Analysis Of Arithmetic For Mathematics Teaching

Author : Gaea Leinhardt,Ralph Putnam,Rosemary A. Hattrup
Publisher : Routledge
Page : 472 pages
File Size : 52,8 Mb
Release : 2020-11-25
Category : Education
ISBN : 9781135440657

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Analysis of Arithmetic for Mathematics Teaching by Gaea Leinhardt,Ralph Putnam,Rosemary A. Hattrup Pdf

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,Ralph Putnam,Rosemary A. Hattrup
Publisher : Routledge
Page : 469 pages
File Size : 41,5 Mb
Release : 2020-11-25
Category : Education
ISBN : 9781135440589

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Analysis of Arithmetic for Mathematics Teaching by Gaea Leinhardt,Ralph Putnam,Rosemary A. Hattrup Pdf

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 : Terezinha Nunes,Beatriz Vargas Dorneles,Pi-Jen Lin,Elisabeth Rathgeb-Schnierer
Publisher : Springer
Page : 50 pages
File Size : 54,5 Mb
Release : 2016-08-29
Category : Education
ISBN : 9783319451138

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Teaching and Learning About Whole Numbers in Primary School by Terezinha Nunes,Beatriz Vargas Dorneles,Pi-Jen Lin,Elisabeth Rathgeb-Schnierer Pdf

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 : National Society for the Study of Education. Committee on the Teaching of Arithmetic
Publisher : Unknown
Page : 328 pages
File Size : 40,7 Mb
Release : 1951
Category : Arithmetic
ISBN : UOM:39076001706907

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The Teaching of Arithmetic by National Society for the Study of Education. Committee on the Teaching of Arithmetic Pdf

Author : David B. Spangler
Publisher : Corwin Press
Page : 225 pages
File Size : 42,6 Mb
Release : 2010-06-02
Category : Education
ISBN : 9781412981064

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Strategies for Teaching Whole Number Computation by David B. Spangler Pdf

"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 : Anne Watson,Keith Jones,Dave Pratt
Publisher : OUP Oxford
Page : 272 pages
File Size : 45,8 Mb
Release : 2013-02-21
Category : Mathematics
ISBN : 9780191643422

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Key Ideas in Teaching Mathematics by Anne Watson,Keith Jones,Dave Pratt Pdf

Big ideas in the mathematics curriculum for older school students, especially those that are hard to learn and hard to teach, are covered in this book. It will be a first port of call for research about teaching big ideas for students from 9-19 and also has implications for a wider range of students. These are the ideas that really matter, that students get stuck on, and that can be obstacles to future learning. It shows how students learn, why they sometimes get things wrong, and the strengths and pitfalls of various teaching approaches. Contemporary high-profile topics like modelling are included. The authors are experienced teachers, researchers and mathematics educators, and many teachers and researchers have been involved in the thinking behind this book, funded by the Nuffield Foundation. An associated website, hosted by the Nuffield Foundation, summarises the key messages in the book and connects them to examples of classroom tasks that address important learning issues about particular mathematical ideas.

Author : Anonim
Publisher : Unknown
Page : 60 pages
File Size : 45,8 Mb
Release : 1960
Category : Mathematics
ISBN : STANFORD:36105214582202

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Analysis of Research in the Teaching of Mathematics by Anonim Pdf

Author : Paul Klapper
Publisher : Unknown
Page : 402 pages
File Size : 54,7 Mb
Release : 2015-07-08
Category : Mathematics
ISBN : 1330951824

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The Teaching of Arithmetic by Paul Klapper Pdf

