# Mathematical Ideas

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## Modeling Mathematical Ideas

Author | : Jennifer M. Suh,Padmanabhan Seshaiyer |

Publsiher | : Rowman & Littlefield |

Total Pages | : 227 |

Release | : 2016-12-27 |

ISBN | : 1475817606 |

Category | : Education |

Language | : EN, FR, DE, ES & NL |

**Modeling Mathematical Ideas Book Excerpt:**

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

Author | : Abdul Karim Bangura |

Publsiher | : Vernon Press |

Total Pages | : 402 |

Release | : 2020-06-02 |

ISBN | : 1622739515 |

Category | : Education |

Language | : EN, FR, DE, ES & NL |

**The African Mother Tongue and Mathematical Ideas Book Excerpt:**

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.

## Mathematics Ideas and the Physical Real

Author | : Albert Lautman |

Publsiher | : A&C Black |

Total Pages | : 352 |

Release | : 2011-06-02 |

ISBN | : 1441146547 |

Category | : Philosophy |

Language | : EN, FR, DE, ES & NL |

**Mathematics Ideas and the Physical Real Book Excerpt:**

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.

## Big Ideas In Mathematics Yearbook 2019 Association Of Mathematics Educators

Author | : Toh Tin Lam,Yeo Joseph B W |

Publsiher | : World Scientific |

Total Pages | : 404 |

Release | : 2019-05-21 |

ISBN | : 9811205396 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Big Ideas In Mathematics Yearbook 2019 Association Of Mathematics Educators Book Excerpt:**

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.

## What is a Mathematical Concept

Author | : Elizabeth de Freitas,Nathalie Sinclair,Alf Coles |

Publsiher | : Cambridge University Press |

Total Pages | : 135 |

Release | : 2017-06-22 |

ISBN | : 1108210783 |

Category | : Psychology |

Language | : EN, FR, DE, ES & NL |

**What is a Mathematical Concept Book Excerpt:**

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.

## Exploring Mathematical Modeling with Young Learners

Author | : Jennifer M. Suh,Megan H. Wickstrom,Lyn D. English |

Publsiher | : Springer Nature |

Total Pages | : 442 |

Release | : 2021-06-01 |

ISBN | : 3030639002 |

Category | : Education |

Language | : EN, FR, DE, ES & NL |

**Exploring Mathematical Modeling with Young Learners Book Excerpt:**

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.

## Mathematical Ideas

Author | : Charles David Miller,Vern E. Heeren |

Publsiher | : Pearson Scott Foresman |

Total Pages | : 371 |

Release | : 1973 |

ISBN | : 1928374650XXX |

Category | : Geometry |

Language | : EN, FR, DE, ES & NL |

**Mathematical Ideas Book Excerpt:**

## Mindset Mathematics Visualizing and Investigating Big Ideas Grade 3

Author | : Jo Boaler,Jen Munson,Cathy Williams |

Publsiher | : John Wiley & Sons |

Total Pages | : 256 |

Release | : 2018-07-12 |

ISBN | : 1119358655 |

Category | : Education |

Language | : EN, FR, DE, ES & NL |

**Mindset Mathematics Visualizing and Investigating Big Ideas Grade 3 Book Excerpt:**

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.

## Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences

Author | : Ivor Grattan-Guiness |

Publsiher | : Routledge |

Total Pages | : 813 |

Release | : 2004-11-11 |

ISBN | : 1134888392 |

Category | : History |

Language | : EN, FR, DE, ES & NL |

**Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences Book Excerpt:**

First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

## Evolution of Mathematical Concepts

Author | : Raymond L. Wilder |

Publsiher | : Courier Corporation |

Total Pages | : 242 |

Release | : 2013-01-01 |

ISBN | : 0486490610 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Evolution of Mathematical Concepts Book Excerpt:**

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.

## Handbook of International Research in Mathematics Education

Author | : Lyn D. English |

Publsiher | : Routledge |

Total Pages | : 848 |

Release | : 2002-03 |

ISBN | : 1135665796 |

Category | : Education |

Language | : EN, FR, DE, ES & NL |

**Handbook of International Research in Mathematics Education Book Excerpt:**

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.

## CliffsNotes TExES Math 4 8 115 and Math 7 12 235

Author | : Sandra Luna McCune |

Publsiher | : Houghton Mifflin Harcourt |

Total Pages | : 435 |

Release | : 2020-09-15 |

ISBN | : 0358129966 |

Category | : Study Aids |

Language | : EN, FR, DE, ES & NL |

**CliffsNotes TExES Math 4 8 115 and Math 7 12 235 Book Excerpt:**

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.

## Ethnomathematics

Author | : Marcia Ascher |

Publsiher | : Routledge |

Total Pages | : 214 |

Release | : 2017-12-01 |

ISBN | : 1351449516 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Ethnomathematics Book Excerpt:**

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

Author | : Jianpan Wang,Lianghuo Fan,Binyan Xu |

Publsiher | : World Scientific |

Total Pages | : 592 |

Release | : 2021-01-28 |

ISBN | : 9814713961 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**School Mathematics Textbooks In China Comparative Studies And Beyond Book Excerpt:**

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.

