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<front>
<journal-meta>
<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>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/feduc.2023.1215436</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>Promoting systems thinking through perspective taking when using an online modeling tool</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Jordan</surname>
<given-names>Rebecca C.</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2044479/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Gray</surname>
<given-names>Steven</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Boyse-Peacor</surname>
<given-names>Alita</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sorensen</surname>
<given-names>Amanda E.</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Frantz</surname>
<given-names>Cynthia McPherson</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/228797/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jauernig</surname>
<given-names>Johanna</given-names>
</name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Brehm</surname>
<given-names>Paul</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Shammin</surname>
<given-names>Md Rumi</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Petersen</surname>
<given-names>John</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Community Sustainability, Michigan State University</institution>, <addr-line>East Lansing, MI</addr-line>, <country>United States</country></aff>
<aff id="aff2"><sup>2</sup><institution>College of Arts and Sciences, Oberlin College</institution>, <addr-line>Oberlin, OH</addr-line>, <country>United States</country></aff>
<aff id="aff3"><sup>3</sup><institution>Center for the Philosophy of Freedom, University of Arizona</institution>, <addr-line>Tucson, AZ</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0002"><p>Edited by: Sara Wyse, Bethel University (Minnesota), United States</p></fn>
<fn fn-type="edited-by" id="fn0003"><p>Reviewed by: Caleb Trujillo, University of Washington Bothell, United States; Joe Dauer, University of Nebraska System, United States</p></fn>
<corresp id="c001">&#x002A;Correspondence: Rebecca C. Jordan, <email>jordanre@msu.edu</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>08</day>
<month>12</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>8</volume>
<elocation-id>1215436</elocation-id>
<history>
<date date-type="received">
<day>02</day>
<month>05</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>25</day>
<month>10</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2023 Jordan, Gray, Boyse-Peacor, Sorensen, Frantz, Jauernig, Brehm, Shammin and Petersen.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Jordan, Gray, Boyse-Peacor, Sorensen, Frantz, Jauernig, Brehm, Shammin and Petersen</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>
<sec id="sec1001">
<title>Introduction</title>
<p>Disagreements between people on different sides of popular issues in STEM are often rooted in differences in &#x201C;mental models,&#x201D; which include both rational and emotional cognitive associations about the issue; especially given these issues are systemic in nature.</p>
</sec>
<sec id="sec2001">
<title>Methods</title>
<p>In the research described here, we employ the fuzzy cognitive mapping software MentalModeler (developed by one of the authors)<xref ref-type="fn" rid="fn0001"><sup>1</sup></xref> as a tool for articulating implicit and explicit assumptions about one&#x2019;s knowledge of both the environmental and social science and values underpinning complex system related issues. More specifically, we test the assumption that this pedagogical approach will foster certain aspects of perspective taking that can be traced with cognitive development and systems thinking as students not only articulate their own understanding of an issue, but also articulate the view of others.</p>
</sec>
<sec id="sec3001">
<title>Results and discussion</title>
<p>Results are discussed with respect to systems thinking that is developed through this type of modeling.</p>
</sec>
</abstract>
<kwd-group>
<kwd>systems thinking</kwd>
<kwd>perspective taking</kwd>
<kwd>model based learning</kwd>
<kwd>life science</kwd>
<kwd>environmental science</kwd>
</kwd-group>
<counts>
<fig-count count="0"/>
<table-count count="3"/>
<equation-count count="0"/>
<ref-count count="42"/>
<page-count count="7"/>
<word-count count="5602"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>STEM Education</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<title>Introduction</title>
<p>The complex topics that the biological sciences grapple with are not merely scientific puzzles; they are also ideologically and emotionally powered issues that affect many research fields and the diverse public in different ways. Such issues require teaching and learning strategies that enable students to solve problems that are often associated with complex biological and social systems. In this paper, we share the outcomes of an undergraduate classroom-based research study that teaches problem- solving and complex system thinking using semi-quantitative and computational modeling with perspective taking. More specifically, we use the MentalModeler software suite and case studies based on emotionally charged issues that serve to both motivate and set the context for student learning. This approach was designed to encourage multiple perspective taking to teach both systems thinking and problem solution/resolution. The latter of which we argue also requires creativity and thinking across temporal and spatial scales.</p>
