinal nature of the six-point Likert-type response scale, Confirmatory Factor Analysis was conducted using an estimator appropriate for ordered categorical data. Specifically, the WLSMV estimator was employed, as it provides robust parameter estimates and standard errors for ordinal indicators and is recommended for Likert-type data with fewer than seven response categories. Model fit was evaluated using the Root Mean Square Error of Approximation (RMSEA), the Comparative Fit Index (CFI), and the Tucker&#x2013;Lewis Index (TLI). Following the assessment of factorial validity, internal consistency and model-based reliability were examined using Cronbach&#x2019;s alpha, Bentler&#x2019;s Omega, Bollen&#x2019;s Omega, McDonald&#x2019;s Omega, and Average Variance Extracted (AVE), calculated with the psych (<xref ref-type="bibr" rid="ref74">Revelle, 2019</xref>) and semTools packages (<xref ref-type="bibr" rid="ref44">Jorgensen, 2019</xref>). Subsequently, measurement invariance across teachers&#x2019; current role in education (substitute vs. certified special education teachers) was tested through multigroup CFA, evaluating configural, metric, scalar, and strict invariance models.</p>
<p>Finally, Item Response Theory (IRT) analyses were conducted to examine item fit, discrimination, difficulty parameters, and measurement precision. Given the polytomous six-point Likert-type response format of the Teaching Confidence Scale, the Generalized Partial Credit Model (GPCM) was selected <italic>a priori</italic> for item-level analyses. The GPCM was deemed appropriate due to its flexibility in allowing item discrimination parameters to vary across items, which was theoretically justified by the multidimensional nature of teaching confidence and the expectation that items would differ in their discriminative power. Although alternative IRT models for ordinal data, such as the Partial Credit Model (PCM), Graded Response Model (GRM), or Rating Scale Model (RSM), could also be applied, these models were not formally compared, as the study focused on item-level functioning rather than empirical model selection. Item and test information functions were estimated to evaluate the precision of measurement across different levels of the latent traits. Additional R packages used in the analyses included haven (<xref ref-type="bibr" rid="ref100">Wickham, 2019a</xref>), psych (<xref ref-type="bibr" rid="ref74">Revelle, 2019</xref>), MVN (<xref ref-type="bibr" rid="ref50">Korkmaz, 2019</xref>), semPlot (<xref ref-type="bibr" rid="ref26">Epskamp, 2019</xref>), caret (<xref ref-type="bibr" rid="ref52">Kuhn, 2019</xref>), dplyr (<xref ref-type="bibr" rid="ref100">Wickham, 2019a</xref>), tidyr (<xref ref-type="bibr" rid="ref101">Wickham, 2019b</xref>), and knitr (<xref ref-type="bibr" rid="ref105">Xie, 2019</xref>). Together, these diagnostics provided comprehensive evidence regarding the adequacy and robustness of the proposed measurement models.</p>
</sec>
</sec>
<sec sec-type="results" id="sec16">
<title>Results</title>
<p>The Results section is organized in accordance with the study objectives. Specifically, results are presented in an order including validation of the factor structure of the Teaching Confidence Scale, assessment of reliability, evaluation of item-level properties and model fit using Item Response Theory, and examination of measurement invariance across teacher groups.</p>
<sec id="sec17">
<title>Factor structure, construct and content validity</title>
<p>Firstly, we employed the 3-factor solution as it was suggested by the literature. This solution included the first factor F1, namely, &#x201C;Confidence to teach math and science&#x201D; (TC.11, TC.18, TC.10, TC.8, TC.16, TC.27, TC.24, TC.15, TC.12, TC.1, TC.20, TC.9, and TC.6), the second factor F2, namely, &#x201C;Confidence to use instructional innovations&#x201D; (TC.13, TC.25, TC.26, TC.19, TC.17, TC.2, TC.22, TC.28, TC.21, and TC.5), and the third factor F3, namely, &#x201C;Confidence to manage classrooms&#x201D; (TC.3, TC.7, TC.4, TC.30, TC.14, and TC.29). <xref ref-type="fig" rid="fig1">Figure 1</xref> presents the results from CFA for the aforementioned solution. Fit indices validated the 3-factor solution (<italic>RMSEA&#x202F;=</italic> 0.027, <italic>CFI</italic>&#x202F;=&#x202F;0.994, <italic>TLI</italic>&#x202F;=&#x202F;0.956).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Results from CFA for the 3-factor solution of the teaching confidence scale.</p>
</caption>
<graphic xlink:href="feduc-11-1753929-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Path diagram from confirmatory factor analysis showing a three-factor model of the Teaching Confidence Scale. The latent variables are Mathematics/Science Instruction, Instructional Innovation, and Classroom Management. Each latent factor is represented by circles and is linked to its corresponding observed items (rectangles). Standardized factor loadings are displayed on the paths, and correlations between the three latent factors are indicated by double-headed arrows. Model fit indices (RMSEA, CFI, TLI) support excellent model fit.</alt-text>
</graphic>
</fig>
<p>Additionally, to overall model fit, factor loadings (<italic>&#x03BB;</italic>) were examined to further evaluate construct validity. All items loaded significantly on their respective latent factors, with standardized factor loadings exceeding commonly accepted thresholds (&#x03BB;&#x202F;&#x003E;&#x202F;0.50), indicating strong associations between the observed indicators and their underlying constructs. Specifically, items assessing confidence in mathematics and science instruction demonstrated consistently high loadings on the first factor, reflecting coherent measurement of subject-specific teaching confidence. Items related to instructional innovation loaded strongly on the second factor, supporting the conceptual distinctiveness of teachers&#x2019; confidence in adopting innovative, flexible, and differentiated pedagogical practices. Items associated with classroom management also exhibited substantial loadings on the third factor, indicating that they adequately represent teachers&#x2019; confidence in managing inclusive classroom environments. The magnitude, consistency, and statistical significance of the factor loadings provide additional evidence that the items effectively capture their intended latent constructs, thereby supporting the construct validity of the Teaching Confidence Scale beyond global model fit indices.</p>
</sec>
<sec id="sec18">
<title>Content validity</title>
<p>To further support the validity of the Teaching Confidence Scale, content validity was evaluated by a panel of experts in special and inclusive settings. The panel consisted of 5 academics and 10 practitioners with expertise in inclusive pedagogy, special education, mathematics education, and educational measurement. Experts reviewed the adapted items for clarity, relevance, and alignment with inclusive settings principles. Overall, the experts agreed that the items adequately represented the intended domains of teaching confidence and were appropriate for inclusive and special education contexts. Minor wording refinements were suggested and incorporated prior to data collection.</p>
</sec>
<sec id="sec19">
<title>Reliability of the teaching confidence scale</title>
<p>We also estimated four different coefficients to assess the TCS reliability. More specifically, we estimated Cronbach&#x2019;s Alpha, Bentler&#x2019;s Omega, McDonald&#x2019;s Omega, and Average Variance Extracted (AVE) coefficients. Results suggested excellent reliability (<xref ref-type="table" rid="tab2">Table 2</xref>).</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Reliability coefficients for each factor of teaching confidence scale.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Coefficient</th>
