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Modeling Mathematical Ideas

Modeling Mathematical Ideas Book
Author : Jennifer M. Suh,Padmanabhan Seshaiyer
Publisher : Rowman & Littlefield
Release : 2016-12-27
ISBN : 1475817606
Language : En, Es, Fr & De

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Book Description :

Modeling Mathematical Ideas combining current research and practical strategies to build teachers and students strategic competence in problem solving.This must-have book supports teachers in understanding learning progressions that addresses conceptual guiding posts as well as students’ common misconceptions in investigating and discussing important mathematical ideas related to number sense, computational fluency, algebraic thinking and proportional reasoning. In each chapter, the authors opens with a rich real-world mathematical problem and presents classroom strategies (such as visible thinking strategies & technology integration) and other related problems to develop students’ strategic competence in modeling mathematical ideas.

The African Mother Tongue and Mathematical Ideas

The African Mother Tongue and Mathematical Ideas Book
Author : Abdul Karim Bangura
Publisher : Vernon Press
Release : 2020-06-02
ISBN : 1622739515
Language : En, Es, Fr & De

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Book Description :

This book by renowned scholar Dr Abdul Karim Bangura combines linguistics and mathematics to show how and why African-centred mathematical ideas can be a driving force in Africa’s development efforts. Bangura explores the concept that Africa has been the centre of the History of Mathematics for thousands of years, as the civilizations that emerged across the continent developed contributions which would enrich both ancient and modern understanding of nature through mathematics. However, scholars and other professionals working in the field of mathematics education in Africa have identified a plethora of issues in carrying out their tasks. This is highlighted by one of the most compelling arguments in the book, which is that a major reason for these problems is the fact that the African mother tongues has been greatly neglected in the teaching of mathematics in the continent. Bangura asserts that a change has to be made in order for Africa to benefit from the exceptional opportunities mathematics offer, showing that, even if there is a great body of work connecting linguistics and mathematics, few analyses have been performed on the link between African languages and mathematics—and the ones that have been made are not theoretically-grounded on linguistics. Thus, the book begins by identifying the objects of study of linguistics and mathematics, and delineates which ones they have in common. Next, since the object of study of linguistics is language, the nine design features of language are employed to examine each of the objects as it pertains to African languages. After that, mathematical ideas of sustainability and those of tipping points are suggested as means to help Africa’s development efforts.

Cultural Development of Mathematical Ideas

Cultural Development of Mathematical Ideas Book
Author : Geoffrey B. Saxe,Indigo Esmonde
Publisher : Cambridge University Press
Release : 2012-09-28
ISBN : 0521761662
Language : En, Es, Fr & De

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Book Description :

"The book presents a general framework for the analysis of culture-cognition relations that makes use of field studies with a remote Papua New Guinea culture group, the Oksapmin, as an illustrative case"--

Big Ideas In Mathematics Yearbook 2019 Association Of Mathematics Educators

Big Ideas In Mathematics  Yearbook 2019  Association Of Mathematics Educators Book
Author : Toh Tin Lam,Yeo Joseph B W
Publisher : World Scientific
Release : 2019-05-21
ISBN : 9811205396
Language : En, Es, Fr & De

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Book Description :

The new emphasis in the Singapore mathematics education is on Big Ideas (Charles, 2005). This book contains more than 15 chapters from various experts on mathematics education that describe various aspects of Big Ideas from theory to practice. It contains chapters that discuss the historical development of mathematical concepts, specific mathematical concepts in relation to Big Ideas in mathematics, the spirit of Big Ideas in mathematics and its enactment in the mathematics classroom.This book presents a wide spectrum of issues related to Big Ideas in mathematics education. On the one end, we have topics that are mathematics content related, those that discuss the underlying principles of Big Ideas, and others that deepen the readers' knowledge in this area, and on the other hand there are practice oriented papers in preparing practitioners to have a clearer picture of classroom enactment related to an emphasis on Big Ideas.

Mathematics Ideas and the Physical Real

Mathematics  Ideas and the Physical Real Book
Author : Albert Lautman
Publisher : A&C Black
Release : 2011-06-02
ISBN : 1441146547
Language : En, Es, Fr & De

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Book Description :

Albert Lautman (1908-1944) was a French philosopher of mathematics whose work played a crucial role in the history of contemporary French philosophy. His ideas have had an enormous influence on key contemporary thinkers including Gilles Deleuze and Alain Badiou, for whom he is a major touchstone in the development of their own engagements with mathematics. Mathematics, Ideas and the Physical Real presents the first English translation of Lautman's published works between 1933 and his death in 1944. Rather than being preoccupied with the relation of mathematics to logic or with the problems of foundation, which have dominated philosophical reflection on mathematics, Lautman undertakes to develop an understanding of the broader structure of mathematics and its evolution. The two powerful ideas that are constants throughout his work, and which have dominated subsequent developments in mathematics, are the concept of mathematical structure and the idea of the essential unity underlying the apparent multiplicity of mathematical disciplines. This collection of his major writings offers readers a much-needed insight into his influence on the development of mathematics and philosophy.