<sec id="sec2">
<title>Background</title>
<p>To develop socio-scientific thinking skills in biology, students need learning materials nested in the context of real-world problems (<xref ref-type="bibr" rid="ref39">Zeidler et al., 2009</xref>). This necessarily involves thinking in systems and across scale. Further, we argue, learners need to develop, model, and support explanations of complex biological systems (e.g., modeling their understanding), while thinking across perspectives (<xref ref-type="bibr" rid="ref22">Jordan and Sorensen, 2021</xref>). The focus of the learning intervention described here is to use models as a means for students to engage in different perspectives. In this study, we defined models as simplified abstractions that aid in thinking. Below are the three research literatures that inform our approach: (1) systems thinking, (2) model-based learning for systems thinking, and (3) novel perspective taking.</p>
<p>1. Systems thinking. Systems thinking is increasingly recognized as central to being scientifically literate citizens (e.g., <xref ref-type="bibr" rid="ref12">Gray, 2018</xref>). While a systems-thinking approach to STEM education has been popular for decades (<xref ref-type="bibr" rid="ref32">Stave and Hopper, 2007</xref>; <xref ref-type="bibr" rid="ref30">Skaza and Stave, 2009</xref>), there remain significant gaps in understanding how systems thinking is best scaffolded in the undergraduate STEM classroom and how to assess and measure students&#x2019; understanding of systems. Nonetheless, systems thinking generates scientific habits of mind (<xref ref-type="bibr" rid="ref24">Kay and Foster, 1999</xref>; <xref ref-type="bibr" rid="ref33">Steinkuehler and Duncan, 2008</xref>) that are useful frameworks for reasoning and abstracting about a range of complex interactions that underlie contemporary societal biological-related problems (<xref ref-type="bibr" rid="ref34">Tabacaru et al., 2009</xref>).</p>
<p>Although definitions of systems thinking vary, most definitions highlight that systems thinking is an ability to recognize and understand the relationships between the structure and function of complex systems and the ability to qualify this understanding through graphical or semantic representation, definition, and explanation. In this manuscript, we our view of systems thinking is akin to the soft Systems-thinking Methodology (i.e., SSM) defined by <xref ref-type="bibr" rid="ref5">Checkland and Poulter (2020)</xref>. Here, learners are using a purposeful activity (such as generating FCM models; see below) to grapple with real- world, often social, issues that are complex and require the learner to approach the problem from different angles. We stray from SSM in that we do not follow the learning cycle exactly as described by the authors, but we do include a cycle where information is gathered, leverage points are defined, trade-offs are compared, and decision or action is supported.</p>
<p>Systems thinking has been shown to be challenging for learners because of the non-linear, multi- scalar dynamics with often embedded feedbacks, hidden mechanism, and emergent properties (<xref ref-type="bibr" rid="ref16">Hmelo-Silver and Azevedo, 2006</xref>; <xref ref-type="bibr" rid="ref21">Jacobson and Wilensky, 2006</xref>; <xref ref-type="bibr" rid="ref36">Verhoeff et al., 2008</xref>). In natural systems such complexity includes macroscopic and microscopic phenomena (<xref ref-type="bibr" rid="ref27">Penner, 2000</xref>; <xref ref-type="bibr" rid="ref28">Samon and Levy, 2017</xref>) that interact with the living and nonliving elements of the environment (<xref ref-type="bibr" rid="ref18">Hmelo-Silver et al., 2007</xref>; <xref ref-type="bibr" rid="ref29">Shepardson et al., 2007</xref>; <xref ref-type="bibr" rid="ref11">Eilam, 2012</xref>). Learners also struggle with how mechanisms and outcomes are interrelated (<xref ref-type="bibr" rid="ref7">Covitt et al., 2009</xref>). Learners often put undue focus on unidirectional causal chains that then cause the learner to miss the reciprocal relationships between structures and the associated processes (<xref ref-type="bibr" rid="ref14">Grotzer and Basca, 2003</xref>; <xref ref-type="bibr" rid="ref9002">Mohan et al., 2009</xref>). This oversimplicity in relational understanding is especially exacerbated when thinking about how smaller system elements interact to result in larger scale outcomes (<xref ref-type="bibr" rid="ref15">Grotzer et al., 2017</xref>). In addition, learners can ascribe forces within a system to have intent and purpose to produce a certain outcome, leading to oversimplified and inaccurate interpretations of causality (<xref ref-type="bibr" rid="ref9">Cuzzolino et al., 2019</xref>).</p>
