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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

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

Yopp, David A. – PRIMUS, 2012

Considerable literature has documented both the pros and cons of students' use of empirical evidence during proving activities. This article presents an analysis of a classroom episode involving in-service middle school, high school, and college teachers that demonstrates that learners need not be steered away from empirical investigations during…

Descriptors: Persuasive Discourse, Geometry, Middle School Teachers, Secondary School Teachers

Santos-Trigo, Manuel; Barrera-Mora, Fernando – PRIMUS, 2011

The study documents the extent to which high school teachers reflect on their need to revise and extend their mathematical and practicing knowledge. In this context, teachers worked on a set of tasks as a part of an inquiring community that promoted the use of different computational tools in problem solving approaches. Results indicated that the…

Descriptors: High Schools, Problem Solving, Calculators, Secondary School Teachers

Koss, Lorelei – PRIMUS, 2011

We describe a set of manipulatives developed to help students learn three-dimensional Cartesian, cylindrical, and spherical coordinate systems. (Contains 6 figures.)

Descriptors: Manipulative Materials, Mathematics Instruction, Teaching Methods, Mathematical Concepts

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

Mittag, Kathleen Cage; Taylor, Sharon E. – PRIMUS, 2011

When thinking of models for sinusoidal waves, examples such as tides of the ocean, daily temperatures for one year in your town, light and sound waves, and certain types of motion are used. Many textbooks [1, p. 222] also present a "Ferris wheel description problem" for students to work. This activity takes the Ferris wheel problem out of the…

Descriptors: Mathematics Instruction, College Mathematics, Secondary School Mathematics, Teacher Education

Huntley, Mary Ann; Flores, Alfinio – PRIMUS, 2011

In this article, the authors describe how prospective secondary mathematics teachers designed their own adaptations of popular board and computer games to learn the history of mathematics. They begin the article by describing some of the games students designed and used, and follow this with a discussion of factors for successful use of games in…

Descriptors: Mathematics Instruction, Teaching Methods, Educational Games, History

Huntley, Mary Ann; Flores, Alfinio – PRIMUS, 2010

The authors describe ways in which a history of mathematics course can help prospective teachers of mathematics develop knowledge they will need for teaching. The types of knowledge include content knowledge of mathematics, knowledge of mathematics for teaching, and pedagogical knowledge.

Descriptors: Mathematics Teachers, Pedagogical Content Knowledge, Mathematics Instruction, Secondary School Mathematics

Winsor, Matthew S. – PRIMUS, 2009

This article describes the goals of a capstone course for secondary preservice mathematics teachers and how those goals are achieved. Moreover, student reaction to the course will be examined.

Descriptors: Mathematics Teachers, Preservice Teacher Education, Secondary School Mathematics, High Schools

Fine, Anne; Duggan, Mickle; Braddy, Linda – PRIMUS, 2009

Remediation of incoming college freshman students is a national concern because remediated students are at higher risk of failing to complete their degrees. Some Oklahoma higher education institutions are working to assist K-12 systems in finding ways to reduce the number of incoming college freshman students requiring remediation. This study…

Descriptors: High School Seniors, College Mathematics, Intervention, Program Effectiveness

Gieger, Judith Lynn – PRIMUS, 2007

One of the most publicly celebrated figures in mathematics teaching during the last century was Jaime Escalante (dramatized in the film "Stand and Deliver"). The Escalante story aptly fulfills three prevailing myths about effective teachers: the Teacher is self-made, the Teacher is the expert, and everything depends on the Teacher. These…

Descriptors: Teacher Effectiveness, Federal Legislation, Mythology, Mathematics Teachers

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)

Cullinane, Michael J. – PRIMUS, 2005

Mathematics majors' study of abstract algebra should provide these students with opportunities to connect what they are learning to their prior experiences with algebra in high school. This paper illustrates how such connections can be used to motivate the notion of binary operation and the axioms for a group.

Descriptors: High Schools, Algebra, Secondary School Mathematics, Correlation

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