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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

Childers, Annie Burns; Lu, Lianfang; Hairston, Joshua; Squires, Timothy – PRIMUS, 2021

This paper reports on mathematics remediation efforts at a public 4-year institution. Specifically, it describes redesign efforts that led to the implementation of co-requisite mathematics remediation. Data on this program were collected and analyzed with respect to completion rates, length of time to earn college mathematics credit, and factors…

Descriptors: Remedial Mathematics, College Students, Program Effectiveness, College Mathematics

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

Gordon, Sheldon P.; Gordon, Florence S. – PRIMUS, 2020

This article illustrates ways that dynamic software using some sophisticated techniques in Excel can be used to demonstrate fundamental ideas related to hypothesis testing to increase student understanding of the concepts and methods in elementary statistics courses. The article considers hypothesis tests for the population mean with large or…

Descriptors: Hypothesis Testing, Computer Software, Educational Technology, Technology Uses in Education

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

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

Madison, Bernard L.; Linde, Cassandra S.; Decker, Blake R.; Rigsby, E. Myron; Dingman, Shannon W.; Stegman, Charles E. – PRIMUS, 2015

A college mathematics placement test with 25 basic algebra items and 15 calculus readiness items was administered to 1572 high school seniors, and first college mathematics course grades were obtained for 319 of these students. Test results indicated that more than two thirds of the high school graduates were not college ready, and the test…

Descriptors: College Mathematics, Tests, Student Placement, High School Seniors

Denny, Jeffrey K.; Nelson, David G.; Zhao, Martin Q. – PRIMUS, 2012

In the mid-1990s, Mercer University's undergraduate schools placed incoming freshmen in their first mathematics course, using only their scores on the mathematics portion of the SAT (SATM). This placement policy was strongly supported by the admissions office because it did not require additional testing of the freshmen in their on-campus summer…

Descriptors: College Freshmen, College Mathematics, Institutional Research, Grade Point Average

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

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

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