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Author: Gaea Leinhardt
Publisher: Routledge
ISBN: 1135440654
Category : Education
Languages : en
Pages : 472
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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
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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: 1135440581
Category : Education
Languages : en
Pages : 469
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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: National Society for the Study of Education. Committee on the Teaching of Arithmetic
Publisher: KirtasBooks
ISBN:
Category : Arithmetic
Languages : en
Pages : 216
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Book Description
Author: David B. Spangler
Publisher: Corwin Press
ISBN: 1412981069
Category : Education
Languages : en
Pages : 225
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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
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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: Benchara Branford
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 430
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 60
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Book Description
Author: Paul Klapper
Publisher: Forgotten Books
ISBN: 9781528479806
Category : Mathematics
Languages : en
Pages : 400
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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: David B. Spangler
Publisher: Corwin Press
ISBN: 1452269149
Category : Education
Languages : en
Pages : 249
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Book Description
Any way you slice it, fractions are foundational Many students struggle with fractions and must understand them before learning higher-level math. Veteran educator David B. Spangler describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern. Aligned with NCTM and Common Core State Standards, the research-based, targeted interventions for each error pattern promoted teaching for conceptual understanding. Practical materials include: Reproducibles for diagnostic tests Practice pages for exercises keyed to the diagnostic tests and error patterns Teacher resources for hands-on activities, game sheets and pieces, and more
Author: Maria G. Bartolini Bussi
Publisher: Springer
ISBN: 3319635557
Category : Education
Languages : en
Pages : 536
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Book Description
This twenty-third ICMI Study addresses for the first time mathematics teaching and learning in the primary school (and pre-school) setting, while also taking international perspectives, socio-cultural diversity and institutional constraints into account. One of the main challenges of designing the first ICMI primary school study of this kind is the complex nature of mathematics at the early level. Accordingly, a focus area that is central to the discussion was chosen, together with a number of related questions. The broad area of Whole Number Arithmetic (WNA), including operations and relations and arithmetic word problems, forms the core content of all primary mathematics curricula. The study of this core content area is often regarded as foundational for later mathematics learning. However, the principles and main goals of instruction on the foundational concepts and skills in WNA are far from universally agreed upon, and practice varies substantially from country to country. As such, this study presents a meta-level analysis and synthesis of what is currently known about WNA, providing a useful base from which to gauge gaps and shortcomings, as well as an opportunity to learn from the practices of different countries and contexts.
