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Fereshteh Zeynivandnezhad; Ramón Emilio Fernández; Yudariah binti Mohammad Yusof; Zaleha binti Ismail – International Electronic Journal of Mathematics Education, 2025
This study explores the effects of a computer algebra system on students' mathematical thinking. Mathematical thinking is identified with mathematical thinking powers and structures. We define mathematical thinking as students' capacity to specialize and generalize their previous knowledge to solve new mathematical problems. The study was…
Descriptors: Algebra, Computer Uses in Education, Mathematical Logic, Thinking Skills
Polotskaia, Elena; Fellus, Olga O.; Cavalcante, Alexandre; Savard, Annie – Canadian Journal of Science, Mathematics and Technology Education, 2022
The transition from arithmetic to algebra in middle school can be critical for students having persistent difficulties in mathematics. The leading perception in our project is that holistic relational thinking is an effective problem-solving tool in both arithmetic and algebra. We worked in collaboration with two teachers of special classes to…
Descriptors: Middle School Students, Secondary School Mathematics, Problem Solving, Algebra
Afonso, Dominique; Mc Auliffe, Sharon – African Journal of Research in Mathematics, Science and Technology Education, 2019
Patterns pervade our everyday life and are natural and familiar to children. Exciting new research in the field of Early Algebra describes the development of young children's algebraic thinking through the meaningful study of patterns. This paper contributes to this research by reporting on a case study of two primary schools in South Africa and…
Descriptors: Foreign Countries, Algebra, Mathematical Logic, Young Children
Somasundram, Piriya; Akmar, Sharifah Norul; Eu, Leong Kwan – International Electronic Journal of Mathematics Education, 2019
Pattern generalisation is one of the most important elements in developing functional thinking in elementary school which leads to build foundation to work with algebra in later years of education. Therefore, this study took an initiative to study the performance of year five pupils in pattern generalisation and its correlation with mathematics…
Descriptors: Mathematics Achievement, Elementary School Students, Grade 5, Generalization
Ayalon, Michal; Wilkie, Karina – Mathematical Thinking and Learning: An International Journal, 2020
Researching students' responses to tasks at different year levels and in varied curriculum contexts can provide insights that relate their understandings to prior learning experiences and teaching approaches. In this article, we discuss evidence of students from three curriculum contexts (English, Australian, and Israeli) (n = 350) ways of…
Descriptors: Secondary School Mathematics, Comparative Education, Foreign Countries, Mathematical Logic
Kabael, Tangul; Akin, Ayca – International Journal of Research in Education and Science, 2018
The aim of this research is to examine prospective mathematics teachers' quantitative reasoning, their support for students' quantitative reasoning and the relationship between them, if any. The teaching experiment was used as the research method in this qualitatively designed study. The data of the study were collected through a series of…
Descriptors: Preservice Teachers, Middle School Teachers, Focus Groups, Middle School Students
Fay, Michael – Mathematics Teacher, 2016
Activities for Students appears five times each year in Mathematics Teacher, promoting student-centered activities that teachers can adapt for use in their own classroom. In the course of the activities presented here, students will "look for and make use of structure" by observing algebraic patterns in the power rule and "use…
Descriptors: Mathematics Instruction, Algebra, Mathematical Concepts, Mathematical Logic
Non-Hierarchical Clustering as a Method to Analyse an Open-Ended Questionnaire on Algebraic Thinking
Di Paola, Benedetto; Battaglia, Onofrio Rosario; Fazio, Claudio – South African Journal of Education, 2016
The problem of taking a data set and separating it into subgroups, where the members of each subgroup are more similar to each other than they are to members outside the subgroup, has been extensively studied in science and mathematics education research. Student responses to written questions and multiple-choice tests have been characterised and…
Descriptors: Foreign Countries, Grade 10, Questionnaires, Algebra
Gay, A. Susan; Peterson, Ingrid – PRIMUS, 2014
Concept-focused quiz questions required College Algebra students to write about their understanding. The questions can be viewed in three broad categories: a focus on sense-making, a focus on describing a mathematical object such as a graph or an equation, and a focus on understanding vocabulary. Student responses from 10 classes were analyzed.…
Descriptors: College Mathematics, Undergraduate Study, Content Area Writing, Algebra
Wilkie, Karina J,; Clarke, Doug – Mathematics Education Research Group of Australasia, 2014
This design-based research project investigated the development of functional thinking in algebra for the upper primary years of schooling. Ten teachers and their students were involved in a sequence of five cycles of collaborative planning, team-teaching, evaluating and revising five lessons on functional thinking for their students over one…
Descriptors: Thinking Skills, Algebra, Mathematics Instruction, Teaching Methods
Doyle, Kathleen M.; Dias, Olen; Kennis, James R.; Czarnocha, Bronislaw; Baker, William – Adults Learning Mathematics, 2016
One of the many roles of two year community colleges in the United States is to bridge the gap between secondary school and college for students who graduate from high school with weak mathematics skills that prevent them from enrolling in college level mathematics courses. At community colleges remedial or developmental mathematics courses review…
Descriptors: Community Colleges, College Role, Mathematics Instruction, Developmental Studies Programs
Bishop, Jessica Pierson; Lamb, Lisa L.; Philipp, Randolph A.; Whitacre, Ian; Schappelle, Bonnie P. – Mathematical Thinking and Learning: An International Journal, 2016
Looking for, recognizing, and using underlying mathematical structure is an important aspect of mathematical reasoning. We explore the use of mathematical structure in children's integer strategies by developing and exemplifying the construct of logical necessity. Students in our study used logical necessity to approach and use numbers in a…
Descriptors: Numbers, Arithmetic, Mathematics, Mathematics Instruction
Gagatsis, Athanasios; Panaoura, Areti – International Journal of Mathematical Education in Science and Technology, 2014
The study aimed to investigate students' conceptions on the notion of absolute value and their abilities in applying the specific notion in routine and non-routine situations. A questionnaire was constructed and administered to 17-year-old students. Data were analysed using the hierarchical clustering of variables and the implicative method, while…
Descriptors: Mathematics Instruction, Mathematical Concepts, Questionnaires, Mathematical Logic
Graham-Squire, Adam; Farnell, Elin; Stockton, Julianna Connelly – PRIMUS, 2014
The Mat-Rix-Toe project utilizes a matrix-based game to deepen students' understanding of linear algebra concepts and strengthen students' ability to express themselves mathematically. The project was administered in three classes using slightly different approaches, each of which included some editing component to encourage the…
Descriptors: College Mathematics, Content Area Writing, Algebra, Educational Games
Xu, Wenbin; Stephens, Max; Zhang, Qinqiong – Mathematics Education Research Group of Australasia, 2012
This study investigates how 217 students in Years 5, 6 and 7 from three schools in Nanjing, China, link number and algebra (called relational thinking in this study). It categorizes their performances in terms of five levels, and uses these levels to create profiles of algebraic thinking across Years 5, 6, and 7. The study examines the…
Descriptors: Foreign Countries, Grade 5, Grade 6, Grade 7
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