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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

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

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

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

Tawfeeq, Dante A. L. – PRIMUS, 2011

Teaching preparatory mathematics to first-time college students--who come from economically impoverished high schools that have not prepared their students to do college level mathematics--can be a daunting task for teaching assistants (TAs). The preparation of TAs to assist such students in the mastery of mathematical content is a complex…

Descriptors: Preservice Teacher Education, College Freshmen, Teaching Assistants, College Mathematics

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

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

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