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Armstrong, Alayne; Gerofsky, Susan – Research in Mathematics Education, 2023
In this article, we consider the phenomenon of improvisation by small groups of middle years students while engaged in rich mathematical tasks in a classroom setting. Working from the premise that improvisation comprises a spectrum of behaviour, we propose that there is a range of improvisational behaviours that may be observed as the students…
Descriptors: Middle School Students, Secondary School Mathematics, Mathematics Education, Mathematics Activities
Khan, Steven; LaFrance, Stéphanie; Tran, Hang Thi Thuy – Research in Mathematics Education, 2022
We give an unconventional, mythopoetic response to the question of Why teach mathematics to all learners in school? In our work with pre-service teachers, we attempt to teach how to value the vulnerability of the multispecies world in a relational, anti-colonial way through passionate immersion, and to use mathematics education towards the ends of…
Descriptors: Preservice Teachers, Mathematics Education, Ethics, Climate
Xin, Yan Ping, Ed.; Tzur, Ron, Ed.; Thouless, Helen, Ed. – Research in Mathematics Education, 2022
This book provides prospective and practicing teachers with research insights into the mathematical difficulties of students with learning disabilities and classroom practices that address these difficulties. This linkage between research and practice celebrates teachers as learners of their own students' mathematical thinking, thus contributing…
Descriptors: Foreign Countries, Students with Disabilities, Mathematics Instruction, Classroom Techniques
Marmur, Ofer; Yan, Xiaoheng; Zazkis, Rina – Research in Mathematics Education, 2020
We explore prospective elementary-school teachers' attempts to provide signs and symbols with mathematical meaning in a case involving non-integers as numerator or denominator. The data comprises 33 responses to a task inquiring about the existence of numbers between 1/6 and 1/7, in which the participants were asked to compose a hypothetical…
Descriptors: Fractions, Semiotics, Preservice Teachers, Elementary School Teachers
Armstrong, Alayne – Research in Mathematics Education, 2020
The Zen concept of beginner's mind describes how one's level of awareness can open one's mind to growth and possibilities, an attitude that would be beneficial for many mathematics students. In this naturalistic case study, two small groups of middle years students engage in the same mathematical task, one group demonstrating the characteristics…
Descriptors: Mathematics Instruction, Cooperative Learning, Mathematics Activities, Group Dynamics
Barwell, Richard – Research in Mathematics Education, 2019
This article presents the results of an analysis of ethnographic data collected in three second language mathematics classrooms in Canada. The elementary school classes consisted of a group of indigenous students, a group of new immigrant students and a class in a French immersion programme. The focus of the analysis was on the sources of meaning…
Descriptors: Mathematics Instruction, Second Language Learning, Foreign Countries, Elementary School Mathematics
Assaf, Fatima; Graves, Barbara – Research in Mathematics Education, 2019
Drawing on sociocultural theories, this study considers the multiple resources multilingual children use to communicate mathematically. We engaged with three children and a parent, in order to understand how multilingual children express their mathematical reasoning. The family was given a mathematical problem solving activity designed to…
Descriptors: Sociocultural Patterns, Learning Theories, Multilingualism, Mathematics Instruction
Polotskaia, Elena; Savard, Annie – Research in Mathematics Education, 2018
Pupils' difficulties in solving word problems continue to attract attention: while researchers highlight the importance of relational reasoning and modelling, school curricula typically use short word problems to develop pupils' knowledge of arithmetic operations and calculation strategies. The Relational Paradigm attributes the leading role in…
Descriptors: Mathematics Instruction, Problem Solving, Grade 2, Experimental Groups
Maciejewski, Wes; Star, Jon R. – Research in Mathematics Education, 2016
Mathematics experts often choose appropriate procedures to produce an efficient or elegant solution to a mathematical task. This "flexible procedural knowledge" distinguishes novice and expert procedural performances. This article reports on an intervention intended to aid the development of undergraduate calculus students' flexible use…
Descriptors: Calculus, Undergraduate Students, Mathematics Education, Mathematics Instruction
Rapke, Tina – Research in Mathematics Education, 2016
This article describes a study, from a Canadian technical institute's upgrading mathematics course, where students played a role in developing the final closed-book exam that they sat. The study involved a process where students developed practice exams and solutions keys, students sat each other's practice exams, students evaluated classmates'…
Descriptors: Mathematics, Mathematics Instruction, Mathematics Tests, Teacher Student Relationship
Gueudet, Ghislaine; Buteau, Chantal; Mesa, Vilma; Misfeldt, Morten – Research in Mathematics Education, 2014
In this article we present an "instrumental approach" in mathematics education, which focuses on the interactions between students, teachers, and "artefacts." This approach analyses "mediations" attached to the use of a given artefact and "instruments" developed by the subjects from this artefact along…
Descriptors: College Mathematics, Mathematics Education, Teacher Student Relationship, Mediation Theory
Sierpinska, Anna; Osana, Helena – Research in Mathematics Education, 2012
This paper presents some results of research aimed at contributing to the development of a professional knowledge base for teachers of elementary mathematics methods courses, called here "teacher educators." We propose that a useful unit of analysis for this knowledge could be the tasks in which teacher-educators engage pre-service…
Descriptors: Foreign Countries, Preservice Teacher Education, Task Analysis, Preservice Teachers