Creative Mathematics

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Creative Mathematics

Author : H. S. Wall
Publisher : American Mathematical Soc.
ISBN 13 : 0883857502
Total Pages : 219 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis Creative Mathematics by : H. S. Wall

Download or read book Creative Mathematics written by H. S. Wall and published by American Mathematical Soc.. This book was released on 2006-12-31 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor H. S. Wall (1902-1971) developed Creative Mathematics over a period of many years of working with students at the University of Texas, Austin. His aim was to lead students to develop their mathematical abilities, to help them learn the art of mathematics, and to teach them to create mathematical ideas. This book, according to Wall, ``is not a compendium of mathematical facts and inventions to be read over as a connoisseur of art looks over paintings. It is, instead, a sketchbook in which readers try their hands at mathematical discovery.'' In less than two hundred pages, he takes the reader on a stimulating tour starting with numbers, and then moving on to simple graphs, the integral, simple surfaces, successive approximations, linear spaces of simple graphs, and concluding with mechanical systems. The book is self contained, and assumes little formal mathematical background on the part of the reader.

Creative Mathematics

Author : William Higginson
Publisher : Routledge
ISBN 13 : 113471131X
Total Pages : 187 pages
Book Rating : 4.1/5 (347 download)

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Book Synopsis Creative Mathematics by : William Higginson

Download or read book Creative Mathematics written by William Higginson and published by Routledge. This book was released on 2002-03-11 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring the ways in which maths skills can be learned through cross-curricular projects on arts and music, this book presents maths as a meaningful and exciting subject which holds no fear for children.

Creative Problem Solving in School Mathematics

Author : George Lenchner
Publisher :
ISBN 13 : 9780975731611
Total Pages : 281 pages
Book Rating : 4.7/5 (316 download)

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Book Synopsis Creative Problem Solving in School Mathematics by : George Lenchner

Download or read book Creative Problem Solving in School Mathematics written by George Lenchner and published by . This book was released on 2006 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Mindsets

Author : Jo Boaler
Publisher : John Wiley & Sons
ISBN 13 : 1118418271
Total Pages : 311 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Mathematical Mindsets by : Jo Boaler

Download or read book Mathematical Mindsets written by Jo Boaler and published by John Wiley & Sons. This book was released on 2015-10-12 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.

Creative Mathematics

Author : Alan F. Beardon
Publisher : Cambridge University Press
ISBN 13 : 9780521130592
Total Pages : 122 pages
Book Rating : 4.1/5 (35 download)

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Book Synopsis Creative Mathematics by : Alan F. Beardon

Download or read book Creative Mathematics written by Alan F. Beardon and published by Cambridge University Press. This book was released on 2009-12-21 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do mathematicians approach a problem, explore the possibilities, and develop an understanding of a whole area around it? The issue is not simply about obtaining 'the answer'; rather, Beardon explains that a mathematical problem is just one of many related ones that should be simultaneously investigated and discussed at various levels, and that understanding this is a crucial step in becoming a creative mathematician. The book begins with some good advice about procedure, presentation, and organization that will benefit every mathematician, budding, teaching or practiced. In the rest of the book, Beardon presents a series of simple problems, then, through discussion, consideration of special cases, computer experiments, and so on, the reader is taken through these same problems, but at an increasing level of sophistication and generality. Mathematics is rarely a closed book, and seemingly innocent problems, when examined and explored, can lead to results of significance.

Teaching Mathematics Creatively

Author : Linda Pound
Publisher : Routledge
ISBN 13 : 1000457168
Total Pages : 185 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Teaching Mathematics Creatively by : Linda Pound

Download or read book Teaching Mathematics Creatively written by Linda Pound and published by Routledge. This book was released on 2021-09-30 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and updated third edition offers a range of strategies, activities and ideas to bring mathematics to life in the primary classroom. Taking an innovative and playful approach to maths teaching, this book promotes creativity as a key element of practice and offers ideas to help your students develop knowledge, understanding and enjoyment of the subject. In the creative classroom, mathematics becomes a tool to build confidence, develop problem solving skills and motivate children. The fresh approaches explored in this book include a range of activities such as storytelling, music and construction, elevating maths learning beyond subject knowledge itself to enable students to see mathematics in a new way. Key chapters of this book explore: • Learning maths outdoors - make more noise, make more mess or work on a larger scale • Everyday maths - making sense of the numbers, patterns, shapes and measures children see around them • Music and maths – the role of rhythm in learning, and music and pattern in maths Stimulating, accessible and underpinned by the latest research and theory, this is essential reading for trainee and practising teachers who wish to embed creative approaches to maths teaching in their classroom.

Naming Infinity

Author : Loren Graham
Publisher : Harvard University Press
ISBN 13 : 0674032934
Total Pages : 252 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis Naming Infinity by : Loren Graham

Download or read book Naming Infinity written by Loren Graham and published by Harvard University Press. This book was released on 2009-03-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.