<p><xref ref-type="bibr" rid="ref1">Ben-Zvi Assaraf and Orion (2005)</xref> report that learners&#x2019; systems thinking can be supported through interventions that feature knowledge integration, but in a case study of four students 4&#x2009;years later, few ideas remained stable: suggesting a need for greater thinking support throughout the curriculum. Some (e.g., <xref ref-type="bibr" rid="ref38">York and Orgill, 2020</xref>; <xref ref-type="bibr" rid="ref22">Jordan and Sorensen, 2021</xref>) have suggested approaches to systems thinking scaffolding and assessment, which involve clearly defining the system processes within the context of the curriculum, whether it be chemistry, life sciences, or in the case of <xref ref-type="bibr" rid="ref25">Mahaffy et al. (2018)</xref>, within interdisciplinary studies (e.g., chemistry and socio-environmental systems). How can students&#x2019; internal representations of their systems understanding, therefore be determined, and assessed? We suggest that models as external representations of learners&#x2019; system understanding can be useful in not only teaching about systems but also in the assessment of systems thinking.</p>
<p>2. Model-based learning for systems thinking. Based on the idea that internal mental models are constructed over time as new information is obtained (e.g., see <xref ref-type="bibr" rid="ref10">Dauer and Long, 2015</xref>), we argue that iterative model construction is an effective practice from which learners can integrate both evidence and domain-specific knowledge into visualizations (i.e., concept maps) that can be used to measure degrees of systems thinking through model-based reasoning. Indeed, iterative model development provides a manner for learning about systems in domain specific contexts (<xref ref-type="bibr" rid="ref22">Jordan and Sorensen, 2021</xref>). Below we discuss the value of models in supporting the cognitive offloading of complex ideas.</p>
<p>Here we define models as simplified abstractions or representations that characterize an idea or phenomenon (e.g., <xref ref-type="bibr" rid="ref8">Crawford and Jordan, 2013</xref>). Models allow cognition to be distributed by offloading parts of difficult tasks into the physical environment, where thinking can be organized and discussed. Furthermore, because models often include a small number of semantic representations, individuals coming from different backgrounds, once familiar with model terms, can communicate in a standardized space. Finally, models provide opportunities for learners to make their ideas visible and open for discussion, negotiation, revision, and extension; supporting constructive discourse, which is associated with positive learning outcomes (<xref ref-type="bibr" rid="ref9003">Greeno, 1998</xref>; <xref ref-type="bibr" rid="ref6">Chi et al., 2001</xref>).</p>
<p>Learner mental models, as made visible through cognitive mapping software, can also serve as a kind of boundary object (<xref ref-type="bibr" rid="ref31">Star and Griesemer, 1989</xref>) by providing the means for bridging ideas across disciplines. In this manner, students taking ideas and perspectives from different disciplines are given a common language for discourse. We, therefore use models as a way for students to help the instructors and each other make their thinking visible. Doing so can enable the multiple and complex parts and processes of the system to be identified and elaborated. We argue that providing learners with a specific modeling approach can enable a common language and classroom artifact that can be assessed. In addition, this common language serves as an effective means for assessment. Finally, modeling can also aid students in taking multiple perspectives.</p>
<p>3. Perspective taking. <xref ref-type="bibr" rid="ref3">Cabrera (2009)</xref>, and more recently <xref ref-type="bibr" rid="ref35">Taylor et al. (2020)</xref>, argue that perspective taking is a fundamental part of systems thinking but is underdeveloped in terms of STEM and life science learning. Perspective taking is the ability to make inferences about and represent others&#x2019; psychological states&#x2014;their emotions, thoughts, goals, and intentions (<xref ref-type="bibr" rid="ref9004">Stietz et al., 2019</xref>). We argue that promoting such perspective-taking pedagogy is essential for developing social and scientific problem-solving skills, both because it will enhance learners&#x2019; understanding of complex systems, as well as help to overcome cognitive biases elicited by controversial socio-biological problems.</p>
<p>Like the ambiguity of defining, understanding, and measuring systems thinking, perspective taking is often referred to in the literature using various terms including theory of mind, mentalizing, and cognitive empathy (in contrast to emotional empathy, the capacity to share others&#x2019; emotions; see <xref ref-type="bibr" rid="ref23">Kahn and Zeidler, 2019</xref> for a review). When learners are exposed to a view that is contrary to their own on an issue that matters to them (e.g., climate change, Genetically Modified Organisms), their moral feelings are violated. This triggers emotions that take over thinking, therefore much of the reasoning that follows serves solely to find arguments that support one&#x2019;s own view on the issue and arm against deviating arguments (<xref ref-type="bibr" rid="ref26">Molden and Higgins, 2012</xref>; <xref ref-type="bibr" rid="ref13">Greene, 2014</xref>). The false consensus effect, or the tendency to assume that others see the world as we do, leads people to systematically underestimate the extent to which others&#x2019; perspectives diverge from their own (<xref ref-type="bibr" rid="ref2">Bergquist et al., 2019</xref>). In this manuscript, we focus on several issues that present likely moral dilemmas for the learner, though, we acknowledge that this might vary and therefore use positionality (i.e., whether a student agrees or disagrees and to what extent) on an issue as a consideration in our study.</p>
