United States

We have administered diagnostic tests covering pre-college mathematics to over 6700 introductory physics students at four state universities, with largely consistent results. Key findings include: (1) Use of symbols to replace numbers in otherwise identical algebraic equations significantly lowered correct-response rates, implying that instructors may want to be more cautious when employing symbolic manipulations; (2) Few physics students solved algebraic equations by “isolating the unknown variable,” implying that instructors’ standard and habitual approach to algebraic manipulation may appear confusing, and should be modified or better scaffolded; (3) Class-average scores on even a single diagnostic test item were highly predictive of average scores on other items covering varied topics, suggesting it may be possible to diagnose the level of students’ difficulties with very few pretest items; (4) During interviews, students tended to self-correct approximately 60% of their initial errors, suggesting that instruction on self-checking strategies may offer disproportionately high returns.

AAPT SM 21

Instructional implications of findings on students’ mathematics difficulties

problem-solving

mathematics

introductory

physics

reasoning

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technical paper

In this talk, we qualitatively analyze physics majors’ identity development as they transfer from a community college to a four-year university. Students in the study attend a large, public four-year university in which a significant fraction of undergraduate physics majors are transfer students. Research participants had previously enrolled in a required 1-credit introduction to the physics major course designed to cultivate community and identity, as well as foster a broad set of physics-related skills. In one-on-one interviews, students discussed their academic and personal experiences before, during, and after their transition from community college to a four-year university. In this talk, we will discuss how their academic and personal experiences as well as their interactions with physics community members shaped their identity development as physics students. We then consider implications for building institutional supports for physics transfer students.

Research on Identity Development Among Physics Transfer Students

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Impact of mathematical rigor on students’ understanding of quantum optics

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Evolution in student conceptual understanding of electricity and magnetism

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Rubrics to Teach Problem-Solving Strategies in Large Enrollment Online Courses

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Seeking coherence and switching reasoning after forgetting an equation

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Resolving Inconsistencies in E&M by Seeking Coherence Between Physical/Mathematical Reasoning

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Student difficulties identifying diagonal operators for degenerate perturbation theory

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Instructional implications of findings on students’ mathematics difficulties

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