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<journal-id journal-id-type="publisher-id">Front. Educ.</journal-id>
<journal-title>Frontiers in Education</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Educ.</abbrev-journal-title>
<issn pub-type="epub">2504-284X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-id pub-id-type="doi">10.3389/feduc.2025.1490875</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Education</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Teacher perceptions of classroom composition and instructional strategies in primary school science education</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Neubauer-Hametner</surname>
<given-names>Doris</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2828129/overview"/>
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<contrib contrib-type="author">
<name>
<surname>Wendt</surname>
<given-names>Heike</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Kasper</surname>
<given-names>Daniel</given-names>
</name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>Institute Knowledge Transfer, Private University of Education, Diocese of Linz</institution>, <addr-line>Linz</addr-line>, <country>Austria</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Education Research and Teacher Education, University of Graz</institution>, <addr-line>Graz</addr-line>, <country>Austria</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of General, Intercultural and International Comparative Education Studies and Educational Psychology, Faculty of Education, University of Hamburg</institution>, <addr-line>Hamburg</addr-line>, <country>Germany</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0005">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/533009/overview">Mary Frances Rice</ext-link>, University of New Mexico, United States</p>
</fn>
<fn fn-type="edited-by" id="fn0006">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2153863/overview">Vaughan Prain</ext-link>, Deakin University, Australia</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2995301/overview">Ann-Katrin Krebs</ext-link>, Leuphana University L&#x00FC;neburg, Germany</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Doris Neubauer-Hametner, <email>doris.neubauer@ph-linz.at</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>10</day>
<month>10</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>10</volume>
<elocation-id>1490875</elocation-id>
<history>
<date date-type="received">
<day>03</day>
<month>09</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>05</day>
<month>09</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Neubauer-Hametner, Wendt and Kasper.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Neubauer-Hametner, Wendt and Kasper</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). 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.</p>
</license>
</permissions>
<abstract>
<p>Teachers constantly need to make decisions about which instructional strategies to apply in their classrooms, in particular in the context of so-called adaptive teaching. Research, therefore, needs to explore how such decisions are informed and chosen. Using teacher and student data from the Austrian 2019 TIMS study, the present cross-sectional empirical study addressed three issues. First, we explored the frequency of use of inquiry-based instructional strategies (IQIS) by Austrian primary school science teachers. Second, we asked whether there was a potential relationship between this frequency of use and science teachers&#x2019; perceived challenges in terms of heterogeneity, achievement and motivation? Finally, we examined potential associations between the frequency of use of specific IQIS and science teachers&#x2019; characteristics. Using an IRT-approach and multiple regressions we managed to identify the four inquiry-based instructional strategies: Demonstrating, Connecting, Involving and Cognitively Activating. Our results show a significant association between teachers&#x2019; perceptions, teachers&#x2019; characteristics and the frequency of use of IQIS. This suggests that primary school science teachers&#x2019; perceptions of their class composition directly influence their choice of IQIS and that this perception is co-determined by certain teacher characteristics. The results are discussed in relation to educational equity, implications for pre-service training, and further training for primary school teachers but also regarding inquiry-based instruction, as our results contrast with numerous studies that examine student ratings as a basis for instructional quality.</p>
</abstract>
<kwd-group>
<kwd>TIMSS</kwd>
<kwd>primary school science</kwd>
<kwd>inquiry-based learning</kwd>
<kwd>instructional strategies</kwd>
<kwd>class perception</kwd>
<kwd>class composition</kwd>
<kwd>instructional quality</kwd>
</kwd-group>
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<ref-count count="132"/>
<page-count count="15"/>
<word-count count="13168"/>
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<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Teacher Education</meta-value>
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</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<sec id="sec2">
<label>1.1</label>
<title>Instructional quality in primary school science education</title>
<p>Numerous studies have examined various aspects of instructional quality, particularly in secondary school science and mathematics teaching (<xref ref-type="bibr" rid="ref9">Baumert et al., 2010</xref>; <xref ref-type="bibr" rid="ref42">Gustafsson and Nilsen, 2016</xref>; <xref ref-type="bibr" rid="ref92">Nortvedt et al., 2016</xref>; <xref ref-type="bibr" rid="ref105">Scherer and Nilsen, 2016</xref>). Recently, some studies have explored these in to primary school science education (<xref ref-type="bibr" rid="ref27">Decristan et al., 2016</xref>; <xref ref-type="bibr" rid="ref37">Fauth et al., 2014a</xref>, <xref ref-type="bibr" rid="ref38">2014b</xref>; <xref ref-type="bibr" rid="ref122">Teig et al., 2018</xref>; <xref ref-type="bibr" rid="ref123">Teig et al., 2019</xref>). The results of all these studies show that classroom management, a supportive environment and cognitively activating instruction, the basic dimensions of instructional quality, have a significant, albeit often indirect, influence on students&#x2019; learning outcomes in science education (<xref ref-type="bibr" rid="ref36">Fauth et al., 2019</xref>). These three dimensions of instructional quality have provided important insights into the field of instructional research, but from an educators&#x2019; perspective, they do not seem to capture the whole scope of the issue. However, it remains certain that teachers play an important role and appear to have an influence on effective instruction (<xref ref-type="bibr" rid="ref16">Bl&#x00F6;meke et al., 2016</xref>; <xref ref-type="bibr" rid="ref14">Bl&#x00F6;meke et al., 2022</xref>; <xref ref-type="bibr" rid="ref91">Nilsen and Gustafsson, 2016</xref>). Furthermore, although it is now generally accepted that teaching and learning processes depend primarily on the way relationships are structured, i.e., on the interactions within a learning group and on the reactions between teachers and learners, the interaction component has been neglected as a core issue of a pedagogical perspective in studies on instructional quality.</p>
<p>In the Austrian context, little is known about interaction and instructional quality in general (<xref ref-type="bibr" rid="ref52">Itzlinger-Bruneforth et al., 2020</xref>). Although monitoring data on the frequency of experiments in science education are available (see TIMSS cycles since 1995), they provide little evidence for the design of inquiry-based educational processes in Austrian classrooms in terms of instructional quality. In addition, Austrian teacher and student ratings from large-scale assessments reveal a comparatively undifferentiated picture. The study addresses this research question, firstly with in-depth analyses by focusing on primary teachers in inquiry-based science teaching and initially identifying instructional strategies used by them. In a second step, the study examines relationships between teachers&#x2019; perceptions of problematic characteristics of class composition and lesson design, and for the third step, we look at associations with professionalization characteristics as possible factors influencing lesson design. The study uses teacher and student questionnaire data from TIMSS 2019 and aims, on the one hand, to make a theoretical contribution by proposing a new, expanded theoretical model of inquiry-based learning in primary education and, secondly, to offer practical suggestions for pre-service training and further training with regard to improving the quality of inquiry-based teaching.</p>
</sec>
</sec>
<sec id="sec3">
<label>2</label>
<title>Conceptual framework</title>
<sec id="sec4">
<label>2.1</label>
<title>Inquiry-based approach in primary schools</title>
<p>Some researchers regard inquiry-based teaching elements as an appropriate basis for high-quality science education (<xref ref-type="bibr" rid="ref58">Kahlert et al., 2015</xref>; <xref ref-type="bibr" rid="ref67">Kn&#x00F6;rzer et al., 2019</xref>). Despite controversial debates around the role of inquiry-based teaching (<xref ref-type="bibr" rid="ref119">Strat et al., 2024</xref>), there is broad consensus that this approach, when adapted to a target group and modeled in a didactically appropriate manner, encourages learners to systematically address life-world connecting issues (<xref ref-type="bibr" rid="ref22">Carroll, 1989</xref>; <xref ref-type="bibr" rid="ref49">Hartinger and Lange-Schubert, 2020</xref>) and engage with them in a critical and reflective manner (<xref ref-type="bibr" rid="ref3">Anderson, 2002</xref>; <xref ref-type="bibr" rid="ref25">Crawford, 2014</xref>; <xref ref-type="bibr" rid="ref40">Furtak et al., 2012</xref>). Depending on the context, didactic orientation, and focus of the objectives, inquiry-based educational approaches are defined in a variety of ways (<xref ref-type="bibr" rid="ref79">Minner et al., 2010</xref>; <xref ref-type="bibr" rid="ref101">R&#x00F6;nnebeck et al., 2016</xref>). <xref ref-type="bibr" rid="ref3">Anderson (2002)</xref> conceptualizes inquiry-based learning processes on three contextual levels: (1) profession-related in the research work of a person engaged in scientific activity, (2) learning process-related through active student participation, whereby learners acquire conceptual and procedural knowledge in the application of inquiry-based methods and understand the nature of science, and (3) the subject-specific teaching approach as a method in itself, which a teacher can use as a pedagogical tool to initiate learning processes. Due to the present study&#x2019;s primary school teacher focus, this study mainly refers to the third point.</p>
</sec>
<sec id="sec5">
<label>2.2</label>
<title>Inquiry-based learning</title>
<p>Deepening understanding of scientific content and topics is the core idea behind the inquiry-based learning approach (<xref ref-type="bibr" rid="ref25">Crawford, 2014</xref>; <xref ref-type="bibr" rid="ref62">Kleickmann, 2012</xref>; <xref ref-type="bibr" rid="ref121">Teig, 2022</xref>). According to <xref ref-type="bibr" rid="ref25">Crawford (2014)</xref>, science teachers are encouraged to arrange specific learning opportunities so that learners can practice various inquiry-based aspects. This includes asking research questions, planning and conducting investigations, or interpreting data as evidence. It also encompasses developing arguments, creating models, and communicating results, which in turn is supposed to improve their understanding of the natural world using logical reasoning and scientific evidence.</p>
<p>Multi-perspective approaches in science education also require that the focus is not merely on systematically and consistently going through idealized knowledge acquiring processes, but that interactive aspects play an equally important role (<xref ref-type="bibr" rid="ref81">M&#x00F6;ller, 2016</xref>; <xref ref-type="bibr" rid="ref116">Steffensky and Neuhaus, 2018</xref>). Socially cooperative learning opportunities arise primarily in inquiry-based instruction through discursive exchange in varied social constellations and through the shared experience of project work (<xref ref-type="bibr" rid="ref49">Hartinger and Lange-Schubert, 2020</xref>; <xref ref-type="bibr" rid="ref82">M&#x00F6;ller et al., 2006</xref>; <xref ref-type="bibr" rid="ref87">National Research Council, 2000</xref>).</p>
<p>Inquiry-based science education in the primary school context, in the sense of an expanded understanding of subject didactics, thus encompasses both the repetition of cyclical inquiry phases and social-cooperative, metacognitive, and conceptual didactic design elements (<xref ref-type="bibr" rid="ref58">Kahlert et al., 2015</xref>; <xref ref-type="bibr" rid="ref67">Kn&#x00F6;rzer et al., 2019</xref>).</p>