</sec>
</sec>
<sec id="sec3">
<title>Research questions</title>
<p>In this study, we wanted to characterize the change in what students modeled (i.e., in terms of model micro-motifs such as causal linkages and feedback loops) when modeling different perspectives of complex issues/systems.</p>
<p>We hypothesized that engagement in this perspective taking intervention will result in an increase in more sophisticated (i.e., greater causal linkages and indirect outcomes) model micro-motifs. We predict that such a change could be related to greater complexity that results from the multiple vantages of perspective taking.</p>
</sec>
<sec sec-type="methods" id="sec4">
<title>Methods</title>
<sec id="sec5">
<title>Study design</title>
<p>We partnered with instructors at a small midwestern liberal arts college for two semesters: including instructors of introductory classes in psychology, economics, and environmental studies from this institution. These data represent a subset of a larger study in progress. The larger study focuses not only on systems thinking and perspective taking, but also is intended to develop tools that allow for rapid conceptual model assessment in large classes. Instructors informed students that course products produced by them would be included in this study and that students had the option of opting out of the study. While the assignments were mandatory, students were able to elect or decline for their materials to be used in the research study and were given the option to withdraw throughout the semester. Student participation involved filling out two surveys and completing three modeling assignments. Research was done with institutional IRB approval (i054387).</p>
<p>Students participated in a survey at the beginning of the semester. This survey sought student agreement with one side or the other of a controversial issue. Three issues were chosen as the focus of this study: one biological (Genetically Modified Crops), one economic (price gouging), and one social (social media use) controversy. These topics were chosen because the authors thought they would likely elicit significant personal investment from students based on prior experience. Throughout the semester, students engaged in the three modeling assignments, each focused on one topic described above. To complete this modeling assignment, students read two contrasting perspectives written as first person narratives by the authors (pro and con). These perspectives were balanced in length and argument strength. Both shared common arguments for each perspective (see <xref rid="SM1" ref-type="supplementary-material">Supplementary material</xref>). After reading both perspectives, students were asked to make a model using the software, MentalModeler, for each perspective (see <xref rid="SM1" ref-type="supplementary-material">Supplementary material</xref> for the homework prompts). These models appear as concept maps (again, see <xref rid="SM1" ref-type="supplementary-material">Supplementary material</xref>) with arrows that have indicated both a direction, weight, which is positive or negative, and strength represented by line thickness. In this way, these models are semi-quantitative and represent drivers, receivers, and ordinary variables within the system. Note: that the direction was used to quantify the type of relationship between the variables, but through an informal inspection of the data saw no reason to include line strength as a variable. Whether the line was positive or negative was used in the micro-motif analysis. Students were given five or six predetermined (by the study authors) components for each model that they were required to put in their models and were told to add up to 10 more. They were told to think about and add as many connections to their models as they saw fit. All students did the assignments in the same order and roughly the same time across classes.</p>
</sec>
<sec id="sec6">
<title>Data collection</title>
<p>Surveys and modeling works were collected online. Students were told to attach their dotmmp (Mental Modeler File type) files. However, many failed to do so, instead attaching different file types, which resulted in a reduction of our sample size because data analysis required the dotmmp file. In addition, throughout the semester, students were instructed to complete and upload six models: one for and against each of the three topics, but some students were missing models altogether. We received a total of 104 out of a possible 225 complete student responses from the first semester, and 67 out of 132 complete student responses from the second semester. Attrition was greatest at the first timepoint.</p>
</sec>
<sec id="sec7">
<title>Data analysis</title>
<p>All data were extracted through download of the model structure metrics using the dotmmp files and MentalModeler. Model structure metrics included component information, which included each component put into the model and the nature of the arrows linking the components (and arrow direction and strength). These data included: Total Components, Total Connections, Density (number of lines), Number of Driver Components (causal), Number of Receiver Components (effect), and Number of Ordinary Components (neutral).</p>
