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Halperin, Alexander – PRIMUS, 2020

I describe the motivation, structure, implementation, and student feedback of my mastery-based testing (MBT) system with a significant final exam component in Calculus I and II since 2016. Grades for each written assignment, quiz, and exam question were assigned on a Mastery/Progressing/Needs Improvement (M/P/NI) scale. Homework and quizzes could…

Descriptors: Mastery Learning, Testing, Mathematics Tests, Calculus

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

Dunmyre, Justin R. – PRIMUS, 2019

In this paper, I present a homework system that supports a flipped classroom environment using only a textbook for students' first contact with the material. Motivated by David Pengelley's homework system, each unit of material has four key components: Core Assignments, Conceptual Assignments, In-class Worksheets, and Follow-up Assignments. The…

Descriptors: Educational Technology, Technology Uses in Education, Homework, Video Technology

OShaughnessy, J. – PRIMUS, 2019

This paper investigates the advantages of using a two-step homework system. First, technology is used to collect and grade traditional homework. Then, students are expected to present and explain problems from their assignments in class. Several versions of implementation are discussed for different course levels and sizes. Through these methods,…

Descriptors: Mathematics Instruction, College Mathematics, Homework, Educational Technology

McCune, Lori – PRIMUS, 2019

In the age of the internet, it is increasingly difficult to write homework assignments in a way that encourages students to struggle with a problem on their own without seeking answers from other sources. This is especially true in lower-level courses, where students often start with the attitude of "I can't do this." In this article, I…

Descriptors: Student Journals, Electronic Journals, Student Evaluation, Self Evaluation (Individuals)

Anderson, Jacqueline – PRIMUS, 2019

A common challenge among mathematics professors is to structure a course so that students are motivated to complete enough work to master the material without creating an unmanageable grading workload. We will discuss a strategy that the author devised to successfully confront this challenge (after many other failed attempts): using online surveys…

Descriptors: College Mathematics, College Students, Student Evaluation, Feedback (Response)

Jordan, Daniel R. – PRIMUS, 2019

Workshops can be a powerful tool to support students as they develop proof-writing skills. In a workshop, each student writes a proof, provides feedback on other students' work, and reflects on critiques from peers. Workshops can be used in any class that emphasizes writing proofs or other forms of mathematical writing. They are highly efficient…

Descriptors: Workshops, Mathematical Logic, Mathematics Skills, Mathematics Instruction

Garaschuk, Kseniya M.; Cytrynbaum, Eric N. – PRIMUS, 2019

Active learning techniques, such as peer instruction and group work, have been gaining a lot of traction in universities. Taking a natural next step in re-evaluating current practices, many institutions recently started experimenting student-centred group exams. In order to assess the feasibility and effectiveness of collaborative assessments, we…

Descriptors: Instructional Effectiveness, Mathematics Instruction, Group Testing, Group Activities

Trenholm, Sven; Peschke, Julie; Chinnappan, Mohan – PRIMUS, 2019

The use of fully online instruction has been proliferating in higher education. In undergraduate mathematics, arguments about the effectiveness of fully online instruction have been met with contrasting claims about its potential. Some assert that fully online instruction can promote a deeper and richer conceptual understanding of mathematical…

Descriptors: Undergraduate Students, Online Courses, Mathematics Instruction, College Mathematics