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Son, Ji-Won; Hu, Qintong; Lim, Woong – International Journal of Mathematical Education in Science and Technology, 2019

Despite the importance of computational estimation skill for the improvement of number sense, little research exists on preservice teachers' estimation skills and their view on estimation in the US context. This study examined the computational estimation skill of 58 preservice elementary teachers (PSTs) and its relationship to their views of the…

Descriptors: Computation, Mental Computation, Mathematics Instruction, Preservice Teachers

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

The first aim of the study was to develop a valid and reliable scale to measure attitudes of middle-school students towards the use of technology in mathematics lessons and then, to examine elementary students' attitudes towards the use of technology in mathematics lesson. The study further aimed to investigate gender differences in attitudes…

Descriptors: Middle School Students, Student Attitudes, Mathematics Instruction, Middle School Mathematics

Hammoudi, Mohamad M. – International Journal of Mathematical Education in Science and Technology, 2019

The purpose of the study is to examine whether there is a significant relationship between students' motivation to succeed in introductory mathematics courses offered by universities in the United Arab Emirates (UAE) as the dependent variable of the research and another five independent variables including cognitive mathematics self-concept,…

Descriptors: Predictor Variables, Student Motivation, Mathematics Achievement, Mathematics Instruction

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

We bring out an experience of organizing mathematical competitions that can be used as a medium to motivate the student and teacher minds in new directions of thinking. This can contribute to fostering research, innovation and provide a hands-on experience of mathematical concepts with the real world. Mathematical competitions can be used to build…

Descriptors: Mathematics Education, Engineering Education, Mathematical Models, Competition

Kamber, Dina; Takaci, Djurdjica – International Journal of Mathematical Education in Science and Technology, 2018

In this paper, research on some problematic aspects high school students have in learning trigonometry is presented. It is based on making sense of mathematics through perception, operation and reason in the case of trigonometry. We analyzed students' understanding of trigonometric concepts in the frame of triangle and circle trigonometry…

Descriptors: Trigonometry, Mathematics Instruction, Secondary School Mathematics, High School Students

Daher, Wajeeh; Musallam, Nadera – International Journal of Mathematical Education in Science and Technology, 2018

The angle topic is central to the development of geometric knowledge. Two of the basic concepts associated with this topic are the adjacent and opposite angles. It is the goal of the present study to analyze, based on the cultural historical semiotics framework, how high-achieving seventh grade students objectify the adjacent and opposite angles'…

Descriptors: Geometric Concepts, Grade 7, High Achievement, Mathematics Instruction

Lee, Wha-Suck; Engelbrecht, Johann; Moller, Rita – International Journal of Mathematical Education in Science and Technology, 2018

Tensor calculus is critical in the study of the vector calculus of the surface of a body. Indeed, tensor calculus is a natural step-up for vector calculus. This paper presents some pitfalls of a traditional course in vector calculus in transitioning to tensor calculus. We show how a deeper emphasis on traditional topics such as the Jacobian can…

Descriptors: Calculus, Algebra, Geometric Concepts, Mathematics Instruction

Sinitsky, Ilya; Stupel, Moshe; Sinitsky, Marina – International Journal of Mathematical Education in Science and Technology, 2018

The paper explores the division of a polygon into equal-area pieces using line segments originating at a common point. The mathematical background of the proposed method is very simple and belongs to secondary school geometry. Simple examples dividing a square into two, four or eight congruent pieces provide a starting point to discovering how to…

Descriptors: Geometric Concepts, Plane Geometry, Arithmetic, Mathematics Instruction

Akhtyamov, Azamat; Amram, Meirav; Mouftakhov, Artour – International Journal of Mathematical Education in Science and Technology, 2018

In this paper, we reconstruct matrices from their minors, and give explicit formulas for the reconstruction of matrices of orders 2 × 3, 2 × 4, 2 × n, 3 × 6 and m × n. We also formulate the Plücker relations, which are the conditions of the existence of a matrix related to its given minors.

Descriptors: Matrices, Algebra, Mathematics Instruction, Mathematical Models

Horzum, Tugba; Ertekin, Erhan – International Journal of Mathematical Education in Science and Technology, 2018

The purpose of this study is to analyze what kind of conceptions prospective mathematics teachers (PMTs) have about the base concept (BC). One-hundred and thirty-nine PMTs participated in the study. In this qualitative research, data were obtained through open-ended questions, the semi-structured interviews and pictures of geometric figures drawn…

Descriptors: Preservice Teachers, Mathematics Teachers, Mathematics Education, Foreign Countries

Kar, Tugrul; Güler, Gürsel; Sen, Ceylan; Özdemir, Ercan – International Journal of Mathematical Education in Science and Technology, 2018

This study analyzed the methods used to teach the multiplication of fractions in Turkish and American textbooks. Two Turkish textbooks and two American textbooks, "Everyday Mathematics" (EM) and "Connected Mathematics 3" (CM), were analyzed. The analyses focused on the content and the nature of the mathematical problems…

Descriptors: Multiplication, Fractions, Textbook Evaluation, Textbook Content

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

Moreno-Armella, Luis; Brady, Corey; Elizondo-Ramirez, Rubén – International Journal of Mathematical Education in Science and Technology, 2018

This paper explores a deep transformation in mathematical epistemology and its consequences for teaching and learning. With the advent of non-Euclidean geometries, direct, iconic correspondences between physical space and the deductive structures of mathematical inquiry were broken. For non-Euclidean ideas even to become "thinkable" the…

Descriptors: Geometry, Mathematics, Mathematics Instruction, Geometric Concepts

Caglayan, Günhan – International Journal of Mathematical Education in Science and Technology, 2018

This linear algebra note offers teaching and learning ideas in the treatment of the inner product space R[superscript m x n] in a technology-supported learning environment. Classroom activities proposed in this note demonstrate creative ways of integrating MATLAB technology into various properties of Frobenius inner product as visualization tools…

Descriptors: Algebra, Class Activities, Mathematics Instruction, Computer Uses in Education

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