Constructing Number
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Constructing Number
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Author : Anderson Norton
language : en
Publisher: Springer
Release Date : 2018-12-17
Constructing Number written by Anderson Norton and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-17 with Education categories.
The book synergizes research on number across two disciplines—mathematics education and psychology. The underlying problem the book addresses is how the brain constructs number. The opening chapter frames the problem in terms of children’s activity, including mental and physical actions. Subsequent chapters are organized into sections that address specific domains of number: natural numbers, fractions, and integers. Chapters within each section address ways that children build upon biological primitives (e.g., subitizing) and prior constructs (e.g., counting sequences) to construct number. The book relies on co-authored chapters and commentaries at the end of each section to create dialogue between junior faculty and senior researchers, as well as between psychologists and mathematics educators. The final chapter brings this work together around the framework of children’s activity and additional themes that arise in the collective work. The book is aimed to appeal to mathematics educators, mathematics teacher educators, mathematics education researchers, educational psychologists, cognitive psychologists, and developmental psychologists.
Young Mathematicians At Work
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Author : Catherine Twomey Fosnot
language : en
Publisher: Heinemann Educational Books
Release Date : 2001
Young Mathematicians At Work written by Catherine Twomey Fosnot and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Education categories.
Explains how children between the ages of four and eight construct a deep understanding of numbers and the operations of addition and subtraction.
Statistical Methods
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Author : Jyotiprasad Medhi
language : en
Publisher: New Age International
Release Date : 1992
Statistical Methods written by Jyotiprasad Medhi and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
The Preface Elucidates That The Text Is Designed For Degree Courses In India. However, I Imagine That It Could Play A Useful Role For Those In Britain. It Is Mainly Intended As An Introductory Text For Those Studying Social Sciences And Economics. Individuals From Other Disciplines Would, No Doubt, Still Find It Useful As A General Reference.The Chapters Are Well Written And Easy To Follow. An Appealing Feature Of The Book Is That Much Emphasis Is Placed On The Understanding And Application Of Statistical Methods. There Is Avoidance Of Excessive Presentation Of Formulae. For These Reasons Alone I Think That Students Will Find The Text Attractive. Each Chapter Finishes With A Series Of Well-Formulated Questions, Which Test The Readers' Understanding.The Two Chapters On Statistical Inference And Tests Of Significance Are Excellent.It Is A Comprehensive And Interesting Text, One That I Think Most Students Would Find Useful. Indeed, It Is An Useful Addition To My Library, Having Already Referred To It Often. The Statistician, London, Vol. 45, No. 3 (1996).
Developing Mathematical Reasoning
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Author : Pamela Weber Harris
language : en
Publisher: Corwin Press
Release Date : 2025-02-13
Developing Mathematical Reasoning written by Pamela Weber Harris and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-13 with Education categories.
Math is not rote-memorizable. Math is not random-guessable. Math is figure-out-able. Author Pam Harris argues that teaching real math—math that is free of distortions–will reach more students more effectively and result in deeper understanding and longer retention. This book is about teaching undistorted math using the kinds of mental reasoning that mathematicians do. Memorization tricks and algorithms meant to make math "easier" are full of traps that sacrifice long-term student growth for short-lived gains. Students and teachers alike have been led to believe that they’ve learned more and more math, but in reality their brains never get any stronger. Using these tricks may make facts easier to memorize in isolation, but that very disconnect distorts the reality of math. The mountain of trivia piles up until students hit a breaking point. Humanity′s most powerful system of understanding, organizing, and making an impact on the world becomes a soul-draining exercise in confusion, chaos, and lost opportunities. Developing Mathematical Reasoning: Avoiding the Trap of Algorithms emphasizes the importance of teaching students increasingly sophisticated mathematical reasoning and understanding underlying concepts rather than relying on a set rule for solving problems. This book illuminates a hierarchy of mathematical reasoning to help teachers guide students through various domains of math development, from basic counting and adding to more complex proportional and functional reasoning. Everyone is capable of understanding and doing real math. This book: Highlights the important mathematical relationships, strategies, and models for students to develop Offers personal stories, reflection sections, and extensive practical exercises for easy implementation Includes real math—a lot of it—to provide teachers with examples they can put to use in their classrooms immediately This book is a valuable resource for educators looking to reach more students by building a strong foundation of mathematical thinking in their students. By addressing common misconceptions about math and providing practical strategies for teaching real math, this book shows that everyone can use the mathematical relationships they already know to reason about new relationships. In other words, everyone can math.
1972 Census Of Construction Industries
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Author : United States. Bureau of the Census
language : en
Publisher:
Release Date : 1975
1972 Census Of Construction Industries written by United States. Bureau of the Census and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Construction industry categories.
Making Numbers Count
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Author : Chip Heath
language : en
Publisher: Random House
Release Date : 2022-01-13
Making Numbers Count written by Chip Heath and has been published by Random House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-13 with Mathematics categories.
A lively, practical, first-of-its-kind guide to understanding cold, clinical data and harnessing it to tell a persuasive story. __________ How many hours' worth of songs are on your Spotify Wrapped this year? How much is your commute time really worth? How do you work out how likely you are to get Covid based on the official statistics? How do your viewing hours track against the most popular shows on Netflix? Whether you're interested in global problems like climate change, running a business, or just grasping how few people have washed their hands between visiting the bathroom and touching you, this book will help math-lovers and math-haters alike translate the numbers that illuminate our world. Until very recently, most languages had no words for numbers greater than five - anything from six to infinity was known as 'lots'. While the numbers in our world have become increasingly complex, our brains are stuck in the past. Yet the ability to communicate and understand numbers has never mattered more. How can we more effectively translate numbers and stats - so fundamental to the next big idea - to make data come to life? Drawing on years of research into making ideas stick, Chip Heath and Karla Starr outline six critical principles that will give anyone the tools to communicate numbers with more transparency and meaning. Using concepts such as simplicity, concreteness and familiarity, they show us how to transform hard numbers into their most engaging form, allowing us to bring more data, more naturally, into decisions in our schools, our workplaces and our society.
Enc Focus
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Author :
language : en
Publisher:
Release Date : 2001
Enc Focus written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Construction
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Author :
language : en
Publisher:
Release Date : 1947
Construction written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1947 with Construction industry categories.
Construction Review
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Author :
language : en
Publisher:
Release Date : 1990
Construction Review written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Construction industry categories.
Mine The Gap For Mathematical Understanding Grades 3 5
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Author : John SanGiovanni
language : en
Publisher: Corwin Press
Release Date : 2016-09-16
Mine The Gap For Mathematical Understanding Grades 3 5 written by John SanGiovanni and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-16 with Education categories.
Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni helps us value our students’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. SanGiovanni lays out 180 high-quality tasks aligned to the standards and big ideas of Grades 3-5 mathematics, including addition and subtraction of multi-digit whole numbers, multiplication and division of single and multi-digit whole numbers, foundational fraction concepts, foundational decimal concepts, and operations with fractions and decimals. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality task what you might anticipate before students work with the task 4 student examples of the completed task showcasing a distinct "gap" commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning—better at discerning the quality and clarity of students’ understanding—and better at planning teaching based on the gaps you see.