<th align="center" valign="top">Factor 1</th>
<th align="center" valign="top">Factor 2</th>
<th align="center" valign="top">Factor 3</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="bottom">Cronbach&#x2019;s alpha</td>
<td align="char" valign="bottom" char=".">0.97</td>
<td align="char" valign="bottom" char=".">0.97</td>
<td align="char" valign="bottom" char=".">0.83</td>
</tr>
<tr>
<td align="left" valign="bottom">Bentler&#x2019;s omega</td>
<td align="char" valign="bottom" char=".">0.98</td>
<td align="char" valign="bottom" char=".">0.97</td>
<td align="char" valign="bottom" char=".">0.92</td>
</tr>
<tr>
<td align="left" valign="bottom">McDonald&#x2019;s omega</td>
<td align="char" valign="bottom" char=".">0.87</td>
<td align="char" valign="bottom" char=".">0.92</td>
<td align="char" valign="bottom" char=".">0.64</td>
</tr>
<tr>
<td align="left" valign="bottom">Average variance extracted (AVE)</td>
<td align="char" valign="bottom" char=".">0.75</td>
<td align="char" valign="bottom" char=".">0.77</td>
<td align="char" valign="bottom" char=".">0.50</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Additionally, to overall reliability, factor-specific reliability indices were examined to evaluate the internal consistency of each dimension of the Teaching Confidence Scale. The Mathematics/Science Confidence (F1) and Instructional Innovation (F2) factors demonstrated excellent reliability across all indices (&#x03B1; and &#x03C9;&#x202F;&#x003E;&#x202F;0.95; AVE &#x003E; 0.75), indicating highly consistent measurement of domain-specific teaching confidence. The Classroom Management factor (F3) exhibited slightly lower, yet still acceptable, reliability (<italic>&#x03B1;&#x202F;=</italic> 0.83; <italic>&#x03C9;</italic>&#x202F;=&#x202F;0.92; <italic>AVE</italic>&#x202F;=&#x202F;0.50). This pattern suggests adequate internal consistency while reflecting the broader and more heterogeneous nature of classroom management confidence, particularly within inclusive settings.</p>
</sec>
<sec id="sec20">
<title>Item response theory analyses</title>
<p>Item-level analyses were conducted using the Generalized Partial Credit Model (GPCM). The results indicated satisfactory item fit across all three factors, supporting the adequacy of the model for analyzing item difficulty and discrimination parameters within the Teaching Confidence scale. Results for S_x<sup>2</sup>, degree of freedom, and RMSEA are presented in <xref ref-type="table" rid="tab3">Table 3</xref>.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Item fit indexes as per IRT for each factor of teaching confidence scale.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" colspan="3">Factor</th>
<th align="center" valign="top" colspan="3">GPCM</th>
</tr>
<tr>
<th align="left" valign="top">F1: Confidence to teach math and science</th>
<th align="center" valign="top">F2: Confidence to use instructional innovations</th>
<th align="center" valign="top">F3: Confidence to manage classrooms</th>
<th align="center" valign="top">S_x<sup>2</sup></th>
<th align="center" valign="top">df</th>
<th align="center" valign="top">RMSEA</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="bottom">TC.11</td>
<td/>
<td/>
<td align="center" valign="bottom">17.4</td>
<td align="center" valign="bottom">18</td>
<td align="center" valign="bottom">0</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.18</td>
<td/>
<td/>
<td align="center" valign="bottom">23.7</td>
<td align="center" valign="bottom">17</td>
<td align="center" valign="bottom">0.042</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.10</td>
<td/>
<td/>
<td align="center" valign="bottom">13.4</td>
<td align="center" valign="bottom">20</td>
<td align="center" valign="bottom">0</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.8</td>
<td/>
<td/>
<td align="center" valign="bottom">15.2</td>
<td align="center" valign="bottom">19</td>
<td align="center" valign="bottom">0</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.16</td>
<td/>
<td/>
<td align="center" valign="bottom">30.4</td>
<td align="center" valign="bottom">19</td>
<td align="center" valign="bottom">0.011</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.27</td>
<td/>
<td/>
<td align="center" valign="bottom">39.6</td>
<td align="center" valign="bottom">29</td>
<td align="center" valign="bottom">0.04</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.24</td>
<td/>
<td/>
<td align="center" valign="bottom">15</td>
<td align="center" valign="bottom">17</td>
<td align="center" valign="bottom">0</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.15</td>
<td/>
<td/>
<td align="center" valign="bottom">25.5</td>
<td align="center" valign="bottom">16</td>
<td align="center" valign="bottom">0.011</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.12</td>
<td/>
<td/>
<td align="center" valign="bottom">34.7</td>
<td align="center" valign="bottom">30</td>
<td align="center" valign="bottom">0.023</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.1</td>
<td/>
<td/>
<td align="center" valign="bottom">23.2</td>
<td align="center" valign="bottom">30</td>
<td align="center" valign="bottom">0</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.20</td>
<td/>
<td/>
<td align="center" valign="bottom">10.1</td>
<td align="center" valign="bottom">15</td>
<td align="center" valign="bottom">0</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.9</td>
<td/>
<td/>
<td align="center" valign="bottom">19.8</td>
<td align="center" valign="bottom">18</td>
<td align="center" valign="bottom">0.021</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.6</td>
<td/>
<td/>
<td align="center" valign="bottom">29.1</td>
<td align="center" valign="bottom">25</td>
<td align="center" valign="bottom">0.027</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.13</td>
<td/>
<td align="center" valign="bottom">33.1</td>
<td align="center" valign="bottom">25</td>
<td align="center" valign="bottom">0.038</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.25</td>
<td/>
<td align="center" valign="bottom">28.1</td>
<td align="center" valign="bottom">16</td>
<td align="center" valign="bottom">0.017</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.26</td>
<td/>
<td align="center" valign="bottom">58.9</td>
<td align="center" valign="bottom">28</td>
<td align="center" valign="bottom">0.039</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.19</td>
<td/>
<td align="center" valign="bottom">36.2</td>
<td align="center" valign="bottom">22</td>
<td align="center" valign="bottom">0.013</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.17</td>
<td/>
<td align="center" valign="bottom">13.3</td>
<td align="center" valign="bottom">16</td>
<td align="center" valign="bottom">0</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.2</td>
<td/>
<td align="center" valign="bottom">45.9</td>
<td align="center" valign="bottom">24</td>
<td align="center" valign="bottom">0.033</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.22</td>
<td/>
<td align="center" valign="bottom">36.2</td>
<td align="center" valign="bottom">24</td>
<td align="center" valign="bottom">0.047</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.28</td>
<td/>
<td align="center" valign="bottom">28.7</td>
<td align="center" valign="bottom">22</td>
<td align="center" valign="bottom">0.033</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.21</td>
<td/>
<td align="center" valign="bottom">28.5</td>
<td align="center" valign="bottom">23</td>
<td align="center" valign="bottom">0.032</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.5</td>
<td/>
<td align="center" valign="bottom">50.7</td>
<td align="center" valign="bottom">34</td>
<td align="center" valign="bottom">0.043</td>
</tr>
<tr>
<td/>
<td/>
<td align="center" valign="bottom">TC.3</td>
<td align="center" valign="bottom">24.5</td>
<td align="center" valign="bottom">26</td>
<td align="center" valign="bottom">0</td>
