Theories of Mathematical Learning

Author: Leslie P. Steffe
Publisher: Routledge
ISBN: 1136485546
Format: PDF
Download Now
Chemists, working with only mortars and pestles, could not get very far unless they had mathematical models to explain what was happening "inside" of their elements of experience -- an example of what could be termed mathematical learning. This volume contains the proceedings of Work Group 4: Theories of Mathematics, a subgroup of the Seventh International Congress on Mathematical Education held at Université Laval in Québec. Bringing together multiple perspectives on mathematical thinking, this volume presents elaborations on principles reflecting the progress made in the field over the past 20 years and represents starting points for understanding mathematical learning today. This volume will be of importance to educational researchers, math educators, graduate students of mathematical learning, and anyone interested in the enterprise of improving mathematical learning worldwide.

Rhetorical Ways of Thinking

Author: Lillie R Albert
Publisher: Springer Science & Business Media
ISBN: 9400740654
Format: PDF, ePub, Mobi
Download Now
Rhetorical Ways of Thinking focuses on how the co-construction of learning models the interpretation of a mathematical situation. It is a comprehensive examination of the role of sociocultural-historical theory developed by Vygotsky. This book puts forward the supposition that the major assumptions of sociocultural-historic theory are essential to understanding the theory’s application to mathematical pedagogy, which explores issues relevant to learning and teaching mathematics-in-context, thus providing a valuable practical tool for general mathematics education research. The most important goal, then, is to exemplify the merging of the theory with practice and the subsequent applications to mathematics teaching and learning. This monograph contains five chapters, including a primer to Vygotsky’s sociocultural historic theory, three comprehensive empirical studies examining: prospective teachers’ perception of mathematics teaching and learning and the practice of scaffolded instruction to assist practicing teachers in developing their understanding of pedagogical content knowledge. Finally, the book concludes with a contextualization of the theory, linking it to best practices in the classroom.​​

Learning Mathematics

Author: Paul Cobb
Publisher: Springer Science & Business Media
ISBN: 9401720576
Format: PDF, Kindle
Download Now
This volume emphasizes students' inferred mathematical experiences as the starting point in the theory-building process. The book addresses conceptual constructions, including multiplicative notions, fractions, algebra, and the fundamental theorem of calculus, and theoretical constructs such as the crucial role of language and symbols, and the importance of dynamic imagery.

Theories of Mathematics Education

Author: Bharath Sriraman
Publisher: Springer Science & Business Media
ISBN: 3642007422
Format: PDF, Mobi
Download Now
Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.

Learning Mathematics

Author: Anthony Orton
Publisher: A&C Black
ISBN: 1441140018
Format: PDF
Download Now
• Why do some students achieve more than others? • Do we have to wait until pupils are "ready"? • Can children discover math for themselves? • Does language interfere with the learning of math? This classic text, written from the viewpoint of the math teacher, provides answers to these and many more questions. Each chapter explores a particular issue that illustrates the interaction between theory and practice. New chapters have been included on cognition, pattern, and ICT.

Constructing Mathematical Knowledge

Author: Paul Ernest
Publisher: Routledge
ISBN: 1135716196
Format: PDF, ePub
Download Now
This book provides a panorama of complimentary and forward looking perspectives on the learning of mathematics and epistemology from some of the leading contributors to the field. It explores constructivist and social theories of learning, and discusses the role of the computer in the light of these theories. It brings analyses from psychoanalysis, Hermeneutics and other perspectives to bear on the issues of mathematics and learning. It enquires into the nature of enquiry itself, and an important emergent theme is the role of language. Finally it relates the history of mathematics to its teaching and learning. The book both surveys current research and indicates orientations for fruitful work in the future.

Multiple Perspectives on Mathematics Teaching and Learning

Author: Jo Boaler
Publisher: Greenwood Publishing Group
ISBN: 9781567505344
Format: PDF, ePub, Mobi
Download Now
Authors analyze mathematics education from a range of perspectives. They address such practical problems as: maximizing the impact of teacher education programmes; increasing learning opportunities for students working in groups; and the impact of male domination in mixed classrooms.

Learning and Teaching Number Theory

Author: Stephen R. Campbell
Publisher: Greenwood Publishing Group
ISBN: 9781567506532
Format: PDF, Docs
Download Now
Essential to developing deeper understandings of mathematics, number theory has received scant attention in mathematics education research. This volume redresses this matter and serves as a launch point for further research in this important area.

What is a Mathematical Concept

Author: Elizabeth de Freitas
Publisher: Cambridge University Press
ISBN: 1107134633
Format: PDF, Kindle
Download Now
Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?

Learning Mathematics

Author: Robert Benjamin Davis
Publisher: Greenwood Publishing Group
ISBN: 9780893912451
Format: PDF, ePub
Download Now
There has long been dispute in mathematics between the drill and practice orientation that focuses primarily on memorizing mathematics as meaningless rote algorithms and the approach based on understanding and making creative use of mathematics. This 25-chapter book, based on a 7-year study at the University of Illinois, seeks to explain and diffuse this controversy by taking a broad view of the cognitive science approach to the teaching and learning of mathematics. This explanation of the processes of mathematical calculation owes much to the new approach to the study of knowledge, which has been developed from Jean Piaget's observation of child behavior and the broad range of new research into artificial intelligence. It is essentially concerned with providing a deeper understanding of the thought processes that are involved in mathematical thinking; what goes on inside children's heads as they learn mathematics and do mathematical problem-solving. Among the areas considered are: the cognitive science approach to mathematics education; deficiency in typical school curricula; the nature of representations; the "paradigm" teaching strategy; recognition problems; retrieval, construction, and mapping; and basic concepts used to facilitate the discussion of human information processing as it related to solving mathematical problems. (JN)