</sec>
<sec id="sec6">
<label>2.3</label>
<title>Primary school science teachers in inquiry-based teaching settings</title>
<p>When designing inquiry-based learning opportunities, both teachers and learners play an important role as interaction designers (<xref ref-type="bibr" rid="ref29">Dobber et al., 2017</xref>; <xref ref-type="bibr" rid="ref40">Furtak et al., 2012</xref>). Both of them being co-determining whether concepts are promoted and ultimately understood during a classroom inquiry-based intervention (<xref ref-type="bibr" rid="ref30">Driver, 1995</xref>). In their meta-analyses, <xref ref-type="bibr" rid="ref29">Dobber et al. (2017)</xref> show, however, that the type of teacher regulation contributes to the creation of a research attitude and is controlled within three levels of regulation, relating to a metacognitive, socio-cooperative, or conceptual level. Metacognition, in an inquiry-based context, is specifically understood as reflective thinking about one&#x2019;s own mental constructs. The extent of guidance and the degree of student involvement are regulated by the teacher in accordance with their learning group (<xref ref-type="bibr" rid="ref89">Neubauer-Hametner et al., 2025</xref>; <xref ref-type="bibr" rid="ref29">Dobber et al., 2017</xref>; <xref ref-type="bibr" rid="ref127">Vorholzer and Von Aufschnaiter, 2019</xref>). For our study, we derive (and anticipate at this point) that the control levels, the degrees of teacher support, and the extent of student involvement are reflected in didactic instructional strategies that are used by science teachers consistently.</p>
</sec>
<sec id="sec7">
<label>2.4</label>
<title>Inquiry-based instructional strategies</title>
<p>Inquiry-based instructional strategies (IQIS<xref ref-type="fn" rid="fn0002"><sup>2</sup></xref>) are evident in professional teaching through reflective, learning group- and goal-oriented lesson planning that aims to achieve the learning goals while taking into account the individual needs of the learners (<xref ref-type="bibr" rid="ref58">Kahlert et al., 2015</xref>). According to <xref ref-type="bibr" rid="ref61">Klauer and Leutner (2012)</xref>, they are described as a meaningful combination of methods, techniques, and procedures that may be regarded as conscious design decisions made by teachers. The high degree of freedom in Austrian primary school science merits the use of diverse instructional strategies to adapt inquiry-based learning processes.</p>
<sec id="sec8">
<label>2.4.1</label>
<title>Demonstrating IQIS</title>
<p>Demonstrating IQIS focus on promoting conceptual knowledge and understanding and initiating metacognitive higher-order thinking processes (<xref ref-type="bibr" rid="ref9">Baumert et al., 2010</xref>; <xref ref-type="bibr" rid="ref79">Minner et al., 2010</xref>). They are characterized by transmissive teaching and learning beliefs, according to which the science teacher is the key figure in instruction. Due to the highly guided nature of the teaching activities, learning content is predominantly acquired through individual work. It is pre-structured and is preferably carried out by learners through cognitive activity. The teacher acts as a moderator and supports the inquiry-based learning. This is done by incorporating learning materials as teaching resources, guiding natural observations, demonstrating investigations, introducing new concepts, and summarizing acquired fact knowledge, and using in a learning opportunity to link conclusions from previous investigations. Demonstrating IQIS focuse on the acquisition of basic knowledge that may later be used for more demanding thinking and problem-solving processes (<xref ref-type="bibr" rid="ref78">Mayer, 2004</xref>; <xref ref-type="bibr" rid="ref81">M&#x00F6;ller, 2016</xref>). Referring to <xref ref-type="bibr" rid="ref120">Sweller&#x2019;s (1988)</xref> theory of cognitive load, <xref ref-type="bibr" rid="ref60">Kirschner et al. (2006)</xref> argue that structured and guided teaching is particularly important in primary school science education. Their study shows that this type of IQIS can reduce high cognitive load and boost student performance. Furthermore, findings from instructional quality research report positive learning effects related to demonstrating IQIS, especially for learners with unfavorable learning conditions (<xref ref-type="bibr" rid="ref27">Decristan et al., 2016</xref>; <xref ref-type="bibr" rid="ref35">Ewerhardy et al., 2012</xref>; <xref ref-type="bibr" rid="ref36">Fauth et al., 2019</xref>).</p>
</sec>
<sec id="sec9">
<label>2.4.2</label>
<title>Connecting IQIS</title>
<p>Connecting IQIS to the learners` realities is considered a central principle in primary school didactics and methodology (<xref ref-type="bibr" rid="ref90">Nie&#x00DF;eler, 2015</xref>; <xref ref-type="bibr" rid="ref108">Schultheis, 2015</xref>). This principle is particularly salient in science education with regard to the selecting and prioritizing both content and learning goals. Strategies for applying this principle are characterized by how teachers view encountering the world and shared social experiences as constitutive elements, thereby enabling authentic learning about the world (<xref ref-type="bibr" rid="ref58">Kahlert et al., 2015</xref>). Science Teachers would also activate prior knowledge, link it to new content, and include field work as well as materials. Diversity of perspectives and student participation are guiding principles for these strategies. Based on <xref ref-type="bibr" rid="ref22">Carroll&#x2019;s (1989)</xref> conceptual model of lifeworld connecting instruction, studies show positive relationships with student performance, motivation, and engagement when authentic learning opportunities on topics relevant to the learners&#x2019; life worlds are offered (<xref ref-type="bibr" rid="ref126">Trevi&#x00F1;o and Carrasco, 2025</xref>).</p>
</sec>
<sec id="sec10">
<label>2.4.3</label>
<title>Involving IQIS</title>
<p>In primary school, IQIS focusing on learner involvement are characterized by constructivist teaching and learning beliefs and by promoting scientific reasoning. Accordingly, the learners` engagement with knowledge acquisition is emphasized (<xref ref-type="bibr" rid="ref74">Marquardt-Mau, 2011</xref>), and their metacognitive, socially cooperative and conceptual learning processes are facilitated, resulting in an authentic learning experience. Important phases in the learners` active involvement include designing, planning, conducting, and guiding experiments, as well as interpreting and presenting data, which the learners actively experience being part of a research team (<xref ref-type="bibr" rid="ref87">National Research Council, 2000</xref>, <xref ref-type="bibr" rid="ref88">2012</xref>; <xref ref-type="bibr" rid="ref96">Pedaste et al., 2015</xref>; <xref ref-type="bibr" rid="ref101">R&#x00F6;nnebeck et al., 2016</xref>). A positive association with achievement and motivation, for instance, has been generally shown by <xref ref-type="bibr" rid="ref40">Furtak et al. (2012)</xref>, <xref ref-type="bibr" rid="ref79">Minner et al. (2010)</xref>, and <xref ref-type="bibr" rid="ref107">Schroeder et al. (2007)</xref>. It is suggested by <xref ref-type="bibr" rid="ref122">Teig et al. (2018)</xref> that this is only the case when experiments are used with moderate frequency. According to <xref ref-type="bibr" rid="ref2">Aditomo and Klieme (2020)</xref>, however, these effects appear to be dependent on the context.</p>
</sec>
<sec id="sec11">
<label>2.4.4</label>
<title>Cognitively activating IQIS</title>
<p>Instructional strategies that activate cognitive processes are based on constructivist and transmissive teaching approaches and strive at stimulating deeper understanding in order to promote higher-order thinking (<xref ref-type="bibr" rid="ref9">Baumert et al., 2010</xref>; <xref ref-type="bibr" rid="ref114">Sliwka et al., 2022</xref>). The focus is on engaging learners with challenging tasks, which encourage learners to go beyond what they have learned, find their own solutions to problems, and adopt a meta-level perspective. Individual solutions would then be discussed in the learners` own words in research teams. The science teacher guides such processes by alternating between metacognitive, social, and conceptual approaches (<xref ref-type="bibr" rid="ref20">Brophy, 2000</xref>; <xref ref-type="bibr" rid="ref64">Klieme et al., 2006</xref>; <xref ref-type="bibr" rid="ref78">Mayer, 2004</xref>). Research findings suggest strong associations between cognitively activating IQIS and achievement as well as motivation (<xref ref-type="bibr" rid="ref9">Baumert et al., 2010</xref>; <xref ref-type="bibr" rid="ref65">Klieme et al., 2009</xref>; <xref ref-type="bibr" rid="ref72">Lipowsky et al., 2009</xref>; <xref ref-type="bibr" rid="ref109">Seidel and Shavelson, 2007</xref>).</p>
</sec>
</sec>
<sec id="sec12">
<label>2.5</label>
<title>Adaptability as a characteristic of professional lesson planning</title>
<p>For primary school teachers, adaptive instruction, tailored to individual learners` needs, is an indispensable professional competence (<xref ref-type="bibr" rid="ref21">Br&#x00FC;hwiler and Vogt, 2020</xref>; <xref ref-type="bibr" rid="ref23">Corno, 2008</xref>). Adaptive instruction, both on the micro and macro level, requires structured planning and implementation, and it presupposes a professional diagnostic view of the learning group (<xref ref-type="bibr" rid="ref10">Beck, 2008</xref>; <xref ref-type="bibr" rid="ref11">Beck et al., 2008</xref>; <xref ref-type="bibr" rid="ref23">Corno, 2008</xref>). Science classes at primary school level provide an ideal object of study for this. As a non-standardized subject in many primary school education contexts, science classes often favor adaptivity teaching (<xref ref-type="bibr" rid="ref46">Hardy et al., 2011</xref>). The subject-specific nature of the primary school science classes allow teachers to exercise a high degree of freedom in selecting content, methods, and approaches, enabling them to set multi-perspective and interdisciplinary educational priorities (<xref ref-type="bibr" rid="ref11">Beck et al., 2008</xref>; <xref ref-type="bibr" rid="ref33">Einsiedler, 2015</xref>; <xref ref-type="bibr" rid="ref41">Giest et al., 2017</xref>; <xref ref-type="bibr" rid="ref45">Hardy et al., 2019</xref>; <xref ref-type="bibr" rid="ref66">Klieme and Warwas, 2011</xref>; <xref ref-type="bibr" rid="ref67">Kn&#x00F6;rzer et al., 2019</xref>). In addition, the Austrian context is characterized by the class teacher principle, according to which the teacher often provides instruction in all subjects in a class. However, there are only a few studies for this specific context that examine how science classes in primary schools are taught adaptively.</p>
</sec>
<sec id="sec13">
<label>2.6</label>
<title>Perception in educational contexts</title>
<sec id="sec14">
<label>2.6.1</label>
<title>Perception of class characteristics</title>
<p>Teachers are faced with the daily challenge of adapting their instruction to the learning needs of their learning groups in order to make both anticipatory and situation-specific decisions (<xref ref-type="bibr" rid="ref18">Borko et al., 2008</xref>; <xref ref-type="bibr" rid="ref34">Escudero and S&#x00E1;nchez, 2007</xref>; <xref ref-type="bibr" rid="ref55">Jacobs et al., 2011</xref>; <xref ref-type="bibr" rid="ref54">Jacobs and Empson, 2016</xref>; <xref ref-type="bibr" rid="ref110">Shavelson, 1983</xref>). The development of perceptual skills is essential in this regard (<xref ref-type="bibr" rid="ref103">Santagata and Yeh, 2016</xref>). Perception is generally considered subjective, distortable, and influenceable, and it needs to be professionalized, especially in the educational context (<xref ref-type="bibr" rid="ref113">Sherin et al., 2008</xref>; <xref ref-type="bibr" rid="ref111">Sherin, 2007</xref>). On the one hand, perception is inevitably shaped by interindividual personality traits of the teacher themselves (<xref ref-type="bibr" rid="ref14">Bl&#x00F6;meke et al., 2022</xref>), and on the other hand, it may be determined by experience, professionalization measures, and external factors (<xref ref-type="bibr" rid="ref8">Auwarter and Aruguete, 2008</xref>; <xref ref-type="bibr" rid="ref47">Harfitt, 2012</xref>; <xref ref-type="bibr" rid="ref100">Robinson-Cimpian et al., 2014</xref>). Studies on teachers&#x2019; perceptions seem to use the term &#x00B4;perception&#x00B4; inconsistently, with perception and expectations used synonymously or diametrically, for instance (<xref ref-type="bibr" rid="ref19">Brandmiller et al., 2020</xref>). <xref ref-type="bibr" rid="ref115">Stahnke et al. (2016)</xref> provide a useful systematic overview of perception studies, drawing in particular on the PID model by <xref ref-type="bibr" rid="ref13">Bl&#x00F6;meke et al. (2015)</xref>, some research conceptualizes perception as &#x201C;teacher noticing&#x201D; (<xref ref-type="bibr" rid="ref55">Jacobs et al., 2011</xref>; <xref ref-type="bibr" rid="ref112">Sherin et al., 2011</xref>), &#x201C;responsive teaching&#x201D; (<xref ref-type="bibr" rid="ref32">Dyer and Sherin, 2016</xref>; <xref ref-type="bibr" rid="ref54">Jacobs and Empson, 2016</xref>; <xref ref-type="bibr" rid="ref132">Zimmerman, 2015</xref>) or &#x201C;professional vision in action&#x201D; (<xref ref-type="bibr" rid="ref113">Sherin et al., 2008</xref>).</p>
