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Dockendorff, Monika; Solar, Horacio – International Journal of Mathematical Education in Science and Technology, 2018

This case study investigates the impact of the integration of information and communications technology (ICT) in mathematics visualization skills and initial teacher education programmes. It reports on the influence GeoGebra dynamic software use has on promoting mathematical learning at secondary school and on its impact on teachers' conceptions…

Descriptors: Information Technology, Technology Integration, Mathematics Instruction, Preservice Teacher Education

Gökkurt Özdemir, Burçin; Erdem, Emrullah; Örnek, Tugba; Soylu, Yasin – International Journal of Mathematical Education in Science and Technology, 2018

Many people consider problem solving as a complex process in which variables such as "x," "y" are used. Problems may not be solved by only using "variable." Problem solving can be rationalized and made easier using practical strategies. When especially the development of children at younger ages is considered, it is…

Descriptors: Middle School Teachers, Mathematics Teachers, Mathematics Skills, Problem Solving

Johansson, B. Tomas – International Journal of Mathematical Education in Science and Technology, 2018

Evaluation of the cosine function is done via a simple Cordic-like algorithm, together with a package for handling arbitrary-precision arithmetic in the computer program Matlab. Approximations to the cosine function having hundreds of correct decimals are presented with a discussion around errors and implementation.

Descriptors: Mathematics, Computation, Mathematical Concepts, Arithmetic

Libeskind, Shlomo; Stupel, Moshe; Oxman, Victor – International Journal of Mathematical Education in Science and Technology, 2018

In this paper, we highlight examples from school mathematics in which invariance did not receive the attention it deserves. We describe how problems related to invariance stimulated the interest of both teachers and students. In school mathematics, invariance is of particular relevance in teaching and learning geometry. When permitted change…

Descriptors: Mathematics Instruction, Mathematical Concepts, Geometry, Teaching Methods

McAlevey, Lynn G.; Stent, Alan F. – International Journal of Mathematical Education in Science and Technology, 2018

The treatment of kurtosis in textbooks is both sparse and contradictory with applications rarely discussed. To address this, an easily understood definition of kurtosis is introduced and important applications are demonstrated. Two different approaches to teaching kurtosis are presented based on a financial application.

Descriptors: Statistical Distributions, Undergraduate Students, Probability, Statistical Data

Buchbinder, Orly – International Journal of Mathematical Education in Science and Technology, 2018

The nine-point circle theorem is one of the most beautiful and surprising theorems in Euclidean geometry. It establishes an existence of a circle passing through nine points, all of which are related to a single triangle. This paper describes a set of instructional activities that can help students discover the nine-point circle theorem through…

Descriptors: Mathematical Logic, Validity, Geometry, Geometric Concepts

Wares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2018

The purpose of this paper is to provide examples of "non-traditional" proof-related activities that can explored in a dynamic geometry environment by university and high school students of mathematics. These propositions were encountered in the dynamic geometry environment. The author believes that teachers can ask their students to…

Descriptors: Teaching Methods, Validity, Mathematical Logic, High School Students

Karadeniz, Ilyas; Thompson, Denisse R. – International Journal of Mathematical Education in Science and Technology, 2018

Graphing calculators are hand-held technological tools currently used in mathematics classrooms. Teachers' perspectives on using graphing calculators are important in terms of exploring what teachers think about using such technology in advanced mathematics courses, particularly precalculus courses. A descriptive intrinsic case study was conducted…

Descriptors: Mathematics Instruction, Graphing Calculators, Teacher Attitudes, Mathematics Teachers

Dunn, Michelle; Loch, Birgit; Scott, Wendy – International Journal of Mathematical Education in Science and Technology, 2018

First-year engineering students often struggle to see the relevance of theoretical mathematical concepts for their future studies and professional careers. This is an issue, as students who do not see relevance in fundamental parts of their studies may disengage from these parts and focus their efforts on other subjects they think will be more…

Descriptors: Partnerships in Education, Mathematics, Engineering Education, Foreign Countries

Sedaghatjou, Mina – International Journal of Mathematical Education in Science and Technology, 2018

This study illustrates how mathematical communication and learning are inherently multimodal and embodied; hence, sight-disabled students are also able to conceptualize visuospatial information and mathematical concepts through tactile and auditory activities. Adapting a perceptuomotor integration approach, the study shows that the lack of access…

Descriptors: Mathematics Instruction, Advanced Courses, Foreign Countries, Visual Impairments

Norqvist, Mathias – International Journal of Mathematical Education in Science and Technology, 2018

Studies in mathematics education often point to the necessity for students to engage in more cognitively demanding activities than just solving tasks by applying given solution methods. Previous studies have shown that students that engage in creative mathematically founded reasoning to construct a solution method, perform significantly better in…

Descriptors: Mathematics Instruction, Problem Solving, Secondary School Students, Secondary School Mathematics

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