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  1. A study conducted by the Mathematical Association of America showed that calculus not only has significant effects on students’ decision to pursue STEM fields, but also on their attitudes towards mathematics. Inspired by this large-scale study, the present study sought to deepen the current understanding of the impact of calculus on student attitudes towards mathematics. Results of an implementation of the Modeling Practices in Calculus (MPC) model, an innovative active learning in mathematics (ALM) approach, in Calculus I at a large, urban, research intensive (R1) institution are presented. Using a randomized-control trial research design, stu- dents were randomly assigned to either traditional, lecture-based classrooms, or MPC classrooms. The Attitudes Towards Mathematics Inventory (ATMI) was used to measure student attitudes at the begin- ning and end of the course and results were compared from both MPC and traditional sections. Overall, MPC sections showed improve- ment over traditional instruction by having less negative impact on student attitudes. The enjoyment and self-confidence ATMI sub- scales showed significant differences at course completion for both semesters, when controlling for pre-ATMI score and term. Further- more, the MPC model had a positive impact on female students’ self-confidence as opposed to male students, acting as a gender equalizer. 
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  2. null (Ed.)
    To address the longstanding problem of underrepresentation of women in physics, we developed two classroom interventions that encourage womens' future physics intentions. In testing these lessons in a larger study, we found variance in gains between student sub-populations across several teachers. This prompted the current mixed methods analysis to follow up on potential contextual factors leading to these differences, including social and economic setting of the school and student population characteristics, as well as teacher-level effects. We drew upon multiple sources of data collected from both teachers and students including teacher interviews, teacher and student open response surveys, and student artifacts from the lessons. In our preliminary analysis, we found that the broader social and economic environments did not appear to affect how students received the lessons; however, individual teacher implementation of the lessons did. 
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  3. As part of the STEP UP 4 Women project, a national initiative to empower high school teachers to recruit women to pursue physics degrees in college, we developed two lessons for high school physics classes that are intended to facilitate the physics identity development of female students. One discusses physics careers and links to students' own values and goals; the other focuses on a discussion of underrepresentation of women in physics with the intention of having students elicit and examine stereotypes in physics. In piloting these lessons, we found statistically significant improvements in students' identities, particularly recognition beliefs (feeling recognized by others as a physics person) and beliefs in a future physics career. Moreover, female students have larger gains than male students in future beliefs (seeing themselves as physicists in the future) from both lessons, which makes it promising to contribute to alleviating the underrepresentation of women in physics. Using structural equation modeling, we test a path model of various physics identity constructs, extending an earlier, established model. In this paper, we also compare a preliminary structural analysis of students' physics identities before and after the career lesson, with an eye towards understanding how students' identities develop over time and due to these experiences. 
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  4. Abstract

    While there is a growing body of work that examines disciplinary identity development, unlike qualitative work in this area, quantitative research has not fully incorporated the importance of different contexts, nor has it uniquely focused on underrepresented groups (in this case, women in physics). This study examines how the constructs posited by prior work as important for physics identity, as well as an additional theorized construct, may interrelate and affect female students' physics identity differently depending on the context. Context in this study refers to two different experiential levels in college. The constructs examined include performance/competence, recognition, and interest, as well as sense of belonging. In particular, we used structural equation modeling to examine the effect that these constructs have on the physics identity of two groups of female physics undergraduates: first year students and senior year students. The results reveal that the relationship of the theorized constructs with physics identity vary between the two groups as well as compared to prior research with broad college student populations (not just physics majors). Unlike broad college student populations, for our sample of female physics undergraduates, interest did not have a direct effect on physics identity while sense of belonging was significant only for senior year students. These results exemplify the importance of examining context or different types of student experiences when studying disciplinary identity development rather than generalizing previous frameworks to all contexts.

     
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