<p>In our study, we go one step further and treat general perception as the teacher&#x2019;s current assessment and evaluation of specifically perceived learning group characteristics against the background of adaptive instruction that takes into account the interindividual learning needs of the entire learning group. In our study, we draw on characteristics of learners that are generally considered problematic by teachers, such as lack of prerequisite knowledge, classroom disruptions, lack of motivation, and limited language proficiency.</p>
</sec>
<sec id="sec15">
<label>2.6.2</label>
<title>Perception as an empirical focus</title>
<p>The practice of using student ratings as a basis for measuring instructional quality is now well established (<xref ref-type="bibr" rid="ref38">Fauth et al., 2014b</xref>; <xref ref-type="bibr" rid="ref39">Finefter-Rosenbluh et al., 2021</xref>; <xref ref-type="bibr" rid="ref73">L&#x00FC;dtke et al., 2009</xref>; <xref ref-type="bibr" rid="ref93">Oppermann and Lazarides, 2021</xref>). However, only a few studies focus on teachers&#x2019; general perceptions of their learning group (<xref ref-type="bibr" rid="ref19">Brandmiller et al., 2020</xref>; <xref ref-type="bibr" rid="ref98">Ready and Chu, 2015</xref>; <xref ref-type="bibr" rid="ref99">Ready and Wright, 2011</xref>; <xref ref-type="bibr" rid="ref100">Robinson-Cimpian et al., 2014</xref>). Others suggest that teachers make situation-specific decisions in response to students&#x2019; content-specific reasoning and thus continuously adapt instruction to students&#x2019; needs (<xref ref-type="bibr" rid="ref55">Jacobs et al., 2011</xref>; <xref ref-type="bibr" rid="ref53">Jacobs and Ambrose, 2008</xref>; <xref ref-type="bibr" rid="ref113">Sherin et al., 2008</xref>; <xref ref-type="bibr" rid="ref132">Zimmerman, 2015</xref>). A quantitative study by <xref ref-type="bibr" rid="ref19">Brandmiller et al. (2020)</xref> showed, however, that teachers are not unbiased toward students and that their perceptions of particular student characteristics, such as cognitive abilities, learning motivation, and behavior, vary depending on socioeconomic background, migration status, and gender. In a similar vein, other studies report teachers displaying a somewhat distorted perception of their learners, depending on social status, assessed abilities, and gender (<xref ref-type="bibr" rid="ref8">Auwarter and Aruguete, 2008</xref>; <xref ref-type="bibr" rid="ref43">Hamre and Pianta, 2005</xref>; <xref ref-type="bibr" rid="ref99">Ready and Wright, 2011</xref>; <xref ref-type="bibr" rid="ref100">Robinson-Cimpian et al., 2014</xref>; <xref ref-type="bibr" rid="ref124">Timmermans et al., 2015</xref>) and class size (<xref ref-type="bibr" rid="ref47">Harfitt, 2012</xref>). All in all, we could not find studies that relate instructional quality to characteristics of lesson design from the teachers&#x2019; perspective. Based on the lack of research and the findings of these studies, it can be assumed that teachers design their instruction according to their perceptions of their learners&#x2019; characteristics and use strategies that they consider useful for addressing perceived problems.</p>
</sec>
</sec>
<sec id="sec16">
<label>2.7</label>
<title>Challenges for science teachers in primary school</title>
<p>Although inquiry-based learning is considered a hallmark of high-quality science instruction, it is regarded as a challenging teaching principle, particularly in primary schools (<xref ref-type="bibr" rid="ref1">Abd-El-Khalick et al., 2004</xref>; <xref ref-type="bibr" rid="ref24">Crawford, 2000</xref>; <xref ref-type="bibr" rid="ref68">Lee and Songer, 2003</xref>). Some studies show that teachers can find the preparation and implementation of inquiry-based learning challenging, overwhelming, and demanding (<xref ref-type="bibr" rid="ref5">Appleton, 2007</xref>).</p>
<p>Empirical evidence shows that primary school teachers not only use constructive strategies but likewise resort to evasive or avoidance strategies (<xref ref-type="bibr" rid="ref7">Appleton and Kindt, 2002</xref>; <xref ref-type="bibr" rid="ref48">Harlen, 1997</xref>; <xref ref-type="bibr" rid="ref4">Appleton, 2003</xref>). Potential reasons proposed for such a behavior are insufficient professional knowledge (<xref ref-type="bibr" rid="ref7">Appleton and Kindt, 2002</xref>; <xref ref-type="bibr" rid="ref31">Dunker, 2016</xref>; <xref ref-type="bibr" rid="ref83">Mulholland and Wallace, 2000</xref>; <xref ref-type="bibr" rid="ref125">Tosun, 2000</xref>), overly complex preparation and implementation of materials (<xref ref-type="bibr" rid="ref28">Deters, 2004</xref>; <xref ref-type="bibr" rid="ref51">Hogan and Berkowitz, 2000</xref>; <xref ref-type="bibr" rid="ref59">Keys and Kennedy, 1999</xref>; <xref ref-type="bibr" rid="ref129">Wallace and Kang, 2004</xref>), insufficient estimation of student abilities (<xref ref-type="bibr" rid="ref24">Crawford, 2000</xref>; <xref ref-type="bibr" rid="ref56">Jahnke-Klein and Busse, 2019</xref>; <xref ref-type="bibr" rid="ref131">Windschitl, 2004</xref>), or explicit and implicit theories about the value of science (<xref ref-type="bibr" rid="ref6">Appleton and Kindt, 1997</xref>; <xref ref-type="bibr" rid="ref48">Harlen, 1997</xref>; <xref ref-type="bibr" rid="ref69">Levitt, 2001</xref>) or the evaluation of the specific didactic teaching settings (<xref ref-type="bibr" rid="ref24">Crawford, 2000</xref>; <xref ref-type="bibr" rid="ref28">Deters, 2004</xref>; <xref ref-type="bibr" rid="ref59">Keys and Kennedy, 1999</xref>).</p>
<p>Due to the high degree of freedom in science education in Austria, we assume that both constructive and avoidance strategies can be well observed empirically in this particular type of instructional setting.</p>
</sec>
<sec id="sec17">
<label>2.8</label>
<title>Teacher characteristics as indicators of instructional quality</title>
<p>Empirical studies show that factors such as formal educational level, teaching experience, and willingness to participate in continuing further training may influence the quality of lesson design (<xref ref-type="bibr" rid="ref16">Bl&#x00F6;meke et al., 2016</xref>; <xref ref-type="bibr" rid="ref15">Bl&#x00F6;meke and Olsen, 2019</xref>; <xref ref-type="bibr" rid="ref26">Darling-Hammond et al., 2017</xref>; <xref ref-type="bibr" rid="ref91">Nilsen and Gustafsson, 2016</xref>). With regard to Austrian science teachers, <xref ref-type="bibr" rid="ref80">Mistlberger (2023)</xref> was able to show that science teachers with more teaching experience use demonstrating IQIS significantly more often and that teachers willing to participate in continuing further trainings design involving and demonstrating lessons significantly more often. According to the study by <xref ref-type="bibr" rid="ref57">Joffres and Haughey (2001)</xref>, a decline in primary school teachers&#x00B4; commitment can be explained by low self-efficacy or a lack of community spirit within the teaching team. Negative teaching experiences also influenced commitment depending on their perceived level of failure in the classroom.</p>
<p>Building on these empirical findings, we broaden the concept of inquiry-based learning in primary schools from a one-dimensional view on epistemological cyclical sequences to multi-perspective interaction processes. We integrate aspects of adaptive teaching concepts in conjunction with teacher perceptions, the challenges of inquiry-based instruction, and teacher characteristics, and examine their associations with a view to qualitative science teaching in primary school.</p>
</sec>
</sec>
<sec id="sec18">
<label>3</label>
<title>Research questions and hypotheses</title>
<p>The following research questions derived from this broadened theoretical framework, guide our empirical study:</p>
<disp-quote>
<p><italic>RQ1:</italic> Which IQIS are used by science teachers in Austria and how often are they applied?</p>
</disp-quote>
<disp-quote>
<p><italic>RQ2:</italic> (a) Is there a relationship between the frequency of inquiry-based instructional strategies and the perception of challenging characteristics of class composition, class performance, and motivation, and (b) is this related to teacher characteristics?</p>
</disp-quote>
<p>Based on teacher studies on avoidance behavior by <xref ref-type="bibr" rid="ref4">Appleton (2003)</xref> and <xref ref-type="bibr" rid="ref48">Harlen (1997)</xref> we expect that primary school teachers generally make little use of inquiry-based instructional strategies and that involving strategies are used the least (H1). Based on the results of perception studies by <xref ref-type="bibr" rid="ref19">Brandmiller et al. (2020)</xref>, <xref ref-type="bibr" rid="ref44">Hamre and Pianta (2007)</xref>, and <xref ref-type="bibr" rid="ref112">Sherin et al. (2011)</xref>, we hypothesize that the principle of adaptivity will be evident in the classes tested and that teachers will adapt their instruction to the characteristics of their classes (H2). We also expect that involving IQIS will be used more frequently in classes with high average achievement and high motivation, as this is a particularly cognitively demanding learning setting and teachers use it more frequently and in a more targeted manner in classes with better learning conditions (H3). Based on the findings of the study by <xref ref-type="bibr" rid="ref56">Jahnke-Klein and Busse (2019)</xref>, we further assume that perceived language proficiency deficits among students have a negative influence on the use of actively involving research strategies (H4). As <xref ref-type="bibr" rid="ref16">Bl&#x00F6;meke et al. (2016)</xref>, <xref ref-type="bibr" rid="ref26">Darling-Hammond et al. (2017)</xref>, and <xref ref-type="bibr" rid="ref91">Nilsen and Gustafsson (2016)</xref> found, we hypothesize that teachers who are willing to participate in continuing further training and have completed specific training in inquiry-based teaching use all four IQIS significantly more often, regardless of perceived problematic class characteristics, especially those that are involving (H5). Based on the study by <xref ref-type="bibr" rid="ref80">Mistlberger (2023)</xref>, we assume that experienced teachers who have been in the profession for longer tend to use demonstrating (teacher-centered) strategies (H6).</p>
</sec>
<sec sec-type="methods" id="sec19">
<label>4</label>
<title>Methods</title>
<sec id="sec20">
<label>4.1</label>
<title>Data and sample</title>
<p>We analyzed data from the Austrian 4<sup>th</sup> grade teacher and student sample of the TIMS study in 2019. The Trends in International Mathematics and Science Study is an international large-scale assessment that measures and compares the mathematics and science achievement of fourth and eighth graders in a four-year&#x202F;cycle (<xref ref-type="bibr" rid="ref84">Mullis and Martin, 2017</xref>; <xref ref-type="bibr" rid="ref75">Martin et al., 2020</xref>). The sample we used comprises <italic>n</italic><sub>s</sub>&#x202F;=&#x202F;4,966 fourth graders (M<sub>age</sub>&#x202F;=&#x202F;10.4&#x202F;years) in 302 classes from 192 schools. To enable an analysis of nationally representative data at the student level, a two-stage sampling procedure was used. In the first step, all target schools were stratified according to the most important demographic variables and then randomly selected, with larger schools having a higher probability of selection. In the second step, at least one of the target classes in each selected school was randomly selected, with each class (within the same school) having the same probability of selection (see <xref ref-type="bibr" rid="ref75">Martin et al., 2020</xref>/TIMSS 2019 Technical Report). The teacher who had provided science instruction for at least 1 year prior to the assessment was then asked to complete a questionnaire (<xref ref-type="bibr" rid="ref52">Itzlinger-Bruneforth et al., 2020</xref>). All students and science teachers were intended to participate once their class had been selected. The selection of the sample was closely monitored to ensure high quality standards (<xref ref-type="bibr" rid="ref75">Martin et al., 2020</xref>).</p>
