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Wilson, Aaron T.; Grigorian, Sergey – International Journal of Mathematical Education in Science and Technology, 2019

College students may be seen as near-peers to high school students and high school students are often able to see themselves in the college students who are but one step ahead. This nearness in maturity and educational level may place college students in a particularly powerful position when it comes to reaching out to high school students to…

Descriptors: Mathematics Instruction, Mentors, High School Students, Student Attitudes

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

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

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

Koparan, Timur – International Journal of Mathematical Education in Science and Technology, 2019

The Fatih Project in Turkey has improved software in mathematics teaching such as data analysis software. As a result, the need to inquire into the efficiency of computer-supported learning environments has emerged. This study aims to examine the effect of dynamic data analysis software-supported learning environments on secondary school students'…

Descriptors: Foreign Countries, Computer Software, Educational Technology, Technology Uses in Education

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

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

Nortvedt, Guri A.; Siqveland, Arvid – International Journal of Mathematical Education in Science and Technology, 2019

Are students transitioning from the secondary level to university studies in mathematics and engineering adequately prepared for education at the tertiary level? In this study, we discuss the prior mathematical knowledge and skills demonstrated by Norwegian engineering ("N" = 1537) and calculus ("N" = 626) university students…

Descriptors: Mathematics Instruction, Calculus, Engineering Education, Foreign Countries

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

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

Gilboa, Nava; Kidron, Ivy; Dreyfus, Tommy – International Journal of Mathematical Education in Science and Technology, 2019

We analyze the process of constructing a definition within the theoretical framework of "Abstraction in Context." Pairs of students were engaged in a task designed to engender a need for a definition of a tangent to a graph at a given point, and lead to constructing a definition following that need. The results of our analysis point to…

Descriptors: Mathematics Instruction, Definitions, Mathematics Teachers, High School Students

Avcu, Ramazan – International Journal of Mathematical Education in Science and Technology, 2019

In this study, I analyzed and compared definitions of special quadrilaterals presented in the US and Turkish secondary school mathematics textbooks. To this end, seven textbooks from each country were examined based on the following features of mathematical definitions: form of presentation and mathematical correctness, minimality, the nature of…

Descriptors: Foreign Countries, Textbooks, Textbook Content, Secondary School Mathematics

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