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Glaister, P. – International Journal of Mathematical Education in Science and Technology, 2019

In this note we introduce an infinite series which represents an interesting challenge for students with the relevant background.

Descriptors: Mathematical Formulas, Mathematics, Problem Solving, Fractions

Ayan, Rukiye; Isiksal-Bostan, Mine – International Journal of Mathematical Education in Science and Technology, 2019

The purpose of this study was to examine middle school students' proportional reasoning, solution strategies and difficulties in real life contexts in the domain of geometry and measurement. The underlying reasons of the difficulties were investigated as well. Mixed research design was adopted for the aims of the study by collecting data through…

Descriptors: Middle School Students, Mathematics Instruction, Mathematical Concepts, Geometry

Tisdell, Christopher C. – International Journal of Mathematical Education in Science and Technology, 2019

Recently, claims of a 'new and straightforward' method of solution to second-order linear difference equations have appeared in the mathematics education literature from Rivera-Figueroa and Rivera-Rebolledo. The claim of novelty is based on an assumption that 'since the equation is worked in its canonical form', the method within this context must…

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

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

Dede, Ayse Tekin – International Journal of Mathematical Education in Science and Technology, 2019

Socio-cultural theories in mathematics education field recently emphasize the importance of the collective argumentation within small-group work. Since mathematical modelling tasks require a process in which students search for a solution for real life problems through small-group work, the arguments in this process become an issue of concern.…

Descriptors: Mathematical Models, Problem Solving, Persuasive Discourse, Preservice Teachers

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

Ngu, Bing Hiong – International Journal of Mathematical Education in Science and Technology, 2019

Solution representations can reveal how problem solvers communicate mathematical thinking and reasoning in problem-solving process. The present study examined the solution representations used by 20 pre-service teachers for the percentage change problems. The pre-service teachers were invited to solve a combination of simple and complex percentage…

Descriptors: Problem Solving, Mathematics Instruction, Foreign Countries, Thinking Skills

Santos-Trigo, Manuel; Reyes-Martínez, Isaid – International Journal of Mathematical Education in Science and Technology, 2019

The aim of this study was to characterize and discuss ways of reasoning that prospective high school mathematics teachers develop and exhibit in a problem-solving scenario that involves the coordinated use of digital technologies. A conceptual framework that includes Virtual Learning Spaces (VLS) and Resources, Activities, Support and Evaluation…

Descriptors: Secondary School Teachers, High Schools, Preservice Teachers, Problem Solving

Palatnik, Alik; Sigler, Avi – International Journal of Mathematical Education in Science and Technology, 2019

The introduction of auxiliary elements as a method of solving problems in high-school geometry is considered here from two perspectives: first, to elicit recalling some known result or concretizing a definition and, second, as a means of shifting the focus and structure of the students' attention. We present and compare various examples of how…

Descriptors: Geometric Concepts, Geometry, Secondary School Mathematics, High School Students

Wares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2019

These notes discuss several related propositions in geometry that can be explored in a dynamic geometry environment. The propositions involve an unexpected property of quadrilaterals.

Descriptors: Geometry, Geometric Concepts, Secondary School Mathematics, High School Students

Mohammad, Abdul Moeed – International Journal of Mathematical Education in Science and Technology, 2019

We explore students choice of using computer algebra systems (CAS) in problem-solving relative to their self-reported attitude towards learning mathematics with CAS. Our research design is a case study of nine Norwegian upper-secondary mathematics students with a wide range of attitude towards CAS. Our findings on routine problems indicate that…

Descriptors: Computer Uses in Education, Student Attitudes, Problem Solving, Decision Making

Glassmeyer, David; Brakoniecki, Aaron; Amador, Julie M. – International Journal of Mathematical Education in Science and Technology, 2019

Including opportunities for students to experience uncertainty in solving mathematical tasks can prompt learners to resolve the uncertainty, leading to mathematical understanding. In this article, we examine how preservice secondary mathematics teachers' thinking about a trigonometric relationship was impacted by a series of tasks that prompted…

Descriptors: Mathematics Instruction, Problem Solving, Concept Formation, Preservice Teachers

Tisdell, Christopher C. – International Journal of Mathematical Education in Science and Technology, 2019

Recently, Wilmer III and Costa introduced a method into the mathematics education research literature which they employed to construct solutions to certain classes of ordinary differential equations. In this article, we build on their ideas in the following ways. We establish a link between their approach and the method of successive…

Descriptors: Mathematics Instruction, Problem Solving, Equations (Mathematics), Teaching Methods

García-García, Javier; Dolores-Flores, Crisólogo – International Journal of Mathematical Education in Science and Technology, 2018

In this article, we report the results of research that explores the intra-mathematical connections that high school students make when they solve Calculus tasks, in particular those involving the derivative and the integral. We consider mathematical connections as a cognitive process through which a person relates or associates two or more ideas,…

Descriptors: Foreign Countries, High School Students, Mathematics Skills, Calculus

Ruiz-López, Natalia – International Journal of Mathematical Education in Science and Technology, 2018

This paper, which describes a study undertaken with pairs of future primary teachers using GeoGebra software to solve geometry problems, includes a brief literature review, the theoretical framework and methodology used. An analysis of the instrumental genesis process for a pair participating in the case study is also provided. This analysis…

Descriptors: Geometry, Computer Software, Computer Uses in Education, Preservice Teachers