Arithmetic Counts

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Arithmetic Counts

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Author : Paul Shoecraft
language : en
Publisher: Dorrance Publishing
Release Date : 2025-01-24

Arithmetic Counts written by Paul Shoecraft and has been published by Dorrance Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-24 with Mathematics categories.

Dr. Shoecraft may be the only mathematician since the New Math in the 1960s to seriously analyze the “lowly” subject of arithmetic and how to teach it. His breakthrough came when he experimented with teaching what needs to be understood instead of “known” (memorized), like teaching why addition problems until the algorithm they are using supposedly becomes cemented in their brains. By teaching the essence of arithmetic in sensible ways and appealing to children’s love of games, songs, and movement, he’s proven that virtually ALL children can learn arithmetic — the foundation of algebra, higher mathematics, science, technology, and more, even music! When children understand arithmetic, they own it. It’s no lonver just their teacher’s math. It’s their math! America’s children are being held back in math because of how arithmetic is drug out in elementary school. Virtually every textbook-based elementary school math program in use today is mind-numbing in its repetitiveness from grade to grade. The reason for the redundancy is to slow down the teaching of arithmetic so it can be memorized. Research shows that the human brain is not designed to remember things learned by rote when no longer practiced. That’s acknowledged in the “use-it-or-lose-it” aphorism that states the obvious, that we remember what we use and forget what we don’t. You know that to be true if you’ve ever forgotten things you once knew as well as your own name — things like an old address or a license plate number. Every child can understand base ten numeration when taught hands-on with arithmetic blocks. Thereby, every child can understand base ten arithmetic. And every child can learn how to count out the number facts, like 5 + 7 = 12, 17 - 8 = 9, 6 X 7 = 42, and 56 ÷ 7 = 8, and, if they forget one, never have to guess and risk ridicule and bad grades if they guess wrong. What matters in teaching arithmetic is not how much a child can remember but how much they can figure out if/when they forget.

Early Mathematics Counts

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Author : Yasmin A Sitabkhan
language : en
Publisher: RTI Press
Release Date : 2018-07-23

Early Mathematics Counts written by Yasmin A Sitabkhan and has been published by RTI Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-23 with Education categories.

This occasional paper examines common instructional strategies in early-grade mathematics interventions through a review of studies in classrooms in low- and middle-income countries. Twenty-four studies met the criteria for inclusion, and analyses reveal four sets of instructional strategies for which there is evidence from multiple contexts. Of the 24 studies, 16 involved the use of multiple representations, 10 involved the use of developmental progressions, 6 included supporting student use of explanation and justification, and 5 included integration of informal mathematics. Based on the review, we provide conclusions and recommendations for future research and policy

Official Gazette Of The United States Patent And Trademark Office

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Author : United States. Patent and Trademark Office
language : en
Publisher:
Release Date : 1976

Official Gazette Of The United States Patent And Trademark Office written by United States. Patent and Trademark Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Patents categories.

Introduction To Information Theory And Data Compression Second Edition

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Author : D.C. Hankerson
language : en
Publisher: CRC Press
Release Date : 2003-02-26

Introduction To Information Theory And Data Compression Second Edition written by D.C. Hankerson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-26 with Mathematics categories.

An effective blend of carefully explained theory and practical applications, this text imparts the fundamentals of both information theory and data compression. Although the two topics are related, this unique text allows either topic to be presented independently, and it was specifically designed so that the data compression section requires no prior knowledge of information theory. The treatment of information theory, while theoretical and abstract, is quite elementary, making this text less daunting than many others. After presenting the fundamental definitions and results of the theory, the authors then apply the theory to memoryless, discrete channels with zeroth-order, one-state sources. The chapters on data compression acquaint students with a myriad of lossless compression methods and then introduce two lossy compression methods. Students emerge from this study competent in a wide range of techniques. The authors' presentation is highly practical but includes some important proofs, either in the text or in the exercises, so instructors can, if they choose, place more emphasis on the mathematics. Introduction to Information Theory and Data Compression, Second Edition is ideally suited for an upper-level or graduate course for students in mathematics, engineering, and computer science. Features: Expanded discussion of the historical and theoretical basis of information theory that builds a firm, intuitive grasp of the subject Reorganization of theoretical results along with new exercises, ranging from the routine to the more difficult, that reinforce students' ability to apply the definitions and results in specific situations. Simplified treatment of the algorithm(s) of Gallager and Knuth Discussion of the information rate of a code and the trade-off between error correction and information rate Treatment of probabilistic finite state source automata, including basic results, examples, references, and exercises Octave and MATLAB image compression codes included in an appendix for use with the exercises and projects involving transform methods Supplementary materials, including software, available for download from the authors' Web site at www.dms.auburn.edu/compression

The Pleasures Of Counting

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Author : Thomas William Körner
language : en
Publisher: Cambridge University Press
Release Date : 1996-12-05

The Pleasures Of Counting written by Thomas William Körner 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 1996-12-05 with Mathematics categories.