<p>The teacher sample includes data from <italic>n</italic><sub>t</sub>&#x202F;=&#x202F;339 science teachers in 302 classes. For the analysis, all data were weighted at the class level (SCIWGT). In the case of team teachers, both science teachers completed the questionnaire and their responses were averaged. However, the number of team teachers is so small (<italic>n</italic>&#x202F;=&#x202F;37) that it has only a minor impact on the results presented. Since the teacher sample interrelates with the student sample, it is not representative of the population of science teachers in Austria. However, for the present study, it may be argued that representativeness is given because the student sample is representative and we can hardly imagine a plausible inducement why the teachers of these representative students should differ from teachers overall. Missing values were replaced by multiple imputation, resulting in five imputed data sets. For each analysis, the complete data sets were analyzed separately, and the results of the analysis were combined according to <xref ref-type="bibr" rid="ref102">Rubin&#x2019;s (1987)</xref> formulas.</p>
</sec>
<sec id="sec21">
<label>4.2</label>
<title>Material</title>
<sec id="sec22">
<label>4.2.1</label>
<title>Scaling IQIS</title>
<p>Four scales for measuring inquiry-based instructional strategies (IQIS) are used as dependent variables in our analysis: (1) demonstrating, (2) connecting, (3) involving, and (4) cognitively activating. Conceptually, we build on the classic &#x201C;inquiry cycle&#x201D; of <xref ref-type="bibr" rid="ref96">Pedaste et al. (2015)</xref>, and the meta-analyses of <xref ref-type="bibr" rid="ref101">R&#x00F6;nnebeck et al. (2016)</xref>, and expand the scope of other empirical studies that use TIMSS (<xref ref-type="bibr" rid="ref16">Bl&#x00F6;meke et al., 2016</xref>; <xref ref-type="bibr" rid="ref42">Gustafsson and Nilsen, 2016</xref>; <xref ref-type="bibr" rid="ref105">Scherer and Nilsen, 2016</xref>). Only those strategies that follow the classical epistemological inquiry process (<xref ref-type="bibr" rid="ref123">Teig et al., 2019</xref>) were traditionally considered representative of scientific inquiry. Our &#x201C;involving&#x201D; scale represents this dimension. For our broadened approach, we apply 21 items from the <italic>Sciences Teaching to the TIMSS Class</italic> and <italic>Teachers&#x2019; Emphasis on Science Investigation</italic> scales from the TIMSS questionnaire for science teachers (<xref ref-type="bibr" rid="ref85">Mullis et al., 2020</xref>/TIMSS 2019 Context Q-Scales; Chap. 16), in which teachers could indicate the use of inquiry-based learning opportunities in various social forms according to their estimated frequency of use (never&#x202F;=&#x202F;0, occasionally&#x202F;=&#x202F;1, in half of the lessons&#x202F;=&#x202F;2, in every or almost every lesson&#x202F;=&#x202F;3).</p>
<p>As with other scales in TIMSS (e.g., <xref ref-type="bibr" rid="ref86">Mullis et al., 2016</xref>), we constructed the scales using IRT scaling methods with the aim of measuring a single underlying latent construct. To this end, we applied the partial credit model (<xref ref-type="bibr" rid="ref76">Masters, 1982</xref>, <xref ref-type="bibr" rid="ref77">1988</xref>) using the PROC-IRT procedure from SAS/STAT&#x00AE;Version 14.1 of the SAS system for Windows (<xref ref-type="bibr" rid="ref104">SAS Institute Inc., 2015</xref>). The fit values, as shown in <xref ref-type="table" rid="tab1">Table 1</xref>, can be considered acceptable.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Model fit statistics for IQIS-scales.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th>Criteria for model selection</th>
<th align="center" valign="top">Demonstrating</th>
<th align="center" valign="top">Connecting</th>
<th align="center" valign="top">Involving</th>
<th align="center" valign="top">Cognitively activating</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">AIC</td>
<td align="center" valign="middle">70089.2</td>
<td align="center" valign="middle">68419.3</td>
<td align="center" valign="middle">35683.1</td>
<td align="center" valign="middle">54587.2</td>
</tr>
<tr>
<td align="left" valign="middle">BIC</td>
<td align="center" valign="middle">70156.0</td>
<td align="center" valign="middle">68474.9</td>
<td align="center" valign="middle">35727.6</td>
<td align="center" valign="middle">4635.5</td>
</tr>
<tr>
<td align="left" valign="middle">Log likelihood</td>
<td align="center" valign="middle">&#x2212;35026.6</td>
<td align="center" valign="middle">&#x2212;34194.6</td>
<td align="center" valign="middle">&#x2212;17834.0</td>
<td align="center" valign="middle">&#x2212;27280.6</td>
</tr>
</tbody>
</table>
</table-wrap>
<p><xref ref-type="table" rid="tab2">Table 2</xref> shows the step parameters for all polytomous items. Most items in all four scales are evenly distributed in terms of their degree of difficulty. Overall, the dispersion of the items is good compared to the distribution of the person parameters, although a slightly denser indicatorization in the middle range and a better differentiation between the different categories of the respective scale would be desirable. For this scale, the threshold parameters for the categories &#x201C;E&#x201D; and &#x201C;H&#x201D; for the items &#x201C;presenting data&#x201D; and &#x201C;conducting experiments&#x201D; do not appear to be clear. This raises concerns about the validity of the assumption of stochastic independence, as this would also conceptually indicate a deviation from the research community itself.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Step parameters for items according to the IQIS-scales.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="center" valign="top" colspan="4">Demonstrating</th>
<th align="center" valign="top" colspan="4">Connecting</th>
</tr>
<tr>
<th align="left" valign="bottom">Item</th>
<th align="center" valign="middle">Resp. Cat.</th>
<th align="center" valign="middle">
<italic>b</italic>
</th>
<th align="center" valign="middle">(SE)</th>
<th align="left" valign="bottom">Item</th>
<th align="center" valign="middle">Resp. Cat.</th>
<th align="center" valign="middle">
<italic>b</italic>
</th>
<th align="center" valign="middle">(SE)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="bottom">Have students memorize facts</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">2.89</td>
<td align="center" valign="middle">(0.69)</td>
<td align="left" valign="bottom">Do field work outside class</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">3.43</td>
<td align="center" valign="middle">(0.58)</td>
</tr>
<tr>
<td align="left" valign="bottom">Students watch me demonstrate an experiment</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">2.06</td>
<td align="center" valign="middle">(0.09)</td>
<td align="left" valign="bottom">Work in same ability group</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">2.80</td>
<td align="center" valign="middle">(0.43)</td>
</tr>
<tr>
<td align="left" valign="bottom">Students watch me demonstrate an experiment</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">1.90</td>
<td align="center" valign="middle">(0.04)</td>
<td align="left" valign="bottom">Bring interesting materials into the class</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">2.00</td>
<td align="center" valign="middle">(0.08)</td>
</tr>
<tr>
<td align="left" valign="bottom">Use evidence to support conclusions</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">1.88</td>
<td align="center" valign="middle">(0.23)</td>
<td align="left" valign="bottom">Do field work outside class</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">1.93</td>
<td align="center" valign="middle">(0.09)</td>
</tr>
<tr>
<td align="left" valign="bottom">Have students memorize facts</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">1.84</td>
<td align="center" valign="middle">(0.10)</td>
<td align="left" valign="bottom">Work in mixed ability groups</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">1.59</td>
<td align="center" valign="middle">(0.15)</td>
</tr>
<tr>
<td align="left" valign="bottom">Read textbooks/resource materials</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">1.61</td>
<td align="center" valign="middle">(0.10)</td>
<td align="left" valign="bottom">Work in mixed ability groups</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">1.58</td>
<td align="center" valign="middle">(0.06)</td>
</tr>
<tr>
<td align="left" valign="bottom">Use evidence to support conclusions</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">1.45</td>
<td align="center" valign="middle">(0.07)</td>
<td align="left" valign="bottom">Work in same ability groups</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">1.39</td>
<td align="center" valign="middle">(0.07)</td>
</tr>
<tr>
<td align="left" valign="bottom">Observe phenomena and describe</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">1.19</td>
<td align="center" valign="middle">(0.05)</td>
<td align="left" valign="bottom">Relate lessons to daily lives</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">0.20</td>
<td align="center" valign="middle">(0.04)</td>
</tr>
<tr>
<td align="left" valign="top">Observe phenomena and describe</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">0.43</td>
<td align="center" valign="middle">(0.04)</td>
<td align="left" valign="bottom">Bring interesting materials into the class</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;0.29</td>
<td align="center" valign="middle">(0.05)</td>
</tr>
<tr>
<td align="left" valign="top">Read textbooks/resource materials</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">&#x2212;0.08</td>
<td align="center" valign="middle">(0.05)</td>
<td align="left" valign="bottom">Link new content to students level</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">&#x2212;0.71</td>
<td align="center" valign="middle">(0.04)</td>
</tr>
<tr>
<td align="left" valign="bottom">Have students memorize facts</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;0.19</td>
<td align="center" valign="middle">(0.04)</td>
<td align="left" valign="bottom">Work in mixed ability groups</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;0.74</td>
<td align="center" valign="middle">(0.07)</td>
</tr>
<tr>
<td align="left" valign="bottom">Listen to me explain new content</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">&#x2212;0.27</td>
<td align="center" valign="middle">(0.04)</td>
<td align="left" valign="bottom">Work in same ability group</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;0.79</td>
<td align="center" valign="middle">(0.06)</td>
</tr>
<tr>
<td align="left" valign="bottom">Listen to me explain new content</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">&#x2212;0.40</td>
<td align="center" valign="middle">(0.04)</td>
<td align="left" valign="bottom">Relate lessons to daily lives</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;1.54</td>
<td align="center" valign="middle">(0.05)</td>
</tr>
<tr>
<td align="left" valign="top">Use evidence to support conclusions</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;2.21</td>
<td align="center" valign="middle">(0.05)</td>
<td align="left" valign="bottom">Link new content to students level</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;1.88</td>
<td align="center" valign="middle">(0.09)</td>
</tr>
<tr>
<td align="left" valign="bottom">Students watch me demonstrate an experiment</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;2.88</td>
<td align="center" valign="middle">(0.06)</td>
<td align="left" valign="bottom">Do field work outside class</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;2.13</td>
<td align="center" valign="middle">(0.05)</td>
</tr>
<tr>
<td align="left" valign="bottom">Read textbooks/resource materials</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;3.32</td>
<td align="center" valign="middle">(0.11)</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">Listen to me explain new content</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;3.74</td>
<td align="center" valign="middle">(0.20)</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">Observe phenomena and describe</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;4.72</td>
<td align="center" valign="middle">(0.23)</td>
<td/>
<td/>
<td/>
<td/>
</tr>
</tbody>
</table>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="center" valign="top" colspan="4">Involving</th>
<th align="center" valign="top" colspan="4">Co-activating</th>
</tr>
<tr>
<th align="left" valign="top">Item</th>
<th align="center" valign="top">Resp. Cat.</th>
<th align="center" valign="top">
<italic>b</italic>
</th>
<th align="center" valign="top">(SE)</th>
<th align="center" valign="top">Item</th>
<th align="center" valign="top">Resp. Cat.</th>
<th align="center" valign="top">
<italic>b</italic>
</th>
<th align="center" valign="top">(SE)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Plan and design an experiment</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">2.84</td>
<td align="center" valign="middle">(0.04)</td>
<td align="left" valign="bottom">Complete challenging excercises and go beyond it</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">2.21</td>
