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Bieda, Kristen N.; Visnawathan, Aditya; McCrory, Raven; Sikorskii, Pavel – PRIMUS, 2020

Preparing students placing into developmental mathematics for success in undergraduate mathematics and preparing future teachers for the increasing demands of K-12 school settings are both persistent, yet seemingly divergent, problems facing higher education. In this paper, we shed light on a model that attempts to address aspects of each problem…

Descriptors: Models, Remedial Instruction, Mathematics Instruction, Mathematics Teachers

Bliss, Karen M.; Galluzzo, Benjamin J.; Kavanagh, Kathleen R.; Skufa, Joseph D. – PRIMUS, 2019

To promote and facilitate the teaching of math modeling throughout the K-16 setting, the Consortium for Mathematics and Its Applications and the Society for Industrial and Applied Mathematics recently published the GAIMME (Guidelines for Assessment and Instruction in Mathematical Modeling Education) Report. This paper provides insight into how the…

Descriptors: Mathematical Models, Undergraduate Study, Mathematics Instruction, Elementary Secondary Education

Wasserman, Nicholas H. – PRIMUS, 2014

Algebraic structures are a necessary aspect of algebraic thinking for K-12 students and teachers. An approach for introducing the algebraic structure of groups and fields through the arithmetic properties required for solving simple equations is summarized; the collective (not individual) importance of these axioms as a foundation for algebraic…

Descriptors: Mathematics Instruction, College Mathematics, Algebra, Problem Solving

Barrett, Lida K.; Long, B. Vena – PRIMUS, 2012

Constructivism is currently a hotly debated topic, with proponents and opponents equally adamant and emotional with respect to their viewpoints. Many misconceptions exist on both sides of the debate, and misuses of terminology and attribution are rampant. Constructivism is a theory of learning, not a particular approach to instruction and not a…

Descriptors: Constructivism (Learning), Elementary Secondary Education, Misconceptions, College Mathematics

Bosse, Michael J.; Ries, Heather; Chandler, Kayla – PRIMUS, 2012

Secondary school mathematics teachers often need to answer the "Why do we do that?" question in such a way that avoids confusion and evokes student interest. Understanding the properties of number systems can provide an avenue to better grasp algebraic structures, which in turn builds students' conceptual knowledge of secondary mathematics. This…

Descriptors: Algebra, Number Systems, Secondary School Mathematics, Elementary School Mathematics

Lesser, Lawrence M.; Guthrie, Joe A. – PRIMUS, 2012

Undergraduate students who are pre-service teachers need to make connections between the college mathematics they are learning and the pre-college mathematics they will be teaching. Spanning a broad range of undergraduate curricula, this article describes useful lesser-known connections, explorations, and original proofs involving fractions. In…

Descriptors: Calculus, Mathematics Instruction, College Mathematics, Undergraduate Students

Miller, Nathaniel – PRIMUS, 2006

In this paper, I will discuss two related activities that I have developed for use in a college geometry course directed at pre-service secondary and elementary school teachers. These activities ask students to develop geometry on pool tables and on cones. The two activities are closely related, and both ask students to relate computer models with…

Descriptors: Elementary School Teachers, Geometry, Secondary School Teachers, Elementary School Mathematics

Billings, Esther; Schlicker, Steven; Novotny, Karen; Tefera, Akalu – PRIMUS, 2004

The Departments of Mathematics and Statistics at Grand Valley State University are engaged in a project to address the mathematical preparation of all its majors, including prospective elementary and secondary mathematics teachers. In this article, we describe how the mathematics and mathematics education faculty in our mathematics department…

Descriptors: Majors (Students), Mathematics Education, Learning Motivation, Mathematical Concepts