Minds On Mathematics


Minds On Mathematics
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Minds On Mathematics


Minds On Mathematics
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Author : Wendy Ward Hoffer
language : en
Publisher: Heinemann Educational Books
Release Date : 2012

Minds On Mathematics written by Wendy Ward Hoffer 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 2012 with Education categories.


Minds-on Mathematics explains the core elements of math workshop and provides detailed strategies for implementing the workshop structure, including Lesson Openers that engage students,Minilessons that model thinking and problem solving.



Growing Mathematical Minds


Growing Mathematical Minds
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Author : Jennifer S. McCray
language : en
Publisher: Routledge
Release Date : 2018-08-16

Growing Mathematical Minds written by Jennifer S. McCray and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-16 with Education categories.


Growing Mathematical Minds is the documentation of an innovative, bi-directional process of connecting research and practice in early childhood mathematics. The book translates research on early mathematics from developmental psychology into terms that are meaningful to teachers and readily applicable in early childhood classrooms. It documents teacher responses, and conveys their thoughts and questions back to representative researchers, who reply in turn. In so doing, this highly useful book creates a conversation, in which researchers and teachers each bring their expertise to bear; their communication about these topics—informed by the thinking, commitment, and experience of both groups—helps us better understand how developmental psychology can improve math teaching, and how math teaching can, in turn, inform developmental science. The book bridges the gap between research and practice, helping teachers to adopt evidence-based practices and apply cutting-edge research findings, and prompting developmental researchers to consider their work within the framework of practice. Growing Mathematical Minds identifies and elucidates research with profound implications for teaching children from three to eight years so they develop foundational math knowledge and skills, positive attitudes toward math, and basic abilities to think mathematically.



Adventures Of Mind And Mathematics


Adventures Of Mind And Mathematics
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Author : Wolff-Michael Roth
language : en
Publisher: Springer Nature
Release Date : 2020-08-24

Adventures Of Mind And Mathematics written by Wolff-Michael Roth and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-24 with Mathematics categories.


This monograph uses the concept and category of “event” in the study of mathematics as it emerges from an interaction between levels of cognition, from the bodily experiences to symbolism. It is subdivided into three parts.The first moves from a general characterization of the classical approach to mathematical cognition and mind toward laying the foundations for a view on the mathematical mind that differs from going approaches in placing primacy on events.The second articulates some common phenomena–mathematical thought, mathematical sign, mathematical form, mathematical reason and its development, and affect in mathematics–in new ways that are based on the previously developed ontology of events. The final part has more encompassing phenomena as its content, most prominently the thinking body of mathematics, the experience in and of mathematics, and the relationship between experience and mind. The volume is well-suited for anyone with a broad interest in educational theory and/or social development, or with a broad background in psychology.



Deep Thinking


Deep Thinking
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Author : William Byers
language : en
Publisher: World Scientific
Release Date : 2014-09-22

Deep Thinking written by William Byers and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-22 with Education categories.


There is more than one way to think. Most people are familiar with the systematic, rule-based thinking that one finds in a mathematical proof or a computer program. But such thinking does not produce breakthroughs in mathematics and science nor is it the kind of thinking that results in significant learning. Deep thinking is a different and more basic way of using the mind. It results in the discontinuous “aha!” experience, which is the essence of creativity. It is at the heart of every paradigm shift or reframing of a problematic situation. The identification of deep thinking as the default state of the mind has the potential to reframe our current approach to technological change, education, and the nature of mathematics and science. For example, there is an unbridgeable gap between deep thinking and computer simulations of thinking. Many people suspect that such a gap exists, but find it difficult to make this intuition precise. This book identifies the way in which the authentic intelligence of deep thinking differs from the artificial intelligence of “big data” and “analytics”. Deep thinking is the essential ingredient in every significant learning experience, which leads to a new way to think about education. It is also essential to the construction of conceptual systems that are at the heart of mathematics and science, and of the technologies that shape the modern world. Deep thinking can be found whenever one conceptual system morphs into another. The sources of this study include the cognitive development of numbers in children, neuropsychology, the study of creativity, and the historical development of mathematics and science. The approach is unusual and original. It comes out of the author's lengthy experience as a mathematician, teacher, and writer of books about mathematics and science, such as How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics and The Blind Spot: Science and the Crisis of Uncertainty. Contents:What is Deep Thinking?Conceptual SystemsDeep Thinking in Mathematics and ScienceDeep Thinking in the Mind and the BrainDeep Thinking and CreativityDeep LearningGood TeachingUndergraduate MathematicsWhat the Mind Can Teach Us About MathematicsWhat Mathematics Can Teach Us About the MindReferences Readership: Students, graduate students and researchers with an interest in mathematics, mathematicians, scientists, philosophers, psychologists, and readers who use mathematics in their work. Key Features:In this book, the author, a mathematician, demonstrates the specific difference between creative mathematical thought and the analytic thought of logic and the artificial intelligence of computersThis book shows why learning is a creative activity and demonstrates how teaching and learning must undergo radical changes in this age of rapid technological changeMathematics is a model for how people think and it reveals the essence of intelligenceThe author, a mathematician, demonstrates that creativity is a basic feature of the world. The same phenomenon of creative intelligence underlies the theory of evolution, child development, learning, and scientific and mathematical research. Creativity is so natural that even babies are capable of it but so difficult that adults have great trouble with it. This book explains the reasons behind this apparent paradoxKeywords:Mathematics;Cognitive Development;Thinking;Education;Mathematics Education;Conceptual Systems