Ethnomathematics

Ethnomathematics Book
Author : Arthur B. Powell,Marilyn Frankenstein
Publisher : SUNY Press
Release : 1997-01-01
ISBN : 9780791433515
Language : En, Es, Fr & De

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Book Description :

Presents the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathematics education and mathematics in general.

Exploring Mathematical Modeling with Young Learners

Exploring Mathematical Modeling with Young Learners Book
Author : Jennifer M. Suh,Megan H. Wickstrom,Lyn D. English
Publisher : Springer Nature
Release : 2021
ISBN : 3030639002
Language : En, Es, Fr & De

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Book Description :

This book conceptualizes the nature of mathematical modeling in the early grades from both teaching and learning perspectives. Mathematical modeling provides a unique opportunity to engage elementary students in the creative process of mathematizing their world. A diverse community of internationally known researchers and practitioners share studies that advance the field with respect to the following themes: The Nature of Mathematical Modeling in the Early Grades Content Knowledge and Pedagogy for Mathematical Modeling Student Experiences as Modelers Teacher Education and Professional Development in Modeling Experts in the field provide commentaries that extend and connect ideas presented across chapters. This book is an invaluable resource in illustrating what all young children can achieve with mathematical modeling and how we can support teachers and families in this important work.

CliffsNotes TExES Math 4 8 115 and Math 7 12 235

CliffsNotes TExES Math 4 8  115  and Math 7 12  235  Book
Author : Sandra Luna McCune
Publisher : Houghton Mifflin Harcourt
Release : 2020-09-15
ISBN : 0358129966
Language : En, Es, Fr & De

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Book Description :

CliffsNotes TExES Math 4-8 (115) and Math 7-12 (235) is the perfect way to study for Texas’ middle school and high school math teacher certification tests. Becoming a certified middle school math teacher and high school math teacher in Texas means first passing the TExES Math 4-8 (115) teacher certification test for middle school teachers or the TExES Math 7-12 (235) teacher certification test for high school teachers. This professional teacher certification test is required for all teachers who want to teach math in a Texas middle or high school. Covering each test’s six domains and individual competencies with in-depth subject reviews, this test-prep book also includes two model practice tests with answers and explanations for the Math 4-8 and two model practice tests with answers and explanations for the Math 7-12. Answer explanations detail why correct answers are correct, as well as what makes incorrect answer choices incorrect.

Mathematics Ideas and the Physical Real

Mathematics  Ideas and the Physical Real Book
Author : Anonim
Publisher : Bloomsbury Publishing
Release : 2011-08-04
ISBN : 144112344X
Language : En, Es, Fr & De

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Book Description :

"Originally published in French as Les Mathematiques, les idees et le reel physique. Librairie Philosophique, J. VRIN, 2006"--T.p. verso.

Mathematical Ideas

Mathematical Ideas Book
Author : Charles David Miller,Vern E. Heeren
Publisher : Pearson Scott Foresman
Release : 1973
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Mathematical Ideas book written by Charles David Miller,Vern E. Heeren, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Evolution of Mathematical Concepts

Evolution of Mathematical Concepts Book
Author : Raymond L. Wilder
Publisher : Courier Corporation
Release : 2013-01-01
ISBN : 0486490610
Language : En, Es, Fr & De

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Book Description :

Accessible to students and relevant to specialists, this remarkable book by a prominent educator offers a unique perspective on the evolutionary development of mathematics. Rather than conducting a survey of the history or philosophy of mathematics, Raymond L. Wilder envisions mathematics as a broad cultural phenomenon. His treatment examines and illustrates how such concepts as number and length were affected by historic and social events. Starting with a brief consideration of preliminary notions, this study explores the early evolution of numbers, the evolution of geometry, and the conquest of the infinite as embodied by real numbers. A detailed look at the processes of evolution concludes with an examination of the evolutionary aspects of modern mathematics.

Mindset Mathematics Visualizing and Investigating Big Ideas Grade 3

Mindset Mathematics  Visualizing and Investigating Big Ideas  Grade 3 Book
Author : Jo Boaler,Jen Munson,Cathy Williams
Publisher : John Wiley & Sons
Release : 2018-07-12
ISBN : 1119358655
Language : En, Es, Fr & De

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Book Description :

Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the third-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.

Handbook of International Research in Mathematics Education

Handbook of International Research in Mathematics Education Book
Author : Lyn D. English
Publisher : Routledge
Release : 2002-03
ISBN : 1135665796
Language : En, Es, Fr & De

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Book Description :

