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Rabideau, M.; Starnes, A. – PRIMUS, 2023
In this paper, we study how well SAT scores, high school GPA, and undergraduate precalculus grades relate to undergraduate calculus grades at a 4-year private nonprofit university that does not have a placement exam. In addition, we compare the success in calculus of two groups of students, both of whom require two semesters to pass calculus. The…
Descriptors: Predictor Variables, College Entrance Examinations, Grade Point Average, High Schools
Glassmeyer, David – PRIMUS, 2023
This article presents a task providing college students opportunities to build on their high school knowledge of trigonometry to explore parametric equations and inverse trigonometric relationships within a contextual learning ladder problem.
Descriptors: Trigonometry, Equations (Mathematics), College Students, High Schools
Álvarez, James A. M.; Kercher, Andrew; Turner, Kyle; Arnold, Elizabeth G.; Burroughs, Elizabeth A.; Fulton, Elizabeth W. – PRIMUS, 2022
We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge advanced mathematics concepts to…
Descriptors: College Mathematics, Undergraduate Study, Mathematics Instruction, Algebra
Fulton, Elizabeth W.; Arnold, Elizabeth G.; Burroughs, Elizabeth A.; Álvarez, James A. M.; Kercher, Andrew; Turner, Kyle – PRIMUS, 2022
This paper introduces lessons designed to incorporate applications to teaching high school mathematics in an undergraduate Discrete Mathematics course. Because many prospective high school teachers do not take courses that are specifically designed for teachers, providing materials aimed at teacher preparation that can be easily integrated into…
Descriptors: High Schools, Secondary School Mathematics, Mathematics Instruction, Undergraduate Study
Osborne, Jason M.; Cook, William; Bossé, Michael J. – PRIMUS, 2021
In this paper we introduce the reader to a foundational topic of differential geometry: the curvature of a curve. To make this topic engaging to a wide audience of readers, we develop this intuitive introduction employing only basic geometry without calculus and derivatives. It is hoped that this introduction will encourage many more to both…
Descriptors: Mathematics Instruction, Geometry, Geometric Concepts, High Schools
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