What is the connection between the outbreak of cholera in Victorian Soho, the Battle of the Atlantic, African Eve and the design of anchors? One answer is that they are all examples chosen by Dr Tom Körner to show how a little mathematics can shed light on the world around us, and deepen our understanding of it. Dr Körner, an experienced author, describes a variety of topics which continue to interest professional mathematicians, like him. He does this using relatively simple terms and ideas, yet confronting difficulties (which are often the starting point for new discoveries) and avoiding condescension. If you have ever wondered what it is that mathematicians do, and how they go about it, then read on. If you are a mathematician wanting to explain to others how you spend your working days (and nights), then seek inspiration here.

Mathematics Counts

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Author : Great Britain. Committee of Inquiry into the Teaching of Mathematics in Schools
language : en
Publisher: Stationery Office Books (TSO)
Release Date : 1982

Mathematics Counts written by Great Britain. Committee of Inquiry into the Teaching of Mathematics in Schools and has been published by Stationery Office Books (TSO) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Education categories.

SUMMARY: Recommendations on the teaching of mathematics in primary & secondary schools in England & Wales, with particular regard to the mathematics required in further & higher education, employment & adult life generally.

The Human A Priori

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Author : A. W. Moore
language : en
Publisher: Oxford University Press
Release Date : 2023

The Human A Priori written by A. W. Moore and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Mathematics categories.

A.W. Moore presents a series of essays about the ineliminably anthropocentric nature of a priori thought. He suggests that we humans achieve nothing of real significance in philosophy, ethics, or mathematics except from a human point of view, and hence that all three of these pursuits can be said to betoken 'the human a priori'.

What S Bugging You About Math

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Author : Pandora A. Walker
language : en
Publisher: Lulu.com
Release Date : 2016-07-20

What S Bugging You About Math written by Pandora A. Walker and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-20 with Education categories.

The information contained in this book is an accumulation of my experience, research, and book reads throughout my career that has elevated me from average educator to better than average. Over the past 30 years of teaching, tutoring, and consulting with students, parents, teachers, and schools; I have narrowed down five topics that bug most people about math; the teacher, the test, the variable x, math fear, and relevance.

Understanding Audiences Customers And Users Via Analytics

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Author : Bernard J. Jansen
language : en
Publisher: Springer Nature
Release Date : 2023-09-05

Understanding Audiences Customers And Users Via Analytics written by Bernard J. Jansen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-05 with Mathematics categories.

This book presents the foundations of using analytics from the laboratory, social media platforms, and the web. The authors cover key topics including analytics strategy, data gathering approaches, data preprocessing, data quality assessment, analytical methods, tools, and validation methods. The book includes chapters explaining web analytics, social media analytics, and how to create an analytics strategy. The authors also cover on data sources, such as online surveys, crowdsourcing, eye tracking, mouse tracking, social media APIs, search logs, and analytics triangulation. The book also discusses analytical tools for social media analytics, search analytics, persona analytics, user studies, and website analytics. The authors conclude by examining the validity of online analytics.

Using Design Research And History To Tackle A Fundamental Problem With School Algebra

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Author : Sinan Kanbir
language : en
Publisher: Springer
Release Date : 2017-10-28

Using Design Research And History To Tackle A Fundamental Problem With School Algebra written by Sinan Kanbir and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-28 with Education categories.

In this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and Nerida Ellerton, tackle a persistent, and universal, problem in school mathematics—why do so many middle-school and secondary-school students find it difficult to learn algebra well? What makes the book important are the unique features which comprise the design-research approach that the authors adopted in seeking a solution to the problem. The first unique feature is that the authors offer an overview of the history of school algebra. Despite the fact that algebra has been an important component of secondary-school mathematics for more than three centuries, there has never been a comprehensive historical analysis of factors influencing the teaching and learning of that component. The authors identify, through historical analysis, six purposes of school algebra: (a) algebra as a body of knowledge essential to higher mathematical and scientific studies, (b) algebra as generalized arithmetic, (c) algebra as a prerequisite for entry to higher studies, (d) algebra as offering a language and set of procedures for modeling real-life problems, (e) algebra as an aid to describing structural properties in elementary mathematics, and (f) algebra as a study of variables. They also raise the question whether school algebra represents a unidimensional trait. Kanbir, Clements and Ellerton offer an unusual hybrid theoretical framework for their intervention study (by which seventh-grade students significantly improved their elementary algebra knowledge and skills). Their theoretical frame combined Charles Sanders Peirce’s triadic signifier-interpretant-signified theory, which is in the realm of semiotics, with Johann Friedrich Herbart’s theory of apperception, and Ken Clements’ and Gina Del Campo’s theory relating to the need to expand modes of communications in mathematics classrooms so that students engage in receptive and expressive modes. Practicing classroom teachers formed part of the research team. This book appears in Springer’s series on the “History of Mathematics Education.” Not only does it include an important analysis of the history of school algebra, but it also adopts a theoretical frame which relies more on “theories from the past,” than on contemporary theories in the field of mathematics education. The results of the well-designed classroom intervention are sufficiently impressive that the study might havecreated and illuminated a pathway for future researchers to take.