<td align="center" valign="middle">(0.06)</td>
</tr>
<tr>
<td align="left" valign="bottom">Interpret data from experiments</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">2.71</td>
<td align="center" valign="middle">(0.05)</td>
<td align="left" valign="bottom">Encourage class discussions</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">1.67</td>
<td align="center" valign="middle">(0.05)</td>
</tr>
<tr>
<td align="left" valign="bottom">Present data from experiments</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">2.36</td>
<td align="center" valign="middle">(0.13)</td>
<td align="left" valign="bottom">Decide own problem solving procedures</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">0.95</td>
<td align="center" valign="middle">(0.05)</td>
</tr>
<tr>
<td align="left" valign="top">Present data from experiments</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">2.35</td>
<td align="center" valign="middle">(0.06)</td>
<td align="left" valign="bottom">Complete challenging excercises and go beyond it</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">0.60</td>
<td align="center" valign="middle">(0.05)</td>
</tr>
<tr>
<td align="left" valign="bottom">Interpret data from experiments</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">2.12</td>
<td align="center" valign="middle">(0.04)</td>
<td align="left" valign="bottom">Encourage class discussions</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">0.38</td>
<td align="center" valign="middle">(0.04)</td>
</tr>
<tr>
<td align="left" valign="bottom">Conduct an investigation</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">2.08</td>
<td align="center" valign="middle">(0.07)</td>
<td align="left" valign="bottom">Ask students to explain their answers</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">0.21</td>
<td align="center" valign="middle">(0.04)</td>
</tr>
<tr>
<td align="left" valign="bottom">Conduct an investigation</td>
<td align="center" valign="middle">E</td>
<td align="center" valign="middle">2.06</td>
<td align="center" valign="middle">(0.04)</td>
<td align="left" valign="bottom">Encourage students to express own ideas</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">&#x2212;0.09</td>
<td align="center" valign="middle">(0.04)</td>
</tr>
<tr>
<td align="left" valign="bottom">Plan and design an experiment</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">2.05</td>
<td align="center" valign="middle">(0.05)</td>
<td align="left" valign="bottom">Decide own problem solving procedures</td>
<td align="center" valign="middle">H</td>
<td align="center" valign="middle">&#x2212;0.95</td>
<td align="center" valign="middle">(0.04)</td>
</tr>
<tr>
<td align="left" valign="bottom">Plan and design an experiment</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;1.08</td>
<td align="center" valign="middle">(0.08)</td>
<td align="left" valign="bottom">Encourage students to express own ideas</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;1.54</td>
<td align="center" valign="middle">(0.08)</td>
</tr>
<tr>
<td align="left" valign="bottom">Interpret data from experiments</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;2.21</td>
<td align="center" valign="middle">(0.04)</td>
<td align="left" valign="bottom">Ask students to explain their answers</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;1.65</td>
<td align="center" valign="middle">(0.06)</td>
</tr>
<tr>
<td align="left" valign="bottom">Present data from experiments</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;2.26</td>
<td align="center" valign="middle">(0.05)</td>
<td align="left" valign="bottom">Encourage class discussions</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;3.93</td>
<td align="center" valign="middle">(0.22)</td>
</tr>
<tr>
<td align="left" valign="bottom">Conduct an investigation</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;3.08</td>
<td align="center" valign="middle">(0.09)</td>
<td align="left" valign="bottom">Decide own problem solving procedures</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;4.47</td>
<td align="center" valign="middle">(0.52)</td>
</tr>
<tr>
<td/>
<td/>
<td/>
<td/>
<td align="left" valign="bottom">Complete challenging excercises and go beyond it</td>
<td align="center" valign="middle">O</td>
<td align="center" valign="middle">&#x2212;5.54</td>
<td align="center" valign="middle">(0.59)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Response Category: E=every or almost every lesson, H=half of the lessons, O=occasionally.</p>
</table-wrap-foot>
</table-wrap>
<p>The internal consistency for the present sample was Cronbach&#x2019;s <italic>&#x03B1;</italic>&#x202F;=&#x202F;0.69 for <italic>demonstrating</italic>, &#x03B1;&#x202F;=&#x202F;0.64 for <italic>connecting</italic>, &#x03B1;&#x202F;=&#x202F;0.91 for <italic>involving</italic>, and &#x03B1;&#x202F;=&#x202F;0.79 for <italic>cognitively activating</italic>, which is in the acceptable range and thus within the range of the reference studies (<xref ref-type="bibr" rid="ref128">Wagner et al., 2016</xref>). <xref ref-type="table" rid="tab3">Table 3</xref> shows descriptive associations and intercorrelations for the IQIS scales.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Frequency descriptive statistics and intercorrelations for the IQIS-scales.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th>IQIS</th>
<th align="center" valign="top"><italic>M</italic></th>
<th align="center" valign="top">(SE)</th>
<th align="center" valign="top">Demonstrating</th>
<th align="center" valign="top">Connecting</th>
<th align="center" valign="top">Involving</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Demonstrating</td>
<td align="center" valign="middle">1.43</td>
<td align="center" valign="middle">(0.03)</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="middle">Connecting</td>
<td align="center" valign="middle">1.56</td>
<td align="center" valign="middle">(0.03)</td>
<td align="center" valign="middle">0.46</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="middle">Involving</td>
<td align="center" valign="middle">0.98</td>
<td align="center" valign="middle">(0.04)</td>
<td align="center" valign="middle">0.48</td>
<td align="center" valign="middle">0.45</td>
<td align="center" valign="middle">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="middle">Cognitively activating</td>
<td align="center" valign="middle">1.93</td>
<td align="center" valign="middle">(0.04)</td>
<td align="center" valign="middle">0.28</td>
<td align="center" valign="middle">0.57</td>
<td align="center" valign="middle">0.37</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec23">
<label>4.2.2</label>
<title>Measurement of the perception of class characteristics</title>
<p>To measure teachers&#x2019; perceptions, we apply four items from the scale &#x201C;Classroom instruction restricted by students not ready to learn&#x201D;: <italic>lack of prerequisite knowledge</italic>, <italic>classroom disruptions</italic>, and perceived <italic>lack of motivation</italic> for which studies from other contexts (e.g., <xref ref-type="bibr" rid="ref12">Bellens et al., 2019</xref>; <xref ref-type="bibr" rid="ref27">Decristan et al., 2016</xref>) support the assumption that they are related to teaching adaptations. Given the high proportion of second language learners in the Austrian context (19%) (see <xref ref-type="bibr" rid="ref17">BMBWF, 2024</xref>), we have also included <italic>limited language proficiency</italic>. We assigned dummy codes to the three different response categories to distinguish between teachers who stated that &#x201C;some&#x201D; or &#x2018;all&#x2019; students had challenges and those who stated that &#x201C;this was not a problem at all.&#x201D; <xref ref-type="table" rid="tab4">Table 4</xref> shows the descriptions for the four variables.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Descriptive statistics and intercorrelations for the items &#x201C;teachers&#x2019; perceptions of class composition&#x201D;.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th>Class characteristics perceived as problematic</th>
<th align="center" valign="top" colspan="2">Not at all</th>
<th align="center" valign="top" colspan="2">Some</th>
<th align="center" valign="top" colspan="2">A lot</th>
</tr>
<tr>
<th/>
<th align="center" valign="top">%</th>
<th align="center" valign="top">(SE)</th>
<th align="center" valign="top">%</th>
<th align="center" valign="top">(SE)</th>
<th align="center" valign="top">%</th>
<th align="center" valign="top">(SE)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="bottom">Lack of prerequisite knowledge</td>
<td align="center" valign="bottom">18.1</td>
<td align="center" valign="bottom">(2.7)</td>
<td align="center" valign="bottom">62.6</td>
<td align="center" valign="bottom">(3.1)</td>
<td align="center" valign="bottom">19.3</td>
<td align="center" valign="bottom">(2.2)</td>
</tr>
<tr>
<td align="left" valign="bottom">Classroom disruptions</td>
<td align="center" valign="bottom">29.5</td>
<td align="center" valign="bottom">(3.2)</td>
<td align="center" valign="bottom">53.4</td>
<td align="center" valign="bottom">(3.6)</td>
<td align="center" valign="bottom">17.0</td>
<td align="center" valign="bottom">(2.4)</td>
</tr>
<tr>
<td align="left" valign="bottom">Lack of motivation</td>
<td align="center" valign="bottom">41.7</td>
<td align="center" valign="bottom">(3.6)</td>
<td align="center" valign="bottom">51.3</td>
<td align="center" valign="bottom">(3.6)</td>
<td align="center" valign="bottom">6.9</td>
<td align="center" valign="bottom">(1.6)</td>
</tr>
<tr>
<td align="left" valign="bottom">Limited language proficiency</td>
<td align="center" valign="bottom">50.2</td>
<td align="center" valign="bottom">(3.5)</td>
<td align="center" valign="bottom">37.6</td>
<td align="center" valign="bottom">(3.6)</td>
<td align="center" valign="bottom">10.0</td>
<td align="center" valign="bottom">(1.9)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>We have not summarized the responses further, as the perceptions of composition reported require, at least conceptually, different instructional measures, with &#x201C;some&#x201D; indicating heterogeneity in the classroom and &#x2018;all&#x2019; and &#x201C;not at all&#x201D; indicating homogeneity with varying challenges. It should be noted, however, that these measurements are not objective measurements of class composition, but rather provide valid insights into teachers&#x2019; subjective reflections on the characteristics of their students and their own competencies in promoting adaptive instruction.</p>
</sec>
<sec id="sec24">
<label>4.2.3</label>
<title>Science achievement und students&#x2019; motivation</title>
<p>In order to control for &#x201C;objective&#x201D; characteristics of class composition, we included four measures that indicate the level and heterogeneity of the classes in terms of both achievement in science and motivation. For achievement in science, we applied from the TIMSS scale Science (<italic>M</italic>&#x202F;=&#x202F;522.06, <italic>SE</italic>&#x202F;=&#x202F;2.58) as both the class average and the standard deviation. For motivation, we additionally applied the class average and standard deviation for the scale &#x201C;Students like science&#x201D; (<italic>M</italic>&#x202F;=&#x202F;9.85, <italic>SE</italic>&#x202F;=&#x202F;0.05; for the items, see <xref ref-type="bibr" rid="ref85">Mullis et al., 2020</xref>). In TIMSS, the performance scales and motivation scales are constructed using IRT scaling methods with the aim of measuring a single underlying latent construct (<xref ref-type="bibr" rid="ref75">Martin et al., 2020</xref>).</p>
</sec>
<sec id="sec25">
<label>4.2.4</label>
<title>Teacher characteristics as covariates</title>
<p>For teacher characteristics, we applied four indicators based on <xref ref-type="bibr" rid="ref16">Bl&#x00F6;meke et al. (2016)</xref> and <xref ref-type="bibr" rid="ref123">Teig et al. (2019)</xref>: (a) formal educational level, (b) teaching experience, (c) further training in science, and (d) specific further training in critical thinking and inquiry skills. Since the formal educational level of teachers may range from a teaching academy diploma, a diploma in education from a teacher training college, a Bachelor of Education from a teacher training college or a university of applied sciences, to a Master of Education from a university or university of applied sciences and a doctorate from a university, we distinguish between teachers with a qualification at ISCED7 (master&#x2019;s or equivalent level, 10.3%) or higher and teachers with a lower level (ISCED 5, short-cycle tertiary education; 38.8% or ISCED 6: bachelor&#x2019;s or equivalent level, 50.9%). For teaching experience, we coded the open questions on years (M&#x202F;=&#x202F;19.2; SE&#x202F;=&#x202F;0.75) as less than 5&#x202F;years of experience (15.2%) and more than 5&#x202F;years of experience (84.8%) to distinguish between novice teachers and others. For further training in science, we recoded the open-ended questions on hours (M&#x202F;=&#x202F;2.04; SE&#x202F;=&#x202F;0.07) into less than 6&#x202F;h (68.8%) and more than 6&#x202F;h of further training in the last 2 years (31.3%) to distinguish between highly motivated teachers and others. In addition, we applied information on whether specific training programmes in critical thinking and inquiry skills had been completed in the last 2 years to distinguish better-prepared teachers (yes&#x202F;=&#x202F;24.2%) from others (75.7%).</p>
