Publication Date
In 2024 | 0 |
Since 2023 | 5 |
Since 2020 (last 5 years) | 20 |
Since 2015 (last 10 years) | 46 |
Since 2005 (last 20 years) | 82 |
Descriptor
Source
PRIMUS | 86 |
Author
Garcia, Stephan Ramon | 2 |
Robertson, Robert L. | 2 |
Shipman, Barbara A. | 2 |
Smith, Michael D. | 2 |
Abramovich, Sergei | 1 |
Alongi, John M. | 1 |
Andrew, Lane | 1 |
Atanasov, Risto | 1 |
Baker, Diane | 1 |
Beaver, Scott | 1 |
Bedient, Richard | 1 |
More ▼ |
Publication Type
Journal Articles | 86 |
Reports - Descriptive | 70 |
Reports - Research | 12 |
Reports - Evaluative | 4 |
Guides - Classroom - Teacher | 2 |
Tests/Questionnaires | 1 |
Education Level
Higher Education | 77 |
Postsecondary Education | 42 |
High Schools | 3 |
Secondary Education | 3 |
Elementary Secondary Education | 2 |
Audience
Teachers | 6 |
Location
Michigan | 2 |
North Carolina | 2 |
California (Santa Barbara) | 1 |
Kentucky | 1 |
Maryland | 1 |
Massachusetts | 1 |
New Jersey | 1 |
New York | 1 |
Pennsylvania | 1 |
Pennsylvania (Philadelphia) | 1 |
Texas (Lubbock) | 1 |
More ▼ |
Laws, Policies, & Programs
Assessments and Surveys
Motivated Strategies for… | 1 |
What Works Clearinghouse Rating
Malagon, Audrey – PRIMUS, 2023
The mathematical egg hunt is a hands-on activity designed to help students understand mathematical relations in an Introduction to Proofs course. This activity gives students the opportunity to practice selecting which ordered pairs do and do not belong to a given relation in a moderately competitive egg hunt. It is designed to be low-stakes, yet…
Descriptors: Mathematics Education, Active Learning, Mathematical Logic, Validity
Smith, Michael D. – PRIMUS, 2023
This article presents several activities suitable for a transition to proofs course. In addition, this article surveys literature in support of active learning in the transition to proofs course and discusses how these activities have been successfully implemented in one such course.
Descriptors: Active Learning, Mathematical Logic, Validity, Mathematics Activities
Cherkas, Barry – PRIMUS, 2023
An online intro-to-proof course provided an unexpected opportunity for a series of email exchanges that yielded insights into one student's mathematical thinking and the ambiguous role of mathematical jargon in miscuing this student's reasoning. The jargon deals with the notation [limit value of a function], which encapsulates multiple conceptual…
Descriptors: Jargon, Mathematics Education, Thinking Skills, Online Courses
Sinn, Robb; Briggs, Karen – PRIMUS, 2023
The Math Immersion intervention was designed to aid the transition-to-proof phase of the undergraduate mathematics major. The Immersion was co-taught by two instructors, one for Intro to Proofs and Abstract Algebra and another for Probability and Statistics and Linear Algebra. This case study documented that efficiency gains directly attributable…
Descriptors: College Mathematics, Mathematics Instruction, Undergraduate Students, Algebra
Katz, Brian P.; Thoren, Elizabeth; Hernandez, Vanessa – PRIMUS, 2023
Experienced provers employ a host of skills when assessing the validity of a justification, often without names for those skills. This paper offers an introduction to a lens called Toulmin analysis that can help make sense of this process. Then this paper describes both an in-class module to help students learn to apply Toulmin analysis and…
Descriptors: Teaching Methods, Class Activities, Mathematics Education, Majors (Students)
Dawkins, Paul Christian; Zazkis, Dov; Cook, John Paul – PRIMUS, 2022
Many mathematics departments have transition to proof (TTP) courses, which prepare undergraduate students for proof-oriented mathematics. Here we discuss how common TTP textbooks connect three topics ubiquitous to such courses: logic, proof techniques, and sets. In particular, we were motivated by recent research showing that focusing on sets is…
Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Undergraduate Students
Grundmeier, T. A.; Retsek, D.; Berg, A.; Mann, S.; Hamlin Prieto, A. – PRIMUS, 2022
Students' proof abilities were explored in the context of an inquiry-based learning (IBL) approach to teaching an introductory proofs course. IBL is a teaching method that puts the responsibility for proof on students and focuses on student discussion and exploration. Data collected from each of the 70 participants included a portfolio consisting…
Descriptors: Mathematics Instruction, Inquiry, Validity, Mathematical Logic
Melhuish, K.; Lew, K.; Hicks, M. – PRIMUS, 2022
Connecting and comparing across student strategies has been shown to be productive for students in elementary and secondary classrooms. We have recently been working on a project converting such practices from the K-12 level to the undergraduate classroom. In this paper, we share a particular instantiation of this practice in an abstract algebra…
Descriptors: Mathematics Instruction, Teaching Methods, Best Practices, Algebra
Rapke, Tina; Yan, Xiaoheng – PRIMUS, 2022
We discuss how an asynchronous online forum can be used to support the learning of proof validation. In this study, one face-to-face class session was replaced with an online session in a first-year university introduction to proof course with 19 volunteer research participants. The online session was centered around an online forum that took the…
Descriptors: Asynchronous Communication, Online Courses, Undergraduate Students, Mathematical Logic
St. Goar, Julia; Lai, Yvonne – PRIMUS, 2022
Undergraduate mathematics instructors are called by many current standards to promote prospective teachers' learning of geometry from a transformation perspective, marking a change from previous standards. The novelty of this situation means it is unclear what is involved in undergraduate learning and teaching of geometry from a transformation…
Descriptors: Preservice Teachers, Mathematics Teachers, Geometry, Validity
Cooper, Andrew A. – PRIMUS, 2021
In this note, I argue for and discuss my experiences with explicitly incorporating principles of critical and creative thinking in a transitions course which serves mathematics, mathematics education, and statistics majors. I describe several specific assignments and classroom tasks designed to enhance critical and creative thinking. I also…
Descriptors: Critical Thinking, Creative Thinking, Mathematics, Statistics Education
Bleiler-Baxter, Sarah K.; Pair, Jeffrey D.; Reed, Samuel D. – PRIMUS, 2021
Students often view their role as that of a replicator, rather than a creator, of mathematical arguments. We aimed to engage our students more fully in the creation process, helping them to see themselves as legitimate proof creators. In this paper, we describe an instructional activity (i.e., the "group proof activity") that is…
Descriptors: Mathematics Instruction, Teaching Methods, Validity, Mathematical Logic
Petrilli, Salvatore J., Jr. – PRIMUS, 2021
The Department of Mathematics and Computer Science at Adelphi University engaged in a year-long program revision of its mathematics major, which was initiated by a longitudinal study and the publication of the 2015 Curriculum Guide by the MAA's Committee on Undergraduate Programs in Mathematics. This paper stands as a short story, so to speak, of…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Mathematical Logic
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
Carlisle, Sylvia – PRIMUS, 2020
Specifications grading is a version of mastery grading distinguished by giving students clear specifications that their work must meet, and grading most things pass/fail based on those specifications. Mastery grading systems can get quite elaborate, with hierarchies of objectives and various systems for rewriting and retesting. In this article I…
Descriptors: Grading, Standards, Mathematics Instruction, Calculus