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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

Weinberg, Aaron; Thomas, Matthew – International Journal of Mathematical Education in Science and Technology, 2018

While 'flipped' classrooms have been heralded as a valuable tool for student learning, little is known about the process by which students learn from the out-of-class resources. This study investigates 12 undergraduate students' sense-making activities while watching videos about topics in introductory statistics. Analysis of interview data…

Descriptors: Academic Achievement, Comprehension, Video Technology, Lecture Method

Dobbs, David E. – International Journal of Mathematical Education in Science and Technology, 2018

Let R be an integral domain with quotient field F, let S be a non-empty subset of R and let n = 2 be an integer. If there exists a rational function ?: S [right arrow] F such that ?(a)[superscript n] = a for all a ? S, then S is finite. As a consequence, if F is an ordered field (for instance,[real numbers]) and S is an open interval in F, no such…

Descriptors: Numbers, Mathematics Instruction, Algebra, Mathematical Formulas

Pruitt, Kenny; Shannon, A. G. – International Journal of Mathematical Education in Science and Technology, 2018

The purpose of this paper is to consider analogues of the twin-prime conjecture in various classes within modular rings.

Descriptors: Mathematics Instruction, Numbers, Teaching Methods, Arithmetic

Bütüner, Suphi Önder – International Journal of Mathematical Education in Science and Technology, 2018

The aim of this study is to compare students' use of number sense strategies based on their mathematics success levels. Participants were 129 seventh graders from three elite secondary schools in Trabzon. Data were collected through a written examination with 10 problems and semi-structured interviews. Interview data were analyzed by considering…

Descriptors: Comparative Analysis, Number Concepts, Mathematics Achievement, Secondary School Students

Karaoglan Yilmaz, Fatma Gizem; Özdemir, Burçin Gökkurt; Yasar, Zehra – International Journal of Mathematical Education in Science and Technology, 2018

The aim of this study is to determine the mistakes and misconceptions about fractions of the fourth-grade students in a primary school and to eliminate these mistakes and misconceptions through digital stories. The study has been conducted with a total of 25 students in the fourth-grade of a private primary school in Turkey. An action research…

Descriptors: Mathematics Instruction, Fractions, Mathematical Concepts, Misconceptions

Cançado, Luciana; Reisel, John R.; Walker, Cindy M. – International Journal of Mathematical Education in Science and Technology, 2018

Many interventions have been proposed to improve the retention and graduation rates of engineering students. One such intervention is to use study groups for first-year college students; such groups provide a structured environment in which the students can learn course material from each other outside of class and can provide the students with a…

Descriptors: College Freshmen, College Mathematics, Communities of Practice, Group Instruction