Number Concepts
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Children S Counting And Concepts Of Number
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Author : Karen C. Fuson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Children S Counting And Concepts Of Number written by Karen C. Fuson 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 2012-12-06 with Psychology categories.
For some time now, the study of cognitive development has been far and away the most active discipline within developmental psychology. Although there would be much disagreement as to the exact proportion of papers published in developmental journals that could be considered cognitive, 50% seems like a conservative estimate. Hence, a series of scholary books to be devoted to work in cognitive development is especially appropriate at this time. The Springer Series in Cognitive Development contains two basic types of books, namely, edited collections of original chapters by several authors, and original volumes written by one author or a small group of authors. The flagship for the Springer Series is a serial publication of the "advances" type, carrying the subtitle Progress in Cognitive Development Research. Volumes in the Progress sequence are strongly thematic, in that each is limited to some well-defined domain of cognitive developmental research (e. g. , logical and mathematical development, semantic development). All Progress volumes are edited collections. Editors of such books, upon consultation with the Series Editor, may elect to have their works published either as contributions to the Progress sequence or as separate volumes. All books written by one author or a small group of authors will be published as separate volumes within the series. is being used in the selec A fairly broad definition of cognitive development tion of books for this series.
Number Concepts
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Author : Richard Samuels
language : en
Publisher: Cambridge University Press
Release Date : 2024-02-29
Number Concepts written by Richard Samuels and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-29 with Philosophy categories.
This Element, written for researchers and students in philosophy and the behavioral sciences, reviews and critically assesses extant work on number concepts in developmental psychology and cognitive science. It has four main aims. First, it characterizes the core commitments of mainstream number cognition research, including the commitment to representationalism, the hypothesis that there exist certain number-specific cognitive systems, and the key milestones in the development of number cognition. Second, it provides a taxonomy of influential views within mainstream number cognition research, along with the central challenges these views face. Third, it identifies and critically assesses a series of core philosophical assumptions often adopted by number cognition researchers. Finally, the Element articulates and defends a novel version of pluralism about number concepts.
21883 Developing Number Concepts Planning Guide
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Author : Kathy Richardson
language : en
Publisher:
Release Date : 1999
21883 Developing Number Concepts Planning Guide written by Kathy Richardson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Education categories.
"The Planning Guide for Developing Number Concepts accompanies the series. The guide was written for kindergarten through grade three teachers and teachers of multi-grade classes. It includes comprehensive year-long teaching plans along with classroom management ideas."--Publisher's website.
Developing Math Concepts In Pre Kindergarten
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Author : Kathy Richardson
language : en
Publisher:
Release Date : 2008
Developing Math Concepts In Pre Kindergarten written by Kathy Richardson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Basic Math Concepts
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Author : Joanne K. Price
language : en
Publisher: Routledge
Release Date : 2018-05-03
Basic Math Concepts written by Joanne K. Price and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-03 with Technology & Engineering categories.
FROM THE PREFACE In the years since the first edition, I have continued to consider ways in which the texts could be improved. In this regard, I researched several topics including how people learn (learning styles, etc.), how the brain functions in storing and retrieving information, and the fundamentals of memory systems. Many of the changes incorporated in this second edition are a result of this research. The changes were field-tested during a three-year period in which I taught a water and wastewater mathematics course for Palomar Community College, San Marcos, California. All the fundamental math concepts and skills needed for daily water/wastewater treatment plant operations. This first volume, ""Basic Math Concepts for Water and Wastewater Plant Operators,"" provides a thorough review of the necessary mathematical concepts and skills encountered in the daily operations of a water and wastewater treatment plant. Each chapter begins with a skills check to allow the student to determine whether or not a review of the topic is needed. Practice problems illustrate the concepts presented in each section.
Making Up Numbers A History Of Invention In Mathematics
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Author : Ekkehard Kopp
language : en
Publisher: Open Book Publishers
Release Date : 2020-10-23
Making Up Numbers A History Of Invention In Mathematics written by Ekkehard Kopp and has been published by Open Book Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-23 with Mathematics categories.
Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
Assessing Math Concepts
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Author : Kathy Richardson
language : en
Publisher:
Release Date : 2003
Assessing Math Concepts written by Kathy Richardson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Addition categories.
Assessing math concepts is a continuum of assessments that focus on important core concepts and related "critical learning phases" that must be in place for children to understand and be successful in mathematics. This series is based on the premise that teachers can provide more effective instruction when they are aware of the essential steps that children move through in developing an understanding of foundational mathematical ideas. The assessment tools presented here provide teachers with the information they need to determine precisely what children need to learn. Students progress confidently when teachers are able to provide appropriately challenging learning experiences. - Back cover
Basic Concepts Of Measurement
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Author :
language : en
Publisher: CUP Archive
Release Date :
Basic Concepts Of Measurement written by and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Numerical Cognition And The Epistemology Of Arithmetic
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Author : Markus Pantsar
language : en
Publisher: Cambridge University Press
Release Date : 2024-03-28
Numerical Cognition And The Epistemology Of Arithmetic written by Markus Pantsar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-28 with Science categories.
Arithmetic is one of the foundations of our educational systems, but what exactly is it? Numbers are everywhere in our modern societies, but what is our knowledge of numbers really about? This book provides a philosophical account of arithmetical knowledge that is based on the state-of-the-art empirical studies of numerical cognition. It explains how humans have developed arithmetic from humble origins to its modern status as an almost universally possessed knowledge and skill. Central to the account is the realisation that, while arithmetic is a human creation, the development of arithmetic is constrained by our evolutionarily developed cognitive architecture. Arithmetic is a sophisticated cultural development, but it is ultimately based on abilities with numerosities that we already possess as infants and share with many non-human animals. Therefore, arithmetic is not purely conventional, an arbitrary game akin to chess. Instead, arithmetic is deeply connected to our basic cognitive capacities.
Rational Numbers
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Author : Thomas P. Carpenter
language : en
Publisher: Routledge
Release Date : 1993
Rational Numbers written by Thomas P. Carpenter and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Education categories.
Until recently there had been relatively little integration of programs of research on teaching, learning, curriculum, and assessment. However, in the last few years it has become increasingly apparent that a more unified program of research is needed to acquire an understanding of teaching and learning in schools that will inform curriculum development and assessment. The chapters in this volume represent a first step toward an integration of research paradigms in one clearly specified mathematical domain. Integrating a number of different research perspectives is a complex task, and ways must be found to reduce the complexity without sacrificing the integration. The research discussed in this volume is tied together because it deals with a common content strand. During the last ten years specific content domains have served as focal points for research on the development of mathematical concepts in children. The areas of addition and subtraction, algebra, rational numbers, and geometry are notable examples. Whether a similar organizational structure will prevail for programs of research that integrate the study of teaching, learning, curriculum, and assessment is an open question. The perspectives presented in this volume illustrate the potential for adopting this perspective.