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Showing 1 to 15 of 21 results Save | Export
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Sarah Klanderman; V. Rani Satyam – International Journal of Mathematical Education in Science and Technology, 2024
For students taking higher level mathematics courses, the transition from computational to proof-based courses such as analysis and algebra not only introduces a new format of writing and communication, but also a new level of abstraction. This study examines the affordances of one particular tool to aid students in this transition: a proof…
Descriptors: College Mathematics, Mathematics Education, Mathematics Skills, Undergraduate Students
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Fangli Xia; Mitchell J. Nathan; Kelsey E. Schenck; Michael I. Swart – Cognitive Science, 2025
Task-relevant actions can facilitate mathematical thinking, even for complex topics, such as mathematical proof. We investigated whether such cognitive benefits also occur for action predictions. The action-cognition transduction (ACT) model posits a reciprocal relationship between movements and reasoning. Movements--imagined as well as real ones…
Descriptors: Undergraduate Students, Geometry, Mathematical Concepts, Mathematics Instruction
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Tristanti, Lia Budi; Nusantara, Toto – International Journal of Instruction, 2022
This study aims to see the influence of infusion learning strategy on students' mathematical argumentation, in particular to those who were prospective math teachers. Method: It used an experimental research design involving 70 respondents. The experimental group implemented an infusion learning strategy, while the control group applied the…
Descriptors: Learning Strategies, Mathematical Logic, Persuasive Discourse, Preservice Teachers
Faizah, Siti; Nusantara, Toto; Sudirman; Rahardi, Rustanto – Online Submission, 2022
Thinking is a tool to construct knowledge in learning mathematics. However, some college students have not been fully aware of the importance of constructing their knowledge. Therefore, this study aims to explore students' thinking processes in completing mathematical proofs through assimilation and accommodation schemes. This research was…
Descriptors: Foreign Countries, Thinking Skills, Cognitive Processes, College Students
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Colonnese, Madelyn W.; Casto, Amanda R. – Mathematics Teacher Education and Development, 2023
Mathematical writing is one way for primary students to communicate their mathematical thinking. Research in the field of writing has shown that to become an effective teacher of writing, preservice teachers must have experience engaging in the kinds of writing given to their students. The study reported in this paper explored how 27 preservice…
Descriptors: Preservice Teachers, Preservice Teacher Education, Mathematics Education, Mathematics Skills
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Cabero-Fayos, Ismael; Santágueda-Villanueva, María; Villalobos-Antúnez, Jose Vicente; Roig-Albiol, Ana Isabel – Education Sciences, 2020
From an early age, understanding proportional reasoning is a fundamental pillar in mathematics education, and therefore, teachers should have a thorough knowledge of it. Despite its significance, there are few studies that analyse the difficulties that student teachers have in understanding proportionality, and even less so inverse…
Descriptors: Foreign Countries, Preservice Teachers, Logical Thinking, Problem Solving
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Faizah, Siti; Nusantara, Toto; Sudirman; Rahardi, Rustanto – Mathematics Teaching Research Journal, 2022
Thinking is a tool to construct knowledge in learning mathematics. However, some college students have not been fully aware of the importance of constructing their knowledge. Therefore, this study aims to explore students' thinking processes in completing mathematical proofs through assimilation and accommodation schemes. This research was…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematics Tests, Validity
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Barham, Areej Isam – European Journal of Educational Research, 2020
This study investigated the development of problem-solving strategies demonstrated by 42 elementary pre-service mathematics teachers in problem-solving mathematics classes. The study used a mixed methods approach of quantitative and qualitative research by analyzing the collected data.. The quantitative portion calculates the frequencies and…
Descriptors: Preservice Teachers, Problem Solving, Mathematics Teachers, Elementary School Teachers
Ssebaggala, Lawrence – ProQuest LLC, 2019
Review of the history of trigonometry content and pedagogy indicates the necessity and importance of trigonometry in the school curriculum (e.g., van Brummelen, 2009; van Sickel, 2011). For example, understanding trigonometric functions is a requirement for understanding some other areas of science, such as Newtonian physics, architecture,…
Descriptors: Preservice Teachers, Secondary School Teachers, Mathematics Teachers, Mathematical Logic
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Mowahed, Ahmad Khalid; Song, Naiqing; Xinrong, Yang; Changgen, Pei – International Electronic Journal of Mathematics Education, 2020
This study explored the influence of proof understanding strategies and negative self-concept on undergraduate Afghan students' achievement in modern algebra 1. To examine the relationships among proof understanding strategies, negative self-concept and achievement in modern algebra 1, we used structural equation modeling on data collected from…
Descriptors: Validity, Mathematical Logic, Algebra, Mathematics Achievement
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Dawkins, Paul Christian; Zazkis, Dov – North American Chapter of the International Group for the Psychology of Mathematics Education, 2018
This paper presents selected findings from an assessment of university students' moment-by-moment reading of mathematical proof. This method, adapted from an assessment of narrative reading validated by psychologists, yields novel insights into the strategies students use to construct meaning for the equations in a proof text. In particular, we…
Descriptors: Mathematical Logic, Validity, Mathematics Instruction, College Students
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Mielicki, Marta K.; Wiley, Jennifer – Journal of Problem Solving, 2016
Successful algebraic problem solving entails adaptability of solution methods using different representations. Prior research has suggested that students are more likely to prefer symbolic solution methods (equations) over graphical ones, even when graphical methods should be more efficient. However, this research has not tested how representation…
Descriptors: Algebra, Problem Solving, Graphs, Equations (Mathematics)
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Zazkis, Dov; Weber, Keith; Mejia-Ramos, Juan Pablo – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
In this paper we examine a commonly suggested proof construction strategy from the mathematics education literature--that students first produce an informal argument and then use this as a basis for constructing a formal proof. The work of students who produce such informal arguments during proving activities was analyzed to distill three…
Descriptors: Mathematics, Majors (Students), Mathematical Logic, Learning Activities
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Singh, Parmjit; Hoon, Teoh Sian; Rasid, Nor Syazwani; Nasir, Nurul Akmal Md; Han, Cheong Tau; Rahman, Norziah Abdul – Asian Journal of University Education, 2016
Studies related to school mathematics have shown that students who scored well on standardized tests often are unable to successfully use memorized facts and formulae in real-life application outside the classroom. The outcome of TIMSS and PISA studies further emphasizes the importance of mathematics teaching and learning in the Malaysian…
Descriptors: Mathematics Instruction, College Mathematics, Mathematics Skills, Mathematical Concepts
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Cullen, Amanda L.; Tobias, Jennifer M.; Safak, Elif; Kirwan, J. Vince; Wessman-Enzinger, Nicole M.; Wickstrom, Megan H.; Baek, Jae M. – International Journal for Mathematics Teaching and Learning, 2017
Previous research on preservice teachers' understanding of fractions and algebra has focused on one or the other. To extend this research, we examined 85 undergraduate elementary education majors and middle school mathematics education majors' solutions and solution paths (i.e., the ways or methods in which preservice teachers solve word problems)…
Descriptors: Preservice Teachers, Student Teacher Attitudes, Undergraduate Students, Elementary School Teachers
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