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Ashraf Alam; Atasi Mohanty – Cogent Education, 2024
This scholarly inquiry critically examines the pedagogical aspects pertaining to the instruction and acquisition of Abstract Algebra within the realm of University Mathematics Education (UME). Drawing upon multiple lenses, including epistemological, cognitive, phenomenological, and institutional perspectives, this study investigates the formidable…
Descriptors: Algebra, Mathematics Instruction, College Mathematics, Teaching Methods
Jessica L. Smith – ProQuest LLC, 2022
There have been recent pushes for more active learning in mathematics classrooms, especially at the undergraduate level. To incorporate more active learning, there is a need for tasks that explicitly support this type of instruction, attention to student reasoning and whose ideas are publicly acknowledged, and awareness of differences in students'…
Descriptors: Mathematics Instruction, Active Learning, Mathematical Logic, Algebra
Karakok, Gulden – ZDM: The International Journal on Mathematics Education, 2019
Many studies provide insights into students' conceptions of various linear algebra topics and difficulties they face with multiple modes of thinking needed for conceptualization. While it is important to understand students' initial conceptions, students' transfer of learning of these conceptions to subsequent courses can provide additional…
Descriptors: Algebra, Transfer of Training, Physics, Equations (Mathematics)
Venkatesh, Anil; Piercey, Victor – PRIMUS, 2021
Quantitative Reasoning for Professionals is a two-semester general education sequence that teaches basic and intermediate algebra through the lens of quantitative reasoning. In this course sequence, we emphasize communication and inference-making while teaching practical algebra skills for students in programs such as business, nursing, and social…
Descriptors: Mathematics Instruction, College Mathematics, Inquiry, Grading
Al-Salmani, Fatema; Thacker, Beth – Physical Review Physics Education Research, 2021
We designed a rubric to assess free-response exam problems in order to compare thinking skills evidenced in exams in classes taught by different pedagogies. The rubric was designed based on Bloom's taxonomy and then used to code exam problems. We have analyzed historical and recent exam problems in both algebra-based and calculus-based exams. In…
Descriptors: Inquiry, Thinking Skills, Scoring Rubrics, Algebra
Meagher, Michael S.; Edwards, Michael Todd; Özgün-Koca, S. Asli – Mathematics Teacher: Learning and Teaching PK-12, 2021
Too often, high school algebra students encounter topics in a discrete, disconnected fashion. In the authors' first years of teaching, they found students to be adept at solving problems they were currently studying; for instance, they could solve quadratics during a quadratics unit. Too often, however, students struggled with that same content…
Descriptors: High School Students, Mathematics Instruction, Algebra, Problem Solving
Haider, Muhammad Qadeer – ProQuest LLC, 2019
Inquiry-oriented teaching is a specific form of active learning gaining popularity in teaching communities. The goal of inquiry-oriented classes is to help students in gaining a conceptual understanding of the material. My research focus is to gauge students' performance and conceptual understanding in inquiry-oriented linear algebra classes. This…
Descriptors: Mathematics Tests, Test Construction, Test Validity, Test Reliability
Lewis, Drew; Estis, Julie – Teaching & Learning Inquiry, 2020
This article examines how student learning is affected by the use of team-based inquiry learning, a novel pedagogy in mathematics that uses team-based learning to implement inquiry-based learning. We conducted quasi-experimental and observational studies in intermediate level mathematics courses, finding that team-based inquiry learning led to…
Descriptors: College Mathematics, Mathematics Instruction, Instructional Effectiveness, Equations (Mathematics)
Ferguson, Sarah – Mathematics Teaching in the Middle School, 2019
Building sets, video games, and scatterplots may seem unrelated, but when they are combined into a problem-based learning (PBL) lesson, these elements join to create a unique learning experience. PBL lessons drive instruction by focusing learning and activities around a central challenge or question while providing a relevant, captivating, and…
Descriptors: Mathematics Instruction, Teaching Methods, Problem Based Learning, Problem Solving
Cook, S. A.; Hartman, J.; Pierce, P. B.; Seaders, N. S. – PRIMUS, 2017
As mathematics educators we want our students to develop a natural curiosity that will lead them on the path toward solving problems in a changing world, in fields that perhaps do not even exist today. Here we present student projects, adaptable for several mid- and upper-level mathematics courses, that require students to formulate their own…
Descriptors: Mathematics, Mathematics Teachers, Algebra, Problem Solving
Eddy, Colleen M.; Pratt, Sarah S.; Green, Cheyenne N. – Mathematics Teacher, 2018
Have you ever considered how technology could facilitate reasoning and sense making of systems of linear inequalities? In this article, the authors share how to use Google® Maps® and Desmos to achieve this and provide students with opportunities to access mathematics as they build a more formalized understanding. Using an inquiry-based approach,…
Descriptors: Maps, Mathematics Instruction, Mathematical Concepts, Inquiry
Zandieh, Michelle; Wawro, Megan; Rasmussen, Chris – PRIMUS, 2017
In this paper we address practical questions such as: How do symbols appear and evolve in an inquiry-oriented classroom? How can an instructor connect students with traditional notation and vocabulary without undermining their sense of ownership of the material? We tender an example from linear algebra that highlights the roles of the instructor…
Descriptors: Algebra, Mathematics, Mathematics Instruction, Mathematics Education
Piercey, Victor; Cullen, Roxanne – PRIMUS, 2017
In order to improve problem-solving dispositions, a section of an inquiry-based math sequence for first-year business students was linked with a section of our general education English sequence. We describe how the linked classes worked and compare some preliminary results from linked and unlinked sections of the math sequence.
Descriptors: Inquiry, Teaching Methods, Mathematics Instruction, Problem Solving
Jensen-Vallin, Jacqueline – PRIMUS, 2017
As STEM educators, we know it is beneficial to train students to think critically and mathematically during their early mathematical lives. To this end, the author teaches the College Algebra/Precalculus course in a flipped classroom version of an inquiry-based learning style. However, the techniques described in this paper can be applied to a…
Descriptors: Mathematics Instruction, Critical Thinking, College Mathematics, Inquiry
Buell, Catherine A.; Greenstein, Steven; Wilstein, Zahava – PRIMUS, 2017
It is widely accepted in the mathematics education community that pedagogies oriented toward inquiry are aligned with a constructivist theory of learning, and that these pedagogies effectively support students' learning of mathematics. In order to promote such an orientation, we first separate the idea of inquiry from its conception as a…
Descriptors: Inquiry, Active Learning, Mathematics, Mathematics Instruction