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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

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

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

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

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

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

Sigler, Avi; Stupel, Moshe; Flores, Alfinio – International Journal of Mathematical Education in Science and Technology, 2017

Students use GeoGebra to explore the mathematical relations among different radii of circles in a triangle (circumcircle, incircle, excircles) and the sides and other segments in the triangle. The more formal mathematical development of the relations that follows the explorations is based on known geometrical properties, different formulas…

Descriptors: Mathematics Instruction, Computer Software, Educational Technology, Geometric Concepts

Jones, Stephen L. – International Journal of Mathematical Education in Science and Technology, 2017

Dr RL Moore was undoubtedly one of the finest mathematics teachers ever. He developed a unique teaching method designed to teach his students to think like mathematicians. His method was not designed to convey any particular mathematical knowledge. Instead, it was designed to teach his students to think. Today, his method has been modified to…

Descriptors: Mathematics Education, Mathematics Instruction, Mathematics Teachers, Teaching Methods

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

Kögce, Davut – International Journal of Mathematical Education in Science and Technology, 2017

The aim of this study is to determine pre-service classroom teachers' beliefs and thoughts about the roles of teachers and students in the classroom before taking the Mathematics Teaching I course. With this purpose, the study employed the survey method, a descriptive research technique. The study sample included 75 pre-service teachers (55…

Descriptors: Foreign Countries, Preservice Teachers, Student Teacher Attitudes, Beliefs

Aydogan Yenmez, Arzu; Erbas, Ayhan Kursat; Cakiroglu, Erdinc; Alacaci, Cengiz; Cetinkaya, Bulent – International Journal of Mathematical Education in Science and Technology, 2017

Applications and modelling have gained a prominent role in mathematics education reform documents and curricula. Thus, there is a growing need for studies focusing on the effective use of mathematical modelling in classrooms. Assessment is an integral part of using modelling activities in classrooms, since it allows teachers to identify and manage…

Descriptors: Mathematical Models, Problem Solving, Mathematics Teachers, Inservice Teacher Education

Andrews-Larson, Christine; Wawro, Megan; Zandieh, Michelle – International Journal of Mathematical Education in Science and Technology, 2017

In this paper, we present a hypothetical learning trajectory (HLT) aimed at supporting students in developing flexible ways of reasoning about matrices as linear transformations in the context of introductory linear algebra. In our HLT, we highlight the integral role of the instructor in this development. Our HLT is based on the "Italicizing…

Descriptors: Algebra, Mathematics Instruction, Matrices, Mathematics Activities

Campos, Dilhermando Ferreira; Pinto, Márcia Maria Fusaro – International Journal of Mathematical Education in Science and Technology, 2016

In recent years, changes in the Brazilian economic and social scenario have generated a growing demand for higher education in the country. In response to this new context, the federal government launched in 2007 a programme aiming at expansion of the enrolment to public higher education. In such environment of changes, several proposals have…

Descriptors: Mathematics, Mathematics Instruction, Mathematics Education, Mathematics Teachers

Khakbaz, Azimehsadat – International Journal of Mathematical Education in Science and Technology, 2016

Teaching mathematics in university levels is one of the most important fields of research in the area of mathematics education. Nevertheless, there is little information about teaching knowledge of mathematics university teachers. Pedagogical content knowledge (PCK) provides a suitable framework to study knowledge of teachers. The purpose of this…

Descriptors: Pedagogical Content Knowledge, Mathematics Teachers, Teacher Attitudes, College Mathematics

Sahin, Ömer; Gökkurt, Burçin; Soylu, Yasin – International Journal of Mathematical Education in Science and Technology, 2016

The aim of the study is to examine prospective mathematics teachers' pedagogical content knowledge in terms of knowledge of understanding students and knowledge of instructional strategies which are the subcomponents of pedagogical content knowledge. The participants of this research consist of 98 prospective teachers who are studying in two…

Descriptors: Mathematics, Mathematics Teachers, Fractions, Pedagogical Content Knowledge