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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

Ding, Meixia; Heffernan, Kayla – International Journal of Mathematical Education in Science and Technology, 2018

This study explores how preservice teachers (PSTs) transfer the intended specialized content knowledge (SCK) to elementary classrooms. Focusing on the case of the associative property of multiplication, we compared three PSTs' SCK during enacted lessons in fourth grade classrooms with their own learning in professional development (PD) settings.…

Descriptors: Preservice Teachers, Pedagogical Content Knowledge, Elementary School Teachers, Multiplication

Billman, Anneli; Harding, Ansie; Engelbrecht, Johann – International Journal of Mathematical Education in Science and Technology, 2018

The purpose of this case study is to explore the integration of technology into teaching at a mathematics department at a large South African University. Both quantitative and qualitative data were collected from staff teaching undergraduate mathematics. The study shows that many staff members feel that chalkboards are still more suitable than…

Descriptors: Chalkboards, Mathematics Instruction, Technology Integration, Comparative Analysis

Stanberry, Martene L. – International Journal of Mathematical Education in Science and Technology, 2018

This paper presents a case study for strategic engagement of students in a Calculus course in order to produce increased learning in the classroom. Since it has been shown that active learning can promote greater comprehension for students in science, technology, engineering, and mathematics (STEM) courses, the researcher utilized many types of…

Descriptors: Active Learning, Case Studies, Learner Engagement, College Mathematics

Boucher, Chris – International Journal of Mathematical Education in Science and Technology, 2018

This note presents a derivation of Viète's classic product approximation of pi that relies on only the Pythagorean Theorem. We also give a simple error bound for the approximation that, while not optimal, still reveals the exponential convergence of the approximation and whose derivation does not require Taylor's Theorem.

Descriptors: Mathematics Instruction, Geometry, Geometric Concepts, Algebra

Lloyd, Mary Elizabeth Riley – International Journal of Mathematical Education in Science and Technology, 2018

This article describes the beliefs and their transformations of members of a cohort of early-childhood, elementary and middle-level pre-service teachers (PSTs) as they professionally develop. A typological analysis of both quantitative and qualitative data collected between August 2011 and May 2013 was utilized to categorize how 40 PSTs' beliefs…

Descriptors: Preservice Teachers, Beliefs, Student Attitudes, Mathematics Instruction

Kuznetsova, Elena; Matytcina, Marina – International Journal of Mathematical Education in Science and Technology, 2018

The article deals with social, psychological and pedagogical aspects of teaching mathematics students at universities. The sociological portrait and the factors influencing a career choice of a mathematician have been investigated through the survey results of 198 first-year students of applied mathematics major at 27 state universities (Russia).…

Descriptors: Foreign Countries, College Mathematics, Mathematics Instruction, College Freshmen

Treacy, Páraic Thomas – International Journal of Mathematical Education in Science and Technology, 2018

Secondary level mathematics education in Ireland has recently experienced a period of significant change with the introduction of new curricula and the addition of an incentive to study upper secondary mathematics at the most advanced level (Higher Level). This incentive, typically referred to as 'bonus points', appears to have aided a significant…

Descriptors: Incentives, Student Motivation, Secondary School Mathematics, Mathematics Education

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

A geometrical task is presented with multiple solutions using different methods, in order to show the connection between various branches of mathematics and to highlight the importance of providing the students with an extensive 'mathematical toolbox'. Investigation of the property that appears in the task was carried out using a computerized tool.

Descriptors: Mathematics Instruction, Problem Solving, Geometry, Algebra

Cadeddu, L.; Cauli, A. – International Journal of Mathematical Education in Science and Technology, 2018

We deal with an application of partial differential equations to the correct definition of a wine cellar. We present some historical details about this problem. We also discuss how to build or renew a wine cellar, creating ideal conditions for the ageing process and improving the quality of wines. Our goal is to calculate the optimal depth…

Descriptors: Mathematical Applications, Mathematics Activities, Calculus, Science Education History

Poon, Kin Keung – International Journal of Mathematical Education in Science and Technology, 2018

GeoGebra is a mathematics software system that can serve as a tool for inquiry-based learning. This paper deals with the application of a fraction comparison software, which is constructed by GeoGebra, for use in a dynamic mathematics environment. The corresponding teaching and learning issues have also been discussed.

Descriptors: Mathematics Instruction, Computer Software, Computer Assisted Instruction, Active Learning