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Paul Christian Dawkins Ed.; Amy J. Hackenberg Ed.; Anderson Norton Ed. – Research in Mathematics Education, 2024

The book provides an entry point for graduate students and other scholars interested in using the constructs of Piaget's genetic epistemology in mathematics education research. Constructs comprising genetic epistemology form the basis for some of the most well-developed theoretical frameworks available for characterizing learning, particularly in…

Descriptors: Mathematics Education, Educational Research, Piagetian Theory, Learning Processes

George Kinnear – Research in Mathematics Education, 2024

Prompting learners to generate examples has been proposed as an effective way of developing understanding of a new concept. However, empirical support for this approach is lacking. This article presents two empirical studies on the use of example-generation tasks in an online course in introductory university mathematics. The first study compares…

Descriptors: Comparative Analysis, Classification, Task Analysis, Mathematics Instruction

Mari Fukuda; Emmanuel Manalo – Research in Mathematics Education, 2024

To encourage students' self-regulated learning at home, developing skills for textbook use to overcome learning-related impasses is crucial. This study examined the effects of providing mathematics class sessions that combined teacher instruction on appropriate textbook use with peer instruction, aimed at promoting students' spontaneity and…

Descriptors: Textbooks, Metacognition, Student Attitudes, Teaching Methods

Michal Ayalon; Samaher Nama – Research in Mathematics Education, 2024

Our research focuses on ways teachers envision argumentation in their secondary mathematics classrooms. Semi-structured interviews were conducted with 31 secondary school mathematics teachers in Israel. They were asked to envisage a hypothetical classroom dialogue focusing on mathematical tasks which would engage their students in some…

Descriptors: Secondary School Teachers, Teacher Attitudes, Persuasive Discourse, Mathematics Teachers

Erin Smith – Research in Mathematics Education, 2024

Positioning theory [van Langenhove and Harré (1999). Introducing positioning theory. In R. Harre, & L. van Langenhove (Eds.), "Positioning theory: Moral contexts of intentional action" (pp. 14-31). Blackwell Publishers] provides a useful analytical lens to examine how teachers' positioning in moment-to-moment interactions can expand…

Descriptors: Grade 3, Elementary School Teachers, White Teachers, Monolingualism

Georgia Kasari; Tamsin Meaney – Research in Mathematics Education, 2024

In our action research projects as teacher educators, we focus on broadening preservice teachers' understandings about language diversity in mathematics classrooms, away from just improving students' fluency in the language of instruction. To undertake these projects, we developed a flexible analytical tool, for identifying those pedagogical…

Descriptors: Teacher Educators, Action Research, Social Justice, Mathematics Instruction

Naomi Thompson – Research in Mathematics Education, 2024

Mathematics remains a gatekeeper in schools; educators and researchers must carefully consider how diverse mathematical practices can be recognised and valued. To explore how math is recognised in the craft of weaving, which has been described as highly mathematical with roots in innovations by women, I interviewed 22 experienced weavers about…

Descriptors: Mathematics Instruction, Teaching Methods, Arithmetic, Computation

Topic Specificity of Students' Conceptual and Procedural Fraction Knowledge and Its Impact on Errors

Katja Lenz; Frank Reinhold; Gerald Wittmann – Research in Mathematics Education, 2024

When learning about fractions, teaching usually follows certain topics -- e.g. part of the whole, fraction equivalence, and size comparison. Not yet answered is whether students' conceptual and procedural knowledge of fractions is coherent between those topics. To answer this question, we performed a latent profile analysis of data from N = 1005…

Descriptors: Fractions, Error Patterns, Mathematics Instruction, Concept Formation

Clelia Cascella; Chiara Giberti; Andrea Maffia – Research in Mathematics Education, 2024

We present an external close replication of the 1985 Fischbein et al. study about intuitive models of multiplication and division. We administered two batteries of mathematics items developed in the original study, via a spiralling process, to a quota sample of 903 students attending grade 7. Compared with the analytic strategy based on the count…

Descriptors: Replication (Evaluation), Research Methodology, Mathematics Education, Grade 7

Raz Harel; Shai Olsher; Michal Yerushalmy – Research in Mathematics Education, 2024

Conjectures are a key component of mathematical inquiry, a process in which the students raise conjectures, refute or dismiss some of them, and formulate additional ones. Taking a design-based research approach, we formulated a design principle for personal feedback in supporting the iterative process of conjecturing. We empirically explored the…

Descriptors: Mathematics Instruction, Teaching Methods, Feedback (Response), Thinking Skills

Sara Gartland – Research in Mathematics Education, 2024

Recent mathematics education research highlights the importance of developing rehumanising and critical mathematics pedagogies. The aim of this study is to develop a framework for affective content knowledge in mathematics and to apply that framework to instruction identified as supporting both mathematical learning (ML) and social emotional…

Descriptors: Mathematics Education, Humanization, Mathematics Instruction, Social Emotional Learning

Jayasree, S.; Subramaniam, K.; Ramanujam, R. – Research in Mathematics Education, 2023

The challenges involved in navigating between home, school and academic languages, especially in a low resource context, have been well documented in the literature. Processes and strategies that allow the use of students' "language as resource" have also been suggested by research. In the context of explorations, where students work…

Descriptors: Mathematics Instruction, Second Language Learning, Native Language, Language Usage

Alyami, Hanan – Research in Mathematics Education, 2023

Despite the use of axiomatic definitions for mathematical concepts, scholars struggle to produce a single definition of angle that does not have some limitations. Textbooks' treatment of angle and its measure reflects this multifaceted nature of the angle concept while informing the different ways learners conceive of these concepts. In this…

Descriptors: Mathematical Concepts, Mathematics Instruction, Definitions, Textbook Content

Gjøvik, Øistein; Kaspersen, Eivind; Farsani, Danyal – Research in Mathematics Education, 2023

In this paper, we describe how pre-service teachers portray stereotypical mathematics teachers. Using longitudinal data -- from 2007 to 2020 -- of pre-service teachers' drawings (N = 767), we report on four clusters of stereotypical mathematics teachers. In all clusters, we find significant gender differences. Stereotypical teachers in two…

Descriptors: Mathematics Teachers, Gender Differences, Sex Stereotypes, Gender Bias

Jones, Steven R.; Long, Nicholas E.; Becnel, Jeremy J. – Research in Mathematics Education, 2023

Virtual reality (VR) research in mathematics education has centred largely on geometry content. This paper contributes by describing VR modules developed for another area that heavily involves three-dimensional objects: multivariable calculus. This paper also contributes by describing an empirical study on students' experiences inside the VR…

Descriptors: Computer Simulation, Mathematics Education, Calculus, Units of Study