<p>Once these data were extracted, model component counts were averaged across the pro and con for each side. They were also separated into &#x201C;my side&#x201D; and &#x201C;other side&#x201D; based on which stance the student took at the beginning of the semester and which side the model was on. For example, if a student was against GMOs, the GMO pro model would be &#x201C;other side&#x201D; and the GMO con model would be &#x201C;myside.&#x201D;</p>
<p>Models averages of component information were analyzed through a type II, unbalanced design Analysis as Variance (ANOVA) across the three assignments with time, course enrolled, and issue side as a within-subjects factors. In this manner, model effects were tested separately.</p>
<p>Using these data, information on micro-motifs was also generated. The micro motifs reflect the patterns associated with the components (represented by boxes in the modeling software) and the links (represented by arrows in the modeling software) students create between the boxes. <xref ref-type="table" rid="tab1">Table 1</xref> explains each micro-motif and how they were calculated using the model structure data.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Micro-motifs calculated from the model structure.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Type of influence and causal structure</th>
<th align="left" valign="top">Network structure</th>
<th align="left" valign="top">Definition and indication</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Bidirectionality</td>
<td align="left" valign="top">Closed pair</td>
<td align="left" valign="top">One node affects and is simultaneously affected by an adjacent node</td>
</tr>
<tr>
<td align="left" valign="top">Multiple causes</td>
<td align="left" valign="top">Linear triplet (sink)</td>
<td align="left" valign="top">Two non-adjacent nodes affect a shared adjacent node</td>
</tr>
<tr>
<td align="left" valign="top">Multiple effects</td>
<td align="left" valign="top">Linear triplet (source)</td>
<td align="left" valign="top">Two non-adjacent nodes are affected by a shared adjacent node</td>
</tr>
<tr>
<td align="left" valign="top">Indirect effects</td>
<td align="left" valign="top">Linear triplet (passer/flipper)</td>
<td align="left" valign="top">One node affects a non-adjacent node through a third node that moderates the affect</td>
</tr>
<tr>
<td align="left" valign="top">Moderated effects</td>
<td align="left" valign="top">Closed triplet (feedforward)</td>
<td align="left" valign="top">One node affects an adjacent node while it simultaneously affects that node through a third node</td>
</tr>
<tr>
<td align="left" valign="top">Feedbacks</td>
<td align="left" valign="top">Closed triplet (feedback)</td>
<td align="left" valign="top">Three adjacent nodes affect each other through a cycle, either clockwise of counterclockwise</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Note that these motifs increase in sophistication (see text) as one reads down.</p>
</table-wrap-foot>
</table-wrap>
<p>Bidirectionality is the simplest type of linkage with multiple causes and effects being the next level in that students are interlinking constructs and relationships. Next are the indirect effects, which are essential to representing non-linear and often dynamic component relations, and then finally feedback loops represent cyclic type mechanisms that play a role in complex system outcomes (see <xref rid="SM1" ref-type="supplementary-material">Supplementary material</xref> for model motif images). We define sophistication as the presence of indirect effects, causal chains, and feedback loops. The four categories of motifs (see <xref ref-type="table" rid="tab1">Table 1</xref>) represent increasing levels of sophistication with feedbacks/feedback loops being the highest level of understanding in terms of system representation motifs.</p>
<p>These micro-motif data were analyzed like model component data in that each motif was counted and averaged across students and then ANOVA was used to compare within side and across time.</p>
</sec>
</sec>
<sec sec-type="results" id="sec8">
<title>Results</title>
<p>We found no significant difference in models as analyzed with ANOVA in terms of class enrolled or in side taken as a within subject factor. This means that modeling a perspective different from one&#x2019;s own results in differences in model structure or the micro-motifs. We, however, found differences in models averaged across time. While we looked at both own side and other side, we chose to analyze own side models only. Again, we note that students did all tasks in the same order and own side prior to other side. We provide those data in <xref ref-type="table" rid="tab2">Tables 2</xref>, <xref ref-type="table" rid="tab3">3</xref>.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>This table is representing means, standard errors, and the ANOVA statistics for each model term using the downloaded model structure metrics for one side of the issue (note the overall model was significant).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top" colspan="2">Modeling task 1</th>
