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Rämö, Johanna; Lahdenperä, Juulia; Häsä, Jokke – PRIMUS, 2021

Over the past 9 years, we have implemented, developed, and refined a novel student-centered teaching method called Extreme Apprenticeship in university mathematics context. In this paper, we report the theoretical orientation behind the method, as well as its practical implementation. We also reflect on our experiences gained from using it in our…

Descriptors: College Mathematics, Mathematics Instruction, Teaching Methods, Student Centered Learning

Oliver, Jesús; Olkin, Julia – PRIMUS, 2021

This work outlines a model for creating momentum for active learning at the departmental level through a Community of Practice. This approach focuses on empowering members of the community by providing easy access to active learning tasks, pacing guide, and teaching tips for the course.

Descriptors: Mathematics Instruction, Active Learning, College Mathematics, Teaching Methods

Gruber, Sean; Rosca, Raluca I.; Chazan, Daniel; Fleming, Elizabeth; Balady, Steve; VanNetta, Catherine; Okoudjou, Kasso A. – PRIMUS, 2021

Addressed toward course coordinators and departmental leaders interested in redesigning an undergraduate mathematics course, we highlight the steps our team at the University of Maryland, College Park has taken in bringing active learning to our Precalculus course. We provide examples of ways in which we have coordinated active learning across…

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

Lange, Karin E.; Deiger, Megan; Bourque, Matthew; Tingley, Peter; Peters, Emily; Jordan, Laurie E.; Giaquinto, Anthony – PRIMUS, 2021

In the context of national collaborative efforts to increase the prevalence of active learning strategies in undergraduate precalculus and calculus classrooms, we discuss the context, strategy, and processes used at one university to create change within a mathematics department. We highlight the use of a unified active learning approach and the…

Descriptors: College Mathematics, Mathematics Instruction, Active Learning, Teaching Methods

Ksir, Amy E.; Allman, Justin M.; Hetherington, Noble, III.; Selbach-Allen, Megan E.; Skipper, Daphne – PRIMUS, 2021

Over the past 10 years, the authors of this paper have implemented a series of project-based and inquiry-based learning initiatives in the calculus sequence at our institution. These initiatives took place in a department with an existing strong culture supporting teaching innovation and improvement. In this paper, we describe three initiatives in…

Descriptors: Calculus, Mathematics Instruction, Inquiry, Teaching Methods

Miller, E.; Fowler, J.; Johns, C.; Johnson, J., Jr.; Ramsey, B.; Snapp, B. – PRIMUS, 2021

We discuss a decade of initiatives to improve the teaching and learning of calculus at The Ohio State University. Calculus at OSU is taught in lecture/recitation format with large lectures and is tightly coordinated, so all innovations had to occur within that framework. We show how many smaller projects built upon one another to create a larger…

Descriptors: Mathematics Instruction, Calculus, College Mathematics, Active Learning

Bennoun, Steve; Holm, Tara – PRIMUS, 2021

The Mathematics Department at Cornell University has recently secured a grant from the University to implement systemic change in how we teach courses that reach students at critical transition points in their mathematical development. In this article, we report on the changes made to our large multi-section first-semester calculus course in order…

Descriptors: Mathematics Instruction, Teaching Methods, Educational Change, Active Learning

Dunnigan, Gerri; Halcrow, Cheryl – PRIMUS, 2021

We describe a project to restructure the way Applied Calculus is taught at our university to improve student success rates. Eliminating large lecture sections, re-evaluating the needs and expectations of our students, developing uniform course delivery and grading systems, incorporating active learning teaching methods, and focusing on conceptual…

Descriptors: Mathematics Instruction, College Mathematics, Calculus, Teaching Methods

Hancock, Emilie; Franco, Lorraine; Bagley, Spencer; Karakok, Gulden – PRIMUS, 2021

As calculus instruction moves further from lecture-based instruction toward student-centered pedagogy, support services must align with the changing goals for the course. This paper describes the work of a department as they collectively design and redesign a co-requisite Calculus I course, in an effort to better promote students' academic and…

Descriptors: Teaching Methods, Mathematics Instruction, Calculus, Social Integration

Rapke, Tina; Hall, Jennifer; Marynowski, Richelle – PRIMUS, 2021

We describe a method that instructors can use to grade tests and assignments that can be used in follow-up inquiry-based activities in class to review material. The grading process is essentially a sorting of student assignment/test responses based on the instructor's conception of what makes responses acceptable. The instructor can assign a grade…

Descriptors: Grading, Assignments, Tests, Inquiry

Weir, Rachel J. – PRIMUS, 2020

Like many math educators, I have spent much of my career bound to traditional methods of instruction and assessment. In recent years, motivated by a growing understanding that such approaches may not result in equitable or inclusive classroom environments, my teaching philosophy has shifted radically. In this article, I describe how I transformed…

Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Student Centered Learning

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

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

Kuster, George; Johnson, Estrella; Keene, Karen; Andrews-Larson, Christine – PRIMUS, 2018

Research has highlighted that inquiry-based learning (IBL) instruction leads to many positive student outcomes in undergraduate mathematics. Although this research points to the value of IBL instruction, the practices of IBL instructors are not well-understood. Here, we offer a characterization of a particular form of IBL instruction:…

Descriptors: Inquiry, Educational Principles, Active Learning, Outcomes of Education

Evans, Riley; Friedman, Jane; McGrath, Lynn; Myers, Perla; Ruiz, Amanda – PRIMUS, 2018

Although the number of bachelor's degrees in the U.S. awarded to women has gone up, engagement of women in science, technology, engineering, and mathematics (STEM) continues to be low. This paper presents a project-based learning program, informed by education research best practices, designed to provide research experiences to female students…

Descriptors: Mathematics Instruction, Females, Active Learning, Student Projects