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Patkin, Dorit; Plaksin, Olga – International Journal of Mathematical Education in Science and Technology, 2019

In this study, we aim to explore the extent of mathematics pre-service teachers' ability to apply their procedural understanding combined with spatial perception for drawing conceptual conclusions related to angles in a pyramid. The participants are 16 pre-service high school mathematics teachers. They have studied solid geometry during one…

Descriptors: Preservice Teachers, Mathematics Instruction, Mathematics Teachers, Spatial Ability

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

Yan, Xiaoheng; Mason, John; Hanna, Gila – International Journal of Mathematical Education in Science and Technology, 2019

This study investigates an exploratory teaching style used in an undergraduate geometry course to help students identify an ellipse. We attempt to probe beneath the surface of exploration to understand how the actions of teachers can contribute to developing students' competence in justifying an ellipse. We analyse the complex interactions between…

Descriptors: Mathematics Instruction, Teaching Methods, Geometry, Geometric Concepts

Hyland, Diarmaid; van Kampen, Paul; Nolan, Brien C. – International Journal of Mathematical Education in Science and Technology, 2018

This paper reports on the first part of a multiphase research project that seeks to identify and address the difficulties encountered by physics students when studying differential equations. Differential equations are used extensively by undergraduate physics students, particularly in the advanced modules of their degree. It is, therefore,…

Descriptors: Foreign Countries, Outcomes of Education, Teaching Methods, Equations (Mathematics)

Rylands, Leanne Jill; Shearman, Don – International Journal of Mathematical Education in Science and Technology, 2018

This paper considers the effects of both free optional mathematics learning support and engagement on the mathematics performance in a foundation mathematics subject of a cohort of engineering students entering university with poor mathematical skills. New engineering students were directed to either a foundation or standard mathematics subject…

Descriptors: Engineering Education, Technology Education, Mathematics Instruction, College Freshmen

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

Weinberg, Aaron; Thomas, Matthew – International Journal of Mathematical Education in Science and Technology, 2018

While 'flipped' classrooms have been heralded as a valuable tool for student learning, little is known about the process by which students learn from the out-of-class resources. This study investigates 12 undergraduate students' sense-making activities while watching videos about topics in introductory statistics. Analysis of interview data…

Descriptors: Academic Achievement, Comprehension, Video Technology, Lecture Method

Billman, Anneli; Harding, Ansie; Engelbrecht, Johann – International Journal of Mathematical Education in Science and Technology, 2018

The purpose of this case study is to explore the integration of technology into teaching at a mathematics department at a large South African University. Both quantitative and qualitative data were collected from staff teaching undergraduate mathematics. The study shows that many staff members feel that chalkboards are still more suitable than…

Descriptors: Chalkboards, Mathematics Instruction, Technology Integration, Comparative Analysis

Lloyd, Mary Elizabeth Riley – International Journal of Mathematical Education in Science and Technology, 2018

This article describes the beliefs and their transformations of members of a cohort of early-childhood, elementary and middle-level pre-service teachers (PSTs) as they professionally develop. A typological analysis of both quantitative and qualitative data collected between August 2011 and May 2013 was utilized to categorize how 40 PSTs' beliefs…

Descriptors: Preservice Teachers, Beliefs, Student Attitudes, Mathematics Instruction

Kuznetsova, Elena; Matytcina, Marina – International Journal of Mathematical Education in Science and Technology, 2018

The article deals with social, psychological and pedagogical aspects of teaching mathematics students at universities. The sociological portrait and the factors influencing a career choice of a mathematician have been investigated through the survey results of 198 first-year students of applied mathematics major at 27 state universities (Russia).…

Descriptors: Foreign Countries, College Mathematics, Mathematics Instruction, College Freshmen

Sevimli, Eyup – International Journal of Mathematical Education in Science and Technology, 2018

The purpose of this study was to determine how undergraduates comprehend the theoretical relations between differentiability and integrability concepts within the frame of proof schemes in analysis courses. The study participants were 172 freshmen from three different mathematics departments in Turkey. A questionnaire was used to evaluate the…

Descriptors: Undergraduate Students, Mathematics Instruction, Mathematical Logic, Knowledge Level

Ivanov, O. A.; Ivanova, V. V.; Saltan, A. A. – International Journal of Mathematical Education in Science and Technology, 2018

In this paper, we report on the results of an experiment in teaching discrete mathematics to students majoring in business informatics. We supplemented our problem-based approach to teaching the course with a set of Likert-scale surveys or questionnaires that helped improve the students' performance. On the one hand, these surveys gave us feedback…

Descriptors: Likert Scales, Questionnaires, Teaching Methods, Mathematics Instruction

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

Students use GeoGebra to explore the mathematical relations among different radii of circles in a triangle (circumcircle, incircle, excircles) and the sides and other segments in the triangle. The more formal mathematical development of the relations that follows the explorations is based on known geometrical properties, different formulas…

Descriptors: Mathematics Instruction, Computer Software, Educational Technology, Geometric Concepts

Tisdell, Christopher C. – International Journal of Mathematical Education in Science and Technology, 2017

Knowing an equation has a unique solution is important from both a modelling and theoretical point of view. For over 70 years, the approach to learning and teaching "well posedness" of initial value problems (IVPs) for second- and higher-order ordinary differential equations has involved transforming the problem and its analysis to a…

Descriptors: Equations (Mathematics), Teaching Methods, Problem Solving, Mathematical Models

Novak, Julia; Kensington-Miller, Barbara; Evans, Tanya – International Journal of Mathematical Education in Science and Technology, 2017

This paper describes students' perspectives of a one-off flipped lecture in a large undergraduate mathematics service course. The focus was on calculating matrix determinants and was designed specifically to introduce debate and argumentation into a mathematics lecture. The intention was to promote a deeper learning and understanding through…

Descriptors: Undergraduate Study, College Mathematics, Mathematics Instruction, Computation