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Branson, Mark – PRIMUS, 2019

Mathematics has a unique and powerful role to play in the teaching of social justice issues. There is substantial quantitative evidence for social injustice, but many citizens lack the quantitative skills to understand that evidence. A course in quantitative literacy is a unique opportunity to provide this quantitative understanding to a wide…

Descriptors: Mathematics Instruction, Social Problems, Social Justice, Interdisciplinary Approach

O'Donovan, Barbara; Geary, Krisan – PRIMUS, 2019

Income inequality is a central social justice concern, and hence excellent motivation for real-world applications in mathematics classrooms at every level. We describe the "Mathematics for Social Justice" course at Saint Michael's College, giving a specific example of one of the typical social justice projects for the course, and showing…

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

Unfried, Alana; Canner, Judith – PRIMUS, 2019

Many students experience mathematics as a neutral entity, without understanding its impact on social justice and equity. Students must understand that mathematics and statistics are powerful tools for creating social change, and that students themselves are capable to enact positive social change through their mathematical abilities. In this…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Social Justice

Anderson, Marlow; Hollings, Christopher; Wilson, Robin – PRIMUS, 2019

History of mathematics courses based on original source materials are becoming increasingly common. However, are they more suitable for particular types of students? Here we compare two such upper-level courses, with a similar structure and using the same textbook, taken by liberal arts students at Colorado College and mathematics specialists at…

Descriptors: Mathematics Instruction, College Mathematics, History, Foreign Countries

Melkonian, Vardges – PRIMUS, 2019

This paper discusses a game that can be used for introducing the binary representation of integers in an interactive and fun environment. The game is introduced in the way it is presented in an undergraduate Discrete Mathematics class. Variations of the game are discussed, particularly its extension to base-three representation of integers. It is…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Educational Games

McCune, David; McCune, Lori – PRIMUS, 2019

This article presents a project that is meant to deepen student understanding of what it would mean for one preference voting method to be "better" than another. In the project we show the students how to rigorously compare the methods of plurality and plurality with elimination, and we then allow them to compare two other voting methods…

Descriptors: Voting, Preferences, Student Attitudes, Evaluation Criteria

Soto-Johnson, Hortensia; Hancock, Brent – PRIMUS, 2019

Although students may develop extensive geometric intuition about derivatives during calculus, many complex analysis texts avoid geometric connections between the real and complex derivative. In this report, we discuss our implementation of, and student responses to, a Geometer's Sketchpad lab that was informed by mathematics education research.…

Descriptors: Mathematics Instruction, College Mathematics, Geometric Concepts, Educational Technology

Collins, J. B.; Harsy, Amanda; Hart, Jarod; Haymaker, Katie Anne; Hoofnagle, Alyssa Marie; Janssen, Mike Kuyper; Stewart Kelly, Jessica; Mohr, Austin Tyler; OShaughnessy, Jessica – PRIMUS, 2019

Mastery-based testing is an assessment scheme that challenges students to provide complete solutions to problems derived from clear course concepts. Students are allowed multiple attempts to demonstrate mastery, which helps create a classroom environment where students value persistence toward thorough understanding. In this paper, we describe in…

Descriptors: Mastery Tests, Mathematics Tests, College Mathematics, Undergraduate Students

Breen, Sinéad; O'Shea, Ann – PRIMUS, 2019

Research has shown that the types of tasks assigned to students affect their learning. Various authors have described desirable features of mathematical tasks or of the activity they initiate. Others have suggested task taxonomies that might be used in classifying mathematical tasks. Drawing on this literature, we propose a set of task types that…

Descriptors: Undergraduate Students, Mathematics Instruction, College Mathematics, Learning Activities

Morena, Matthew A.; Smith, Shelly; Talbert, Robert – PRIMUS, 2019

We describe the use of student-generated video content to assess students' engagement with, and understanding of, problem-solving skills. In this framework, students are tasked with using technology to create videos that show them working through, and explaining solutions to, challenging calculus exercises. The videos are then posted online,…

Descriptors: Video Technology, Problem Solving, Calculus, Mathematics Instruction

Martin, Taylor E. – PRIMUS, 2019

My goal in crafting homework in calculus is twofold: to provide scaffolding for students to develop a theoretical understanding of calculus concepts and to incorporate good mathematical exposition, including justification and proof when appropriate. I achieve these goals by creating weekly homework sets that students work on in groups of three or…

Descriptors: Calculus, Homework, Mathematics Instruction, Mathematical Concepts

Holdener, Judy A.; Jones, Brian D. – PRIMUS, 2019

Storytelling has proved to be an effective way of passing on information from one generation to the next. Whether the information relates to history, culture, health, or morality, the story provides a framework so that complex ideas can be better understood and retained. In this article, we consider the role of narrative in the design and…

Descriptors: Calculus, Homework, Mathematics Instruction, Story Telling

Gerstle, Kevin – PRIMUS, 2019

At the college level, it can be difficult to engage students outside the classroom through the use of effective homework assignments. Although it is straightforward to create assignments that test the ability to carry out computations as discussed in class, it is more challenging to create assignments that encourage students to think more…

Descriptors: College Mathematics, Mathematics Instruction, Assignments, Creative Thinking

Omar, Mohamed; Karakok, Gulden; Savic, Milos; El Turkey, Houssein; Tang, Gail – PRIMUS, 2019

Challenging mathematics problems were posed as a substantial part of homework in an elective combinatorics course. The intent was to encourage undergraduate students' exploration as well as develop their technical writing skills. The bulk of students' grades on these problems rested on a three-page reflective write-up using a rubric on…

Descriptors: Mathematics Instruction, Undergraduate Students, Creativity, Student Attitudes

Klima, V. – PRIMUS, 2019

As teachers of mathematics we encourage our students to ask good questions, and we strive to help our students find and understand answers to these questions. This journey can be made more meaningful if students conclude by reflecting on their learning process. If we find careful questioning and reflection important, we should include such…

Descriptors: Homework, Mathematics Instruction, College Mathematics, Color