Excerpt from The Teaching of Arithmetic: A Manual for Teachers A statement of the aims of a book on the methods of teaching should set forth its distinctive purpose. Books on the pedagogy of arithmetic which have contributed to improvement in methods of teaching this subject may be divided into three classes. Some seek to give a general survey of the aims and methods of teaching arithmetic, concerning themselves with no details in any specific topic, and leaving it to each teacher to apply the general method to the specific problems of his grade work. Other books give the philosophy and psychology of mathematics in the hope that a clearer comprehension of the basic concepts of arithmetic by the teacher will inevitably lead to more effective methods of instruction. The third group of books devotes itself merely to the task of giving remedial devices to meet specific teaching difficulties. General methods of teaching any subject may set forth ideals of instruction without regard to possibility of attainment. Specific devices tend to establish stereotyped forms to be followed slavishly without a comprehension of the basic principles. The writer has sought to evolve a book that is eclectic in aim. The early chapters study critically the values of arithmetic, the principles governing the organization of the course of study, and the psychology underlying sound method in arithmetic. The later chapters set forth methods rather than the method of teaching each of the important branches of arithmetic. 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 : Benchara Branford
Publisher : Unknown
Page : 392 pages
File Size : 53,5 Mb
Release : 1908
Category : Arithmetic
ISBN : LCCN:08000894

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A Study of Mathematical Education Including the Teaching of Arithmetic by Benchara Branford Pdf

Author : David B. Spangler
Publisher : Corwin Press
Page : 249 pages
File Size : 50,5 Mb
Release : 2011-08-17
Category : Education
ISBN : 9781452269146

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Strategies for Teaching Fractions by David B. Spangler Pdf

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,Xu Hua Sun
Publisher : Springer
Page : 536 pages
File Size : 52,9 Mb
Release : 2018-03-29
Category : Education
ISBN : 9783319635552

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Building the Foundation: Whole Numbers in the Primary Grades by Maria G. Bartolini Bussi,Xu Hua Sun Pdf

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.

Author : Colette Laborde,Marie-Jeanne Perrin-Glorian,Anna Sierpinska
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 49,6 Mb
Release : 2007-03-11
Category : Education
ISBN : 9780387304519

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Beyond the Apparent Banality of the Mathematics Classroom by Colette Laborde,Marie-Jeanne Perrin-Glorian,Anna Sierpinska Pdf

New research in mathematics education deals with the complexity of the mathematics’ classroom. The classroom teaching situation constitutes a pertinent unit of analysis for research into the ternary didactic relationship which binds teachers, students and mathematical knowledge. The classroom is considered as a complex didactic system, which offers the researcher an opportunity to gauge the boundaries of the freedom that is left with regard to choices about the knowledge to be taught and the ways of organizing the students’ learning, while giveing rise to the study of interrelations between three main elements of the teaching process the: mathematical content to be taught and learned, management of the various time dimensions, and activity of the teacher who prepares and manages the class, to the benefit of the students' knowledge and the teachers' own experience. This volume, reprinted from Educational Studies in Mathematics, Volume 59, focuses on classroom situations as a unit of analysis, the work of the teacher, and is strongly anchored in original theoretical frameworks. The contributions are formulated from the perspective of one or more theoretical frameworks but they are tackled by means of empirical investigations.

Author : Anonim
Publisher : BRILL
Page : 323 pages
File Size : 51,8 Mb
Release : 2022-02-14
Category : Education
ISBN : 9789004510685

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Special Issues in Early Childhood Mathematics Education Research by Anonim Pdf

In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood.

Author : Margie Pearse,K. M. Walton
Publisher : Corwin Press
Page : 241 pages
File Size : 40,6 Mb
Release : 2011-03-23
Category : Education
ISBN : 9781452224404

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Teaching Numeracy by Margie Pearse,K. M. Walton Pdf

Transform mathematics learning from “doing” to “thinking” American students are losing ground in the global mathematical environment. What many of them lack is numeracy—the ability to think through the math and apply it outside of the classroom. Referencing the new common core and NCTM standards, the authors outline nine critical thinking habits that foster numeracy and show you how to: Monitor and repair students’ understanding Guide students to recognize patterns Encourage questioning for understanding Develop students’ mathematics vocabulary Included are several numeracy-rich lesson plans, complete with clear directions and student handouts.

Author : Margaret Schwan Smith,Mary Kay Stein
Publisher : Unknown
Page : 104 pages
File Size : 46,9 Mb
Release : 2011
Category : Communication in mathematics
ISBN : 1483351114

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Five Practices for Orchestrating Productive Mathematics Discussions by Margaret Schwan Smith,Mary Kay Stein Pdf

Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.