Academic Articles & Research Papers

The Emergence of Mathematical Meaning

Contents: Preface. P. Cobb, H. Bauersfeld, Introduction: The Coordination of Psychological and Sociological Perspectives in Mathematics Education. P. Cobb, E. Yackel, T. Wood, The Teaching Experiment Classroom. P. Cobb, Mathematical Learnin...

With an Eye on the Mathematical Horizon: Dilemmas of Teaching Elementary School Mathematics

Ideas like "understanding," "authenticity," and "community" are central in current debates about curriculum, instruction, and assessment. Many believe that teaching and learning would be improved if classrooms were organized to engage stude...

Theories of Mathematical Learning

Contents: Preface. Part I: P. Cobb, Sociological and Anthropological Perspectives on Mathematics Learning. P. Cobb, B. Jaworski, N. Presmeg, Emergent and Sociocultural Views of Mathematical Activity. J. Voigt, Negotiation of Mathematical Me...

The Journal of Mathematical Behavior

The Journal of Mathematical Behavior solicits original research on the learning and teaching of mathematics, from young children to adults, with a focus on how mathematical ideas are developed in learners under certain conditions that suppo...

Skills underlying mathematics: The role of executive function in the development of mathematics proficiency

The successful learning and performance of mathematics relies on a range of individual, social and educational factors. Recent research suggests that executive function skills, which include monitoring and manipulating information in mind (...

The Chicken or the Egg? The Direction of the Relationship Between Mathematics Anxiety and Mathematics Performance

This review considers the two possible causal directions between mathematics anxiety (MA) and poor mathematics performance. Either poor maths performance may elicit MA (referred to as the Deficit Theory), or MA may reduce future maths perfo...

The Language of Mathematics: The Importance of Teaching and Learning Mathematical Vocabulary

Vocabulary understanding is a major contributor to overall comprehension in many content areas, including mathematics. Effective methods for teaching vocabulary in all content areas are diverse and long standing. Teaching and learning the l...

Mathematics and the Body

This book explores alternative ways to consider the relationship between mathematics and the material world. Drawing on the philosophy of Gilles Châtelet and the post-humanist materialism of Karen Barad, the authors present an 'inclusive ma...

On Mathematical Problem Posing.

In mathematics classes at all levels of schooling in all countries of the world, students can be observed solving problems. The quality and authenticity of these mathematics problems has been the subject of many discussions and debates in r...

The Handbook of Mathematical Cognition

Part 1: Cognitive Representations for Number and Mathematics. M. Fayol, X. Seron, About Numerical Representations: Insights from Neuropsychological, Experimental and Developmental Studies. M. Brysbaert, Number Recognition in Different Forma...

Mathematics and Learning Disabilities

Between 5% and 8% of school-age children have some form of memory or cognitive deficit that interferes with their ability to learn concepts or procedures in one or more mathematical domains. A review of the arithmetical competencies of thes...

The Mathematical Brain

The concept of numbers and the ability to recognize and process them is innate, part of everyone's intellectual apparatus whether they've had formal education or not. This instinct is not dependent on basic intelligence or general knowledge...

Mathematics Teacher Noticing

Mathematics Teacher Noticing is the first book to examine research on the particular type of noticing done by teachers---how teachers pay attention to and make sense of what happens in the complexity of instructional situations. In the mids...

Negotiation of Mathematical Meaning and Learning Mathematics

Asking mathematical questions mathematically

It is proposed that the style and format of the questions used by lecturers and tutors profoundly influence students' conceptions of what mathematics is about and how it is conducted. By looking at reasons for asking questions, and becoming...

MATHEMATICAL COMPETENCIES AND THE LEARNING OF MATHEMATICS: THE DANISH KOM PROJECT

This paper presents the Danish KOM project (KOM: Competencies and the Learning of Mathematics), initiated by the Ministry of Education and other official bodies in order to create a platform for in-depth reform of Danish mathematics educati...

Mathematics, mathematicians, and mathematics education

I am one of a growing number of research mathematicians who are substantially engaged with school mathematics education. Such outreach has a long and honor-able tradition. In this lecture, I illustrate some of the ways that I think this can...

Design Recommendations for Immersive Virtual Reality Application for English Learning: A Systematic Review

The growing popularity of immersive virtual reality (iVR) technologies has opened up new possibilities for learning English. In the literature, it is possible to find several studies focused on the design, development, and evaluation of imm...

Teachers of Mathematics

There are persons who do not like to teach who are conducting classes in our schools. There are persons who do not like mathematics who have been assigned to handle algebra classes and to instruct in arithmetic. There are men and women who ...

Consistencies far beyond chance: an analysis of learner preconceptions of reflective symmetry

This article reports on regularities observed in learners' preconceptions of reflective symmetry. Literature suggests that the very existence of such regularities indicates a gap between what learners know and what they need to know. Such a...