</sec>
</sec>
<sec id="sec26">
<label>4.3</label>
<title>Analysis</title>
<p>In order to examine the frequency of use of different IQIS, we first calculate descriptive statistics using the sample weighting SCIWGT. We then examined the percentage of students for whom teachers reported that the strategies were never, occasionally, in half of the lessons, or in almost every lesson for all four scales. For these scales, mean values were calculated and mean values of 0&#x202F;&#x2264;&#x202F;M&#x202F;&#x003C;&#x202F;0.5 were categorized as &#x201C;never,&#x201D; mean values of 0.51&#x202F;&#x2264;&#x202F;M&#x202F;&#x003C;&#x202F;1.5 as &#x201C;occasionally,&#x201D; mean values of 1.5&#x202F;&#x2264;&#x202F;M&#x202F;&#x003C;&#x202F;2.5 as &#x201C;in half of the lessons,&#x201D; and mean values of 2.51&#x202F;&#x2264;&#x202F;M&#x202F;&#x2264;&#x202F;2.5 as &#x201C;in every lesson.&#x201D; To model the relationship between teachers&#x2019; perceptions of classroom composition challenges and the IQIS, we applied multiple regression models for the four separate IRT scales of the IQIS as dependent variables. For each composition dimension, we use two dummy-coded variables (some, all) with &#x201C;not at all&#x201D; as the reference group. We calculated multiple regression models using PROC SURVEYREG from SAS/STAT&#x00AE; Version 14.1 of the SAS System for Windows (<xref ref-type="bibr" rid="ref104">SAS Institute Inc., 2015</xref>). We then controlled for achievement and motivation measures of class composition (models 2 and 3) and teacher characteristics (model 4).</p>
</sec>
</sec>
<sec sec-type="results" id="sec27">
<label>5</label>
<title>Results</title>
<p><xref ref-type="table" rid="tab5">Table 5</xref> shows the proportion of students in Austria who, according to their teachers, experience varied inquiry-based instructional strategies with varying frequency. It shows that involving IQIS are used least frequently: 17.2% of students never experience involving IQIS and 74.8% only occasionally. In contrast, cognitively activating IQIS are the most common and are used in (almost) every lesson by 18.7% of all Austrian fourth graders and in half of the lessons by 56.3%. According to teachers, demonstrating IQIS are less common (in half of the lessons: 35.5% and in every lesson: 1.3%) than connecting IQIS (in half of the lessons: 47.3% and in every lesson: 1.5%).</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Frequency of IQIS use according to science teachers (Austrian 4th graders).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th>IQIS</th>
<th align="center" valign="top" colspan="2">Never</th>
<th align="center" valign="top" colspan="2">Occasionally</th>
<th align="center" valign="top" colspan="2">Half of the lessons</th>
<th align="center" valign="top" colspan="2">(Almost) every lesson</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Demonstrating</td>
<td align="center" valign="top">0.8</td>
<td align="center" valign="top">(0.6)</td>
<td align="center" valign="top">62.4</td>
<td align="center" valign="top">(3.5)</td>
<td align="center" valign="top">35.5</td>
<td align="center" valign="top">(3.4)</td>
<td align="center" valign="top">1.3</td>
<td align="center" valign="top">(0.6)</td>
</tr>
<tr>
<td align="left" valign="middle">Connecting</td>
<td align="center" valign="middle">0.2</td>
<td align="center" valign="middle">(0.2)</td>
<td align="center" valign="middle">50.9</td>
<td align="center" valign="middle">(3.6)</td>
<td align="center" valign="middle">47.3</td>
<td align="center" valign="middle">(3.5)</td>
<td align="center" valign="middle">1.5</td>
<td align="center" valign="middle">(0.6)</td>
</tr>
<tr>
<td align="left" valign="middle">Involving</td>
<td align="center" valign="middle">17.2</td>
<td align="center" valign="middle">(2.6)</td>
<td align="center" valign="middle">74.8</td>
<td align="center" valign="middle">(3.0)</td>
<td align="center" valign="middle">5.5</td>
<td align="center" valign="middle">(1.4)</td>
<td align="center" valign="middle">2.5</td>
<td align="center" valign="middle">(0.8)</td>
</tr>
<tr>
<td align="left" valign="middle">Cognitively activating</td>
<td align="center" valign="middle">0.0</td>
<td align="center" valign="middle">(0.0)</td>
<td align="center" valign="middle">25.0</td>
<td align="center" valign="middle">(2.8)</td>
<td align="center" valign="middle">56.3</td>
<td align="center" valign="middle">(3.1)</td>
<td align="center" valign="middle">18.7</td>
<td align="center" valign="middle">(2.5)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>To model the relationship between teachers&#x2019; perceptions of challenges related to class composition and IQIS, we analyzed the effects of these variables as covariates separately for the four IRT scales of inquiry-based instructional strategies. For better readability, we have summarized model 4 of the respective IQIS scales in a final regression model in <xref ref-type="table" rid="tab6">Table 6</xref>. The characteristic values of models 1 to 3 are described below and can be downloaded as <xref rid="SM1" ref-type="supplementary-material">Supplementary material</xref> for verification purposes, but are not visualised.</p>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Final regression model for all IQIS scales, perceived class characteristics, mean achievement, motivation, and teacher characteristics.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2">Impact factors on lesson design</th>
<th align="center" valign="middle" colspan="2">Demonstrating</th>
<th align="center" valign="middle" colspan="2">Connecting</th>
<th align="center" valign="middle" colspan="2">Involving</th>
<th align="center" valign="middle" colspan="2">Cognitively activating</th>
</tr>
<tr>
<th align="center" valign="middle">b</th>
<th align="center" valign="middle">(SE)</th>
<th align="center" valign="middle">b</th>
<th align="center" valign="middle">(SE)</th>
<th align="center" valign="middle">b</th>
<th align="center" valign="middle">(SE)</th>
<th align="center" valign="middle">b</th>
<th align="center" valign="middle">(SE)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Intercept</td>
<td align="center" valign="middle">&#x2212;0.100</td>
<td align="center" valign="middle">(1.373)</td>
<td align="center" valign="middle">&#x2212;2.442</td>
<td align="center" valign="middle">(1.144)</td>
<td align="center" valign="middle">&#x2212;3.994</td>
<td align="center" valign="middle">(1.544)</td>
<td align="center" valign="top">&#x2212;2.514</td>
<td align="center" valign="top">(1.411)</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="9">Class characteristics</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>Lack of prerequisite knowledge</italic></td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Some learners</td>
<td align="center" valign="bottom">&#x2212;0.095</td>
<td align="center" valign="bottom">(0.168)</td>
<td align="center" valign="bottom">0.042</td>
<td align="center" valign="bottom">(0.313)</td>
<td align="center" valign="bottom">&#x2212;0.099</td>
<td align="center" valign="middle">(0.168)</td>
<td align="center" valign="bottom">0.050</td>
<td align="center" valign="bottom">(0.210)</td>
</tr>
<tr>
<td align="left" valign="middle">All learners</td>
<td align="center" valign="bottom">&#x2212;0.010</td>
<td align="center" valign="bottom">(0.145)</td>
<td align="center" valign="bottom">0.041</td>
<td align="center" valign="bottom">(0.130)</td>
<td align="center" valign="bottom">0.108</td>
<td align="center" valign="middle">(0.191)</td>
<td align="center" valign="bottom">0.039</td>
<td align="center" valign="bottom">(0.155)</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>Classroom disruptions</italic></td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Some learners</td>
<td align="center" valign="bottom">&#x2212;0.167</td>
<td align="center" valign="bottom">(0.145)</td>
<td align="center" valign="bottom">&#x2212;0.013</td>
<td align="center" valign="bottom">(0.123)</td>
<td align="center" valign="bottom">&#x2212;0.092</td>
<td align="center" valign="middle">(0.155)</td>
<td align="center" valign="bottom">&#x2212;0.185</td>
<td align="center" valign="bottom">(0.148)</td>
</tr>
<tr>
<td align="left" valign="middle">All learners</td>
<td align="center" valign="bottom"><bold>&#x2212;0.302</bold></td>
<td align="center" valign="bottom">(0.149)</td>
<td align="center" valign="bottom"><bold>&#x2212;0.317</bold></td>
<td align="center" valign="bottom">(0.148)</td>
<td align="center" valign="bottom">&#x2212;0.243</td>
<td align="center" valign="middle">(0.193)</td>
<td align="center" valign="bottom"><bold>&#x2212;0.362</bold></td>
<td align="center" valign="bottom">(0.158)</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>Lack of motivation</italic></td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Some learners</td>
<td align="center" valign="bottom">0.717</td>
<td align="center" valign="bottom">(0.132)</td>
<td align="center" valign="bottom">0.172</td>
<td align="center" valign="bottom">(0.129)</td>
<td align="center" valign="bottom">0.048</td>
<td align="center" valign="middle">(0.145)</td>
<td align="center" valign="bottom"><bold>0.324</bold></td>
<td align="center" valign="bottom">(0.163)</td>
</tr>
<tr>
<td align="left" valign="middle">All learners</td>
<td align="center" valign="bottom">0.326</td>
<td align="center" valign="bottom">(0.223)</td>
<td align="center" valign="bottom">0.226</td>
<td align="center" valign="bottom">(0.186)</td>
<td align="center" valign="bottom">&#x2212;0.025</td>
<td align="center" valign="middle">(0.280)</td>
<td align="center" valign="bottom">0.424</td>
<td align="center" valign="bottom">(0.294)</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>Limited language proficiency</italic></td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Some learners</td>
<td align="center" valign="bottom">0.097</td>
<td align="center" valign="bottom">(0.145)</td>
<td align="center" valign="bottom">&#x2212;0.195</td>
<td align="center" valign="bottom">(0.139)</td>
<td align="center" valign="bottom">&#x2212;0.102</td>
<td align="center" valign="middle">(0.173)</td>
<td align="center" valign="bottom">&#x2212;0.097</td>
<td align="center" valign="bottom">(0.148)</td>
</tr>
<tr>
<td align="left" valign="middle">All learners</td>
<td align="center" valign="middle">0.236</td>
<td align="center" valign="middle">(0.180)</td>
<td align="center" valign="middle"><bold>0.317</bold></td>
<td align="center" valign="middle">(0.166)</td>
<td align="center" valign="middle">0.201</td>
<td align="center" valign="middle">(0.239)</td>
<td align="center" valign="top">0.176</td>
<td align="center" valign="top">(0.213)</td>
</tr>
<tr>
<td align="left" valign="top" colspan="9">Science class</td>
</tr>
<tr>
<td align="left" valign="top">Mean achievement</td>
<td align="center" valign="top">0.001</td>
<td align="center" valign="top">(0.002)</td>
<td align="center" valign="top"><bold>0.004</bold></td>
<td align="center" valign="top">(0.002)</td>
<td align="center" valign="top"><bold>0.007</bold></td>
<td align="center" valign="top">(0.002)</td>
<td align="center" valign="top"><bold>0.004</bold></td>
<td align="center" valign="top">(0.001)</td>
</tr>
<tr>
<td align="left" valign="top">SD achievement</td>
<td align="center" valign="top">&#x2212;0.001</td>
<td align="center" valign="top">(0.001)</td>
<td align="center" valign="top">0.000</td>
<td align="center" valign="top">(0.001)</td>
<td align="center" valign="top">&#x2212;0.001</td>
<td align="center" valign="middle">(0.001)</td>
<td align="center" valign="top"><bold>&#x2212;0.001</bold></td>
<td align="center" valign="top">(0.001)</td>
</tr>
<tr>
<td align="left" valign="top">Mean motivation</td>
<td align="center" valign="top">&#x2212;0.071</td>
<td align="center" valign="top">(0.079)</td>
<td align="center" valign="top">0.106</td>
<td align="center" valign="top">(0.070)</td>
<td align="center" valign="top">0.006</td>
<td align="center" valign="middle">(0.089)</td>
<td align="center" valign="top">0.040</td>
<td align="center" valign="top">(0.080)</td>
</tr>
<tr>
<td align="left" valign="top">SD motivation</td>
<td align="center" valign="top">0.009</td>
<td align="center" valign="top">(0.025)</td>
<td align="center" valign="top">0.003</td>
<td align="center" valign="top">(0.026)</td>
<td align="center" valign="top"><bold>0.063</bold></td>
<td align="center" valign="middle">(0.036)</td>