<th align="center" valign="top" colspan="2">Modeling task 2</th>
<th align="center" valign="top" colspan="2">Modeling task 3</th>
<th/>
<th/>
<th/>
</tr>
<tr>
<th align="left" valign="top">Component type</th>
<th align="center" valign="top"><italic>M</italic></th>
<th align="center" valign="top"><italic>SE</italic></th>
<th align="center" valign="top"><italic>M</italic></th>
<th align="center" valign="top"><italic>SE</italic></th>
<th align="center" valign="top"><italic>M</italic></th>
<th align="center" valign="top"><italic>SE</italic></th>
<th align="center" valign="top"><italic>df</italic></th>
<th align="center" valign="top"><italic>F</italic></th>
<th align="center" valign="top"><italic>p</italic></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Components</td>
<td align="center" valign="top">9.35</td>
<td align="center" valign="top">0.24</td>
<td align="center" valign="top">9.27</td>
<td align="center" valign="top">0.23</td>
<td align="center" valign="top">8.85</td>
<td align="center" valign="top">0.27</td>
<td align="center" valign="top">3.60</td>
<td align="center" valign="top">1.95</td>
<td align="center" valign="top">0.03</td>
</tr>
<tr>
<td align="left" valign="top">Connections</td>
<td align="center" valign="top">14.84</td>
<td align="center" valign="top">0.82</td>
<td align="center" valign="top">14.32</td>
<td align="center" valign="top">0.88</td>
<td align="center" valign="top">12.63</td>
<td align="center" valign="top">0.66</td>
<td align="center" valign="top">4.23</td>
<td align="center" valign="top">1.68</td>
<td align="center" valign="top">0.02</td>
</tr>
<tr>
<td align="left" valign="top">Density</td>
<td align="center" valign="top">0.19</td>
<td align="center" valign="top">0.01</td>
<td align="center" valign="top">0.19</td>
<td align="center" valign="top">0.01</td>
<td align="center" valign="top">0.19</td>
<td align="center" valign="top">0.01</td>
<td align="center" valign="top">0.03</td>
<td align="center" valign="top">1.83</td>
<td align="center" valign="top">0.96</td>
</tr>
<tr>
<td align="left" valign="top">Drivers</td>
<td align="center" valign="top">1.37</td>
<td align="center" valign="top">0.12</td>
<td align="center" valign="top">1.47</td>
<td align="center" valign="top">0.12</td>
<td align="center" valign="top">1.13</td>
<td align="center" valign="top">0.08</td>
<td align="center" valign="top">5.20</td>
<td align="center" valign="top">2.00</td>
<td align="center" valign="top">0.01</td>
</tr>
<tr>
<td align="left" valign="top">Ordinaries</td>
<td align="center" valign="top">4.82</td>
<td align="center" valign="top">0.30</td>
<td align="center" valign="top">4.19</td>
<td align="center" valign="top">0.24</td>
<td align="center" valign="top">4.28</td>
<td align="center" valign="top">0.30</td>
<td align="center" valign="top">3.48</td>
<td align="center" valign="top">1.94</td>
<td align="center" valign="top">0.04</td>
</tr>
<tr>
<td align="left" valign="top">Receivers</td>
<td align="center" valign="top">3.08</td>
<td align="center" valign="top">0.16</td>
<td align="center" valign="top">3.51</td>
<td align="center" valign="top">0.15</td>
<td align="center" valign="top">3.39</td>
<td align="center" valign="top">0.19</td>
<td align="center" valign="top">3.51</td>
<td align="center" valign="top">1.92</td>
<td align="center" valign="top">0.03</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>This table is representing means, standard errors, and the ANOVA statistics for each model term using the micro-motif metrics for one side of the issue (note the overall model was significant).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top" colspan="2">Modeling Task 1</th>
<th align="center" valign="top" colspan="2">Modeling Task 2</th>
<th align="center" valign="top" colspan="2">Modeling Task 3</th>
<th colspan="3"/>
</tr>
<tr>
<th align="left" valign="top">Motif type</th>
<th align="center" valign="top"><italic>M</italic></th>
<th align="center" valign="top"><italic>SE</italic></th>
<th align="center" valign="top"><italic>M</italic></th>
<th align="center" valign="top"><italic>SE</italic></th>
<th align="center" valign="top"><italic>M</italic></th>
<th align="center" valign="top"><italic>SE</italic></th>
<th align="center" valign="top"><italic>df</italic></th>
<th align="center" valign="top"><italic>F</italic></th>
<th align="center" valign="top"><italic>p</italic></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Bidirectionality</td>
<td align="center" valign="top">0.30</td>
<td align="center" valign="top">0.11</td>
<td align="center" valign="top">0.22</td>
<td align="center" valign="top">0.06</td>
<td align="center" valign="top">0.43</td>
<td align="center" valign="top">0.15</td>
<td align="center" valign="top">1.59</td>
<td align="center" valign="top">2.29</td>
<td align="center" valign="top">0.12</td>
</tr>
<tr>
<td align="left" valign="top">Multiple causes</td>
<td align="center" valign="top">4.80</td>
<td align="center" valign="top">0.62</td>
<td align="center" valign="top">3.79</td>
<td align="center" valign="top">0.45</td>
<td align="center" valign="top">3.00</td>
<td align="center" valign="top">0.41</td>
<td align="center" valign="top">1.85</td>
<td align="center" valign="top">5.01</td>
<td align="center" valign="top">0.01</td>
</tr>
<tr>
<td align="left" valign="top">Multiple effects</td>
<td align="center" valign="top">14.46</td>
<td align="center" valign="top">0.99</td>
