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Nadarajah, Saralees; Chu, Jeffrey; Chan, Stephen – International Journal of Mathematical Education in Science and Technology, 2019

A correlation coefficient taking positive values is introduced. It is more easily understood than other correlation measures especially in social science contexts. Estimation issues are addressed. A data application is given.

Descriptors: Correlation, Mathematics Instruction, Computation, Statistical Analysis

Johansson, B. Tomas – International Journal of Mathematical Education in Science and Technology, 2019

A method based on oblique projection is presented for construction of sundials. The derived formulas are classical, but usage of vectors and projections renders a coherent presentation rather than a number of special cases. The presented work is aimed to be useful for those taking a beginning module on vector algebra.

Descriptors: Mathematics Instruction, Algebra, Computation, Mathematical Formulas

Gero, Aharon; Levin, Ilya – International Journal of Mathematical Education in Science and Technology, 2019

The invention of the computer has led to the establishment of a new research paradigm, computation, which has recently become more and more popular in scientific exploration. However, computation is not well represented in high school and university curricula in science and engineering, although it applies to a wide range of disciplines beyond…

Descriptors: Computation, Thinking Skills, Problem Solving, Mathematics Skills

Tisdell, Christopher C. – International Journal of Mathematical Education in Science and Technology, 2019

Recently, Robin claimed to introduce clever innovations ('wrinkles') into the mathematics education literature concerning the solutions, and methods of solution, to differential equations. In particular, Robin formulated an iterative scheme in the form of a single integral representation. These ideas were applied to a range of examples involving…

Descriptors: Problem Solving, Equations (Mathematics), Mathematics Education, Mathematics Instruction

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

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

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

Sigler, Avi; Stupel, Moshe; Flores, Alfinio – International Journal of Mathematical Education in Science and Technology, 2017

Students use GeoGebra to explore the mathematical relations among different radii of circles in a triangle (circumcircle, incircle, excircles) and the sides and other segments in the triangle. The more formal mathematical development of the relations that follows the explorations is based on known geometrical properties, different formulas…

Descriptors: Mathematics Instruction, Computer Software, Educational Technology, Geometric Concepts

McCartney, Mark – International Journal of Mathematical Education in Science and Technology, 2017

A number of probabilistic experiments are described to estimate e, p and v2, with results from computer simulations being used to investigate convergence. A number of possible classroom exercises and extensions are presented.

Descriptors: Probability, Mathematics Instruction, Computer Simulation, Teaching Methods

Novak, Julia; Kensington-Miller, Barbara; Evans, Tanya – International Journal of Mathematical Education in Science and Technology, 2017

This paper describes students' perspectives of a one-off flipped lecture in a large undergraduate mathematics service course. The focus was on calculating matrix determinants and was designed specifically to introduce debate and argumentation into a mathematics lecture. The intention was to promote a deeper learning and understanding through…

Descriptors: Undergraduate Study, College Mathematics, Mathematics Instruction, Computation

Bansilal, Sarah – International Journal of Mathematical Education in Science and Technology, 2017

Inflation rates are often reported in the media and interpreted differently by various people. The purpose of the study was to explore mathematical literacy teachers' written responses to questions based on the concept of percentage increase and inflation. The participants were a group of 59 in-service South African teachers who were enrolled on a…

Descriptors: Foreign Countries, Economic Climate, Faculty Development, Mathematics Instruction

Benakli, Nadia; Kostadinov, Boyan; Satyanarayana, Ashwin; Singh, Satyanand – International Journal of Mathematical Education in Science and Technology, 2017

The goal of this paper is to promote computational thinking among mathematics, engineering, science and technology students, through hands-on computer experiments. These activities have the potential to empower students to learn, create and invent with technology, and they engage computational thinking through simulations, visualizations and data…

Descriptors: Calculus, Probability, Data Analysis, Computation

Dana-Picard, Thierry; Zeitoun, David – International Journal of Mathematical Education in Science and Technology, 2017

We study a 1-parameter family of trigonometric definite integrals, showing how the joint usage of Information and Communication Technologies and paper-and-pencil work lead to different outputs, revealing different mathematical meanings and different concrete meanings. This family of integrals is useful for describing a phenomenon in soil…

Descriptors: Trigonometry, Information Technology, Computation, Soil Science

Lockwood, Elise; Erickson, Sarah – International Journal of Mathematical Education in Science and Technology, 2017

Counting problems offer rich opportunities for students to engage in mathematical thinking, but they can be difficult for students to solve. In this paper, we present a study that examines student thinking about one concept within counting, factorials, which are a key aspect of many combinatorial ideas. In an effort to better understand students'…

Descriptors: Undergraduate Students, Mathematical Concepts, Computation, Semi Structured Interviews

Sedaghatjou, Mina; Campbell, Stephen R. – International Journal of Mathematical Education in Science and Technology, 2017

This paper explores how a young child (56 m) builds an understanding of the cardinality principle through communicative, touchscreen-based activities involving talk, gesture and body engagement working via multimodal, touchscreen interface using contemporary mobile technology. Drawing upon Nemirovsky's perceptuomotor integration theoretical lens…

Descriptors: Manipulative Materials, Phenomenology, Preschool Children, Mathematics Instruction