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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Howard, Emma; Meehan, Maria; Parnell, Andrew – International Journal of Mathematical Education in Science and Technology, 2018
In "Maths for Business", a mathematics module for non-mathematics specialists, students are given the choice of completing the module content via short online videos, live lectures or a combination of both. In this study, we identify students' specific usage patterns with both of these resources and discuss their reasons for the…
Descriptors: Lecture Method, Mathematics Instruction, Foreign Countries, Mixed Methods Research
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Flores, Alfinio; Park, Jungeun – International Journal of Mathematical Education in Science and Technology, 2018
We discuss how mathematics and secondary mathematics education majors developed an understanding of Fermat points for the triangle as well as Steiner points for the square and regular pentagon, and also of soap film configurations between parallel plates where forces are in equilibrium. The activities included the use of soap films and the…
Descriptors: Geometry, Mathematics Instruction, Geometric Concepts, Prediction
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