## Mathematical Enculturation

Author | : Alan Bishop |

Publsiher | : Springer Science & Business Media |

Total Pages | : 214 |

Release | : 1991-06-30 |

ISBN | : 0792312708 |

Category | : Education |

Language | : EN, FR, DE, ES & NL |

**Mathematical Enculturation Book Excerpt:**

Mathematics is in the unenviable position of being simultaneously one of the most important school subjects for today's children to study and one of the least well understood. Its reputation is awe-inspiring. Everybody knows how important it is and everybody knows that they have to study it. But few people feel comfortable with it; so much so that it is socially quite acceptable in many countries to confess ignorance about it, to brag about one's incompe tence at doing it, and even to claim that one is mathophobic! So are teachers around the world being apparently legal sadists by inflicting mental pain on their charges? Or is it that their pupils are all masochists, enjoying the thrill of self-inflicted mental torture? More seriously, do we really know what the reasons are for the mathematical activity which goes on in schools? Do we really have confidence in our criteria for judging what's important and what isn't? Do we really know what we should be doing? These basic questions become even more important when considered in the context of two growing problem areas. The first is a concern felt in many countries about the direction which mathematics education should take in the face of the increasing presence of computers and calculator-related technol ogy in society.

## Key Concepts in Teaching Primary Mathematics

Author | : Derek Haylock |

Publsiher | : SAGE |

Total Pages | : 200 |

Release | : 2007-09-17 |

ISBN | : 1849202451 |

Category | : Education |

Language | : EN, FR, DE, ES & NL |

**Key Concepts in Teaching Primary Mathematics Book Excerpt:**

Covering the key principles and concepts in the teaching and learning of mathematics in primary schools, this text provides trainee and practising teachers with a quick and easy reference to what they need to know for their course, and in the classroom. The entries are arranged alphabetically, and each contains a brief definition, followed by an explanation and discussion, practical examples and annotated suggestions for further reading. Examples of the wide-ranging material include: Anxiety about mathematics; Assessment for Learning; Cognitive conflict; Concept learning; Creativity in mathematics; Differentiation; Equivalence; Explanation; Investigation; Low attainment; Making connections; Meaningful context; Mental calculation; Numeracy; Play as a context for learning mathematics; Problem-solving; Questioning; Talk.

## Essays on Mathematical Reasoning

Author | : Jerzy Pogonowski |

Publsiher | : LIT Verlag Münster |

Total Pages | : 135 |

Release | : 2022 |

ISBN | : 3643913109 |

Category | : Electronic Book |

Language | : EN, FR, DE, ES & NL |

**Essays on Mathematical Reasoning Book Excerpt:**

This volume contains four essays which may attract the attention of those readers, who are interested in mathematical cognition The main issues and questions addressed include: How do we achieve understanding of mathematical notions and ideas? What benefits can be obtained from mistakes of great mathematicians? Which mathematical objects are standard and which are pathological? Is it possible characterize the intended models of mathematical theories in a unique way?

## Mathematical Activities for Elementary School Teachers a Problem Solving Approach to Accompany Long and Detemple s Mathematical Reasoning for Elementary Teachers

Author | : Dolan |

Publsiher | : Addison Wesley Publishing Company |

Total Pages | : 352 |

Release | : 1996-08 |

ISBN | : 9780201857542 |

Category | : Electronic Book |

Language | : EN, FR, DE, ES & NL |

**Mathematical Activities for Elementary School Teachers a Problem Solving Approach to Accompany Long and Detemple s Mathematical Reasoning for Elementary Teachers Book Excerpt:**

## Concept Based Mathematics

Author | : Jennifer T.H. Wathall |

Publsiher | : Corwin Press |

Total Pages | : 297 |

Release | : 2016-01-14 |

ISBN | : 1506332633 |

Category | : Education |

Language | : EN, FR, DE, ES & NL |

**Concept Based Mathematics Book Excerpt:**

Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you help students discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way to help students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and there’s even a companion website with additional resources.

## School and Classroom Organization

Author | : Robert E. Slavin |

Publsiher | : Routledge |

Total Pages | : 288 |

Release | : 2013-03-07 |

ISBN | : 1136564802 |

Category | : Education |

Language | : EN, FR, DE, ES & NL |

**School and Classroom Organization Book Excerpt:**

Because the organization of the classroom and the school provide the framework for teaching and learning, this important volume reviews research that focuses on specific issues including: achievement effects of alternative school and classroom organizational practices, ability grouping, departmentalization, special and remedial programs, evaluation processes, and class size. The studies utilize realistic evaluations rather than laboratory or experimental data, and do not prescribe particular practices.