<td align="center" valign="top">0.029</td>
<td align="center" valign="top">(0.025)</td>
</tr>
<tr>
<td align="left" valign="top" colspan="9">Teacher characteristics</td>
</tr>
<tr>
<td align="left" valign="top">Formal educational level<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref></td>
<td align="center" valign="top">0.122</td>
<td align="center" valign="top">(0.129)</td>
<td align="center" valign="top">&#x2212;0.115</td>
<td align="center" valign="top">(0.092)</td>
<td align="center" valign="top">0.036</td>
<td align="center" valign="middle">(0.107)</td>
<td align="center" valign="top">&#x2212;0.065</td>
<td align="center" valign="top">(0.099)</td>
</tr>
<tr>
<td align="left" valign="top">Teaching experience<xref ref-type="table-fn" rid="tfn2"><sup>b</sup></xref></td>
<td align="center" valign="top">&#x2212;0.004</td>
<td align="center" valign="top">(0.005)</td>
<td align="center" valign="top"><bold>&#x2212;0.012</bold></td>
<td align="center" valign="top">(0.005)</td>
<td align="center" valign="top">&#x2212;0.002</td>
<td align="center" valign="middle">(0.006)</td>
<td align="center" valign="top">&#x2212;0.007</td>
<td align="center" valign="top">(0.004)</td>
</tr>
<tr>
<td align="left" valign="top">Further training in science<xref ref-type="table-fn" rid="tfn3"><sup>c</sup></xref></td>
<td align="center" valign="top">0.073</td>
<td align="center" valign="top">(0.060)</td>
<td align="center" valign="top">0.044</td>
<td align="center" valign="top">(0.056)</td>
<td align="center" valign="top"><bold>0.159</bold></td>
<td align="center" valign="middle">(0.071)</td>
<td align="center" valign="top">0.064</td>
<td align="center" valign="top">(0.054)</td>
</tr>
<tr>
<td align="left" valign="top">Specific further training<xref ref-type="table-fn" rid="tfn4"><sup>d</sup></xref></td>
<td align="center" valign="top"><bold>&#x2212;0.106</bold></td>
<td align="center" valign="top">(0.145)</td>
<td align="center" valign="top">0.000</td>
<td align="center" valign="top">(0.050)</td>
<td align="center" valign="top"><bold>&#x2212;0.131</bold></td>
<td align="center" valign="middle">(0.173)</td>
<td align="center" valign="top">0.013</td>
<td align="center" valign="top">(0.067)</td>
</tr>
<tr>
<td align="left" valign="top"><italic>R<sup>2</sup></italic></td>
<td align="center" valign="top" colspan="2">0.17</td>
<td align="center" valign="top" colspan="2">0.20</td>
<td align="center" valign="top" colspan="2">0.25</td>
<td align="center" valign="top" colspan="2">0.17</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Bold print&#x202F;=&#x202F;regression coefficient (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05); &#x002A;&#x202F;&#x003C;&#x202F;0.1; &#x002A;&#x002A;&#x202F;&#x003C;&#x202F;0.05; &#x002A;&#x002A;&#x002A;&#x202F;&#x003C;&#x202F;0.01.</p>
<fn id="tfn1">
<label>a</label>
<p>Master or higher (0&#x202F;=&#x202F;lower degrees).</p>
</fn>
<fn id="tfn2">
<label>b</label>
<p>Five or more years of teaching experience (0&#x202F;=&#x202F;less than 5&#x202F;years).</p>
</fn>
<fn id="tfn3">
<label>c</label>
<p>Hours spent in further trainings for science.</p>
</fn>
<fn id="tfn4">
<label>d</label>
<p>Participation in specific further training for critical thinking or inquiry skills (yes&#x202F;=&#x202F;2; no&#x202F;=&#x202F;1; 0&#x202F;=&#x202F;no participation).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The models that included only teachers&#x2019; perceptions of class composition (models 1) explained a small proportion of the variation (between 2 and 12%), while the complete models (models 4) explained a moderate proportion of the variation (between 17 and 25%). For all scales, models that only take into account the measured class composition (models 2) explain a slightly higher proportion of the variance (between 6 and 15%) than model 1. The combined models of perceived and measured class composition (models 3) explain a moderate proportion of the variance (between 10 and 20%), with the R<sup>2</sup> value for all four scales being higher than for the respective models 1 and 2.</p>
<p>Teachers&#x2019; perceptions of the challenges related to composition explain between 2 and 12% of the total variance (model 1). Significant regression coefficients were found for demonstrating, connecting, and cognitive-activating strategies, but not for involving strategies, where the sum of the indicators explained the variance rather than a specific indicator. With regard to the specific challenges related to composition, we ascertained that the perception of learners&#x2019; prior knowledge did not have a significant influence on the scales. However, teachers who reported a high level of disruption in instruction were less likely to use connecting, demonstrating, and cognitively activating strategies. Teachers who perceive the limited language proficiency of all learners as a challenge reported more frequent use of connecting strategies. Teachers who perceive some unmotivated learners as a challenge are more likely to use cognitively activating strategies.</p>
<p>The measured class composition did not differ in terms of demonstrating strategies but did include connecting and cognitively activating IQIS. Here, the average motivation of the learners did not have a significant influence on the scales. The use of connecting, involving, and cognitively activating strategies is more likely to be reported in classes with higher mean science achievement. When controlling for teacher qualifications, we also ascertained that performance-related heterogeneity is significantly associated with less frequent use of cognitive activation strategies, while motivation-related heterogeneity is associated with more frequent use of involving IQIS.</p>
<p>Furthermore, we find some significant effects for the covariates of teacher quality, but without a clear pattern across all scales. Experienced teachers are less active in applying connecting activities than inexperienced teachers (model 4). Teachers who report having participated in specific training programmes on critical thinking or inquiry-based skills report less frequent use of demonstrating and involving strategies. On the other hand, more frequent participation in further training in science is associated with a higher likelihood of using all four IQIS strategies more frequently.</p>
</sec>
<sec sec-type="discussion" id="sec28">
<label>6</label>
<title>Discussion</title>
<p>The present study examined inquiry-based classes in Austrian primary schools for the first time. Inquiry-based science classes are characterized by multi-perspective approaches resulting from an intentional combination of metacognitive, social-cooperative, and conceptual instructional strategies to design a qualitative inquiry-based learning environments (<xref ref-type="bibr" rid="ref49">Hartinger and Lange-Schubert, 2020</xref>; <xref ref-type="bibr" rid="ref58">Kahlert et al., 2015</xref>). Using TIMSS data, we identified four IQIS (demonstrating, connecting, involving, cognitively activating) using 21 items from the teacher questionnaire, and examined their frequency of use in Austrian primary schools. In addition, the associations between teachers&#x2019; perceptions of problematic class characteristics and the use of varied instructional strategies was examined, too, controlling for teacher characteristics. Conceptually, our study is broader in scope than previous secondary analyses of TIMSS data, which primarily model inquiry-based learning as a sequence of cyclical inquiry phases (<xref ref-type="bibr" rid="ref001">Teig and Nilsen, 2022</xref>; <xref ref-type="bibr" rid="ref122">Teig et al., 2018</xref>, <xref ref-type="bibr" rid="ref123">2019</xref>). Descriptive analyses show that science teachers in Austria pursue involving strategies at most occasionally, whereas demonstrating, cognitively activating, and connecting IQIS are used significantly more frequently. For involving and demonstrating strategies, it appears that less than 50% of learners routinely experience these strategies. Primary school teachers in Austria seem to avoid these strategies in comparison to cognitively activating and connecting IQIS. This is not surprising, as <xref ref-type="bibr" rid="ref7">Appleton and Kindt (2002)</xref> and <xref ref-type="bibr" rid="ref48">Harlen (1997)</xref> show, these strategies are time-consuming to prepare and cognitively demanding to implement. Whether this is actually avoidance behavior in the sense of <xref ref-type="bibr" rid="ref4">Appleton (2003)</xref> and <xref ref-type="bibr" rid="ref48">Harlen (1997)</xref> can be merely suspected here. Further qualitative studies would be needed to learn more about the motives of teachers.</p>
<p>The multiple regression analyses show significant relationships between the frequency of IQIS use and perceived challenges in instruction resulting from class composition characteristics and teacher characteristics. For the scales <italic>connecting</italic>, <italic>involving</italic>, and <italic>cognitively activating</italic> significant positive associations with average class performance emerged with regard to frequency of use. Given the level of demand of the instructional strategies, it seems plausible that science teachers use them particularly in classes with a higher overall level of performance. Furthermore, studies in classroom show that there are significant associations between the cognitive level of instruction (cognitively activating IQIS) and average class performance (<xref ref-type="bibr" rid="ref9">Baumert et al., 2010</xref>; <xref ref-type="bibr" rid="ref16">Bl&#x00F6;meke et al., 2016</xref>; <xref ref-type="bibr" rid="ref36">Fauth et al., 2019</xref>; <xref ref-type="bibr" rid="ref91">Nilsen and Gustafsson, 2016</xref>; <xref ref-type="bibr" rid="ref123">Teig et al., 2019</xref>). With the exception of the involving scale, we did not observe any associations with motivation that can also be found in classroom teaching research. We, however, found a small but significant positive association with motivation, which also appears to be heterogenous in itself, as illustrated by its SD.</p>
<p>When looking at the perception of challenging characteristics of the class composition, the results show that, when controlling for other characteristics, a lack of prerequisite knowledge does not have a significant relationship with the frequency of use of instructional strategies. However, it is evident that teachers who perceive limited of language proficiency in their classes use IQIS that connect to the real world significantly more often (connecting IQIS). This seems plausible against the backdrop of the discourse on designing language-sensitive science education (<xref ref-type="bibr" rid="ref130">Wildemann and Fornol, 2016</xref>). However, we found no evidence that when language deficits are perceived on the part of the learners, this leads to less demanding inquiry-based science education being designed. The extent to which multilingualism is used as a resource or perceived as a deficit and influences the use of instructional strategies cannot be investigated with the available data.</p>
<p>The regression analyses further showed that cognitively activating IQIS are used more frequently when teachers describe motivation as problematic. In classes where demonstrating, connecting, and cognitively activating IQIS are used less frequently, classroom management is also described as challenging in terms of problems with disruptive learners. Against the background of the findings on instructional quality, it seems plausible that teachers who have problems with classroom management work on these and have less capacity to plan and implement complex, multi-perspective classes. In general, it seems that the effects are very small overall and cannot be statistically corroborated, particularly for the involving IQIS, due to the low variance in frequency of use. It would be useful to replicate these findings using optimized scales or qualitative analyses. Nevertheless, we interpret the findings as empirical evidence that primary school teachers in Austria use their degrees of freedom and adapt strategies for their inquiry-based instruction in accordance with their perception of the learning group. Our study thus extends existing empirical findings by <xref ref-type="bibr" rid="ref19">Brandmiller et al. (2020)</xref>, <xref ref-type="bibr" rid="ref44">Hamre and Pianta (2007)</xref>, and <xref ref-type="bibr" rid="ref112">Sherin et al. (2011)</xref>, who have investigated the perceptions of external characteristics of learners for individual diagnostics, suggesting that these interpretations may also be effective for classroom practice with regard to learning groups.</p>
