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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

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

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

Lucas, Timothy A.; Spivey, Joseph – PRIMUS, 2011

In the Spring of 2007, a group of highly motivated mathematics graduate students conducted a review of Duke's Calculus curriculum. They focused on two main problems. The first problem is the result of a very positive trend: a growing number of students are earning AP credit for Calculus I in high school. However, this results in Calculus II…

Descriptors: Mathematics Curriculum, Graduate Students, Advanced Placement, Calculus

Fitchett, Stephanie; King, Kristin; Champion, Joseph – PRIMUS, 2011

The mathematics placement process at the University of Northern Colorado includes brief faculty-student interviews, during which faculty members suggest mathematics courses for students in their first year at the university. Data from a sample of 1466 students admitted in the fall of 2007 were analyzed to assess the effectiveness of the placement…

Descriptors: Student Placement, Grade Point Average, Mathematics Instruction, College Mathematics

Turner, Peter R. – PRIMUS, 2008

In this article we discuss an approach to the critical problem of student retention and the high school-college transition. The context of the discussion is centered on science and engineering students for whom calculus in the first year in college is an essential requirement for on-time graduation. This transition/retention problem has become…

Descriptors: Summer Programs, Diagnostic Tests, Calculus, Academic Persistence

Chin, Cynthia E. – PRIMUS, 2007

The history of Fermat's Last Theorem, recounted in the theatrical piece "Fermat's Last Tango," is a useful vehicle for introducing students to the variety of personalities, processes, and products involved in advanced mathematical investigation. The musical's accessible, informative, and positive portrayal of mathematicians and their work is…

Descriptors: High School Students, Teaching Methods, Mathematics Instruction, Mathematical Concepts

Munakata, Mika – PRIMUS, 2005

This article describes the Field Trip Assignment, which was developed for a mathematics modeling course for prospective teachers. The objective of the assignment was to motivate students to make connections between mathematics and real-life phenomena while considering how to make those connections explicit to their future students. For the Field…

Descriptors: Field Trips, Mathematics Instruction, Teaching Methods, Relevance (Education)