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Megalou, Foteini – International Journal of Mathematical Education in Science and Technology, 2019

This paper describes a research project implemented in a course of Real Analysis II. The aim of this project is to analyse students' comprehension of the limiting behaviour of a function from "R"[superscript 2] to "R" at a point "P"[subscript 0] focusing on the formal definitions. Alternative definitions and other…

Descriptors: Mathematics Instruction, Mathematical Concepts, Foreign Countries, Definitions

Ponce Campuzano, Juan Carlos; Matthews, Kelly E.; Adams, Peter – International Journal of Mathematical Education in Science and Technology, 2018

In this paper, we report on an experimental activity for discussing the concepts of speed, instantaneous speed and acceleration, generally introduced in first year university courses of calculus or physics. Rather than developing the ideas of calculus and using them to explain these basic concepts for the study of motion, we led 82 first year…

Descriptors: Mathematics, History, College Freshmen, College Science

Flores, Alfinio; Park, Jungeun – International Journal of Mathematical Education in Science and Technology, 2018

We discuss how mathematics and secondary mathematics education majors developed an understanding of Fermat points for the triangle as well as Steiner points for the square and regular pentagon, and also of soap film configurations between parallel plates where forces are in equilibrium. The activities included the use of soap films and the…

Descriptors: Geometry, Mathematics Instruction, Geometric Concepts, Prediction

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

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

A simple discrete-time two-dimensional dynamical system is constructed and analyzed numerically, with modelling motivations drawn from the zombie virus of popular horror fiction, and with suggestions for further exercises or extensions suitable for an introductory undergraduate course.

Descriptors: Mathematical Models, Mathematics, Equations (Mathematics), Mathematical Concepts

McAlevey, Lynn G.; Stent, Alan F. – International Journal of Mathematical Education in Science and Technology, 2018

The treatment of kurtosis in textbooks is both sparse and contradictory with applications rarely discussed. To address this, an easily understood definition of kurtosis is introduced and important applications are demonstrated. Two different approaches to teaching kurtosis are presented based on a financial application.

Descriptors: Statistical Distributions, Undergraduate Students, Probability, Statistical Data

Buchbinder, Orly – International Journal of Mathematical Education in Science and Technology, 2018

The nine-point circle theorem is one of the most beautiful and surprising theorems in Euclidean geometry. It establishes an existence of a circle passing through nine points, all of which are related to a single triangle. This paper describes a set of instructional activities that can help students discover the nine-point circle theorem through…

Descriptors: Mathematical Logic, Validity, Geometry, Geometric Concepts

Dunn, Michelle; Loch, Birgit; Scott, Wendy – International Journal of Mathematical Education in Science and Technology, 2018

First-year engineering students often struggle to see the relevance of theoretical mathematical concepts for their future studies and professional careers. This is an issue, as students who do not see relevance in fundamental parts of their studies may disengage from these parts and focus their efforts on other subjects they think will be more…

Descriptors: Partnerships in Education, Mathematics, Engineering Education, Foreign Countries

Sedaghatjou, Mina – International Journal of Mathematical Education in Science and Technology, 2018

This study illustrates how mathematical communication and learning are inherently multimodal and embodied; hence, sight-disabled students are also able to conceptualize visuospatial information and mathematical concepts through tactile and auditory activities. Adapting a perceptuomotor integration approach, the study shows that the lack of access…

Descriptors: Mathematics Instruction, Advanced Courses, Foreign Countries, Visual Impairments

Zengin, Yilmaz – International Journal of Mathematical Education in Science and Technology, 2018

The purpose of this study was to investigate pre-service teachers' views about the history of mathematics course in which GeoGebra was used. The qualitative research design was used in this study. The participants of the study consisted of 23 pre-service mathematics teachers studying at a state university in Turkey. An open-ended questionnaire was…

Descriptors: Mathematics Instruction, Computer Software, Mathematical Concepts, Mathematical Logic

Martín-Molina, Verónica; González-Regaña, Alfonso J.; Gavilán-Izquierdo, José María – International Journal of Mathematical Education in Science and Technology, 2018

In this work, we study the mathematical practice of defining by mathematics researchers. Since research is an important part of many professional mathematicians, understanding how they do research is a necessary step before thinking about future researchers' undergraduate and postgraduate education. We focus on the defining process associated with…

Descriptors: Mathematics, Professional Personnel, Mathematics Instruction, Definitions

Park, Jungeun; DiNapoli, Joseph; Mixell, Robert A.; Flores, Alfinio – International Journal of Mathematical Education in Science and Technology, 2017

This study looks at the various verbal and non-verbal representations used in a process of modelling the number of annual plants over time. Analysis focuses on how various representations such as words, diagrams, letters and mathematical equations evolve in the mathematization process of the modelling context. Our results show that (1) visual…

Descriptors: Mathematics, Mathematics Instruction, Mathematical Models, Equations (Mathematics)

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

This study focuses on the mathematics department at a South African university and in particular on teaching of calculus to first year engineering students. The paper reports on a cause-effect analysis, often used for business improvement. The cause-effect analysis indicates that there are many factors that impact on secondary school teaching of…

Descriptors: College Freshmen, Calculus, Engineering Education, Teaching Models

Jones, Stephen L. – International Journal of Mathematical Education in Science and Technology, 2017

Dr RL Moore was undoubtedly one of the finest mathematics teachers ever. He developed a unique teaching method designed to teach his students to think like mathematicians. His method was not designed to convey any particular mathematical knowledge. Instead, it was designed to teach his students to think. Today, his method has been modified to…

Descriptors: Mathematics Education, Mathematics Instruction, Mathematics Teachers, Teaching Methods

Silber, Steven; Cai, Jinfa – International Journal of Mathematical Education in Science and Technology, 2017

This exploratory study examined how pre-service teachers (PSTs) pose mathematical problems for free and structured mathematical problem-posing conditions. It was hypothesized that PSTs would pose more complex mathematical problems under structured posing conditions, with increasing levels of complexity, than PSTs would pose under free posing…

Descriptors: Preservice Teachers, Mathematics Education, Mathematics Instruction, Mathematical Concepts