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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

Dwyer, Dave; Gruenwald, Mark; Stickles, Joe; Axtell, Mike – PRIMUS, 2018

Resequencing Calculus is a project that has reordered the typical delivery of Calculus material to better serve the needs of STEM majors. Funded twice by the National Science Foundation, this project has produced a three-semester textbook that has been piloted at numerous institutions, large and small, public and private. This paper describes the…

Descriptors: Undergraduate Students, STEM Education, Majors (Students), Calculus

Schroeder, Larissa Bucchi; McGivney-Burelle, Jean; Haruta, Mako E.; Xue, Fei – PRIMUS, 2018

At the University of Hartford we transformed our approach to Calculus I--moving it away from a lecture-dominant format to one that focuses squarely on students solving problems and discussing and presenting their mathematical ideas for the majority of class time. In this article, we discuss our Flipping Calculus project and how a departmental…

Descriptors: College Mathematics, Calculus, Mathematics Curriculum, Curriculum Development

Cook, S. A.; Hartman, J.; Pierce, P. B.; Seaders, N. S. – PRIMUS, 2017

As mathematics educators we want our students to develop a natural curiosity that will lead them on the path toward solving problems in a changing world, in fields that perhaps do not even exist today. Here we present student projects, adaptable for several mid- and upper-level mathematics courses, that require students to formulate their own…

Descriptors: Mathematics, Mathematics Teachers, Algebra, Problem Solving

Pudwell, Lara – PRIMUS, 2017

In this paper, we discuss the Experimental Mathematics course taught at Valparaiso University since 2009. We focus on aspects of the course that facilitate students' abilities to ask and explore their own research questions.

Descriptors: Inquiry, Mathematics, Mathematics Instruction, Mathematics Education

Wasserman, Nicholas H.; Fukawa-Connelly, Timothy; Villanueva, Matthew; Mejia-Ramos, Juan Pablo; Weber, Keith – PRIMUS, 2017

Future teachers often claim that advanced undergraduate courses, even those that attempt to connect to school mathematics, are not useful for their teaching. This paper proposes a new way of designing advanced undergraduate content courses for secondary teachers. The model involves beginning with an analysis of the curriculum and practices of…

Descriptors: Secondary School Teachers, Undergraduate Study, Mathematics Instruction, Teacher Education Programs

Razzaghi, Mehdi – PRIMUS, 2017

Undergraduate research has become the centerpiece of many institutions of higher education's efforts to attract and recruit high school graduates. Since 1987, throughout my tenure at Bloomsburg University, I have involved over 20 students in my research. In my experience, there is clear evidence that students of mathematics substantially benefit…

Descriptors: Undergraduate Students, Research Projects, Student Research, Mathematics Curriculum

Rufatto, Robin; Dickin, Holly; Florescu, Alina; Lorch, Crystal; Bremigan, Ralph; Lorch, John – PRIMUS, 2016

We discuss the pedagogical redesign of a liberal arts mathematics course that enrolls roughly 3000 students per year. Flipping the classroom is a prominent feature of the new pedagogical approach. We describe the nature of this redesign, course resources, and how students are assessed for both preparation and understanding. We also indicate how…

Descriptors: Liberal Arts, Mathematics Activities, Mathematics Curriculum, Student Centered Learning

Chabrán, H. Rafael; Kozek, Mark – PRIMUS, 2016

We describe our team-taught, interdisciplinary course "Numb3rs in Lett3rs & Fi1ms: Mathematics in Literature and Cinema," which explores mathematics in the context of modern literature and cinema. Our goal with this course is to advance collaborations between mathematics and the written/theatre-based creative arts.

Descriptors: Interdisciplinary Approach, Mathematics Curriculum, Literature, Films

Rash, Agnes M.; Fillebrown, Sandra – PRIMUS, 2016

This article describes various courses designed to incorporate mathematical proofs into courses for non-math and non-science majors. These courses, nicknamed "math beauty" courses, are designed to discuss one topic in-depth rather than to introduce many topics at a superficial level. A variety of courses, each requiring students to…

Descriptors: Mathematics Curriculum, General Education, Mathematics Instruction, Mathematics Education

Carter, John – PRIMUS, 2014

This article presents two approaches to using original sources in a capstone writing project for a History of Mathematics course. One approach involves searching local libraries and is best suited to schools in metropolitan areas. A second approach involves online resources available anywhere. Both projects were used in a course intended for…

Descriptors: Mathematics Education, Writing Exercises, Primary Sources, Library Materials

Mills, Mark A. – PRIMUS, 2014

The article provides details of the process of starting an actuarial science major at a small, liberal arts college. Some critique of the major is included, as well as some challenges that may be faced by others wanting to start such a major at their institution.

Descriptors: Majors (Students), Liberal Arts, Risk Assessment, Program Development

Shifflet, Daniel R. – PRIMUS, 2013

In this paper we discuss why a senior capstone course is the perfect setting to reward graduating seniors with some of the more fun and interesting aspects of advanced mathematics. We provide a beginner's list of topics to consider as well as a method of implementing these tidbits outside of the classroom if time is an issue.

Descriptors: Mathematics Curriculum, College Mathematics, Teaching Methods, College Seniors

Rash, Agnes; Weld, Kathryn – PRIMUS, 2013

In this introduction to the Special Issue on Capstone Courses we describe a range of models for the capstone course, common goals for these different courses, popular teaching methods, the use of capstone courses in program assessment, and issues related to course maintenance and faculty development.

Descriptors: Mathematics Instruction, Mathematics Curriculum, Course Content, Curriculum Design

Camenga, Kristin A. – PRIMUS, 2013

We discuss a mathematics capstone course designed to help students grow in mathematical independence. We describe how the course is structured to support this goal and the major assignments: a course wiki, a group expository project, and an individual problem to solve and extend. Students learn to ask and answer their own questions, helping them…

Descriptors: Mathematics Instruction, College Mathematics, Mathematics Skills, Mathematics Curriculum