<td align="center" valign="top">11.93</td>
<td align="center" valign="top">0.92</td>
<td align="center" valign="top">13.66</td>
<td align="center" valign="top">1.22</td>
<td align="center" valign="top">1.91</td>
<td align="center" valign="top">2.16</td>
<td align="center" valign="top">0.12</td>
</tr>
<tr>
<td align="left" valign="top">Indirect effects</td>
<td align="center" valign="top">6.38</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">7.11</td>
<td align="center" valign="top">0.62</td>
<td align="center" valign="top">3.98</td>
<td align="center" valign="top">0.40</td>
<td align="center" valign="top">1.89</td>
<td align="center" valign="top">17.10</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">Moderating effects</td>
<td align="center" valign="top">5.07</td>
<td align="center" valign="top">0.70</td>
<td align="center" valign="top">3.98</td>
<td align="center" valign="top">0.59</td>
<td align="center" valign="top">3.38</td>
<td align="center" valign="top">0.41</td>
<td align="center" valign="top">1.76</td>
<td align="center" valign="top">4.71</td>
<td align="center" valign="top">0.01</td>
</tr>
<tr>
<td align="left" valign="top">Feedback loops</td>
<td align="center" valign="top">0.21</td>
<td align="center" valign="top">0.08</td>
<td align="center" valign="top">0.22</td>
<td align="center" valign="top">0.06</td>
<td align="center" valign="top">0.15</td>
<td align="center" valign="top">0.06</td>
<td align="center" valign="top">1.56</td>
<td align="center" valign="top">0.53</td>
<td align="center" valign="top">0.54</td>
</tr>
<tr>
<td align="left" valign="top">Number of nodes</td>
<td align="center" valign="top">9.35</td>
<td align="center" valign="top">0.23</td>
<td align="center" valign="top">9.15</td>
<td align="center" valign="top">0.21</td>
<td align="center" valign="top">8.66</td>
<td align="center" valign="top">0.25</td>
<td align="center" valign="top">1.93</td>
<td align="center" valign="top">7.40</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">Number of edges</td>
<td align="center" valign="top">14.60</td>
<td align="center" valign="top">0.71</td>
<td align="center" valign="top">13.12</td>
<td align="center" valign="top">0.57</td>
<td align="center" valign="top">12.34</td>
<td align="center" valign="top">0.59</td>
<td align="center" valign="top">1.81</td>
<td align="center" valign="top">10.56</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Nodes (the components) and Edges (the lines) are provided as well.</p>
</table-wrap-foot>
</table-wrap>
<p>The ANOVA indicate several significant statistical model terms. We will discuss these terms and the trends indicated by the means. The number of components and connections went down as time progressed. This indicates that the models were getting relatively simpler. The number of drivers, receivers, and ordinary variables were variable over time with the number of drivers and receivers being less in the final model and ordinary variables being more. This means that with the reduction of model terms, the students changed how they modeled to indicate less components that are affected in all aspects of the system (imagine a wagon wheel with a central component driving several outcomes or being affected by everything depending on arrow direction). Such a change should and did indicate a difference in how components and lines were represented as motifs.</p>
<p>The micro-motif data indicate a decrease in overall number of each type of motif represented. This is not surprising given the decline in model complexity over time. In general students tended to model most the second and third level of sophistication in representations. More specifically, students tended to represent effects (multiple, indirect, and moderating), which mean that students represented outcomes with drivers and receivers that were multiple mostly but also indirect. Bidirectionality, which is the simplest type of relationship and feedback loops, which are the most complex motif, were represented far less. Note that the students stayed at the same model sophistication levels throughout the semester.</p>
</sec>
<sec sec-type="discussion" id="sec9">
<title>Discussion</title>
<p>In summary, we found that model structure changed through time; mostly representing a reduction of components and relationships with time. In addition, we found that students tended to model at mid- level sophistication represented by the micro-motifs and that this did not change with time. Finally, we found no support that perspective-taking changed modeling structure in that there was little difference in that modeled between own side and other side.</p>
<p>These results have given us a guide for future directions. While we have evidence that taking multiple perspectives changes certain habits of mind (e.g., open-mindedness and intellectually humility, etc.) regarding how issues are presented and discussed outside of the modeling practice (forthcoming, authors et al.), it was clear that representing perspective did not change the sophistication level of the model being developed. This may not be surprising because we were measuring model counts as related to systems thinking and not the nature of the issue being represented. Analyzing model content on a more qualitative scale could yield more insight; though in our study, post-hoc inspection of the models did not indicate much variation in model terms being used (i.e., in terms of the up to 10 added components). Our approach (and subsequent analysis) to analyzing large groups of models, however, have given us a target for how the cases might be restructured to encourage thinking about feedback loops, which we argue are critical to student understanding of how complex systems yield indirect, emergent, and often uncertain outcomes. The latter of which is critical for issue decision making, which may present a greater challenge to one&#x2019;s moral imperatives and therefore, would allow us to measure perspective taking akin to the levels described in <xref ref-type="bibr" rid="ref23">Kahn and Zeidler (2019)</xref>.</p>
