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Habre, Samer – International Journal of Mathematical Education in Science and Technology, 2017

Covariational reasoning has been the focus of many studies but only a few looked into this reasoning in the polar coordinate system. In fact, research on student's familiarity with polar coordinates and graphing in the polar coordinate system is scarce. This paper examines the challenges that students face when plotting polar curves using the…

Descriptors: Mathematics Achievement, Mathematics Activities, Problem Solving, Geometry

A Case Study of Pedagogy of Mathematics Support Tutors without a Background in Mathematics Education

Walsh, Richard – International Journal of Mathematical Education in Science and Technology, 2017

This study investigates the pedagogical skills and knowledge of three tertiary-level mathematics support tutors in a large group classroom setting. This is achieved through the use of video analysis and a theoretical framework comprising Rowland's Knowledge Quartet and general pedagogical knowledge. The study reports on the findings in relation to…

Descriptors: Case Studies, Mathematics Education, Tutors, Teaching Skills

Bansilal, Sarah – International Journal of Mathematical Education in Science and Technology, 2017

Inflation rates are often reported in the media and interpreted differently by various people. The purpose of the study was to explore mathematical literacy teachers' written responses to questions based on the concept of percentage increase and inflation. The participants were a group of 59 in-service South African teachers who were enrolled on a…

Descriptors: Foreign Countries, Economic Climate, Faculty Development, Mathematics Instruction

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

Abd-Elhameed, W. M.; Zeyada, N. A. – International Journal of Mathematical Education in Science and Technology, 2017

This paper is concerned with developing a new class of generalized numbers. The main advantage of this class is that it generalizes the two classes of generalized Fibonacci numbers and generalized Pell numbers. Some new identities involving these generalized numbers are obtained. In addition, the two well-known identities of Sury and Marques which…

Descriptors: Generalization, Numbers, Number Concepts, Number Systems

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

Stupel, Moshe; Oxman, Victor; Sigler, Avi – International Journal of Mathematical Education in Science and Technology, 2017

We present a geometrical investigation of the process of creating an infinite sequence of triangles inscribed in a circle, whose areas, perimeters and lengths of radii of the inscribed circles tend to a limit in a monotonous manner. First, using geometrical software, we investigate four theorems that represent interesting geometrical properties,…

Descriptors: Geometry, Geometric Concepts, Investigations, Mathematical Concepts

Ramírez, José L.; Rubiano, Gustavo N. – International Journal of Mathematical Education in Science and Technology, 2017

In the present article, we introduce a generalization of the spherical inversion. In particular, we define an inversion with respect to an ellipsoid, and prove several properties of this new transformation. The inversion in an ellipsoid is the generalization of the elliptic inversion to the three-dimensional space. We also study the inverse images…

Descriptors: Generalization, Transformations (Mathematics), Geometric Concepts, Geometry

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

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

Sprows, David – International Journal of Mathematical Education in Science and Technology, 2017

The fundamental theorem of arithmetic is one of those topics in mathematics that somehow "falls through the cracks" in a student's education. When asked to state this theorem, those few students who are willing to give it a try (most have no idea of its content) will say something like "every natural number can be broken down into a…

Descriptors: Arithmetic, Mathematical Logic, Number Concepts, Numeracy

Dunn, Peter K.; Donnison, Sharn; Cole, Rachel; Bulmer, Michael – International Journal of Mathematical Education in Science and Technology, 2017

Epidemiology is the study of the distribution of disease in human populations. This means that authentically teaching primary data collection in epidemiology is difficult as students cannot easily access suitable human populations. Using an action research methodology, this paper studied the use of a virtual human population (called "The…

Descriptors: Epidemiology, Biological Sciences, Statistical Data, Statistics

Kontorovich, Igor' – International Journal of Mathematical Education in Science and Technology, 2017

These classroom notes are focused on undergraduate students' understanding of the polysemous symbol of superscript (-1), which can be interpreted as a reciprocal or an inverse function. Examination of 240 scripts in a mid-term test identified that some first-year students struggle with choosing the contextually correct interpretation and there are…

Descriptors: Misconceptions, Mathematical Aptitude, Mathematics Achievement, Undergraduate Students

Azevedo, Douglas; Valentino, Michele C. – International Journal of Mathematical Education in Science and Technology, 2017

In this note, we propose a generalization of the famous Bernoulli differential equation by introducing a class of nonlinear first-order ordinary differential equations (ODEs). We provide a family of solutions for this introduced class of ODEs and also we present some examples in order to illustrate the applications of our result.

Descriptors: Generalization, Calculus, Validity, Mathematical Logic

Wares, Arsalan; Elstak, Iwan – International Journal of Mathematical Education in Science and Technology, 2017

The purpose of this paper is to describe the mathematics that emanates from the construction of an origami box. We first construct a simple origami box from a rectangular sheet and then discuss some of the mathematical questions that arise in the context of geometry and algebra. The activity can be used as a context for illustrating how algebra…

Descriptors: Geometry, Art Activities, Mathematics Activities, Algebra