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Glassmeyer, David; Brakoniecki, Aaron; Amador, Julie M. – International Journal of Mathematical Education in Science and Technology, 2019

Including opportunities for students to experience uncertainty in solving mathematical tasks can prompt learners to resolve the uncertainty, leading to mathematical understanding. In this article, we examine how preservice secondary mathematics teachers' thinking about a trigonometric relationship was impacted by a series of tasks that prompted…

Descriptors: Mathematics Instruction, Problem Solving, Concept Formation, Preservice Teachers

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

Recently, Wilmer III and Costa introduced a method into the mathematics education research literature which they employed to construct solutions to certain classes of ordinary differential equations. In this article, we build on their ideas in the following ways. We establish a link between their approach and the method of successive…

Descriptors: Mathematics Instruction, Problem Solving, Equations (Mathematics), Teaching Methods

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

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

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

Lim, Kien H. – International Journal of Mathematical Education in Science and Technology, 2019

An exploratory study was conducted to investigate the use of magic activities in a math course for prospective middle-school math teachers. This research report focuses on a lesson using two versions of math magic: (1) the "5-4-3-2-1-½ Magic" involves having students choose a secret number and apply six arithmetic operations in sequence…

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

Collins, Benjamin V. C. – International Journal of Mathematical Education in Science and Technology, 2019

The flipped classroom is becoming a popular course structure in many academic disciplines, but particularly in STEM disciplines, including mathematics. Considerable research has addressed potential advantages and challenges of teaching a flipped course, as well as examining students' attitudes towards the flipped classroom. Studies on students'…

Descriptors: Calculus, Blended Learning, STEM Education, Student Attitudes

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

Hammoudi, Mohamad M. – International Journal of Mathematical Education in Science and Technology, 2019

The purpose of the study is to examine whether there is a significant relationship between students' motivation to succeed in introductory mathematics courses offered by universities in the United Arab Emirates (UAE) as the dependent variable of the research and another five independent variables including cognitive mathematics self-concept,…

Descriptors: Predictor Variables, Student Motivation, Mathematics Achievement, Mathematics Instruction

Rivera-Figueroa, Antonio; Guevara-Basaldúa, Víctor – International Journal of Mathematical Education in Science and Technology, 2019

The purposes of calculus courses are often the acquisition of knowledge itself, the development of skills and the understanding of important concepts, such as functions, derivatives, the chain rule, integrals and the fundamental theorem of calculus. However, full conceptual understanding is frequently not achieved. In this article, we examine the…

Descriptors: Calculus, Engineering Education, Mathematics Instruction, Skill Development

Durán, Pablo A.; Marshall, Jill A. – International Journal of Mathematical Education in Science and Technology, 2019

The purpose of this study was to investigate the mathematical needs of biological sciences undergraduate students. Student needs were measured through a needs assessment methodology scheme that included a content analysis of peer-reviewed journals, a nationwide cross-sectional survey, and semi-structured interviews. The research question that…

Descriptors: Biological Sciences, Undergraduate Students, Needs Assessment, Student Needs

Hong, Dae S.; Choi, Kyong Mi – International Journal of Mathematical Education in Science and Technology, 2019

In this study, we examined five limit lessons using Mathematical Tasks Framework to understand students' opportunities to learn cognitively challenging tasks and maintain cognitive demand during limit lessons. Our analysis of Dr A's five lessons shows that students rarely had opportunities to maintain or increase cognitive demand. There are two…

Descriptors: Cognitive Processes, Difficulty Level, Mathematics Instruction, Calculus

Laudano, F. – International Journal of Mathematical Education in Science and Technology, 2019

We propose a generalization of the classical Remainder Theorem for polynomials over commutative coefficient rings that allows calculating the remainder without using the long division method. As a consequence we obtain an extension of the classical Factor Theorem that provides a general divisibility criterion for polynomials. The arguments can be…

Descriptors: Generalization, Inferences, Algebra, Mathematical Formulas

Ponce Campuzano, J. C.; Roberts, A. P.; Matthews, K. E.; Wegener, M. J.; Kenny, E. P.; McIntyre, T. J. – International Journal of Mathematical Education in Science and Technology, 2019

In this paper we present two simulations designed with GeoGebra that illustrate dynamically a key concept in Vector Calculus: line integrals of vector fields, along with other associated mathematical properties and applications. Students are not required to know the GeoGebra environment: a user-friendly interface with buttons, functionalities and…

Descriptors: Visualization, Computer Simulation, Calculus, Mathematical Concepts

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

Recently, Gauthier introduced a method to construct solutions to the equations of motion associated with oscillating systems into the mathematics education research literature. In particular, Gauthier's approach involved certain manipulations of the differential equations; and drew on the theory of complex variables.Motivated by the work of…

Descriptors: Teaching Methods, Mathematics Instruction, Calculus, Motion