This state-of-the-art Handbook brings together important mathematics education research that makes a difference in both theory and practice--research that: anticipates problems and needed knowledge before they become impediments to progress; interprets future-oriented problems into researchable issues; presents the implications of research and theory development in forms that are useful to practitioners and policymakers; and facilitates the development of research communities to focus on neglected priorities or strategic opportunities. The volume represents a genuine attempt by contributors from around the world to advance the discipline, rather than simply review what has been done and what exists. The Handbook was developed in response to a number of major global catalysts for change, including the impact of national and international mathematics comparative assessment studies; the social, cultural, economic, and political influences on mathematics education and research; the influence of progressively sophisticated and available technology; and the increasing globalization of mathematics education and research. From these catalysts have emerged specific priority themes and issues for mathematics education research in the 21st century. Three key themes were identified for attention in this volume: life-long democratic access to powerful mathematical ideas; advances in research methodologies; and influences of advanced technologies. Each of these themes is examined in terms of learners, teachers, and learning contexts, with theory development as an important component of all these aspects. Dynamic and forward looking, the Handbook of International Research in Mathematics Education is distinguished by its focus on new and emerging theoretical models, perspectives, and research methodologies; its uniformly high standard of scholarship; and its emphasis on the international nature of mathematics education research. It is an essential volume for all researchers, professionals, and students interested in mathematics education research in particular and, more generally, in international developments and future directions in the broad field of educational research.

What is a Mathematical Concept

What is a Mathematical Concept  Book
Author : Elizabeth de Freitas,Nathalie Sinclair,Alf Coles
Publisher : Cambridge University Press
Release : 2017-06-22
ISBN : 1108210783
Language : En, Es, Fr & De

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Book Description :

Responding to widespread interest within cultural studies and social inquiry, this book addresses the question 'what is a mathematical concept?' using a variety of vanguard theories in the humanities and posthumanities. Tapping historical, philosophical, sociological and psychological perspectives, each chapter explores the question of how mathematics comes to matter. Of interest to scholars across the usual disciplinary divides, this book tracks mathematics as a cultural activity, drawing connections with empirical practice. Unlike other books in this area, it is highly interdisciplinary, devoted to exploring the ontology of mathematics as it plays out in different contexts. This book will appeal to scholars who are interested in particular mathematical habits - creative diagramming, structural mappings, material agency, interdisciplinary coverings - that shed light on both mathematics and other disciplines. Chapters are also relevant to social sciences and humanities scholars, as each offers philosophical insight into mathematics and how we might live mathematically.

Mindset Mathematics Visualizing and Investigating Big Ideas Grade 7

Mindset Mathematics  Visualizing and Investigating Big Ideas  Grade 7 Book
Author : Jo Boaler,Jen Munson,Cathy Williams
Publisher : John Wiley & Sons
Release : 2019-07-05
ISBN : 1119358019
Language : En, Es, Fr & De

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Book Description :

Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the seventh-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.

Ethnomathematics

Ethnomathematics Book
Author : Marcia Ascher
Publisher : Routledge
Release : 2017-12-01
ISBN : 1351449516
Language : En, Es, Fr & De

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Book Description :

In this truly one-of-a-kind book, Ascher introduces the mathematical ideas of people in traditional, or ""small-scale"", cultures often omitted from discussion of mathematics. Topics such as ""Numbers: Words and Symbols"", ""Tracing Graphs in the Sand"", ""The Logic of Kin Relations"", ""Chance and Strategy in Games and Puzzles"", and ""The Organization and Modeling of Space"" are traced in various cultures including the Inuit, Navajo, and Iroquois of North America; the Inca of South America; the Malekula, Warlpiri, Maori, and Caroline Islanders of Oceania, and the Tshokwe, Bushoong, and Kpelle of Africa. As Ascher explores mathematical ideas involving numbers, logic, spatial configuration, and the organization of these into systems and structures, readers gain both a broader understanding and anappreciation for the idease of other peoples.

School Mathematics Textbooks In China Comparative Studies And Beyond

School Mathematics Textbooks In China  Comparative Studies And Beyond Book
Author : Jianpan Wang,Lianghuo Fan,Binyan Xu
Publisher : World Scientific
Release : 2021-01-28
ISBN : 9814713961
Language : En, Es, Fr & De

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Book Description :

Our collected work contains mathematics education research papers. Comparative studies of school textbooks cover content selection, compilation style, representation method, design of examples and exercises, mathematics investigation, the use of information technology, and composite difficulty level, to name a few. Other papers included are about representation of basic mathematical thought in school textbooks, a study on the compilation features of elementary school textbooks, and a survey of the effect of using new elementary school textbooks.

Magical Mathematics

Magical Mathematics Book
Author : Persi Diaconis,Ron Graham
Publisher : Princeton University Press
Release : 2011-10-03
ISBN : 1400839386
Language : En, Es, Fr & De

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Book Description :

The mathematics behind some of the world's most amazing card tricks Magical Mathematics reveals the secrets of fun-to-perform card tricks—and the profound mathematical ideas behind them—that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. Diaconis and Graham tell the stories—and reveal the best tricks—of the eccentric and brilliant inventors of mathematical magic. The book exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card Monte, traces the history of mathematical magic back to the oldest mathematical trick—and much more.

Mindset Mathematics Visualizing and Investigating Big Ideas Grade 1

Mindset Mathematics  Visualizing and Investigating Big Ideas  Grade 1 Book
Author : Jo Boaler,Jen Munson,Cathy Williams
Publisher : John Wiley & Sons
Release : 2021-01-27
ISBN : 1119358620
Language : En, Es, Fr & De

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Book Description :

Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the first-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.