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More, M. – International Journal of Mathematical Education in Science and Technology, 2018

We bring out an experience of organizing mathematical competitions that can be used as a medium to motivate the student and teacher minds in new directions of thinking. This can contribute to fostering research, innovation and provide a hands-on experience of mathematical concepts with the real world. Mathematical competitions can be used to build…

Descriptors: Mathematics Education, Engineering Education, Mathematical Models, Competition

Engelke Infante, Nicole; Murphy, Kristen; Glenn, Celeste; Sealey, Vicki – International Journal of Mathematical Education in Science and Technology, 2018

Knowing when students have the prerequisite knowledge to be able to read and understand a mathematical text is a perennial concern for instructors. Using text describing Newton's method and Vinner's notion of concept image, we exemplify how prerequisite knowledge influences understanding. Through clinical interviews with first-semester calculus…

Descriptors: Calculus, Mathematical Concepts, Imagery, Schemata (Cognition)

Dobbs, David E. – International Journal of Mathematical Education in Science and Technology, 2018

Let R be an integral domain with quotient field F, let S be a non-empty subset of R and let n = 2 be an integer. If there exists a rational function ?: S [right arrow] F such that ?(a)[superscript n] = a for all a ? S, then S is finite. As a consequence, if F is an ordered field (for instance,[real numbers]) and S is an open interval in F, no such…

Descriptors: Numbers, Mathematics Instruction, Algebra, Mathematical Formulas

Cadeddu, L.; Cauli, A. – International Journal of Mathematical Education in Science and Technology, 2018

We deal with an application of partial differential equations to the correct definition of a wine cellar. We present some historical details about this problem. We also discuss how to build or renew a wine cellar, creating ideal conditions for the ageing process and improving the quality of wines. Our goal is to calculate the optimal depth…

Descriptors: Mathematical Applications, Mathematics Activities, Calculus, Science Education History

Poon, Kin Keung; Wong, Kwan Lam – International Journal of Mathematical Education in Science and Technology, 2017

The use of dynamic geometry software (DGS) is becoming increasingly familiar among teachers, but letting students conduct inquiries using computers is still not a welcome idea. In addition to logistics and discipline concerns, many teachers believe that mathematics at the lower secondary level can be learned efficiently through practice alone.…

Descriptors: Geometry, Geometric Concepts, Mathematics Instruction, Mathematics Achievement

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

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

Abernethy, Gavin M.; McCartney, Mark – International Journal of Mathematical Education in Science and Technology, 2017

Two simple discrete-time models of mutation-induced cannibalism are introduced and investigated, one linear and one nonlinear. Both form the basis for possible classroom activities and independent investigative study. A range of classroom exercises are provided, along with suggestions for further investigations.

Descriptors: Classroom Techniques, Class Activities, Investigations, 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

Fuentealba, Claudio; Sánchez-Matamoros, Gloria; Badillo, Edelmira; Trigueros, María – International Journal of Mathematical Education in Science and Technology, 2017

This study is part of a more extensive research project that addresses the understanding of the derivative concept in university students with prior instruction in differential calculus. In particular, we focus on the analysis of students' responses to a sequence of tasks that require a high level of understanding of the concept, and complement…

Descriptors: Calculus, Mathematical Concepts, Concept Teaching, Task Analysis

Benakli, Nadia; Kostadinov, Boyan; Satyanarayana, Ashwin; Singh, Satyanand – International Journal of Mathematical Education in Science and Technology, 2017

The goal of this paper is to promote computational thinking among mathematics, engineering, science and technology students, through hands-on computer experiments. These activities have the potential to empower students to learn, create and invent with technology, and they engage computational thinking through simulations, visualizations and data…

Descriptors: Calculus, Probability, Data Analysis, Computation

Aabrandt, Andreas; Hansen, Vagn Lundsgaard – International Journal of Mathematical Education in Science and Technology, 2016

The study of solutions to polynomial equations over finite fields has a long history in mathematics and is an interesting area of contemporary research. In recent years, the subject has found important applications in the modelling of problems from applied mathematical fields such as signal analysis, system theory, coding theory and cryptology. In…

Descriptors: Mathematical Formulas, Algebra, Mathematical Applications, Equations (Mathematics)

Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2016

This paper is written to commemorate the centennial anniversary of the Mathematical Association of America. It deals with a short history of different kinds of natural numbers including triangular, square, pentagonal, hexagonal and "k"-gonal numbers, and their simple properties and their geometrical representations. Included are Euclid's…

Descriptors: Mathematics, Mathematics Instruction, Mathematical Applications, Numbers

Peled, Irit; Keisar, Einav – International Journal of Mathematical Education in Science and Technology, 2015

In this action research, first-graders were challenged to cope with a sequence of modelling tasks involving an analysis of given situations and choices of mathematical tools. In the course of the sequence, they underwent a change in the nature of their problem-solving processes and developed modelling competencies. Moreover, during the task…

Descriptors: Coping, Task Analysis, Tables (Data), Grade 1

Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2015

This paper deals with a brief history of the most remarkable Euler numbers "e,"?"i"?and?"?" in mathematical sciences. Included are many properties of the constants "e,"?"i"?and?"?" and their applications in algebra, geometry, physics, chemistry, ecology, business and industry. Special…

Descriptors: Numbers, History, Mathematics, Mathematical Applications