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Orosi, Greg – International Journal of Mathematical Education in Science and Technology, 2017

In this paper, we derive the result of the classical gambler's ruin problem using elementary linear algebra. Moreover, the pedagogical advantage of the derivation is briefly discussed.

Descriptors: Algebra, Problem Solving, Elementary School Mathematics, Probability

Adiredja, Aditya P.; Zandieh, Michelle – Educational Studies in Mathematics, 2020

This paper focuses on the mathematical sensemaking by women of color in the USA as part of the global effort of dismantling deficit narratives about historically marginalized groups of students. Following Adiredja's anti-deficit framework for sensemaking, this cognitive study invited a group of women of color to share their understanding of basis…

Descriptors: Mathematics Skills, Females, Disadvantaged, Minority Group Students

Kontorovich, Igor' – Mathematics Education Research Journal, 2020

While the lion's share of mathematics education research in linear algebra has been concerned with the conceptual aspects of students' learning, this study focuses on procedural knowledge that undergraduates can develop in a typical first-year course. The study analyzes the methods that a large cohort of second-semester students applied in a final…

Descriptors: Undergraduate Students, College Mathematics, Algebra, Problem Solving

Sadita, Lia; Hirashima, Tsukasa; Hayashi, Yusuke; Wunnasri, Warunya; Pailai, Jaruwat; Junus, Kasiyah; Santoso, Harry Budi – Research and Practice in Technology Enhanced Learning, 2020

The design of interactions among peers plays a key role in collaborative learning. Various strategies have been applied to assist learners in collaborating and creating a continuous effort to construct and maintain shared knowledge, such as utilizing a concept map as a representational tool during discourse. Some previous studies have revealed its…

Descriptors: Concept Mapping, Cooperative Learning, Algebra, Comprehension

Cárcamo, Andrea; Fuentealba, Claudio; Garzón, Diego – EURASIA Journal of Mathematics, Science and Technology Education, 2019

In order to promote the design of innovative instructional activities at the Linear Algebra, we perform a design-based research project to explore how to teach Linear Algebra at the university level. In this article, we present the results of three cycles of a teaching experiment that we carried out to design, try out, and improve a local…

Descriptors: Algebra, Instructional Design, Learning Theories, Mathematical Concepts

Stewart, Sepideh; Andrews-Larson, Christine; Zandieh, Michelle – ZDM: The International Journal on Mathematics Education, 2019

In this survey paper, we describe the state of the field on linear algebra research. We synthesize themes, questions, results, and perspectives emphasized in the papers that appear in this issue, as well as a selection of those published between 2008 and 2017. We highlight the extensive base of empirical research detailing how students reason…

Descriptors: Mathematics Instruction, Mathematical Logic, Teaching Methods, Mathematics Achievement

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

Harel, Guershon – ZDM: The International Journal on Mathematics Education, 2019

Geometry is used in different ways in the teaching of linear algebra. In this paper, I offer a typology of these ways, which I call varieties, and address three central questions. The first question is, "What varieties of use of geometry in the teaching of linear algebra exist?" This question is addressed through an analysis of six…

Descriptors: Geometry, Mathematics Instruction, Algebra, Teaching Methods

Cooley, Laurel; Vidakovic, Draga; Martin, William O.; Dexter, Scott; Suzuki, Jeff; Loch, Sergio – PRIMUS, 2014

This paper reports on the experience of STEM and mathematics faculty at four different institutions working collaboratively to integrate learning theory with curriculum development in a core undergraduate linear algebra context. The faculty formed a Professional Learning Community (PLC) with a focus on learning theories in mathematics and…

Descriptors: Algebra, Undergraduate Study, College Mathematics, Learning Theories

Bagley, Spencer; Rabin, Jeffrey M. – International Journal of Research in Undergraduate Mathematics Education, 2016

In this work, we examine students' ways of thinking when presented with a novel linear algebra problem. Our intent was to explore how students employ and coordinate three modes of thinking, which we call computational, abstract, and geometric, following similar frameworks proposed by Hillel (2000) and Sierpinska (2000). However, the undergraduate…

Descriptors: Thinking Skills, Undergraduate Students, Mathematics Instruction, Honors Curriculum

Martínez-Sierra, Gustavo; García-González, María del Socorro – Educational Studies in Mathematics, 2016

Little is known about students' emotions in the field of Mathematics Education that go beyond students' emotions in problem solving. To start filling this gap this qualitative research has the aim to identify emotional experiences of undergraduate mathematics students in Linear Algebra courses. In order to obtain data, retrospective focus group…

Descriptors: Mathematics Education, Emotional Response, Algebra, College Mathematics

Berman, Abraham; Shvartsman, Ludmila – European Journal of Science and Mathematics Education, 2016

In this paper we describe an experiment in a linear algebra course. The aim of the experiment was to promote the students' understanding of the studied concepts focusing on their definitions. It seems to be a given that students should understand concepts' definitions before working substantially with them. Unfortunately, in many cases they do…

Descriptors: Definitions, Relevance (Education), Algebra, Science Experiments

Mesa, Vilma; Shultz, Mollee; Jackson, Ashley – International Journal of Research in Undergraduate Mathematics Education, 2020

This study describes how nine university professors managed their teaching when a shift from lecturing to inquiry-based learning was mandated in a large enrollment course, linear algebra for math majors. We describe the tensions that emerged and how they were resolved, in part via the production of worksheets that were used in teaching. We…

Descriptors: Lecture Method, College Mathematics, Conflict Resolution, Algebra

Diniz, Marcio – College Mathematics Journal, 2013

Concepts from asset pricing and financial markets theory are used to illustrate concepts of linear algebra and linear programming.

Descriptors: Algebra, Mathematical Applications, Mathematical Concepts, Financial Services

Yang, Kai-Ju – Journal of Interactive Learning Research, 2015

This paper reports on a study of twelve 10th grade students using Cognitive Tutor, a math software program, to learn linear algebra word concept. The study's purpose was to examine whether students' mathematics performance as it is related to using Cognitive Tutor provided evidence to support Koedlinger's (2002) four instructional principles used…

Descriptors: Computer Software, Computer Uses in Education, Educational Technology, Algebra