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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

Faizah, Siti; Nusantara, Toto; Sudirman; Rahardi, Rustanto – Online Submission, 2020

This study aims to describe how subjects construct explicit warrant derived from implicit warrant when completing mathematical proof. This research was conducted on seventeen students of mathematics education study programs by providing tests on vector material in elementary linear algebra courses. The test results show that there are four…

Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Algebra

Ahlgren Reddy, Alison; Harper, Marc – PRIMUS, 2013

Data from the ALEKS-based placement program at the University of Illinois is presented visually in several ways. The placement exam (an ALEKS assessment) contains precise item-specific information and the data show many interesting properties of the student populations of the placement courses, which include Precalculus, Calculus, and Business…

Descriptors: Mathematics Education, College Mathematics, Student Placement, Scores

Parker, Catherine Frieda – ProQuest LLC, 2010

A possible contributing factor to students' difficulty in learning advanced mathematics is the conflict between students' "natural" learning styles and the formal structure of mathematics, which is based on definitions, theorems, and proofs. Students' natural learning styles may be a function of their intuition and language skills. The purpose of…

Descriptors: Definitions, Intuition, Writing Skills, Language Skills

Teets, Donald – College Mathematics Journal, 2007

This article presents the mathematics involved in finding and tracking celestial objects with an electronically controlled telescope. The essential idea in solving this problem is to choose several different coordinate systems that simplify the various motions of the earth and other celestial objects. These coordinate systems are then related by…

Descriptors: Astronomy, Algebra, Space Sciences, Electronics

Peer reviewed

Uhlig, Frank – Educational Studies in Mathematics, 2002

Describes how elementary linear algebra can be taught successfully while introducing students to the concept and practice of mathematical proof. Suggests exploring the concept of solvability of linear systems first via the row echelon form (REF). (Author/KHR)

Descriptors: Algebra, Concept Formation, Heuristics, Higher Education

Prasanna, Shanti – International Journal of Mathematical Education in Science and Technology, 2002

This note uses some elementary concepts in linear algebra to prove some well-known results in two- and three-dimensional geometry.

Descriptors: Geometry, Algebra, Mathematics Education, Mathematical Concepts

Ahmad, Faiz – Mathematics and Computer Education, 2011

It is a routine matter for undergraduates to find eigenvalues and eigenvectors of a given matrix. But the converse problem of finding a matrix with prescribed eigenvalues and eigenvectors is rarely discussed in elementary texts on linear algebra. This problem is related to the "spectral" decomposition of a matrix and has important technical…

Descriptors: Textbooks, Matrices, Mathematics Instruction, College Mathematics

Aytekin, Cahit; Kiymaz, Yasemin – Acta Didactica Napocensia, 2019

Linear algebra differs from other mathematics courses because of the special difficulties that students have in understanding the concepts. Teaching without concretizing the concepts of Linear Algebra encouraged students to memorize definitions of concepts and rules has been articulated. Many researches show that technology-supported teaching is…

Descriptors: Algebra, Mathematics Instruction, Computer Software, Educational Technology

Garcia, Stephan Ramon – PRIMUS, 2017

A second course in linear algebra that goes beyond the traditional lower-level curriculum is increasingly important for students of the mathematical sciences. Although many applications involve only real numbers, a solid understanding of complex arithmetic often sheds significant light. Many instructors are unaware of the opportunities afforded by…

Descriptors: Algebra, Mathematics Instruction, Numbers, College Mathematics

Peer reviewed

Meel, David E. – Primus, 1999

Examines the various issues surrounding the implementation of journal writing in an undergraduate linear algebra course. Identifies the benefits of incorporating journal writing into an undergraduate mathematics course, which are supported with students' comments from their journals and their reflections on the process. Contains 14 references.…

Descriptors: Algebra, College Mathematics, Content Area Writing, Higher Education

Committee on the Undergraduate Program in Mathematics, Berkeley, CA. – 1972

This document constitutes a complete revision of the report of the same name first published in 1965. A new list of basic courses is described, consisting of Calculus I, Calculus II, Elementary Linear Algebra, Multivariable Calculus I, Linear Algebra, and Introductory Modern Algebra. Commentaries outline the content and spirit of these courses in…

Descriptors: Algebra, Calculus, College Mathematics, College Programs

Peer reviewed

Gonzalez-Vega, Laureano – International Journal of Computer Algebra in Mathematics Education, 1999

Using a Computer Algebra System (CAS) to help with the teaching of an elementary course in linear algebra can be one way to introduce computer algebra, numerical analysis, data structures, and algorithms. Highlights the advantages and disadvantages of this approach to the teaching of linear algebra. (Author/MM)

Descriptors: Computer Uses in Education, Course Descriptions, Graphing Calculators, Higher Education

Peer reviewed

Brieske, Thomas J. – Mathematics Teacher, 1975

Vector space concepts are developed by consideration of solutions for linear homogeneous equations. (SD)

Descriptors: Algebra, Geometry, Instruction, Mathematical Experience

Peer reviewed

van Herwaarden, Onno A.; Gielen, Joseph L. W. – International Journal of Computer Algebra in Mathematics Education, 2002

Focuses on students showing a lack of conceptual insight while using computer algebra systems (CAS) in the setting of an elementary calculus and linear algebra course for first year university students in social sciences. The use of a computer algebra environment has been incorporated into a more traditional course but with special attention on…

Descriptors: Calculus, Computer Uses in Education, Higher Education, Mathematics Education