</tr>
<tr>
<td/>
<td/>
<td align="center" valign="bottom">TC.7</td>
<td align="center" valign="bottom">21.6</td>
<td align="center" valign="bottom">27</td>
<td align="center" valign="bottom">0</td>
</tr>
<tr>
<td/>
<td/>
<td align="center" valign="bottom">TC.4</td>
<td align="center" valign="bottom">47.2</td>
<td align="center" valign="bottom">43</td>
<td align="center" valign="bottom">0.021</td>
</tr>
<tr>
<td/>
<td/>
<td align="center" valign="bottom">TC.30</td>
<td align="center" valign="bottom">42.7</td>
<td align="center" valign="bottom">42</td>
<td align="center" valign="bottom">0.008</td>
</tr>
<tr>
<td/>
<td/>
<td align="center" valign="bottom">TC.14</td>
<td align="center" valign="bottom">40.2</td>
<td align="center" valign="bottom">27</td>
<td align="center" valign="bottom">0.043</td>
</tr>
<tr>
<td/>
<td/>
<td align="center" valign="bottom">TC.29</td>
<td align="center" valign="bottom">35.5</td>
<td align="center" valign="bottom">34</td>
<td align="center" valign="bottom">0.014</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>All TC items demonstrated excellent fit (<xref ref-type="table" rid="tab3">Table 3</xref>), since the RMSEA values were formed bellow the cut-off value (0.05). The item discrimination parameter presented with a and the item difficulty parameters b<sub>i</sub>, with 1&#x202F;&#x2264;&#x202F;i&#x202F;&#x2264;&#x202F;5 and the standard errors of the items matched with the model fit as per GPCM are presented in <xref ref-type="table" rid="tab4">Table 4</xref>.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Item parameters and standard error values as per GPCM for each factor of Teaching Confidence Scale.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" colspan="3">Factor</th>
<th align="center" valign="top" rowspan="2">&#x03B1; (SE)</th>
<th align="center" valign="top" rowspan="2">b1 (SE)</th>
<th align="center" valign="top" rowspan="2">b2 (SE)</th>
<th align="center" valign="top" rowspan="2">b3 (SE)</th>
<th align="center" valign="top" rowspan="2">b4 (SE)</th>
<th align="center" valign="top" rowspan="2">b5 (SE)</th>
</tr>
<tr>
<th align="left" valign="top">F1: Confidence to teach math and science</th>
<th align="center" valign="top">F2: Confidence to use instructional innovations</th>
<th align="center" valign="top">F3: Confidence to manage classrooms</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="bottom">TC.1</td>
<td/>
<td/>
<td align="center" valign="bottom">1.87 (0.10)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.53<break/>(0.11)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.83 (0.12)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.45 (0.06)</td>
<td align="char" valign="bottom" char="(">0.34 (0.02)</td>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">TC.10</td>
<td/>
<td/>
<td align="center" valign="bottom">2.99 (0.09)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.24<break/>(0.13)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.65 (0.13)</td>
<td align="char" valign="bottom" char="(">0.49 (0.04)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">TC.11</td>
<td/>
<td/>
<td align="center" valign="bottom">3.83 (0.11)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.15<break/>(0.05)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.28 (0.03)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.68 (0.15)</td>
<td align="char" valign="bottom" char="(">0.5 (0.01)</td>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">TC.12</td>
<td/>
<td/>
<td align="center" valign="bottom">1.57 (0.14)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.45<break/>(0.03)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.16 (0.04)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.82 (0.13)</td>
<td align="char" valign="bottom" char="(">0.24 (0.05)</td>
<td align="char" valign="bottom" char="(">1.17 (0.11)</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.15</td>
<td/>
<td/>
<td align="center" valign="bottom">2.15 (0.21)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.11<break/>(0.17)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.64 (0.03)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.27 (0.12)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.05 (0.01)</td>
<td align="char" valign="bottom" char="(">0.95 (0.13)</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.16</td>
<td/>
<td/>
<td align="center" valign="bottom">3 (0.13)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.3<break/>(0.14)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.61 (0.07)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.35 (0.11)</td>
<td align="char" valign="bottom" char="(">0.69 (0.06)</td>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">TC.18</td>
<td/>
<td/>
<td align="center" valign="bottom">4.11 (0.12)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.13<break/>(0.06)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.15 (0.06)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.97 (0.19)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.62 (0.05)</td>
<td align="char" valign="bottom" char="(">0.52 (0.03)</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.20</td>
<td/>
<td/>
<td align="center" valign="bottom">4.27 (0.27)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.08<break/>(0.07)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.84 (0.06)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.51 (0.21)</td>
<td align="char" valign="bottom" char="(">0.56 (0.04)</td>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">TC.24</td>
<td/>
<td/>
<td align="center" valign="bottom">4.26<break/>(0.11)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.12<break/>(0.13)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.75 (0.05)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.43 (0.23)</td>
<td align="char" valign="bottom" char="(">0.52 (0.03)</td>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">TC.27</td>
<td/>
<td/>
<td align="center" valign="bottom">1.64<break/>(0.12)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.62<break/>(0.17)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.07 (0.08)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.94 (0.12)</td>
<td align="char" valign="bottom" char="(">0.19 (0.01)</td>
<td align="char" valign="bottom" char="(">0.84 (0.02)</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.6</td>
<td/>
<td/>
<td align="center" valign="bottom">1.52<break/>(0.09)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.27<break/>(0.16)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.48 (0.09)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.72 (0.09)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.52 (0.02)</td>
<td align="char" valign="bottom" char="(">0.58 (0.04)</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.8</td>
<td/>
<td/>
<td align="center" valign="bottom">2.94<break/>(0.08)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.06<break/>(0.12)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.18 (0.08)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.18 (0.08)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.57 (0.02)</td>
<td align="char" valign="bottom" char="(">0.47 (0.06)</td>
</tr>
<tr>
<td align="left" valign="bottom">TC.9</td>
<td/>
<td/>
<td align="center" valign="bottom">2.4<break/>(0.06)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.9<break/>(0.21)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.73 (0.08)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.54 (0.07)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.36 (0.01)</td>
<td align="char" valign="bottom" char="(">0.79 (0.07)</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.13</td>
<td/>