<p>Given that feedbacks/feedback loops represent the highest level of system representation, we sought to understand more about how our work fits with data from projects featuring these loops. Feedback loops have long been seen as critical to systems thinking (e.g., <xref ref-type="bibr" rid="ref32">Stave and Hopper, 2007</xref>). Much like our approach described above, <xref ref-type="bibr" rid="ref4">Cabrera et al. (2015)</xref> have divided systems thinking as a compendium of distinctions of what is being modeled (i.e., outcome-related elements), and of the parts and wholes (i.e., the components and the mechanisms within) and then the represented relationships, which are associated with actions and reactions. The latter, two we argue, target the critical value of feedback loops and how they might be taught. Certainly feedback loops have been found to be somewhat difficult for learners (e.g., from elementary students; <xref ref-type="bibr" rid="ref19">Hokayem, 2012</xref>) to undergraduate students (<xref ref-type="bibr" rid="ref20">Hokayem et al., 2014</xref>). While students were able to represent cycles when prompted (<xref ref-type="bibr" rid="ref9001">Green, 1997</xref>), feedback loops remain difficult (<xref ref-type="bibr" rid="ref37">Wellmanns and Schmiemann, 2022</xref>). Clearly, more scaffolding in this area is necessary.</p>
<p>While perspective taking, as structured in our case study and assignment, did not result in different model structures in taking side, it remains to be determined if taking perspective could change model practice in a different way. If, perspective taking can result in the reduction of biased information being used and represented and in the increase of creative solutions, then perhaps case studies that provide components beyond normatively accepted elements might result in change of information selection and representation over time? In addition, if the students were subsequently encouraged to represent scenarios (i.e., outcomes related to what is represented in the model but allowing students to change the strength of influence of what is represented), then might student creativity be an outcome that increases with time. Of course, we did not measure creativity in the study described above so this remains speculative.</p>
<p>Future directions include adding scenario building and measuring model relations as sophistication of content (versus structure described above). Additionally, and to truly understand the role of perspective taking, we plan to investigate differences in models from those who did not participate in both sides but rather modeled their own side only. We are confident, however, that our data provide support that our intervention is a viable means by which life science classes can present and measure model building to support systems thinking instruction. More data are necessary, however, to determine the extent to which our intervention can increase sophistication of systems representation beyond what we have shared above.</p>
</sec>
<sec sec-type="data-availability" id="sec10">
<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="sec11">
<title>Ethics statement</title>
<p>The studies involving humans were approved by Michigan State Institutional Review Board. The studies were conducted in accordance with the local legislation and institutional requirements. The participants provided their written informed consent to participate in this study.</p>
</sec>
<sec sec-type="author-contributions" id="sec12">
<title>Author contributions</title>
<p>RJ and AS: writing. SG: model tool development. AB-P: data analysis. CF and JJ: research tool development. PB, MS, and JP: case study development. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec sec-type="funding-information" id="sec13">
<title>Funding</title>
<p>This work was funded by the Heterodox Foundation and the National Science Foundation (proposal no. 2111406/2111065).</p>
</sec>
<ack>
<p>The authors acknowledge the many students and instructors who participated in this work.</p>
</ack>
<sec sec-type="COI-statement" id="sec14">
<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 id="sec100" sec-type="disclaimer">
<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="sec15">
<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.2023.1215436/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/feduc.2023.1215436/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<fn-group>
<fn id="fn0001"><p><sup>1</sup><ext-link xlink:href="http://www.mentalmodeler.org/" ext-link-type="uri">http://www.mentalmodeler.org/</ext-link></p>
</fn>
</fn-group>
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