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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

Ozmen, Zeynep Medine; Guven, Bulent – International Journal of Mathematical Education in Science and Technology, 2019

Introductory statistics courses, which are important in preparing students for their daily lives, generally derive inferential statistics from informal knowledge. In this transition process, sampling distributions have an important place, yet research has shown that students often have difficulties with this concept. In order to increase their…

Descriptors: Student Attitudes, Sampling, Undergraduate Students, Correlation

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

Güler, Mustafa; Çelik, Derya – International Journal of Mathematical Education in Science and Technology, 2019

There is a growing emphasis in the teaching profession on pedagogical content knowledge (PCK) as an important knowledge component. The study reported in this article investigates Turkish prospective mathematics teachers' mathematics teaching knowledge in the numbers content domain. A series of 10 open-ended scenario-type questions were adopted to…

Descriptors: Preservice Teachers, Mathematics Teachers, Pedagogical Content Knowledge, Preservice Teacher Education

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

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

Hou, Juncheng; Nadarajah, Saralees – International Journal of Mathematical Education in Science and Technology, 2019

It is well known that two events A and B are independent if and only if . Here, we derive a condition for independence not well known. We then extend the condition for independence of n events.

Descriptors: Probability, Mathematical Concepts, Mathematics Education

Barahmand, Ali – International Journal of Mathematical Education in Science and Technology, 2019

This article seeks to explore the most important obstacles of inflexibility in mathematics teachers' behaviour in accepting new ideas, especially, while encountering a new situation. In so doing, the concept of equivalence between infinite sets, which is one of the challenging issues in mathematics teaching and learning, was selected as the…

Descriptors: Mathematics Instruction, Mathematics Teachers, Teacher Behavior, Barriers

Dolores-Flores, Crisólogo; Rivera-López, Martha Iris; García-García, Javier – International Journal of Mathematical Education in Science and Technology, 2019

This paper reports the results of a research exploring the mathematical connections of pre-university students while they solving tasks which involving rates of change. We assume mathematical connections as a cognitive process through which a person finds real relationships between two or more ideas, concepts, definitions, theorems, procedures,…

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

Swidan, Osama; Naftaliev, Elena – International Journal of Mathematical Education in Science and Technology, 2019

This study was designed to micro-analyze the role of the design of interactive diagrams in learning-teaching the concept of the indefinite integral. The presented case study focuses on the engagement of one pair of 17-year-old students with an interactive diagram for graphically learning-teaching the indefinite integral concept. The authors…

Descriptors: Undergraduate Students, Mathematics Education, Visual Aids, Mathematical Concepts

Dogan Coskun, Sumeyra; Isiksal Bostan, Mine – International Journal of Mathematical Education in Science and Technology, 2019

The purpose of this paper is to examine the cognitive demand levels of tasks used by an in-service primary teacher during length measurement and perimeter instruction and to examine a possible link between these tasks and the teacher's mathematical knowledge in teaching. For this purpose, a case study approach was used and the data was drawn from…

Descriptors: Inservice Teacher Education, Foreign Countries, Elementary School Teachers, Grade 4

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

The purpose of the study was to investigate the effect of inquiry-based instruction enriched with origami activities on 7th grade students' achievement in reflection symmetry and self-efficacy in geometry. Two classes, instructed by the first author of the paper, were randomly assigned as experimental and control groups. In order to gather data,…

Descriptors: Mathematics Instruction, Teaching Methods, Manipulative Materials, Mathematics Achievement

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

The purpose of this note is to discuss how paper folding can be used to find the exact trigonometric ratios of the following four angles: 22.5°, 67.5°, 27°, and 63°.

Descriptors: Mathematics Instruction, Teaching Methods, Manipulative Materials, Mathematical Concepts

Hoban, Richard A. – International Journal of Mathematical Education in Science and Technology, 2019

Many students do not have a deep understanding of the integral concept. This article defines what a deep understanding of the integral is in respect to integration involving one independent variable; briefly discusses factors which may inhibit such an understanding; and then describes the design of a mathematical resource for introducing students…

Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Calculus