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Flórez, Rigoberto; Mukherjee, Antara – PRIMUS, 2020
We describe some classic experiments on the Möbius strip, the projective plane band, and the Klein bottle band. We present our experience with freshmen college students, college teachers, high school students, and Mathematics Education graduate students. These experiments are designed to encourage readers to learn more about the properties of the…
Descriptors: Mathematics Instruction, College Mathematics, Secondary School Mathematics, Undergraduate Study
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Champion, Joe; Mesa, Vilma – PRIMUS, 2018
In this paper, we present findings from a preliminary analysis of transcript data in the High School Longitudinal Study (HSLS:09), a large-scale longitudinal investigation of academic achievement among U.S. high school students. Using proportional flow diagrams of course-taking patterns, we illustrate differences in calculus completion associated…
Descriptors: Calculus, Mathematics Instruction, Longitudinal Studies, High School Students
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belcastro, sarah-marie – PRIMUS, 2017
We delineate some types of structured practice (modeling, requests, feedback, and space-making) that help students learn to pose appropriate questions and to initiate exploration of those questions. Developing skills requires practice, so we suggest ways to embed structured practice into existing class sessions. Including structured practice is…
Descriptors: Mathematics Instruction, Advanced Placement Programs, Academically Gifted, High School Students
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Worthley, Mary R.; Gloeckner, Gene W.; Kennedy, Paul A. – PRIMUS, 2016
In this study we aimed to understand who was struggling in freshman calculus courses, and why. Concentrating on the Fall sections of the class, the best predictors for success (R[superscript 2] = 0.4) were placement test results, the student's own appraisal of the quality of mathematics teaching they received in high school, and the Motivated…
Descriptors: Mixed Methods Research, Calculus, College Freshmen, College Mathematics