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The Eighth Characteristic for Successful Calculus Programs: Diversity, Equity, & Inclusion Practices

Hagman, Jessica Ellis – PRIMUS, 2021

Through a multi-year, national calculus study, researchers have recently identified seven characteristics of successful college calculus programs. We identified these seven characteristics by visiting five doctoral-granting mathematics departments with successful calculus programs and uncovering the common traits among them. These seven traits…

Descriptors: Mathematics Instruction, Calculus, Inclusion, Preservice Teacher Education

Radzimski, Vanessa; Leung, Fok-Shuen; Sargent, Pam; Prat, Alain – PRIMUS, 2021

We discuss an innovative course model used in first-year calculus courses at a large North American research university, which we refer to as the "Blended Model." We argue that our model takes the best features of lectures, flipped classrooms, and traditional recitations, and gathers them into a cohesive, robust structure that benefits…

Descriptors: Teaching Methods, Flipped Classroom, Calculus, Research Universities

Figueroa-Cañas, Josep; Sancho-Vinuesa, Teresa – Interactive Learning Environments, 2021

Most teachers of mathematics think that regular practice is essential for success. In face-to-face instruction settings, regular practice requires doing homework, which has to provide students with feedback in order to be useful. Online homework allows teachers to assume the workload involved in providing feedback to a large number of students…

Descriptors: Drills (Practice), Tests, Academic Achievement, Asynchronous Communication

Rabin, Jeffrey M.; Burgasser, Adam; Bussey, Thomas J.; Eggers, John; Lo, Stanley M.; Seethaler, Sherry; Stevens, Laura; Weizman, Haim – International Journal of STEM Education, 2021

Rate of change concepts from calculus are presented and applied rather differently in college mathematics, physics, biology, and chemistry classes. This is not simply a matter of pedagogical style but reflects real cultural differences between these disciplines. We describe the efforts of our interdisciplinary collaboration to understand and…

Descriptors: STEM Education, Interdisciplinary Approach, College Mathematics, College Science

Gendered Performance Differences in Introductory Physics: A Study from a Large Land-Grant University

Dew, Matthew; Perry, Jonathan; Ford, Lewis; Bassichis, William; Erukhimova, Tatiana – Physical Review Physics Education Research, 2021

Studies examining gender differences in introductory physics show a consensus when it comes to a gender gap on conceptual assessments; however, the story is not as clear when it comes to differences in gendered performance on exams. This study examined whether gendered differences exist on midterm and final exams in introductory physics courses…

Descriptors: Gender Differences, Introductory Courses, Land Grant Universities, Physics

Burkholder, Eric W.; Murillo-Gonzalez, Gabriel; Wieman, Carl – Physical Review Physics Education Research, 2021

Previous work has looked at the relationship between high school preparation and student performance in calculus-based introductory mechanics (physics 1) courses. Here, we extend that work to look at performance in introductory calculus-based electricity and magnetism (physics 2), and we look at the significance of what college math courses have…

Descriptors: Physics, Science Instruction, Introductory Courses, Calculus

Brookes, David T.; Yang, Yuehai; Nainabasti, Binod – Physical Review Physics Education Research, 2021

We conducted a semester-long ethnographic study of group work in a physics class that implemented the investigative science learning environment approach. Students' conversations were videotaped while they were engaged in group learning activities. Our primary research goal was to better understand what factors made some groups more effective than…

Descriptors: Ethnography, Physics, Science Instruction, Video Technology

Burgos, María; Bueno, Seydel; Godino, Juan D.; Pérez, Olga – REDIMAT - Journal of Research in Mathematics Education, 2021

Teaching and learning Calculus concepts and procedures, particularly the definite integral concept, is a challenge for teachers and students in their academic careers. In this research, we supplement the analysis made by different authors, applying the theoretical and methodological tools of the Onto-Semiotic Approach to mathematical knowledge and…

Descriptors: Semiotics, Mathematics Instruction, Teaching Methods, Decision Making

Özgeldi, Meriç; Aydin, Utkun – International Journal of Science and Mathematics Education, 2021

This study investigates how three widely used calculus textbooks realise integrals as a potential to prompt mathematical competencies, adapting the rating scheme used in Boesen et al. ("The Journal of Mathematical Behavior," 33:72-87, 2014), Pettersen and Braeken ("International Journal of Science and Mathematics Education,"…

Descriptors: Mathematics Instruction, Calculus, Textbook Content, Textbooks

Bertrand, Elliott; McArdle, David T.; Thoma, Lubos; Wu, Li – PRIMUS, 2021

The percentage of college students receiving unproductive grades in introductory mathematics courses is a concern for post-secondary institutions across the country. Many factors can be targeted as potential explanations for this lack of success, yet none of these issues are more noteworthy than the fact that many students enter college…

Descriptors: College Students, Mathematics Instruction, College Mathematics, Mathematics Skills

Osborne, Jason M.; Cook, William; Bossé, Michael J. – PRIMUS, 2021

In this paper we introduce the reader to a foundational topic of differential geometry: the curvature of a curve. To make this topic engaging to a wide audience of readers, we develop this intuitive introduction employing only basic geometry without calculus and derivatives. It is hoped that this introduction will encourage many more to both…

Descriptors: Mathematics Instruction, Geometry, Geometric Concepts, High Schools

El Turkey, Houssein; Turki, Salam; Kottegoda, Yasanthi – PRIMUS, 2021

Many active learning practices highly depend on students' advance preparation for the class. However, reading Calculus can be a challenging task to students. We address this concern by assigning targeted pre-class readings in multiple Calculus courses. We report on our implementations, provide students' feedback, and discuss the lessons learned…

Descriptors: Reading Assignments, Calculus, Flipped Classroom, Mathematics Instruction

Case, Joshua; Speer, Natasha – PRIMUS, 2021

In undergraduate mathematics, deductive reasoning plays important roles in teaching and learning various ideas, and is primarily characterized by the concept of logical implication. This comes up whenever conditional statements are applied, i.e., one checks if a statement's hypotheses are satisfied and then makes inferences. In calculus, students…

Descriptors: Calculus, Mathematics Instruction, Logical Thinking, Teaching Methods

Carletti, Timoteo; Fanelli, Duccio; Guarino, Alessio – Physics Education, 2021

Geometry, calculus and in particular integrals, are too often seen by young students as technical tools with no link to the reality. This fact generates a loss of interest in students with a consequent removal of motivation in the study of such topics and more widely in pursuing scientific curricula. With this note we put to the fore a simple…

Descriptors: Physics, Science Instruction, Student Motivation, Geometry

Auxtero, Leah Conejos; Callaman, Roar Abalos – Journal of Research and Advances in Mathematics Education, 2021

Rubric has been associated with the term assessment used for grading and/or scoring. However, it might observe less, but it is also designed as students 'learning tool. This study was conducted to provide empirical facts on its effectiveness as a learning tool in teaching Applications of Derivatives in Basic Calculus. It used the…

Descriptors: Calculus, Mathematics Instruction, Scoring Rubrics, Teaching Methods