<td align="center" valign="bottom">3.23<break/>(0.12)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.45<break/>(0.18)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.67 (0.02)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.08 (0.09)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.23 (0.05)</td>
<td align="char" valign="bottom" char="(">0.78 (0.06)</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.17</td>
<td/>
<td align="center" valign="bottom">5.52<break/>(0.13)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.87<break/>(0.25)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.92 (0.01)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.15 (0.16)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.34 (0.01)</td>
<td align="char" valign="bottom" char="(">0.56 (0.04)</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.19</td>
<td/>
<td align="center" valign="bottom">2.74<break/>(0.17)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.3<break/>(0.11)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.79 (0.02)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.59 (0.05)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.32 (0.03)</td>
<td align="char" valign="bottom" char="(">0.75 (0.04)</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.2</td>
<td/>
<td align="center" valign="bottom">2.28<break/>(0.15)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.63<break/>(0.05)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.5 (0.01)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.13 (0.08)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.09 (0.02)</td>
<td align="char" valign="bottom" char="(">0.72 (0.03)</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.21</td>
<td/>
<td align="center" valign="bottom">2.14<break/>(0.12)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.79<break/>(0.07)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.35 (0.02)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.14 (0.06)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.28 (0.04)</td>
<td align="char" valign="bottom" char="(">0.95 (0.04)</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.22</td>
<td/>
<td align="center" valign="bottom">2.26<break/>(0.14)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.77<break/>(0.14)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.87 (0.02)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.84 (0.06)</td>
<td align="char" valign="bottom" char="(">0.06 (0.02)</td>
<td align="char" valign="bottom" char="(">1.05 (0.05)</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.25</td>
<td/>
<td align="center" valign="bottom">4.73<break/>0.18()</td>
<td align="char" valign="bottom" char="(">&#x2212;1.75<break/>(0.13)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.79 (0.01)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.28 (0.03)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.2 (0.07)</td>
<td align="char" valign="bottom" char="(">0.86 (0.05)</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.26</td>
<td/>
<td align="center" valign="bottom">1.57<break/>(0.08)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.82<break/>(0.19)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.36 (0.07)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.2 (0.02)</td>
<td align="char" valign="bottom" char="(">0.11 (0.03)</td>
<td align="char" valign="bottom" char="(">1.34 (0.02)</td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.28</td>
<td/>
<td align="center" valign="bottom">3.39<break/>(0.09)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.43<break/>(0.21)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.44 (0.06)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.19 (0.01)</td>
<td align="char" valign="bottom" char="(">0.80<break/>(0.12)</td>
<td/>
</tr>
<tr>
<td/>
<td align="center" valign="bottom">TC.5</td>
<td/>
<td align="center" valign="bottom">1<break/>(0.11)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.99<break/>(0.23)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.61 (0.08)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.83 (0.04)</td>
<td align="char" valign="bottom" char="(">0.45 (0.11)</td>
<td align="char" valign="bottom" char="(">1.64 (0.02)</td>
</tr>
<tr>
<td/>
<td/>
<td align="center" valign="bottom">TC.14</td>
<td align="center" valign="bottom">0.96<break/>(0.03)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.3<break/>(0.08)</td>
<td align="char" valign="bottom" char="(">&#x2212;3.68 (0.07)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.25 (0.04)</td>
<td align="char" valign="bottom" char="(">0.29 (0.01)</td>
<td align="char" valign="bottom" char="(">1.35 (0.02)</td>
</tr>
<tr>
<td/>
<td/>
<td align="center" valign="bottom">TC.29</td>
<td align="center" valign="bottom">0.81<break/>(0.02)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.03<break/>(0.19)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.24 (0.06)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.7 (0.03)</td>
<td align="char" valign="bottom" char="(">0.38 (0.02)</td>
<td align="char" valign="bottom" char="(">1.46 (0.01)</td>
</tr>
<tr>
<td/>
<td/>
<td align="center" valign="bottom">TC.3</td>
<td align="center" valign="bottom">1.54<break/>(0.01)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.41<break/>(0.07)</td>
<td align="char" valign="bottom" char="(">&#x2212;2.05 (0.05)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.77 (0.02)</td>
<td align="char" valign="bottom" char="(">0.4 (0.01)</td>
<td align="char" valign="bottom" char="(">1.5 (0.11)</td>
</tr>
<tr>
<td/>
<td/>
<td align="center" valign="bottom">TC.30</td>
<td align="center" valign="bottom">0.82<break/>(0.03)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.41<break/>(0.21)</td>
<td align="char" valign="bottom" char="(">&#x2212;1.81 (0.04)</td>
<td align="char" valign="bottom" char="(">&#x2212;0.98 (0.07)</td>
<td align="char" valign="bottom" char="(">1.13 (0.03)</td>
<td align="char" valign="bottom" char="(">1.17 (0.02)</td>
</tr>
<tr>
<td/>
<td/>
<td align="center" valign="bottom">TC.4</td>
<td align="center" valign="top">0.41<break/>(0.05)</td>
<td align="char" valign="top" char="(">1.47<break/>(0.16)</td>
<td align="char" valign="top" char="(">&#x2212;1.95 (0.03)</td>
<td align="char" valign="top" char="(">2.17 (0.05)</td>
<td align="char" valign="top" char="(">1.91 (0.02)</td>
<td align="char" valign="top" char="(">2.18 (0.02)</td>
</tr>
<tr>
<td/>
<td/>
<td align="center" valign="top">TC.7</td>
<td align="center" valign="top">2.1<break/>(0.13)</td>
<td align="char" valign="top" char="(">&#x2212;1.36<break/>(0.13)</td>
<td align="char" valign="top" char="(">&#x2212;1.66 (0.02)</td>
<td align="char" valign="top" char="(">&#x2212;1.01 (0.09)</td>
<td align="char" valign="top" char="(">0.23 (0.01)</td>
<td align="char" valign="top" char="(">1.39 (0.03)</td>
</tr>
<tr>
<td align="left" valign="top" colspan="9">F1: Iteration: 103, LogLikelihood&#x202F;=&#x202F;&#x2212;1271.473, Max-Change: 0.00009<break/>F2: Iteration: 76, LogLikelihood&#x202F;=&#x202F;&#x2212;1112.889, Max-Change: 0.00009<break/>F3: Iteration: 28, LogLikelihood&#x202F;=&#x202F;&#x2212;1094.260, Max-Change: 0.00010</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Item Characteristic Curves (ICCs) illustrate the probability of endorsing each response category as a function of the latent trait (<italic>&#x03B8;</italic>), thereby providing insight into how well an item discriminates across different levels of teaching confidence. Steeper curves indicate higher discrimination, whereas flatter curves suggest weaker differentiation among respondents. <xref ref-type="fig" rid="fig2">Figure 2</xref> presents the item characteristic curves for each item and factor. Results suggested that all items were discriminative.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Characteristic curves for each item per factor of teaching confidence scale.</p>
</caption>
