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Glaister, P. – International Journal of Mathematical Education in Science and Technology, 2019

In this note we introduce an infinite series which represents an interesting challenge for students with the relevant background.

Descriptors: Mathematical Formulas, Mathematics, Problem Solving, Fractions

Palatnik, Alik; Sigler, Avi – International Journal of Mathematical Education in Science and Technology, 2019

The introduction of auxiliary elements as a method of solving problems in high-school geometry is considered here from two perspectives: first, to elicit recalling some known result or concretizing a definition and, second, as a means of shifting the focus and structure of the students' attention. We present and compare various examples of how…

Descriptors: Geometric Concepts, Geometry, Secondary School Mathematics, High School Students

Maxwell, Mary; Gleason, Jim – International Journal of Mathematical Education in Science and Technology, 2019

Many large universities, community colleges and some smaller four-year colleges are turning to hybrid or online instruction for remedial and entry level mathematics courses, often assessed using online exams in a proctored computer lab environment. Faculty face the task of choosing questions from a publisher's text bank with very little, if any,…

Descriptors: Item Response Theory, Test Reliability, Item Banks, Algebra

Wares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2019

These notes discuss several related propositions in geometry that can be explored in a dynamic geometry environment. The propositions involve an unexpected property of quadrilaterals.

Descriptors: Geometry, Geometric Concepts, Secondary School Mathematics, High School Students

Hou, Juncheng; Nadarajah, Saralees – International Journal of Mathematical Education in Science and Technology, 2019

It is well known that two events A and B are independent if and only if . Here, we derive a condition for independence not well known. We then extend the condition for independence of n events.

Descriptors: Probability, Mathematical Concepts, Mathematics Education

Wares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2019

The purpose of this note is to discuss how paper folding can be used to find the exact trigonometric ratios of the following four angles: 22.5°, 67.5°, 27°, and 63°.

Descriptors: Mathematics Instruction, Teaching Methods, Manipulative Materials, Mathematical Concepts

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

Hoban, Richard A. – International Journal of Mathematical Education in Science and Technology, 2019

Many students do not have a deep understanding of the integral concept. This article defines what a deep understanding of the integral is in respect to integration involving one independent variable; briefly discusses factors which may inhibit such an understanding; and then describes the design of a mathematical resource for introducing students…

Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Calculus

Verzosa, Debbie Marie B.; De Las Peñas, Ma. Louise Antonette N.; Aberin, Maria Alva Q.; Garces, Len Patrick Dominic M. – International Journal of Mathematical Education in Science and Technology, 2019

This paper presents apps designed to assist students in understanding and developing proofs in geometric theorems. These technologies focus on triangle congruence, triangle similarity and properties of parallelograms. Focus group discussions and initial testing of the apps revealed that the apps offered a more engaging medium for learning proving…

Descriptors: Computer Oriented Programs, Mathematics Instruction, Scaffolding (Teaching Technique), Mathematical Logic

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

Wares, Arsalan; Elstak, Iwan – International Journal of Mathematical Education in Science and Technology, 2019

The purpose of these notes is to provide examples of large-scale geometry problems that have the potential to promote "constructive struggling" in high-school geometry classrooms. These problems are suitable for being explored in a dynamic geometry environment. The notes also contain brief sketches of solutions to the two problems.

Descriptors: Mathematics Instruction, Geometry, Problem Solving, High School Students

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

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