Critical, Intersectional, Quantitative Analyses of Instructional Practices and Changes in Undergraduate Students’ Math Affect

IF 1.2 Q2 EDUCATION & EDUCATIONAL RESEARCH
Naneh Apkarian, Matthew Voigt, Jessica Ellis Hagman, Rachel Tremaine, Ciera Street, Antonio E. Martinez, Jason Guglielmo
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Abstract

As interest in the implementation of active learning practices grows, so too does the body of literature illustrating negative experiences of these practices among some populations of students. These trends necessitate a critical inquiry into how students with identities that are traditionally marginalized in mathematical spaces differentially experience active learning practices. We leverage critical quantitative theories to analyze how shifts in precalculus and calculus students’ math affect are mediated by intersectional race-gender identities and the active learning instructional practices of math engagement, peer collaboration, instructor inquiry, and participation. Drawing on a dataset of over 30,000 U.S. student survey responses, we found that experiencing high levels of all four practices increased math affect for all student identity groups in our dataset. Considering each individual practice revealed variation of students’ affective changes based on race-gender identities, such that not every individual practice benefited every student identity group. These findings emphasize the value in promoting the collective high use of multiple active learning practices, coupled with more in-depth understandings and attention to how these individual practices can differentially impact students.

Abstract Image

对教学实践和本科生数学学习效果变化的批判性、交叉性和定量分析
随着人们对实施主动学习实践的兴趣与日俱增,说明一些学生群体在这些实践中的负面体验的文献也越来越多。鉴于这些趋势,我们有必要对传统上在数学领域被边缘化的学生在主动学习实践中的不同体验进行批判性探究。我们利用批判性定量理论来分析微积分和微积分预科学生数学情感的转变如何受到种族-性别交叉身份以及数学参与、同伴合作、教师探究和参与等主动学习教学实践的影响。通过对超过 30,000 份美国学生调查问卷的数据集进行分析,我们发现,对于我们数据集中的所有学生身份群体而言,体验到高水平的所有四种实践都会增加他们的数学情感。考虑到每种单独的练习,我们发现学生的情感变化因种族-性别身份而异,因此并非每种单独的练习都能使每个身份群体的学生受益。这些发现强调了促进集体大量使用多种主动学习实践的价值,以及更深入地了解和关注这些个别实践如何对学生产生不同影响。
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来源期刊
CiteScore
2.90
自引率
20.00%
发文量
41
期刊介绍: The International Journal of Research in Undergraduate Mathematics Education is dedicated to the interests of post secondary mathematics learning and teaching. It welcomes original research, including empirical, theoretical, and methodological reports of learning and teaching of undergraduate and graduate students.The journal contains insights on mathematics education from introductory courses such as calculus to higher level courses such as linear algebra, all the way through advanced courses in analysis and abstract algebra. It is also a venue for research that focuses on graduate level mathematics teaching and learning as well as research that examines how mathematicians go about their professional practice. In addition, the journal is an outlet for the publication of mathematics education research conducted in other tertiary settings, such as technical and community colleges. It provides the intellectual foundation for improving university mathematics teaching and learning and it will address specific problems in the secondary-tertiary transition. The journal contains original research reports in post-secondary mathematics. Empirical reports must be theoretically and methodologically rigorous. Manuscripts describing theoretical and methodological advances are also welcome.
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