A Mind For Mathematics


A Mind For Mathematics
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Author : Nanci N. Smith
language : en
Publisher:
Release Date : 2016-11-14

A Mind For Mathematics written by Nanci N. Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-14 with Education categories.


"In A Mind for Mathematics: Meaningful Teaching and Learning in Elementary Classrooms, Smith breaks down the complex components of teaching mathematics and divides them into practical strategies. She fuses mathematics research, useful classroom strategies, and examples from K-6 classrooms to help teachers influence students to work hard, grapple with challenging problems, and ultimately value mathematics." -- Back cover



The Number Sense


The Number Sense
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Author : Stanislas Dehaene
language : en
Publisher: OUP USA
Release Date : 2011-04-29

The Number Sense written by Stanislas Dehaene and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-29 with Mathematics categories.


"Our understanding of how the human brain performs mathematical calculations is far from complete. In The Number Sense, Stanislas Dehaene offers readers an enlightening exploration of the mathematical mind. Using research showing that human infants have a rudimentary number sense, Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. But how then did we leap from this basic number ability to trigonometry, calculus, and beyond? Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. Tracing the history of numbers, we learn that in early times, people indicated numbers by pointing to part of their bodies, and how Roman numerals were replaced by modern numbers. On the way, we also discover many fascinating facts: for example, because Chinese names for numbers are short, Chinese people can remember up to nine or ten digits at a time, while English-speaking people can only remember seven. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how math can open up a window on the human mind"--Provided by publisher.



Engaging Minds In Science And Math Classrooms


Engaging Minds In Science And Math Classrooms
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Author : Eric Brunsell
language : en
Publisher: ASCD
Release Date : 2014-02-25

Engaging Minds In Science And Math Classrooms written by Eric Brunsell and has been published by ASCD this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-25 with Education categories.


This book is brimming with ideas and activities that are aligned with standards and high expectations to engage and motivate all learners in STEM classrooms.



A Mind For Numbers


A Mind For Numbers
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Author : Barbara Oakley, PhD
language : en
Publisher: Penguin
Release Date : 2014-07-31

A Mind For Numbers written by Barbara Oakley, PhD and has been published by Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-31 with Self-Help categories.


The companion book to COURSERA®'s wildly popular massive open online course "Learning How to Learn" Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a new skill set, A Mind for Numbers offers the tools you need to get a better grasp of that intimidating material. Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options—both to rise in the military and to explore other careers—she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire life. In A Mind for Numbers, Dr. Oakley lets us in on the secrets to learning effectively—secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions—you just need the creativity to see them. For example, there are more than three hundred different known proofs of the Pythagorean Theorem. In short, studying a problem in a laser-focused way until you reach a solution is not an effective way to learn. Rather, it involves taking the time to step away from a problem and allow the more relaxed and creative part of the brain to take over. The learning strategies in this book apply not only to math and science, but to any subject in which we struggle. We all have what it takes to excel in areas that don't seem to come naturally to us at first, and learning them does not have to be as painful as we might think.



Mathematical Mind Benders


Mathematical Mind Benders
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Author : Peter Winkler
language : en
Publisher: CRC Press
Release Date : 2007-08-17

Mathematical Mind Benders written by Peter Winkler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-17 with Mathematics categories.


Peter Winkler is at it again. Following the enthusiastic reaction to Mathematical Puzzles: A Connoisseur's Collection, Peter has compiled a new collection of elegant mathematical puzzles to challenge and entertain the reader. The original puzzle connoisseur shares these puzzles, old and new, so that you can add them to your own anthology. This book is for lovers of mathematics, lovers of puzzles, lovers of a challenge. Most of all, it is for those who think that the world of mathematics is orderly, logical, and intuitive-and are ready to learn otherwise!



Early Childhood Math Routines


Early Childhood Math Routines
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Author : Antonia Cameron
language : en
Publisher:
Release Date : 2020

Early Childhood Math Routines written by Antonia Cameron and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Mathematics categories.


"This book begins by pushing back on the kind of rote routines that lack opportunities for reasoning (like the calendar) that teachers often use in early childhood and primary classrooms. Instead, the author offers innovations on old routines and some new routines that encourage reasoning, argumentation, and the development of important math ideas. She focuses on using math routines in playful ways with your children. See chapter titles for the different routines featured in the book"--