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Ozmen, Zeynep Medine; Guven, Bulent – International Journal of Mathematical Education in Science and Technology, 2019

Introductory statistics courses, which are important in preparing students for their daily lives, generally derive inferential statistics from informal knowledge. In this transition process, sampling distributions have an important place, yet research has shown that students often have difficulties with this concept. In order to increase their…

Descriptors: Student Attitudes, Sampling, Undergraduate Students, Correlation

Güler, Mustafa; Çelik, Derya – International Journal of Mathematical Education in Science and Technology, 2019

There is a growing emphasis in the teaching profession on pedagogical content knowledge (PCK) as an important knowledge component. The study reported in this article investigates Turkish prospective mathematics teachers' mathematics teaching knowledge in the numbers content domain. A series of 10 open-ended scenario-type questions were adopted to…

Descriptors: Preservice Teachers, Mathematics Teachers, Pedagogical Content Knowledge, Preservice Teacher Education

Megalou, Foteini – International Journal of Mathematical Education in Science and Technology, 2019

This paper describes a research project implemented in a course of Real Analysis II. The aim of this project is to analyse students' comprehension of the limiting behaviour of a function from "R"[superscript 2] to "R" at a point "P"[subscript 0] focusing on the formal definitions. Alternative definitions and other…

Descriptors: Mathematics Instruction, Mathematical Concepts, Foreign Countries, Definitions

Ngu, Bing Hiong – International Journal of Mathematical Education in Science and Technology, 2019

Solution representations can reveal how problem solvers communicate mathematical thinking and reasoning in problem-solving process. The present study examined the solution representations used by 20 pre-service teachers for the percentage change problems. The pre-service teachers were invited to solve a combination of simple and complex percentage…

Descriptors: Problem Solving, Mathematics Instruction, Foreign Countries, Thinking Skills

Swidan, Osama; Naftaliev, Elena – International Journal of Mathematical Education in Science and Technology, 2019

This study was designed to micro-analyze the role of the design of interactive diagrams in learning-teaching the concept of the indefinite integral. The presented case study focuses on the engagement of one pair of 17-year-old students with an interactive diagram for graphically learning-teaching the indefinite integral concept. The authors…

Descriptors: Undergraduate Students, Mathematics Education, Visual Aids, Mathematical Concepts

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

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

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

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

Gleason, Jim; Bagley, Spencer; Thomas, Matthew; Rice, Lisa; White, Diana – International Journal of Mathematical Education in Science and Technology, 2019

Concept inventories have become increasingly common in STEM disciplines as a means of assessing student conceptual understanding on a given topic, and overall they have led to significant reform in the teaching and learning of content in their respective disciplines. In mathematics, the use of the Calculus Concept Inventory seems, anecdotally and…

Descriptors: Calculus, Psychometrics, Undergraduate Students, Mathematics Instruction

Smith, Ryan C.; Shin, Dongjo; Kim, Somin – International Journal of Mathematical Education in Science and Technology, 2017

As technology becomes more ubiquitous in the mathematics classroom, teachers are being asked to incorporate it into their lessons more than ever before. The amount of resources available online is staggering and teachers need to be able to analyse and identify resources that would be most appropriate and effective with their students. This study…

Descriptors: Mathematics Teachers, Preservice Teachers, Mathematics Instruction, Teaching Experience

Ní Shé, Caitríona; Mac an Bhaird, Ciarán; Ní Fhloinn, Eabhnat; O'Shea, Ann – International Journal of Mathematical Education in Science and Technology, 2017

In this paper we report on the outcomes of two surveys carried out in higher education institutions of Ireland; one of students attending first-year undergraduate non-specialist mathematics modules and another of their lecturers. The surveys aimed to identify the topics that these students found difficult, whether they had most difficulty with the…

Descriptors: Foreign Countries, College Freshmen, Student Surveys, College Faculty

Brandt, Keith – International Journal of Mathematical Education in Science and Technology, 2017

I propose that students pay more attention to the approximations that lead to integral formulas when they study applications of the definite integral. The goal is to focus students on the underlying concepts and the definition of the definite integral--and to steer them away from memorizing formulas. To address this goal, I have written some…

Descriptors: Concept Teaching, Mathematical Formulas, Mathematical Applications, Mathematics Activities

Silber, Steven; Cai, Jinfa – International Journal of Mathematical Education in Science and Technology, 2017

This exploratory study examined how pre-service teachers (PSTs) pose mathematical problems for free and structured mathematical problem-posing conditions. It was hypothesized that PSTs would pose more complex mathematical problems under structured posing conditions, with increasing levels of complexity, than PSTs would pose under free posing…

Descriptors: Preservice Teachers, Mathematics Education, Mathematics Instruction, Mathematical Concepts