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Álvarez, James A. M.; Kercher, Andrew; Turner, Kyle; Arnold, Elizabeth G.; Burroughs, Elizabeth A.; Fulton, Elizabeth W. – PRIMUS, 2022
We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge advanced mathematics concepts to…
Descriptors: College Mathematics, Undergraduate Study, Mathematics Instruction, Algebra
Radmehr, Farzad; Nedaei, Mahboubeh; Drake, Michael – PRIMUS, 2022
Mathematics education faculty working in mathematics departments are commonly involved in teaching undergraduate mathematics courses, teaching and supervising postgraduate students of mathematics education, and developing mathematics teachers (pre-service and/or in-service). This paper proposes a new elective course that can be taken by either…
Descriptors: Mathematics Education, Majors (Students), Elective Courses, Course Selection (Students)
Appova, Aina K. – PRIMUS, 2018
This paper discusses the ways in which teacher educators can effectively engage prospective teachers (PTs) in lesson study during mathematics methods courses. Evidence from this work suggests that engagement in lesson study provides PTs with opportunities to strengthen their knowledge about mathematics, students, and pedagogy. More specifically,…
Descriptors: Communities of Practice, Preservice Teacher Education, Preservice Teachers, Mathematics Instruction
Morales-Almazan, Pedro – PRIMUS, 2022
This article explores the parallels between improvisational theater, commonly known as improv, and active teaching. Specifically, it focuses in the impact of improv techniques on instructor and teaching assistant professional development. The implementation of an active teaching seminar is analyzed, where improv techniques were used in developing…
Descriptors: Creative Activities, Drama, Teaching Methods, Faculty Development
Rogers, Kimberly Cervello – PRIMUS, 2014
In the context of a Capstone course for prospective secondary teachers (PSTs) of mathematics, this paper examines how a journal assignment was implemented and how it can help us understand PSTs' views of mathematics and mathematics teaching. First, the course design and specifics of the assignment are described. Then, details about…
Descriptors: Preservice Teacher Education, Secondary School Curriculum, Mathematics Education, Journal Writing
Prabhu, Sunitha – PRIMUS, 2022
Teaching Mathematics to tertiary students can be a challenge to educators, mainly because they must deal with learners' varying levels of readiness. Some of the factors attributing to the variability are learners' perceptions of mathematics, their previous learning experiences, and fear of failure. We implemented a teaching approach to facilitate…
Descriptors: Student Attitudes, Attitude Change, Mathematics Education, Student Experience
Fulton, Elizabeth W.; Arnold, Elizabeth G.; Burroughs, Elizabeth A.; Álvarez, James A. M.; Kercher, Andrew; Turner, Kyle – PRIMUS, 2022
This paper introduces lessons designed to incorporate applications to teaching high school mathematics in an undergraduate Discrete Mathematics course. Because many prospective high school teachers do not take courses that are specifically designed for teachers, providing materials aimed at teacher preparation that can be easily integrated into…
Descriptors: High Schools, Secondary School Mathematics, Mathematics Instruction, Undergraduate Study
Worthley, Mary R.; Gloeckner, Gene W.; Kennedy, Paul A. – PRIMUS, 2016
In this study we aimed to understand who was struggling in freshman calculus courses, and why. Concentrating on the Fall sections of the class, the best predictors for success (R[superscript 2] = 0.4) were placement test results, the student's own appraisal of the quality of mathematics teaching they received in high school, and the Motivated…
Descriptors: Mixed Methods Research, Calculus, College Freshmen, College Mathematics
Schanke, Angela – PRIMUS, 2023
Preservice elementary teachers tend to have higher mathematics anxiety than other undergraduate majors, which can be mitigated through building self-efficacy. Teacher education programs can address this deficit through methods courses that provide opportunities for preservice teachers to construct mathematical concepts and practice instruction.…
Descriptors: Preservice Teachers, Elementary Education, Teacher Education Programs, Self Efficacy
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
Alexander, Nathan N.; Teymuroglu, Zeynep; Yerger, Carl R. – PRIMUS, 2019
This article explores how critical conversations engage undergraduate mathematics faculty in a community of practice that enhances their knowledge about teaching and learning mathematics for social justice. More broadly, critical conversations are defined as a cooperative learning strategy that can be used to identify, explore, and respond to…
Descriptors: Mathematics Instruction, Social Justice, College Faculty, Communities of Practice
Radmehr, Farzad; Tohidinasab, Khaled; Tavakoli, Mostafa – PRIMUS, 2023
Traditional lecturing is the dominant method of teaching mathematics in undergraduate mathematical courses in many countries, whereas active student-centered approaches such as inquiry-based learning have been shown in some instances to be more effective. Most teaching resources (inquiry-based tasks) available at the tertiary level are related to…
Descriptors: Teaching Methods, Inquiry, Mathematics Instruction, Graphs
Voigt, Matthew; Wynn, Lynda; Bjorkman, Katie; Lo, Stanley M. – PRIMUS, 2023
In this paper, we briefly introduce three theoretical frameworks for mathematical identity and why they matter to practitioners teaching undergraduate mathematics courses. These frameworks are narrative identities, communities of practice, and figured worlds. After briefly describing each theory, we provide examples of how each framework can be…
Descriptors: Undergraduate Students, Self Concept, Mathematics Education, College Mathematics
Soto, Roberto C.; Marzocchi, Alison S. – PRIMUS, 2021
With knowledge in hand that teaching mathematics through active engagement leads to better learning outcomes for students, the field of mathematics is now tasked with researching effective facilitation of professional development for faculty. Our university embarked on an initial year of active learning professional development for mathematics…
Descriptors: Active Learning, Faculty Development, Teacher Attitudes, Mathematics Instruction
Cook, Samuel A.; Borkovitz, Debra K. – PRIMUS, 2017
In this paper we present data from one-on-one interviews conducted with students who have taken intermediate and advanced inquiry-based mathematics courses in a program that prepares future preK-8 teachers. Many of these students entered college with a fear of math, but then gained confidence from a required introductory math course and chose to…
Descriptors: Student Attitudes, Introductory Courses, Inquiry, Mathematics Education