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Cutting, Chelsea; Lowrie, Thomas – Mathematics Education Research Journal, 2023
Learning progressions have become increasingly prevalent in mathematics education as they offer a fine-grain map of possible learning pathways a child may take within a particular domain. However, there is an opportunity to build upon this research in ways that consider learning from multiple perspectives. Many current forms of learning…
Descriptors: Learning Processes, Child Development, Play, Learning Trajectories
Ní Ríordáin, Máire; Flanagan, Eílis – Mathematics Education Research Journal, 2020
This study examines the use of languages (English and Irish) by bilingual undergraduate mathematics learners. Although many studies exist examining the role of language in learning mathematics, fewer studies have examined the specific use of languages by bilingual learners when engaged in mathematical thinking. This study adopts a commognitive…
Descriptors: Bilingual Students, Undergraduate Students, Language Usage, English
In Search of the Mechanisms That Enable Transfer from Spatial Reasoning to Mathematics Understanding
Lowrie, Tom; Resnick, Ilyse; Harris, Danielle; Logan, Tracy – Mathematics Education Research Journal, 2020
Spatial reasoning, the ability to mentally represent and transform objects and their relations, is considered so closely connected to mathematics that there is no longer a question of whether the two are related. Instead, there remains debate about how to answer the question of why. This paper explores the way the two fields of mathematics…
Descriptors: Spatial Ability, Mathematical Concepts, Mathematics Education, Thinking Skills
Noorloos, Ruben; Taylor, Samuel D.; Bakker, Arthur; Derry, Jan – Mathematics Education Research Journal, 2017
The purpose of this article is to draw the attention of mathematics education researchers to a relatively new semantic theory called inferentialism, as developed by the philosopher Robert Brandom. Inferentialism is a semantic theory which explains concept formation in terms of the inferences individuals make in the context of an intersubjective…
Descriptors: Mathematics Education, Constructivism (Learning), Inferences, Educational Research
Derry, Jan – Mathematics Education Research Journal, 2017
This paper introduces the philosophical work of Robert Brandom, termed inferentialism, which underpins this collection and argues that it offers rich theoretical resources for reconsidering many of the challenges and issues that have arisen in mathematics education. Key to inferentialism is the privileging of the inferential over the…
Descriptors: Mathematics Education, Theories, Inferences, Mathematical Concepts
Schindler, Maike; Hußmann, Stephan; Nilsson, Per; Bakker, Arthur – Mathematics Education Research Journal, 2017
Negative numbers are among the first formalizations students encounter in their mathematics learning that clearly differ from out-of-school experiences. What has not sufficiently been addressed in previous research is the question of how students draw on their prior experiences when reasoning on negative numbers and how they infer from these…
Descriptors: Grade 6, Mathematics Education, Inferences, Mathematical Logic
Cable, John – Mathematics Education Research Journal, 2015
This article provides a critical evaluation of a technique of analysis, the "Social Activity Method," recently offered by Dowling (2013) as a "gift" to mathematics education. The method is found to be inadequate, firstly, because it employs a dichotomy (between "expression" and "content") instead of a finer…
Descriptors: Mathematics, Mathematics Education, Evaluation Methods, Criticism
Miller, Jodie; Warren, Elizabeth – Mathematics Education Research Journal, 2014
Students living in disadvantaged contexts and whose second language is English (ESL) are at risk of not succeeding in school mathematics. It has been internationally recognised that students' socioeconomic background and their achievements in mathematics is more pronounced for Australian students (Thomson et al. 2011). This gap is even more…
Descriptors: Foreign Countries, Mathematics Education, English (Second Language), English Language Learners
Mushin, Ilana; Gardner, Rod; Munro, Jennifer M. – Mathematics Education Research Journal, 2013
In classrooms tests, students are regularly required to demonstrate their understanding of mathematical concepts. When children encounter problems in demonstrating such understanding, it is often not clear whether this is because of the language of the teachers' questions and instructions or a genuine non-understanding of the concept itself. This…
Descriptors: Mathematics Tests, Mathematics Education, Language Role, Demonstrations (Educational)
Thomas, Jonathan Norris; Harkness, Shelly Sheats – Mathematics Education Research Journal, 2013
Unlike a child's observable, physical interactions with mathematical tools (e.g., physically touching blocks in order to count them), the subtle manifestations of imagery construction can be considerably more challenging to identify and act upon. Although there have been substantive examinations of mental imagery in a variety of mathematical…
Descriptors: Instructional Design, Geometric Concepts, Mathematics Education, Mathematics Instruction
Borden, Lisa Lunney – Mathematics Education Research Journal, 2013
As part of a larger project focused on decolonising mathematics education for Aboriginal students in Atlantic Canada, this article reports on the role of the Mi'kmaw language in mathematics teaching. By exploring how mathematical concepts are talked about (or not talked about) in the Mi'kmaw language, teachers and researchers can gain insight into…
Descriptors: Foreign Countries, Canada Natives, Mathematics Education, Mathematical Concepts
Thomas, Michael O. J.; Stewart, Sepideh – Mathematics Education Research Journal, 2011
Many beginning university students struggle with the new approaches to mathematics that they find in their courses due to a shift in presentation of mathematical ideas, from a procedural approach to concept definitions and deductive derivations, and ideas building upon each other in quick succession. This paper highlights this struggle by…
Descriptors: College Students, Higher Education, Mathematics, Mathematics Instruction
Mulligan, Joanne; Mitchelmore, Michael – Mathematics Education Research Journal, 2009
Recent educational research has turned increasing attention to the structural development of young students' mathematical thinking. Early algebra, multiplicative reasoning, and spatial structuring are three areas central to this research. There is increasing evidence that an awareness of mathematical structure is crucial to mathematical competence…
Descriptors: Mathematics Education, Mathematical Concepts, Grade 1, Concept Formation
Tall, David – Mathematics Education Research Journal, 2008
This paper focuses on the changes in thinking involved in the transition from school mathematics to formal proof in pure mathematics at university. School mathematics is seen as a combination of visual representations, including geometry and graphs, together with symbolic calculations and manipulations. Pure mathematics in university shifts…
Descriptors: Mathematical Logic, Mathematics Instruction, Mathematical Concepts, College Mathematics
Clark, Megan; Lovric, Miroslav – Mathematics Education Research Journal, 2008
One of most notable features of existing body of research in transition seems to be the absence of a theoretical model. The suggestion we present in this paper--to view and understand the high school to university transition in mathematics as a modern-day rite of passage--is an attempt at defining such framework. Although dominantly reflecting…
Descriptors: Ceremonies, Anthropology, Adolescents, Cultural Context