Analysis of Arithmetic for Mathematics Teaching PDF Download

Author: Gaea Leinhardt
Publisher: Routledge
ISBN: 1135440581
Category : Education
Languages : en
Pages : 469

View

Book Description
This volume emerges from a partnership between the American Federation of Teachers and the Learning Research and Development Center at the University of Pittsburgh. The partnership brought together researchers and expert teachers for intensive dialogue sessions focusing on what each community knows about effective mathematical learning and instruction. The chapters deal with the research on, and conceptual analysis of, specific arithmetic topics (addition, subtraction, multiplication, division, decimals, and fractions) or with overarching themes that pervade the early curriculum and constitute the links with the more advanced topics of mathematics (intuition, number sense, and estimation). Serving as a link between the communities of cognitive researchers and mathematics educators, the book capitalizes on the recent research successes of cognitive science and reviews the literature of the math education community as well.

Author: Gaea Leinhardt
Publisher: Routledge
ISBN: 1135440654
Category : Education
Languages : en
Pages : 472

View

Book Description
This volume emerges from a partnership between the American Federation of Teachers and the Learning Research and Development Center at the University of Pittsburgh. The partnership brought together researchers and expert teachers for intensive dialogue sessions focusing on what each community knows about effective mathematical learning and instruction. The chapters deal with the research on, and conceptual analysis of, specific arithmetic topics (addition, subtraction, multiplication, division, decimals, and fractions) or with overarching themes that pervade the early curriculum and constitute the links with the more advanced topics of mathematics (intuition, number sense, and estimation). Serving as a link between the communities of cognitive researchers and mathematics educators, the book capitalizes on the recent research successes of cognitive science and reviews the literature of the math education community as well.

Author: David B. Spangler
Publisher: Corwin Press
ISBN: 1412981069
Category : Education
Languages : en
Pages : 225

View

Book Description
"The nuts-and-bolts approach to assessment and error analysis make this book a real tool for everyday use."---Judith A. Filkins, K-8 Math Curriculum Coordinator Lebanon School District, NH --

Author: Terezinha Nunes
Publisher: Springer
ISBN: 3319451138
Category : Education
Languages : en
Pages : 50

View

Book Description
This book offers a theory for the analysis of how children learn and are taught about whole numbers. Two meanings of numbers are distinguished – the analytical meaning, defined by the number system, and the representational meaning, identified by the use of numbers as conventional signs that stand for quantities. This framework makes it possible to compare different approaches to making numbers meaningful in the classroom and contrast the outcomes of these diverse aspects of teaching. The book identifies themes and trends in empirical research on the teaching and learning of whole numbers since the launch of the major journals in mathematics education research in the 1970s. It documents a shift in focus in the teaching of arithmetic from research about teaching written algorithms to teaching arithmetic in ways that result in flexible approaches to calculation. The analysis of studies on quantitative reasoning reveals classifications of problem types that are related to different cognitive demands and rates of success in both additive and multiplicative reasoning. Three different approaches to quantitative reasoning education illustrate current thinking on teaching problem solving: teaching reasoning before arithmetic, schema-based instruction, and the use of pre-designed diagrams. The book also includes a summary of contemporary approaches to the description of the knowledge of numbers and arithmetic that teachers need to be effective teachers of these aspects of mathematics in primary school. The concluding section includes a brief summary of the major themes addressed and the challenges for the future. The new theoretical framework presented offers researchers in mathematics education novel insights into the differences between empirical studies in this domain. At the same time the description of the two meanings of numbers helps teachers distinguish between the different aims of teaching about numbers supported by diverse methods used in primary school. The framework is a valuable tool for comparing the different methods and identifying the various assumptions about teaching and learning.

Author: John Monaghan
Publisher: Springer
ISBN: 3319023969
Category : Education
Languages : en
Pages : 483

View

Book Description
This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has five parts. The first part reflects on doing a mathematical task with different tools, followed by a mathematician's account of tool use in his work. The second considers prehistory and history: tools in the development from ape to human; tools and mathematics in the ancient world; tools for calculating; and tools in mathematics instruction. The third part opens with a broad review of technology and intellectual trends, circa 1970, and continues with three case studies of approaches in mathematics education and the place of tools in these approaches. The fourth part considers issues related to mathematics instructions: curriculum, assessment and policy; the calculator debate; mathematics in the real world; and teachers' use of technology. The final part looks to the future: task and tool design and new forms of activity via connectivity and computer games.

Author: Paul Klapper
Publisher: Forgotten Books
ISBN: 9781528479806
Category : Mathematics
Languages : en
Pages : 400

View

Book Description
Excerpt from The Teaching of Arithmetic: A Manual for Teachers A. The Practical Values. B. The Traditional Values, which include 1. The Disciplinary Values. 2. The Pleasure Values. 3. The Cultural Value. 4. The Preparatory Value. An analysis of each of these values now presents itself for study. The Practical Values of Arithmetic. - The utilitarian value of arithmetic has long served to explain its traditional place in the elementary school curriculum. The mere routine activities of daily life demand a mastery of certain number facts and number processes. In addition, a care fully selected curriculum in arithmetic helps to give children an insight into social activities that would otherwise be unknown to them. It is necessary that children understand the meaning of averages and the modes of computing them; that they know the meaning of common mathematical symbols, of percentages of increases and decreases, of rates of taxation, of interest, of insurance - in a word, the common business practices of social life. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 60

View

Book Description

Author: Martin Carlsen
Publisher: Springer Nature
ISBN: 3030347761
Category : Education
Languages : en
Pages : 453

View

Book Description
This book gives insights in the vivid research area of early mathematics learning. The collection of selected chapters mirrors the research topics presented at the fourth POEM conference in May 2018. Thematically, the volume reflects the importance of this evolving area of research, which has begun to attract attention in the spheres of education and public policy due to increased interest in early years learning. The research foci of the chapters comprise children’s mathematical reasoning, early years mathematics teaching, and the role of parents for children’s mathematical development. The 2018 conference included a wider range of researchers than previous years.

Author: National Society for the Study of Education. Committee on the Teaching of Arithmetic
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 328

View

Book Description

Author: Fulvia Furinghetti
Publisher: Springer
ISBN: 3319682946
Category : Education
Languages : en
Pages : 314

View

Book Description
This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.