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Trenholm, S.; Hajek, B.; Robinson, C. L.; Chinnappan, M.; Albrecht, A.; Ashman, H. – International Journal of Mathematical Education in Science and Technology, 2019

The use of recorded lecture videos (RLVs) in mathematics instruction continues to advance. Prior research at the post-secondary level has indicated a tendency for RLV use in mathematics to be negatively correlated with academic performance, although it is unclear whether this is because regular users are generally weaker mathematics students…

Descriptors: Undergraduate Students, College Mathematics, Mathematics Instruction, Learner Engagement

Wilson, Aaron T.; Grigorian, Sergey – International Journal of Mathematical Education in Science and Technology, 2019

College students may be seen as near-peers to high school students and high school students are often able to see themselves in the college students who are but one step ahead. This nearness in maturity and educational level may place college students in a particularly powerful position when it comes to reaching out to high school students to…

Descriptors: Mathematics Instruction, Mentors, High School Students, Student Attitudes

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

Bertacchini, Francesca; Bilotta, Eleonora; Caldarola, Fabio; Pantano, Pietro – International Journal of Mathematical Education in Science and Technology, 2019

We present the results of an experimental project, made at the University of Calabria, which uses computer simulations and scientific computational systems in teaching and learning the fundamentals of analytic mechanics, in particular the classical Lagrangian and Hamiltonian formulation of the matter. Starting with examples of classical dynamical…

Descriptors: Role, Computer Simulation, Foreign Countries, Experimental Groups

Patkin, Dorit; Plaksin, Olga – International Journal of Mathematical Education in Science and Technology, 2019

In this study, we aim to explore the extent of mathematics pre-service teachers' ability to apply their procedural understanding combined with spatial perception for drawing conceptual conclusions related to angles in a pyramid. The participants are 16 pre-service high school mathematics teachers. They have studied solid geometry during one…

Descriptors: Preservice Teachers, Mathematics Instruction, Mathematics Teachers, Spatial Ability

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

Dede, Ayse Tekin – International Journal of Mathematical Education in Science and Technology, 2019

Socio-cultural theories in mathematics education field recently emphasize the importance of the collective argumentation within small-group work. Since mathematical modelling tasks require a process in which students search for a solution for real life problems through small-group work, the arguments in this process become an issue of concern.…

Descriptors: Mathematical Models, Problem Solving, Persuasive Discourse, Preservice Teachers

Yan, Xiaoheng; Mason, John; Hanna, Gila – International Journal of Mathematical Education in Science and Technology, 2019

This study investigates an exploratory teaching style used in an undergraduate geometry course to help students identify an ellipse. We attempt to probe beneath the surface of exploration to understand how the actions of teachers can contribute to developing students' competence in justifying an ellipse. We analyse the complex interactions between…

Descriptors: Mathematics Instruction, Teaching Methods, Geometry, Geometric Concepts

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

Santos-Trigo, Manuel; Reyes-Martínez, Isaid – International Journal of Mathematical Education in Science and Technology, 2019

The aim of this study was to characterize and discuss ways of reasoning that prospective high school mathematics teachers develop and exhibit in a problem-solving scenario that involves the coordinated use of digital technologies. A conceptual framework that includes Virtual Learning Spaces (VLS) and Resources, Activities, Support and Evaluation…

Descriptors: Secondary School Teachers, High Schools, Preservice Teachers, Problem Solving

Nortvedt, Guri A.; Siqveland, Arvid – International Journal of Mathematical Education in Science and Technology, 2019

Are students transitioning from the secondary level to university studies in mathematics and engineering adequately prepared for education at the tertiary level? In this study, we discuss the prior mathematical knowledge and skills demonstrated by Norwegian engineering ("N" = 1537) and calculus ("N" = 626) university students…

Descriptors: Mathematics Instruction, Calculus, Engineering Education, Foreign Countries

Woolcott, Geoff; Chamberlain, Dan; Whannell, Robert; Galligan, Linda – International Journal of Mathematical Education in Science and Technology, 2019

Higher education faces challenges in retaining students who require a command of numeracy in their chosen field of study. This study applies an innovative combination of relative risk and social network analysis to enrolment data of a single cohort of commencing students from an Australian regional university. Relative risk, often used in…

Descriptors: Network Analysis, Undergraduate Students, Academic Persistence, Mathematics Education

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

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