"This third edition of the Handbook of International Research in Mathematics Education provides a comprehensive overview of the most recent theoretical and practical developments in the field of mathematics education. Authored by an array of internationally recognized scholars and edited by Lyn English and David Kirshner, this collection brings together overviews and advances in mat ..."
"To define better techniques of mathematics education, this book combines a knowledge of cognitive science with mathematics curriculum theory and research. The concept of the human reasoning process has been changed fundamentally by cognitive science in the last two decades. The role of memory retrieval, domain-specific and domain-general skills, analogy, and mental models is better understood now than previou ..."
"Mathematical and Analogical Reasoning of Young Learners provides foundational knowledge of the nature, development, and assessment of mathematical and analogical reasoning in young children. Reasoning is fundamental to understanding mathematics and is identified as one of the 10 key standards for school mathematics for the new millennium. The book draws on longitudinal and cross-cultural studies, conducted in the United States and Austr ..."
Mathematical Reasoning(1st Edition) Analogies, Metaphors, and Images (Studies in Mathematical Thinking and Learning Series) by LynD. English Paperback, 392 Pages, Published 1997 by Routledge ISBN-13: 978-0-8058-1979-3, ISBN: 0-8058-1979-7
"How we reason with mathematical ideas continues to be a fascinating and challenging topic of research--particularly with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple disciplines, including psychology, philosophy, computer science, linguistics, and anthropology, cognitive science provides rich scope for addressing issues that are at the core of ma ..."
"To define better techniques of mathematics education, this book combines a knowledge of cognitive science with mathematics curriculum theory and research. The concept of the human reasoning process has been changed fundamentally by cognitive science in the last two decades. The role of memory retrieval, domain-specific and domain-general skills, analogy, and mental models is better understood now than previously. The authors believe tha ..."
"The purpose of this special issue is to present several research perspectives on learning trajectories with the intention of encouraging the broader community to reflect on, better define, adopt, adapt, or challenge the concept. The issue begins by briefly introducing learning trajectories. The remaining articles provide elaboration, examples, and discussion of the construct. They purposefully are intended to be illustrative, explorator ..."
"This third edition of the Handbook of International Research in Mathematics Education provides a comprehensive overview of the most recent theoretical and practical developments in the field of mathematics education. Authored by an array of internationally recognized scholars and edited by Lyn English and David Kirshner, this collection brings together overviews and advances in mat ..."
"The second edition continues the mission of bringing together important new mathematics education research that makes a difference in both theory and practice. It updates and extends the Handbook's original key themes and issues for international research in mathematics education for the 21st century, namely: priorities in international mathematics education research lifelong democratic access to powerful mathematical ideas advan ..."
"Mathematical and Analogical Reasoning of Young Learners provides foundational knowledge of the nature, development, and assessment of mathematical and analogical reasoning in young children. Reasoning is fundamental to understanding mathematics and is identified as one of the 10 key standards for school mathematics for the new millennium. The book draws on longitudinal and cross-cultural studies, conducted in the United States and Austr ..."
"Dynamic and forward looking, the Handbook of International Research in Mathematics Education is distinguished by its focus on new and emerging theoretical models, perspectives, and research methodologies; its uniformly high standard of ..."
"The Handbook of Research on STEM Education represents a groundbreaking and comprehensive synthesis of research and presentation of policy within the realm of science, technology, engineering, and mathematics (STEM) education."
"The Handbook of Research on STEM Education represents a groundbreaking and comprehensive synthesis of research and presentation of policy within the realm of science, technology, engineering, and mathematics (STEM) education."
"Thinking mathematically: Integrating arithmetic and algebra in elementary school.
Portsmouth, NH: Heinemann. Carpenter, T. P., Moser, J. M., & Romberg, T.A. (
1982) (Eds.), Addition and subtraction: A cognitive view. Hillsdale, NJ: Lawrence
Erlbaum Associates. Carraher, D. W., Brizuela, B. M., & Earnest, D. (2001). The
reification of additive differences in early algebra. In H. Chick, K. Stacey, J.
Vincent, & J. Vincent (Eds.), Proc ..."
Mathematical Reasoning Analogies, Metaphors, and Images by LynD. English 392 Pages, Published 2013 by Routledge ISBN-13: 978-1-136-49114-6, ISBN: 1-136-49114-7
"Ross, B. H. (1987). This is like that: The use of earlier problems and the
separation of similarity effects. journal of Experimental Psychology: Learning,
Memory, and Cognition, 13, 629-639. Ross, B. H. (1989). ... New York: Macmillan.
Spiker, C. C. (1956). Experiments with children on the hypotheses of acquired
distinctiveness and equivalence of cues. Child Development, 27, 253-263.
Sweller, J. (1988). Cognitive load during proble ..."
"The link between cognitive science and mathematics education is therefore
bidirectional, because the feedback ... Leaders in business and industry (e.g.,
Bernstein, 1988; Mayer Committee, 1992; Pollak, 1987) claim that future ... New
societal goals for education thus include the need for mathematically literate
workers who are technologically competent, can adapt ... that their students are
not achieving as well in mathematics as t ..."
"In chapter 4 Nora Linden describes her investigation into the early learning
experiences of young Norwegian children who, in their first year of school, have
been identified as in need of "special education." She explains why, in her study,
it is ..."
Mathematical Reasoning(1st Edition) Nature, Form and Development. A Special Issue of the Journal Mathematical Cognition by LynD. English Paperback, 108 Pages, Published 1999 by Psychology Press ISBN-13: 978-0-86377-603-8, ISBN: 0-86377-603-5
"In recent times, the field of mathematical reasoning has been the focus of increased research from a number of quarters. Cognitive psychologists, mathematics educators, mathematicians, philosophers, and linguists are demonstrating the important role of mathematical reasoning in human learning and development. This special issue highlights some of these different perspectives on mathematical reasoning. Núñez and Lakoff address a new doma ..."
"The second edition continues the mission of bringing together important new mathematics education research that makes a difference in both theory and practice. It updates and extends the Handbook’s original key themes and issues for international research in mathematics education for the 21st century, namely: priorities in international mathematics education research lifelong democratic access to powerful mathematical ideas advanc ..."
"This state-of-the-art Handbook brings together important mathematics education research that makes a difference in both theory and practice--research that: anticipates problems and needed knowledge before they become impediments to progress; interprets future-oriented problems into researchable issues; presents the implications of research and theory development in forms that are useful to practitioners and policymakers; and facilitate ..."