<graphic xlink:href="feduc-11-1753929-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A series of item characteristic curves for all items across the three Teaching Confidence factors. Each graph shows multiple response category probability curves plotted against the latent trait (theta). The x-axis represents teaching confidence levels, and the y-axis represents the probability of endorsing each Likert response category. The curves demonstrate ordered response thresholds and varying discrimination levels across items.</alt-text>
</graphic>
</fig>
<p>For illustrative purposes, selected items from the Mathematics/Science and Instructional Innovation factors are briefly examined. The ICCs for these items demonstrate clearly ordered response categories and steep slopes, indicating strong discrimination across low-to-moderate levels of teaching confidence (<xref ref-type="fig" rid="fig3">Figure 3</xref>).</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Information functions for each item per factor of teaching confidence scale.</p>
</caption>
<graphic xlink:href="feduc-11-1753929-g003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Item information function plots for individual items within each Teaching Confidence factor. The x-axis represents the latent teaching confidence trait (theta), and the y-axis represents information (measurement precision). Each curve illustrates how much information an item provides across different confidence levels, with higher peaks indicating greater precision at specific trait levels.</alt-text>
</graphic>
</fig>
<p>Correspondingly, their IIFs display pronounced information peaks within these regions, suggesting that these items are especially effective in differentiating teachers with developing confidence. In contrast, items within the Classroom Management factor tend to show broader and lower information curves, reflecting more diffuse measurement precision across the latent trait continuum. This pattern aligns with the test-level information functions and suggests that classroom management confidence is distributed more evenly across confidence levels, albeit with lower overall precision compared to the other factors (<xref ref-type="fig" rid="fig4">Figure 4</xref>).</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Information functions for each item per factor of teaching confidence scale.</p>
</caption>
<graphic xlink:href="feduc-11-1753929-g004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Expanded item information function graphs showing measurement precision of individual items across the latent trait continuum. The curves highlight differences in information peaks among items, with Mathematics/Science and Instructional Innovation items showing sharper peaks at low-to-moderate confidence levels, and Classroom Management items displaying broader, flatter information distributions.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec21">
<title>Measurement invariance across teacher groups</title>
<p>We assessed measurement invariance across teachers&#x2019; current role in education with the use of CFA. The CFA fit indices demonstrated excellent fit for the two groups of participants (<xref ref-type="table" rid="tab5">Table 5</xref>; <xref ref-type="fig" rid="fig5">Figure 5</xref>).</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>CFA fit indices across teachers&#x2019; current role in education.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Current role in education</th>
<th align="center" valign="top">x<sup>2</sup>/df</th>
<th align="center" valign="top">RMSEA</th>
<th align="center" valign="top">CFI</th>
<th align="center" valign="top">TLI</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Substitute Teacher (Special Education)</td>
<td align="char" valign="bottom" char=".">1.16</td>
<td align="char" valign="bottom" char=".">0.014</td>
<td align="char" valign="bottom" char=".">0.992</td>
<td align="char" valign="bottom" char=".">0.991</td>
</tr>
<tr>
<td align="left" valign="middle">Certified Teacher (Special Education)</td>
<td align="char" valign="bottom" char=".">1.21</td>
<td align="char" valign="bottom" char=".">0.022</td>
<td align="char" valign="bottom" char=".">0.998</td>
<td align="char" valign="bottom" char=".">0.989</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Information functions per factor of teaching confidence scale.</p>
</caption>
<graphic xlink:href="feduc-11-1753929-g005.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Test information function plots for the three Teaching Confidence factors. Each curve represents the total measurement precision of a factor across the latent teaching confidence continuum (theta). The Mathematics/Science and Instructional Innovation factors show higher information peaks at low-to-moderate confidence levels, while the Classroom Management factor provides more evenly distributed but comparatively lower information across the trait range.</alt-text>
</graphic>
</fig>
<p>We also evaluated goodness-of-fit measures for the nested TC models to validate full measurement invariance across the teacher&#x2019;s current role in education. All models (Configural, Metric, and Scalar) apart from strict demonstrated good fit. Although, the decrease in CFI at the scalar invariance level exceeded commonly suggested cutoffs, partial scalar invariance was considered acceptable given the stability of factor loadings and the consistency of item functioning across groups. Therefore, the results support configural and metric invariance, with partial support for scalar invariance (<xref ref-type="table" rid="tab6">Table 6</xref>).</p>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Goodness-of-fit measures for the nested TC models to validate full measurement invariance across the teacher&#x2019;s current role in education.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Measurement invariance</th>
<th align="center" valign="top">RMSEA</th>
<th align="center" valign="top">CFI</th>
<th align="center" valign="top">TLI</th>
<th align="center" valign="top">&#x0394;CFI</th>
<th align="center" valign="top">&#x0394;RMSEA</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Configural</td>
<td align="char" valign="top" char=".">0.010</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">0.992</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Metric</td>
<td align="char" valign="top" char=".">0.019</td>
<td align="char" valign="top" char=".">0.998</td>
<td align="char" valign="top" char=".">0.995</td>
<td align="char" valign="top" char=".">&#x2212;0.001</td>
<td align="char" valign="top" char=".">0.009</td>
</tr>
<tr>
<td align="left" valign="top">Scalar</td>
<td align="char" valign="top" char=".">0.027</td>
<td align="char" valign="top" char=".">0.948</td>
<td align="char" valign="top" char=".">0.997</td>
<td align="char" valign="top" char=".">&#x2212;0.050</td>
<td align="char" valign="top" char=".">0.008</td>
</tr>
<tr>
<td align="left" valign="top">Strict</td>
<td align="char" valign="top" char=".">0.076</td>
<td align="char" valign="top" char=".">0.942</td>
<td align="char" valign="top" char=".">0.941</td>
<td align="char" valign="top" char=".">&#x2212;0.006</td>
<td align="char" valign="top" char=".">0.049</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Overall, the IRT analyses provided complementary evidence at both the item and test levels, including item fit, discrimination, difficulty parameters, and measurement precision across the latent trait continuum.</p>
</sec>
</sec>
<sec sec-type="discussion" id="sec22">
<title>Discussion</title>
