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Larger versus Luckier: Preservice Teachers' Exploration of Probabilistic Reasoning through an Aleatoric Music Activity
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An, Song; Hachey, Alyse; Tillman, Daniel; Divis, Danielle; Birdwell, Bryn – International Journal of Mathematical Education in Science and Technology, 2023
The current study was conducted with the goal of helping to address the research gap of improving preservice teachers' pedagogical knowledge about probability by investigating how preservice teachers explored concepts of probability during aleatoric music composition, as well as their contemplation process during follow-up reflections focused on…
Descriptors: Preservice Teachers, Teacher Education Programs, Probability, Pedagogical Content Knowledge
Pre-Service Teachers' Knowledge of the Unitizing Process in Recognizing Students' Reasoning to Propose Teaching Decisions
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Buforn, Àngela; Llinares, Salvador; Fernández, Ceneida; Coles, Alf; Brown, Laurinda – International Journal of Mathematical Education in Science and Technology, 2022
The goal of this study is to characterize how pre-service teachers recognize students' reasoning, based in the unitizing process, when students solve ratio comparison problems and, how they consider the unitizing process as a Key Development Understanding to propose teaching decisions. Ninety-one pre-service primary teachers interpreted primary…
Descriptors: Preservice Teachers, Mathematics Instruction, Elementary School Teachers, Teacher Education Programs
Prospective Mathematics Teachers' Ways of Reasoning on Differentiability and Corner Points in a Real-Life Context
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Kertil, Mahmut; Küpcü, Ali Riza – International Journal of Mathematical Education in Science and Technology, 2021
This study investigates prospective elementary and secondary school mathematics teachers' ways of reasoning about differentiability at a point and corner points while working on a mathematical modelling activity. Adopting a multiple-case study design, the participants of the study were 68 prospective elementary school mathematics teachers enrolled…
Descriptors: Preservice Teachers, Mathematics Education, Elementary Education, Secondary Education
Supporting Grades 1-8 Pre-Service Teachers' Argumentation Skills: Constructing Mathematical Arguments in Situations That Facilitate Analyzing Cases
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Zambak, Vecihi S.; Magiera, Marta T. – International Journal of Mathematical Education in Science and Technology, 2020
We report on a teaching experiment with pre-service teachers (PSTs) intended to support their understanding of the validity of mathematical arguments, and their ability to formulate mathematical arguments by conducting case analysis. PSTs used Toulmin's framework (1958/2003) and engaged in collective argumentation while solving crypto-arithmetic…
Descriptors: Preservice Teachers, Preservice Teacher Education, Elementary School Mathematics, Middle School Mathematics
Family Math Night: Increasing Engagement in University Mathematics Courses for Prospective Teachers
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Thanheiser, Eva – International Journal of Mathematical Education in Science and Technology, 2020
Prospective elementary school teachers (PSTs) often do not perceive mathematics activities as fun or engaging and perceive the mathematics tasks in their university content courses as inauthentic and irrelevant. Both these points were addressed by connecting the university classroom tasks to the K-5 environment via a Family Math Night (FMN).…
Descriptors: Elementary School Students, Mathematics Instruction, Family Programs, Thinking Skills
Solution Representations of Percentage Change Problems: The Pre-Service Primary Teachers' Mathematical Thinking and Reasoning
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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