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Maxwell, Mary; Gleason, Jim – International Journal of Mathematical Education in Science and Technology, 2019

Many large universities, community colleges and some smaller four-year colleges are turning to hybrid or online instruction for remedial and entry level mathematics courses, often assessed using online exams in a proctored computer lab environment. Faculty face the task of choosing questions from a publisher's text bank with very little, if any,…

Descriptors: Item Response Theory, Test Reliability, Item Banks, Algebra

Lim, Kien H. – International Journal of Mathematical Education in Science and Technology, 2019

An exploratory study was conducted to investigate the use of magic activities in a math course for prospective middle-school math teachers. This research report focuses on a lesson using two versions of math magic: (1) the "5-4-3-2-1-½ Magic" involves having students choose a secret number and apply six arithmetic operations in sequence…

Descriptors: Teaching Methods, Mathematics Instruction, Algebra, Mathematical Concepts

Caglayan, Günhan – International Journal of Mathematical Education in Science and Technology, 2018

This linear algebra note offers teaching and learning ideas in the treatment of the inner product space R[superscript m x n] in a technology-supported learning environment. Classroom activities proposed in this note demonstrate creative ways of integrating MATLAB technology into various properties of Frobenius inner product as visualization tools…

Descriptors: Algebra, Class Activities, Mathematics Instruction, Computer Uses in Education

Pujol, Jose – International Journal of Mathematical Education in Science and Technology, 2018

Given two vectors u and v, their cross product u × v is a vector perpendicular to u and v. The motivation for this property, however, is never addressed. Here we show that the existence of the cross and dot products and the perpendicularity property follow from the concept of linear combination, which does not involve products of vectors. For our…

Descriptors: Mathematics Instruction, Algebra, Geometric Concepts, Problem Solving

Turgut, Melih – International Journal of Mathematical Education in Science and Technology, 2018

In this work, students' thinking modes and representation types in linear algebra are investigated through statistical implicative analysis techniques. Specifically, our research question considers the implicative relationships between students' thinking modes and representation types of linear algebra. The participants were 74 undergraduate…

Descriptors: Interaction, Algebra, Correlation, Undergraduate Students

Ding, Meixia; Heffernan, Kayla – International Journal of Mathematical Education in Science and Technology, 2018

This study explores how preservice teachers (PSTs) transfer the intended specialized content knowledge (SCK) to elementary classrooms. Focusing on the case of the associative property of multiplication, we compared three PSTs' SCK during enacted lessons in fourth grade classrooms with their own learning in professional development (PD) settings.…

Descriptors: Preservice Teachers, Pedagogical Content Knowledge, Elementary School Teachers, Multiplication

Brandt, Keith – International Journal of Mathematical Education in Science and Technology, 2017

I propose that students pay more attention to the approximations that lead to integral formulas when they study applications of the definite integral. The goal is to focus students on the underlying concepts and the definition of the definite integral--and to steer them away from memorizing formulas. To address this goal, I have written some…

Descriptors: Concept Teaching, Mathematical Formulas, Mathematical Applications, Mathematics Activities

Griffiths, Martin; MacHale, Des – International Journal of Mathematical Education in Science and Technology, 2017

We study here an aspect of an infinite set "P" of multivariate polynomials, the elements of which are associated with the arithmetic-geometric-mean inequality. In particular, we show in this article that there exist infinite subsets of probability "P" for which every element may be expressed as a finite sum of squares of real…

Descriptors: Arithmetic, Geometry, Geometric Concepts, Algebra

Lesseig, Kristin; Krouss, Paul – International Journal of Mathematical Education in Science and Technology, 2017

Flipped instruction is increasing in popularity, however research that moves beyond descriptions of its implementation in mathematics classes is lacking. We sought to better understand how students taking an introductory college algebra course used the resources provided within a flipped instructional model and how students viewed such resources…

Descriptors: Algebra, College Mathematics, Mathematics Education, Mathematics Instruction

van der Hoff, Quay – International Journal of Mathematical Education in Science and Technology, 2017

The science of biology has been transforming dramatically and so the need for a stronger mathematical background for biology students has increased. Biological students reaching the senior or post-graduate level often come to realize that their mathematical background is insufficient. Similarly, students in a mathematics programme, interested in…

Descriptors: Biology, Mathematics Instruction, Technology Education, Interdisciplinary Approach

Ivanov, O. A.; Ivanova, V. V.; Saltan, A. A. – International Journal of Mathematical Education in Science and Technology, 2017

In this paper, we discuss examples of assignments for a course in discrete mathematics for undergraduate students majoring in business informatics. We consider several problems with computer-based solutions and discuss general strategies for using computers in teaching mathematics and its applications. In order to evaluate the effectiveness of our…

Descriptors: Algebra, Mathematics Instruction, Undergraduate Students, Computer Uses in Education

Andrews-Larson, Christine; Wawro, Megan; Zandieh, Michelle – International Journal of Mathematical Education in Science and Technology, 2017

In this paper, we present a hypothetical learning trajectory (HLT) aimed at supporting students in developing flexible ways of reasoning about matrices as linear transformations in the context of introductory linear algebra. In our HLT, we highlight the integral role of the instructor in this development. Our HLT is based on the "Italicizing…

Descriptors: Algebra, Mathematics Instruction, Matrices, Mathematics Activities

Cárcamo Bahamonde, Andrea Dorila; Fortuny Aymemí, Josep Maria; Gómez i Urgellés, Joan Vicenç – International Journal of Mathematical Education in Science and Technology, 2017

In this article we present a didactic proposal for teaching linear algebra based on two compatible theoretical models: emergent models and mathematical modelling. This proposal begins with a problematic situation related to the creation and use of secure passwords, which leads students toward the construction of the concepts of spanning set and…

Descriptors: Foreign Countries, College Freshmen, Engineering Education, Mathematical Models

Wiggins, Harry; Harding, Ansie; Engelbrecht, Johann – International Journal of Mathematical Education in Science and Technology, 2017

This paper presents an enrichment case study to showcase a possible avenue for attending to the needs of academically strong mathematics students. We report on a group of university students who were presented with the opportunity of exploring a specific first year mathematics topic deeper, using an inquiry-based learning approach as part of an…

Descriptors: Enrichment, Enrichment Activities, Mathematics, Mathematics Instruction

Craig, Tracy S. – International Journal of Mathematical Education in Science and Technology, 2017

The notation for vector analysis has a contentious nineteenth century history, with many different notations describing the same or similar concepts competing for use. While the twentieth century has seen a great deal of unification in vector analysis notation, variation still remains. In this paper, the two primary notations used for expressing…

Descriptors: College Mathematics, Mathematics Instruction, Mathematical Concepts, Algebra