<p>The present study aimed to validate the Greek version of the Teaching Confidence Scale (TCS) among primary special education teachers, focusing on mathematics/science instruction, instructional innovation, and classroom management. Drawing on <xref ref-type="bibr" rid="ref7">Bandura&#x2019;s (1997)</xref> social cognitive theory and prior work on teacher self-efficacy (<xref ref-type="bibr" rid="ref94">Tschannen-Moran and Hoy, 2001</xref>; <xref ref-type="bibr" rid="ref106">Zee and Koomen, 2016</xref>), the findings confirm the multidimensional nature of teaching confidence and demonstrate that the TCS is a reliable and psychometrically sound measure within the Greek inclusive education context.</p>
<sec id="sec23">
<title>Dimensionality and construct validity</title>
<p>Consistent with theoretical expectations, confirmatory factor analysis (CFA) supported a three-factor model representing teachers&#x2019; confidence in (a) mathematics and science instruction, (b) instructional innovation, and (c) classroom management. The model achieved excellent fit indices (RMSEA&#x202F;=&#x202F;0.027, CFI&#x202F;=&#x202F;0.994, TLI&#x202F;=&#x202F;0.956), validating the multidimensional conceptualization proposed by <xref ref-type="bibr" rid="ref85">Skaalvik and Skaalvik (2007)</xref> and further supported by subsequent research on domain-specific teacher efficacy (<xref ref-type="bibr" rid="ref49">Klassen and Tze, 2014</xref>; <xref ref-type="bibr" rid="ref77">Savolainen et al., 2020</xref>). These results align with earlier validation studies indicating that teaching confidence is best conceptualized as a set of related but distinct domains rather than a unidimensional construct (<xref ref-type="bibr" rid="ref66">Pietsch et al., 2003</xref>; <xref ref-type="bibr" rid="ref5">Auslander et al., 2006</xref>).</p>
<p>The strong loadings observed for the Mathematics/Science Instruction factor highlight the centrality of subject-specific confidence in predicting instructional quality, persistence, and adaptive teaching strategies in inclusive classrooms (<xref ref-type="bibr" rid="ref41">Hodgen et al., 2018</xref>; <xref ref-type="bibr" rid="ref54">Lazarides et al., 2020</xref>). Similarly, the robustness of the Instructional Innovation factor is consistent with research identifying teachers&#x2019; confidence in adopting new technologies and differentiated pedagogies as a key driver of inclusive practice (<xref ref-type="bibr" rid="ref27">Ertmer and Ottenbreit-Leftwich, 2010</xref>; <xref ref-type="bibr" rid="ref30">Florian and Black-Hawkins, 2011</xref>).</p>
<p>By contrast, the Classroom Management dimension demonstrated slightly lower precision in the IRT analyses, although its internal consistency remained within acceptable to good levels (<italic>&#x03B1;</italic>&#x202F;=&#x202F;0.83). This finding warrants careful contextual interpretation rather than being viewed as a psychometric limitation per se. In Greek inclusive classrooms, classroom management is often shaped by structural constraints such as large class sizes, limited availability of specialized behavioral support personnel, and centralized disciplinary policies that restrict teachers&#x2019; autonomy in implementing individualized behavioral interventions. Moreover, special education teachers frequently operate in co-teaching or parallel support arrangements, which may dilute perceived control over classroom routines and behavioral decision-making. These contextual characteristics may contribute to greater variability in responses and reduced measurement precision for management-related items.</p>
<p>This interpretation is consistent with prior research highlighting the influence of institutional culture, policy constraints, and role ambiguity on teachers&#x2019; perceived efficacy in classroom management (<xref ref-type="bibr" rid="ref28">Finch et al., 2023</xref>; <xref ref-type="bibr" rid="ref51">Koutrouba, 2013</xref>; <xref ref-type="bibr" rid="ref86">Skiba and Peterson, 2000</xref>; <xref ref-type="bibr" rid="ref98">Vidi&#x0107;, 2022</xref>). Within this context, lower precision may reflect genuine heterogeneity in teachers&#x2019; experiences rather than inadequacies of the construct itself.</p>
</sec>
<sec id="sec24">
<title>Reliability and precision and implications for item refinement</title>
<p>The TCS demonstrated excellent internal consistency and model-based reliability, with Cronbach&#x2019;s alpha and Bentler&#x2019;s and McDonald&#x2019;s Omega values ranging from 0.83 to 0.98, exceeding conventional benchmarks for research instruments (<xref ref-type="bibr" rid="ref23">DeVellis, 2017</xref>). The convergence between classical reliability indices and IRT-based parameters provides strong evidence for the internal coherence and stability of the scale. In addition, Average Variance Extracted (AVE) values (0.50&#x2013;0.77) supported satisfactory convergent validity across all domains.</p>
<p>IRT analyses using the Generalized Partial Credit Model (<xref ref-type="bibr" rid="ref61">Muraki, 1992</xref>) further strengthened the validation evidence. All items exhibited excellent fit (RMSEA &#x003C; 0.05), indicating appropriate functioning across the continuum of teaching confidence. Discrimination parameters were particularly strong for items assessing mathematics/science instruction and instructional innovation, suggesting that these items are especially sensitive to differences in teachers&#x2019; confidence levels, likely reflecting the influence of targeted training and pedagogical support in these areas (<xref ref-type="bibr" rid="ref10">Boone et al., 2014</xref>; <xref ref-type="bibr" rid="ref47">Kim et al., 2013</xref>; <xref ref-type="bibr" rid="ref71">Reise et al., 2025</xref>).</p>
<p>Information function analyses indicated that the TCS provides the greatest measurement precision at low-to-moderate levels of teaching confidence. From a practical standpoint, this pattern is advantageous for professional development contexts, as it enhances the instrument&#x2019;s capacity to identify teachers who may benefit most from targeted interventions. At the same time, the relatively lower information provided by certain classroom management items at higher confidence levels suggests opportunities for future item refinement. Specifically, adding items that capture advanced or context-sensitive management strategies such as collaborative behavior planning, co-teaching coordination, or inclusive restorative practices may enhance precision at the upper end of the confidence continuum (<xref ref-type="bibr" rid="ref57">Linacre, 2002</xref>; <xref ref-type="bibr" rid="ref91">Thomas, 2011</xref>).</p>
</sec>
<sec id="sec25">
<title>Measurement invariance and contextual generalizability</title>
<p>Measurement invariance analyses supported equivalence of the TCS across professional status groups (substitute versus certified special education teachers) up to the scalar level, indicating that the scale measures teaching confidence comparably across these subgroups (<xref ref-type="bibr" rid="ref69">Putnick and Bornstein, 2016</xref>). The observed decline in fit at the strict invariance level is consistent with findings from previous validation studies and is commonly attributed to differences in response consistency rather than construct non-equivalence (<xref ref-type="bibr" rid="ref47">Kim et al., 2013</xref>; <xref ref-type="bibr" rid="ref77">Savolainen et al., 2020</xref>).</p>
</sec>
<sec id="sec26">
<title>Positioning within international research</title>
<p>Overall, the findings corroborate international research conceptualizing teaching confidence as a multifaceted construct shaped by instructional, emotional, and contextual dimensions (<xref ref-type="bibr" rid="ref7">Bandura, 1997</xref>; <xref ref-type="bibr" rid="ref29">Florian, 2019</xref>; <xref ref-type="bibr" rid="ref79">Schillinger et al., 2021</xref>). The three-factor structure aligns with evidence that confidence in STEM-related instruction, instructional innovation, and classroom management represents distinct yet interrelated domains influencing inclusive practice (<xref ref-type="bibr" rid="ref30">Florian and Black-Hawkins, 2011</xref>; <xref ref-type="bibr" rid="ref77">Savolainen et al., 2020</xref>).</p>
