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Analysis Of Arithmetic For Mathematics Teaching

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Analysis Of Arithmetic For Mathematics Teaching

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Author : Gaea Leinhardt
language : en
Publisher: Routledge
Release Date : 2020-11-25

Analysis Of Arithmetic For Mathematics Teaching written by Gaea Leinhardt and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-25 with Education categories.

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.

Analysis Of Arithmetic For Mathematics Teaching

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Author : Gaea Leinhardt
language : en
Publisher: Routledge
Release Date : 2020-11-25

Strategies For Teaching Whole Number Computation

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Author : David B. Spangler
language : en
Publisher: Corwin Press
Release Date : 2010-06-02

Strategies For Teaching Whole Number Computation written by David B. Spangler and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-02 with Education categories.

"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 --

Teaching And Learning About Whole Numbers In Primary School

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Author : Terezinha Nunes
language : en
Publisher: Springer
Release Date : 2016-08-29

Teaching And Learning About Whole Numbers In Primary School written by Terezinha Nunes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-29 with Education categories.

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.

Building The Foundation Whole Numbers In The Primary Grades

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Author : Maria G. Bartolini Bussi
language : en
Publisher: Springer
Release Date : 2018-03-29

Building The Foundation Whole Numbers In The Primary Grades written by Maria G. Bartolini Bussi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-29 with Education categories.

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.

Key Ideas In Teaching Mathematics

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Author : Anne Watson
language : en
Publisher: OUP Oxford
Release Date : 2013-02-21

Key Ideas In Teaching Mathematics written by Anne Watson and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-21 with Mathematics categories.

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.

Strategies For Teaching Fractions

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Author : David B. Spangler
language : en
Publisher: Corwin Press
Release Date : 2011-08-17

Strategies For Teaching Fractions written by David B. Spangler and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-17 with Education categories.

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

Analysis Of Research In The Teaching Of Mathematics

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Author :
language : en
Publisher:
Release Date : 1960

Analysis Of Research In The Teaching Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Mathematics categories.

Beyond The Apparent Banality Of The Mathematics Classroom

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Author : Colette Laborde
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-03-11

Beyond The Apparent Banality Of The Mathematics Classroom written by Colette Laborde and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-11 with Education categories.

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.

A Study Of Mathematical Education Including The Teaching Of Arithmetic Classic Reprint

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Author : Benchara Branford
language : en
Publisher:
Release Date : 2015-06-28

A Study Of Mathematical Education Including The Teaching Of Arithmetic Classic Reprint written by Benchara Branford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-28 with History categories.

Excerpt from A Study of Mathematical Education Including the Teaching of Arithmetic This study is based upon twenty years' experience of school and college education ranging through all grades, including the very elements of counting and form in the kindergarten, the mathematics appropriate to the school, and the standard required of students for an Honours Degree in our universities. Conclusions based on class-teaching and those arrived at by experiment and by a private study of the individual have served both to correct and to supplement each other. The substance of the present volume has also formed the introductory part of a course of lectures on the teaching of mathematics, which, for many years, I have given in various institutions to classes of teachers from almost all types and grades of schools, elementary as well as secondary and tertiary. I may perhaps be permitted here to acknowledge the benefit derived from the sympathetic criticism and cooperation of these teachers, in particular Mr. Hodgson, lately of Bingley Grammar School, and Mr. Walker, of Sunderland, the blind teacher of blind children. I should be ungrateful did I not also mention the stimulus received in my college days from the lectures and teaching of Professor Chrystal and the late Professor Tait, of Edinburgh University. 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.

Analysis Of Arithmetic For Mathematics Teaching

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