<p>With regard to equity issues, this is worrying in two respects. First, in the present study 17.2% of learners never experienced involving IQIS in primary school science education. Second, it is evident that not only involving strategies, but also strategies that connect to the real world (connecting IQIS) and activate cognitive processes (cognitively activating IQIS) are used more frequently in high-performing classes. The danger of a scissor effect is evident here, as cognitively activating instruction has been proven to promote learning (<xref ref-type="bibr" rid="ref9">Baumert et al., 2010</xref>; <xref ref-type="bibr" rid="ref64">Klieme et al., 2006</xref>; <xref ref-type="bibr" rid="ref71">Lipowsky and Bleck, 2019</xref>).</p>
<p>Unlike studies by <xref ref-type="bibr" rid="ref16">Bl&#x00F6;meke et al. (2016)</xref> and <xref ref-type="bibr" rid="ref91">Nilsen and Gustafsson (2016)</xref> we find no evidence of significant associations between teacher characteristics and the use of cognitively activating IQIS in the Austrian sample. Likewise, no significant relationships were found with regard to teachers&#x2019; formal training. However, differential associations with other indicators of teacher professionalism can be demonstrated for the other instructional strategies. Participation in continuing further training proves to be significant for the use of involving IQIS, as confirmed by the study by <xref ref-type="bibr" rid="ref26">Darling-Hammond et al. (2017)</xref>. Teachers who participate in continuing training also provide involving IQIS in their instruction more frequently. However, participation in specific training programmes on critical thinking and inquiry skills shows a negative association with both involving and demonstrating IQIS. We suspect that teachers who are active in continuing further training do not use IQIS more frequently, but rather in a balanced and meaningful combination. Furthermore, the study by <xref ref-type="bibr" rid="ref122">Teig et al. (2018)</xref> shows that too frequent use of involving strategies may have a negative effect on student performance.</p>
<p>In addition, we find a significant relationship between teaching experience and the use of connecting IQIS. Teachers with more job experience use these significantly less often, and since this also includes field work activities. <xref ref-type="bibr" rid="ref57">Joffres and Haughey (2001)</xref> suggest that the willingness to include field work decreases with increasing job experience. This issue would need to be investigated in further studies. Further associations, such as those shown in the bivariate analysis in <xref ref-type="bibr" rid="ref80">Mistlberger&#x2019;s (2023)</xref> study, cannot be replicated in our multiple regression analyses.</p>
<p>The results of our study can be interpreted as initial empirical evidence that the general perception of class composition determines the frequency with which instructional strategies are used. If further studies are able to replicate this finding, there will be a need for more intensive discussion about reflexivity in teacher training and support measures in school practice. Pedagogical reflection skills are already part of teacher training (<xref ref-type="bibr" rid="ref106">Sch&#x00F6;n, 1983</xref>; <xref ref-type="bibr" rid="ref118">St&#x00EE;ngu, 2012</xref>). At the beginning of their training, prospective teachers should be provided with spaces where implicit theories can be expressed and then professionally reflected upon and constructively questioned. This would enable them to better cope with the challenges of a demanding learning environment and create space for reservations, fears, and doubts. Teachers need practical models and examples in both initial and continuing training to gain an idea of what inquiry-based learning might look like in everyday teaching. The study by <xref ref-type="bibr" rid="ref94">Pawelzik et al. (2016)</xref> indicates that the effectiveness of internships can contribute to an increase in self-efficacy experiences in teacher training through qualitative practical experiences. We conclude from our study that a wide range of practical learning opportunities are needed in teacher training, characterized by phases of personal experimentation and reflection, in order to enable a smooth transition from active learners at university to supportive, inquiry-based learning facilitators in the classroom.</p>
<p>Teacher training studies by <xref ref-type="bibr" rid="ref31">Dunker (2016)</xref> and <xref ref-type="bibr" rid="ref70">Lipowsky (2010)</xref> indicate, however, that training programs only have the potential to reach teachers under specific conditions. In particular, teachers with many years of teaching experience who feel that they have been insufficiently trained for qualitative inquiry-based educational processes should have more opportunities to participate in tailor-made subject-specific training courses. A study by <xref ref-type="bibr" rid="ref50">Heinrich-D&#x00F6;nges (2016)</xref> tried to identify conditions for successful training. The author cites personal interests and the opportunity to contribute to individual and school development issues as potentially effective factors. They might contribute to changing and further developing one&#x2019;s own instruction in a sustainable manner after the training series. Incorporating these approaches into the planning of future training programmes in science could help to strengthen teachers&#x2019; self-confidence and improve their science achievement in a quality- and interest-oriented framework. We also ascertain that a supportive professional school community can be beneficial for teachers. Furthermore, we see it as the responsibility of school leaders to explore organizational structures that support primary school teachers in preparing inquiry-based learning arrangements for their instruction in a more motivated, time- and resource-efficient manner, thereby strengthening primary school teachers&#x2019; self-concept. This may be a viable way forward to gradually address concerns about educational equity and equality.</p>
<p>A particular added worth of this study lies in its multi-criteria consideration of instructional strategies that should be used in inquiry-based science education. Furthermore, although the broader conceptual version and approach to inquiry-based educational processes through IQIS proved fruitful, the fundamental question arises as to whether a more extensive and meaningful structure is needed, which was not possible to map using the available data. Following the argumentation of <xref ref-type="bibr" rid="ref97">Praetorius et al. (2020)</xref> and <xref ref-type="bibr" rid="ref63">Kleickmann et al. (2020)</xref>, it would be worth considering, for instance, supplementing strategies for instructional reflection and quality improvement or even for adapting, individualizing, and differentiating instruction in future studies. Given the growing importance of inclusive education, further research would shed light on how teachers in inquiry-based learning settings respond to the learning needs of students with special educational needs.</p>
<p>It should also be taken into account that the operationalization was theory-based and post-hoc. This results in limitations with regard to both the validity and the measurement characteristics of the scales used. The standardized response categories, which generically ask about the overall frequency of use in a school year, proved to be a challenge for the consideration of teaching elements. It would be worth considering asking about the weighting of instructional elements in content-related units. Furthermore, our IRT analyses for the &#x201C;involving&#x201D; scale, which maps core phases of cyclical inquiry models in its four items, show in particular that the items are not logically independent. An extension of the scale to include further indicators of involving teaching elements for instance support measures when learners lack ideas or have difficulty developing and formulating a personally relevant research question would be recommended for future studies, too. It should be noted that the scale used here for cognitive activation (cognitively activating IQIS) reflects generic and non-specific aspects of science education. The use of subject-specific scales for primary schools, such as those developed by <xref ref-type="bibr" rid="ref95">Pedaste et al. (2021)</xref> would be desirable for future studies. There are further avenues for research to be explored. Mixed hierarchical modeling should be used, for instance, to examine the four IQIS-scales.</p>
<p>Further limitations must be taken into account when interpreting the results. Although participation in the standardized survey was voluntary for teachers, the questionnaire was quite lengthy. As a result, a biased response pattern in the sense of a lack of differentiation cannot be completely ruled out. In addition, the cross-sectional data only allow for a reflexive snapshot, but not a causal interpretation. However, this means that any changes that may have occurred during the school year cannot be considered. It should also be borne in mind that, for reasons of economy, large-scale assessments can only provide a superficial picture of constructs. As a result, deeper insights into the quality of varied learning arrangements are not possible. A particular limitation certainly affects in the operationalization of teachers&#x2019; perceptions with regard to characteristics of class composition that are perceived as problematic. Although we consider the items to be suitable for drawing conclusions about teacher perceptions, it remains problematic that perceptions cannot be related to more objective indicators. In addition, the present analyses assume that perceptions are relatively stable. Qualitative and longitudinal studies would be needed to test these assumptions.</p>
<p>Despite its limitations, this study provides insights into interactions and instructional quality, and offers initial findings on the design of inquiry-based learning opportunities in primary school science education in Austria. This is particularly important given the ongoing need for research in this area. These findings should stimulate further research projects that distinguish between varying types of high-quality interaction in inquiry-based learning and may serve as a basis for further secondary analyses comparing countries.</p>
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</body>
<back>
<sec sec-type="data-availability" id="sec29">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="ethics-statement" id="sec30">
<title>Ethics statement</title>
<p>Ethical approval was not required for the studies involving humans because this is a secondary analysis of the TIMS study. 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.</p>
</sec>
<sec sec-type="author-contributions" id="sec31">
<title>Author contributions</title>
<p>DN-H: Conceptualization, Formal analysis, Investigation, Methodology, Project administration, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing, Resources, Data curation, Validation. HW: Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Project administration, Supervision, Validation, Writing &#x2013; review &#x0026; editing. DK: Methodology, Software, Supervision, Conceptualization, Data curation, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="funding-information" id="sec32">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. Open access funding provided by the University of Graz.</p>
</sec>
<ack>
<p>The authors would like to express their sincere gratitude to the University of Graz for generously providing the financial support that made the open access publication of this article in Frontiers in Education possible. This support reflects the university&#x2019;s strong commitment to fostering high-quality research and its dissemination within the international academic community. We would furthermore like to mention how, in order to enhance certain passages of text, we utilised the AI writing assistant DeepL.</p>
</ack>
<sec sec-type="COI-statement" id="sec33">
<title>Conflict of interest</title>
<p>The authors declare that the research 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="sec36">
<title>Generative AI statement</title>
<p>The author(s) declare that Generative AI was used in the creation of this manuscript. DeepL was used as an AI writing assistant for the translation of individual passages.</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="sec34">
<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>
<sec sec-type="supplementary-material" id="sec35">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/feduc.2025.1490875/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/feduc.2025.1490875/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Supplementary_file_1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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<fn-group>
<fn id="fn0002"><p><sup>2</sup>For simplicity, we will now apply the abbreviation IQIS for <italic>InQuiry-based Instructional Strategies.</italic></p></fn>
</fn-group>
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