<p>Notably, the comparatively lower precision observed for classroom management confidence is consistent with international findings identifying behavior management as one of the most demanding and stress-inducing aspects of inclusive teaching (<xref ref-type="bibr" rid="ref1">Aloe et al., 2014</xref>; <xref ref-type="bibr" rid="ref56">Lehikoinen et al., 2025</xref>; <xref ref-type="bibr" rid="ref64">Park et al., 2025</xref>; <xref ref-type="bibr" rid="ref67">Poulou et al., 2018</xref>; <xref ref-type="bibr" rid="ref78">Savolainen et al., 2022</xref>). In contrast, the strong performance of instructional innovation items may reflect increased exposure of Greek teachers to digital tools and inclusive pedagogical frameworks, such as Universal Design for Learning, through recent professional development initiatives (<xref ref-type="bibr" rid="ref12">CAST, 2024</xref>; <xref ref-type="bibr" rid="ref62">Organisation for Economic Co-operation and Development, 2019</xref>). These patterns highlight both shared international trends and context-specific challenges, reinforcing the importance of culturally and institutionally sensitive validation studies.</p>
</sec>
<sec id="sec27">
<title>Implications for research and practice</title>
<p>These findings hold several theoretical, methodological, and practical implications for teacher education and inclusive schooling. From a methodological perspective, the study highlights the potential of IRT as a powerful framework for educational scale validation. By modeling latent constructs and item-level precision, IRT enables researchers to move beyond global reliability indices and examine how specific items function across varying levels of teaching confidence (<xref ref-type="bibr" rid="ref22">DeMars, 2010</xref>; <xref ref-type="bibr" rid="ref24">Embretson and Reise, 2000</xref>). The use of the GPCM (<xref ref-type="bibr" rid="ref61">Muraki, 1992</xref>) provided robust evidence that the TCS yields consistent, interpretable, and fair measurement across subgroups of educators. This approach enhances the psychometric rigor of teaching confidence research, supporting cross-cultural comparisons, longitudinal tracking, and program evaluation (<xref ref-type="bibr" rid="ref47">Kim et al., 2013</xref>; <xref ref-type="bibr" rid="ref72">Reise and Revicki, 2015</xref>). The integration of IRT methods into teacher education research thus promotes a deeper, data-driven understanding of professional growth and efficacy.</p>
<p>From a practical and applied standpoint, the validated TCS serves as a diagnostic and developmental tool that can inform both individual and systemic improvement. For teacher educators and policymakers, the identification of domain-specific confidence profiles in mathematics/science instruction, instructional innovation, and classroom management offers targeted entry points for professional learning design. For instance, teachers with lower classroom management confidence might benefit from evidence-based behavior support frameworks or peer coaching models (<xref ref-type="bibr" rid="ref53">Kunter et al., 2013</xref>; <xref ref-type="bibr" rid="ref67">Poulou et al., 2018</xref>), whereas those with weaker innovation confidence could engage in collaborative digital pedagogy workshops that build competence in UDL and technology-enhanced teaching (<xref ref-type="bibr" rid="ref3">Appleton, 2008</xref>; <xref ref-type="bibr" rid="ref12">CAST, 2024</xref>; <xref ref-type="bibr" rid="ref30">Florian and Black-Hawkins, 2011</xref>; <xref ref-type="bibr" rid="ref65">Peng et al., 2024</xref>).</p>
<p>At a school and policy level, the TCS can support data-informed leadership decisions, guiding resource allocation, mentoring structures, and evaluation of training effectiveness (<xref ref-type="bibr" rid="ref62">Organisation for Economic Co-operation and Development, 2019</xref>; <xref ref-type="bibr" rid="ref83">Shields and Hesbol, 2019</xref>). By integrating confidence assessment into professional development cycles, schools can track progress, identify collective needs, and promote reflective, evidence-based practice. Furthermore, longitudinal use of the scale could facilitate monitoring of how teaching confidence evolves in response to curriculum reform, inclusion policies, or technological change (<xref ref-type="bibr" rid="ref29">Florian, 2019</xref>; <xref ref-type="bibr" rid="ref77">Savolainen et al., 2020</xref>).</p>
<p>Finally, for research, the availability of a psychometrically validated, multidimensional scale opens avenues for comparative and predictive studies examining the interplay between teaching confidence, pedagogical quality, and student outcomes. Future investigations could explore how variations in teaching confidence influence inclusive classroom dynamics, student engagement, and learning achievement (<xref ref-type="bibr" rid="ref54">Lazarides et al., 2020</xref>; <xref ref-type="bibr" rid="ref106">Zee and Koomen, 2016</xref>). The scale thus provides both a measurement innovation and a practical instrument that bridges the gap between theory, teacher development, and educational equity.</p>
</sec>
<sec id="sec28">
<title>Limitations and future directions</title>
<p>While the findings of this study provide robust evidence for the multidimensionality and psychometric soundness of the TCS, several limitations must be acknowledged to guide interpretation and future research.</p>
<p>First, the composition of the sample poses certain constraints on the generalizability of the findings. Participants were predominantly female and employed in primary special education, reflecting the demographic reality of the Greek teaching workforce but limiting extrapolation to male teachers, general education contexts, or other educational levels. The reliance on a convenience sample of 305 primary special education teachers may also restrict the representativeness of the national teaching population. Future research should therefore validate the scale with more gender-balanced and diverse samples, including secondary and mainstream educators, to examine its applicability across educational settings. Expanding the research to more heterogeneous and cross-cultural contexts would further allow exploration of whether the structure and functioning of teaching confidence differ across educational systems with distinct inclusion policies (<xref ref-type="bibr" rid="ref48">Klassen and Chiu, 2010</xref>; <xref ref-type="bibr" rid="ref69">Putnick and Bornstein, 2016</xref>; <xref ref-type="bibr" rid="ref29">Florian, 2019</xref>; <xref ref-type="bibr" rid="ref77">Savolainen et al., 2020</xref>). Nevertheless, the present study provides an important first step toward understanding the multidimensional nature of teaching confidence in inclusive settings.</p>
<p>Second, the study relied exclusively on self-reported measures, which, although common in teacher efficacy research, may introduce response bias, including social desirability and overestimation of competence (<xref ref-type="bibr" rid="ref104">Wyatt, 2018</xref>; <xref ref-type="bibr" rid="ref106">Zee and Koomen, 2016</xref>). Combining self-report data with external or performance-based measures such as peer observations, classroom behavior assessments, or student feedback would allow for triangulation and stronger construct validation (<xref ref-type="bibr" rid="ref49">Klassen and Tze, 2014</xref>; <xref ref-type="bibr" rid="ref94">Tschannen-Moran and Hoy, 2001</xref>).</p>
