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Per Haavold; Jan Roksvold; Bharath Sriraman – Investigations in Mathematics Learning, 2024
Teachers have difficulty integrating proof in their mathematics instruction due to both narrow beliefs about proofs and limited understanding of proofs. Indirect proofs seem to be a particular cause for concern. In this exploratory study, we contribute to the research area by reporting on an empirical study of Norwegian pre-service teachers'…
Descriptors: Preservice Teachers, Student Attitudes, Teacher Education Programs, Validity
Bal-Sezerel, Bilge; Sak, Ugur – Turkish Journal of Education, 2022
This study presents the development of a mathematical creativity test and exploration of its psychometric properties. The study was conducted in six public schools and a high ability center between 2015 and 2018. The sample of the study included 1129 middle school students. The Mathematical Creativity Test (MCT) consists of problem posing, making…
Descriptors: Creativity, Mathematics Education, Test Construction, Middle School Students
Gündogdu, Nida Sultan; Piskin Tunç, Mutlu – Journal of Pedagogical Research, 2022
The aim of this study was to examine the proportional reasoning skills of seventh-grade students before and after the implementation of STEM activities involving proportional and non-proportional relationships. Case study, one of the qualitative study methods, was used in the research. The data for the study was obtained from eight students. Seven…
Descriptors: Grade 7, Middle School Students, Logical Thinking, Thinking Skills
Aristidou, Michael – Athens Journal of Education, 2020
As it is already observed by mathematicians and educators, there is a discrepancy between the formal techniques of mathematical logic and the informal techniques of mathematics in regards to proof. We examine some of the reasons behind this discrepancy and to what degree it affects doing, teaching and learning mathematics in college. We also…
Descriptors: Mathematical Logic, Mathematics Instruction, College Mathematics, College Students
Poon, Kin-Keung; Leung, Chi-Keung – International Journal for Mathematics Teaching and Learning, 2016
The purposes of the study reported herein were to identify the common mistakes in geometry made by junior secondary school students in Hong Kong, and to compare the students' performance in geometry with their results in a logic test. A geometry test and a logic test were developed and administered to a sample of 554 students aged between 13 and…
Descriptors: Foreign Countries, Geometry, Secondary School Students, Mathematics Instruction
Wainwright, Elaine; Attridge, Nina; Wainwright, David; Alcock, Lara; Inglis, Matthew – Research in Mathematics Education, 2017
The Theory of Formal Discipline (TFD) suggests that studying mathematics improves general thinking skills. Empirical evidence for the TFD is sparse, yet it is cited in policy reports as a justification for the importance of mathematics in school curricula. The study reported in this article investigated the extent to which influential UK advocates…
Descriptors: Foreign Countries, Mathematics Education, Logical Thinking, Thinking Skills
Zeybek, Zulfiye – International Journal for Mathematics Teaching and Learning, 2016
This study aimed to document pre-service elementary teachers' (PSTs'), who are going to teach K-5, ability to construct as well as evaluate justifications varied in terms of levels of sophistication. Additionally, this study aimed to investigate how PSTs' knowledge of content in which they were being asked to prove influenced their ability to…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Skills, Mathematical Logic
Hodds, Mark; Alcock, Lara; Inglis, Matthew – Journal for Research in Mathematics Education, 2014
In this article we report 3 experiments demonstrating that a simple booklet containing self-explanation training, designed to focus students' attention on logical relationships within a mathematical proof, can significantly improve their proof comprehension. Experiment 1 demonstrated that students who received the training generated higher quality…
Descriptors: Validity, Mathematical Logic, Mathematics Instruction, Logical Thinking
Man, Yiu-Kwong; Poon, Kin-Keung – International Journal of Mathematical Education in Science and Technology, 2014
In this paper, we report a pilot study on engaging a group of undergraduate students to explore the limits of sin(x)/x and tan(x)/x as x approaches to 0, with the use of non-graphic scientific calculators. By comparing the results in the pretest and the post-test, we found that the students had improvements in the tested items, which involved the…
Descriptors: College Mathematics, Mathematics Instruction, Undergraduate Students, Calculators
Dimitriou-Hadjichristou, Chrysoula; Ogbonnaya, Ugorji I. – African Journal of Research in Mathematics, Science and Technology Education, 2015
This paper reports a study on the effect of using the Lakatosian heuristic method to teach the surface area of a cone (SAC) on students' achievement according to Bloom's taxonomy levels. Two groups of students (experimental and control) participated in the study. The experimental group (n = 20) was taught using the Lakatosian heuristic method…
Descriptors: Heuristics, Teaching Methods, Geometry, Geometric Concepts