<p>Third, the cross-sectional design limits the ability to infer developmental changes or causal relationships. Longitudinal research could explore how teaching confidence evolves over time in response to professional experience, mentoring, or policy reforms (<xref ref-type="bibr" rid="ref20">Day et al., 2016</xref>; <xref ref-type="bibr" rid="ref85">Skaalvik and Skaalvik, 2007</xref>). Moreover, examining the scale&#x2019;s predictive validity in relation to objective indicators of teaching quality, classroom climate, and student learning outcomes would clarify its practical utility and ecological validity (<xref ref-type="bibr" rid="ref54">Lazarides et al., 2020</xref>; <xref ref-type="bibr" rid="ref107">Zee and Koomen, 2020</xref>).</p>
<p>Finally, qualitative and mixed-methods approaches including teacher interviews, focus groups, or classroom ethnographies could enrich understanding of how confidence is enacted in everyday teaching and how it interacts with contextual variables such as leadership support, collaboration, or school culture (<xref ref-type="bibr" rid="ref31">Florian and Spratt, 2013</xref>; <xref ref-type="bibr" rid="ref95">Tsouloupas et al., 2010</xref>). Such insights could deepen theoretical understanding of the mechanisms linking confidence with professional practice and emotional well-being.</p>
<p>In summary, future research should pursue a multi-method, multi-level agenda, integrating longitudinal, experimental, and qualitative designs to capture the dynamic, contextual, and relational nature of teaching confidence. This approach would extend the present study&#x2019;s contribution, moving from psychometric validation toward a more comprehensive framework linking teacher beliefs, inclusive pedagogy, and educational outcomes.</p>
</sec>
</sec>
<sec sec-type="conclusions" id="sec29">
<title>Conclusion</title>
<p>This study provides robust empirical support for a three-dimensional conceptualization of teaching confidence, encompassing mathematics/science instruction, instructional innovation, and classroom management, and establishes the Teaching Confidence Scale (TCS) as a valid and reliable instrument within the Greek educational context. The combined use of confirmatory factor analysis and Item Response Theory (IRT) offers a comprehensive validation framework, yielding strong evidence for the scale&#x2019;s dimensional structure, reliability, and measurement precision across varying levels of teaching confidence.</p>
<p>Beyond its psychometric contribution, the findings underscore the central role of teaching confidence in shaping inclusive and effective educational practice. Teaching confidence emerges as a multidimensional construct that influences teachers&#x2019; instructional design, engagement with innovative pedagogical approaches, and capacity to manage diverse classroom environments. By capturing these domain-specific dimensions, the TCS enables a more nuanced understanding of teachers&#x2019; professional strengths and developmental needs in inclusive settings.</p>
<p>The validated scale offers practical utility for informing teacher education, professional development, and school improvement initiatives. Its application can support the systematic identification of areas where teachers may benefit from targeted training, thereby contributing to the enhancement of instructional quality and inclusive practice. Moreover, the multidimensional structure of the TCS facilitates evidence-based evaluation of interventions aimed at strengthening teaching confidence across distinct pedagogical domains.</p>
<p>Integrating theoretical perspectives on self-efficacy with rigorous psychometric methodology, this study advances the measurement of teaching confidence and provides a foundation for future research. Subsequent studies may extend this work by examining the scale&#x2019;s applicability across educational systems, exploring longitudinal changes in teaching confidence, and further investigating its relationship with teacher well-being and student outcomes in inclusive educational contexts.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec30">
<title>Data availability statement</title>
<p>The datasets presented in this article are not readily available because all participants were informed that their data will not be shared. Moreover, the research project is ongoing and we need data to complete it. Requests to access the datasets should be directed to Garyfalia Charitaki, <email xlink:href="mailto:gcharitaki@uth.gr">gcharitaki@uth.gr</email>.</p>
</sec>
<sec sec-type="ethics-statement" id="sec31">
<title>Ethics statement</title>
<p>The studies involving humans were approved by University of Crete Review Board. The studies were conducted in accordance with the local legislation and institutional requirements. The participants provided their written informed consent to participate in this study. Written informed consent was obtained from the individual(s) for the publication of any potentially identifiable images or data included in this article.</p>
</sec>
<sec sec-type="author-contributions" id="sec32">
<title>Author contributions</title>
<p>SG: Visualization, Resources, Funding acquisition, Conceptualization, Project administration, Formal analysis, Validation, Data curation, Methodology, Software, Writing &#x2013; review &#x0026; editing, Writing &#x2013; original draft, Supervision, Investigation. A-SA: Resources, Investigation, Software, Funding acquisition, Formal analysis, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing, Data curation, Methodology, Validation, Conceptualization, Project administration, Supervision. GC: Writing &#x2013; original draft, Software, Funding acquisition, Visualization, Supervision, Formal analysis, Methodology, Conceptualization, Validation, Resources, Data curation, Writing &#x2013; review &#x0026; editing, Project administration, Investigation. AA: Validation, Data curation, Formal analysis, Supervision, Conceptualization, Writing &#x2013; review &#x0026; editing, Project administration, Methodology, Software, Resources, Writing &#x2013; original draft, Investigation, Visualization, Funding acquisition. GA: Data curation, Formal analysis, Writing &#x2013; original draft, Project administration, Methodology, Visualization, Resources, Investigation, Software, Conceptualization, Supervision, Funding acquisition, Validation, Writing &#x2013; review &#x0026; editing. MC: Supervision, Methodology, Data curation, Investigation, Software, Conceptualization, Writing &#x2013; review &#x0026; editing, Validation, Resources, Visualization, Project administration, Writing &#x2013; original draft, Formal analysis, Funding acquisition.</p>
</sec>
<sec sec-type="COI-statement" id="sec33">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="sec34">
<title>Generative AI statement</title>
<p>The author(s) declared that Generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="sec35">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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<fn-group>
<fn fn-type="custom" custom-type="edited-by" id="fn0001">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/156288/overview">Geoff Lindsay</ext-link>, University of Warwick, United Kingdom</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by" id="fn0002">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3165659/overview">Marlon F. Adlit</ext-link>, Department of Education, Philippines</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3214020/overview">Desy Kumala Sari</ext-link>, Universitas Musamus Fakultas Keguruan dan Ilmu Pendidikan, Indonesia</p>
</fn>
</fn-group>
<app-group>
<app id="app1">
<title>Appendix</title>
<fig position="float" id="fig6">
<label>Appendix FIGURE 6</label>
<graphic xlink:href="feduc-11-1753929-g006.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Survey form titled &#x201C;Teacher Confidence Scale&#x201D; displayed vertically, consisting of statements about teaching abilities with a six-point Likert scale (one for strongly disagree, six for strongly agree) beside each statement, alongside instructions and a key for response choices.</alt-text>
</graphic>
</fig>
</app>
</app-group>
</back>
</article>