Mindset Mathematics

Author : Jo Boaler
Publisher : John Wiley & Sons
ISBN 13 : 1119358809
Total Pages : 288 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Mindset Mathematics by : Jo Boaler

Download or read book Mindset Mathematics written by Jo Boaler and published by John Wiley & Sons. This book was released on 2017-08-28 with total page 288 pages. Available in PDF, EPUB and Kindle. 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 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.

The Relationship of Affect and Creativity in Mathematics

Author : Scott A. Chamberlin
Publisher : Taylor & Francis
ISBN 13 : 100049649X
Total Pages : 168 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis The Relationship of Affect and Creativity in Mathematics by : Scott A. Chamberlin

Download or read book The Relationship of Affect and Creativity in Mathematics written by Scott A. Chamberlin and published by Taylor & Francis. This book was released on 2021-09-03 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Relationship of Affect and Creativity in Mathematics explores the five legs of creativity—Iconoclasm, Impartiality, Investment, Intuition, and Inquisitiveness—as they relate to mathematical giftedness. This book: Discusses these affective components relevant to mathematical learning experiences. Shares how affective components impact students' creative processes and products. Shows the influence of learning facilitators, including teachers, afterschool mentors, and parents. Describes facilitating environments that may enhance the likelihood that creative process and ultimately product emerge. Utilizes the expertise of two young scholars to discuss the practical effects of affect and creativity in learning experiences. This practical, research-based book is a must-read for stakeholders in gifted education, as many advanced students are underidentified in the area of creativity in mathematics.

Journey through Mathematics

Author : Enrique A. González-Velasco
Publisher : Springer Science & Business Media
ISBN 13 : 0387921540
Total Pages : 479 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Journey through Mathematics by : Enrique A. González-Velasco

Download or read book Journey through Mathematics written by Enrique A. González-Velasco and published by Springer Science & Business Media. This book was released on 2011-08-08 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an accessible and in-depth look at some of the most important episodes of two thousand years of mathematical history. Beginning with trigonometry and moving on through logarithms, complex numbers, infinite series, and calculus, this book profiles some of the lesser known but crucial contributors to modern day mathematics. It is unique in its use of primary sources as well as its accessibility; a knowledge of first-year calculus is the only prerequisite. But undergraduate and graduate students alike will appreciate this glimpse into the fascinating process of mathematical creation. The history of math is an intercontinental journey, and this book showcases brilliant mathematicians from Greece, Egypt, and India, as well as Europe and the Islamic world. Several of the primary sources have never before been translated into English. Their interpretation is thorough and readable, and offers an excellent background for teachers of high school mathematics as well as anyone interested in the history of math.

Mathematics & Common Sense

Author : Philip J. Davis
Publisher : CRC Press
ISBN 13 : 1439864322
Total Pages : 292 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematics & Common Sense by : Philip J. Davis

Download or read book Mathematics & Common Sense written by Philip J. Davis and published by CRC Press. This book was released on 2006-11-30 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface: This book is addressed to all who are curious about the nature of mathematics and its role in society. It is neither a text book nor a specialists' book. It consists of a number of loosely linked essays that may be read independently and for which I have tried to provide a leitmotif by throwing light on the relationship between mathematics and common sense. In these essays I hope to foster a critical attitude towards both the existence of common sense in mathematics and the ambiguous role that it can play.

Creative Investigations in Early Math

Author : Angela Eckhoff
Publisher : Gryphon House Incorporated
ISBN 13 : 9780876597293
Total Pages : 0 pages
Book Rating : 4.5/5 (972 download)

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Book Synopsis Creative Investigations in Early Math by : Angela Eckhoff

Download or read book Creative Investigations in Early Math written by Angela Eckhoff and published by Gryphon House Incorporated. This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encourages teachers to explore play , imagination deep involvement and risk taking all I the mathematical context.

Mathematics for Human Flourishing

Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Mathematics for Human Flourishing by : Francis Su

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

Cool String Art: Creative Activities that Make Math & Science Fun for Kids!

Author : Anders Hanson/Elissa Mann
Publisher : ABDO
ISBN 13 : 1617838241
Total Pages : 34 pages
Book Rating : 4.6/5 (178 download)

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Book Synopsis Cool String Art: Creative Activities that Make Math & Science Fun for Kids! by : Anders Hanson/Elissa Mann

Download or read book Cool String Art: Creative Activities that Make Math & Science Fun for Kids! written by Anders Hanson/Elissa Mann and published by ABDO. This book was released on 2014-09-01 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover secret math and science tricks to creating art! This title introduces young readers to the sciences, with a creative twist. Math and science educational pages are interspersed with Cool String Art activities that offer practical applications of the information students learn in class. All activities include how-to photos, easy instructions, and clear explanations. Reinforce Common Core Standards in reading, math, and science, while making cool art projects, from string art polygons to planets and constellations. Aligned to Common Core Standards and correlated to state standards. Checkerboard Library is an imprint of ABDO Publishing Company.

Learning to Teach in the Primary School

Author : Teresa Cremin
Publisher : Routledge
ISBN 13 : 1317800117
Total Pages : 1002 pages
Book Rating : 4.3/5 (178 download)

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Book Synopsis Learning to Teach in the Primary School by : Teresa Cremin

Download or read book Learning to Teach in the Primary School written by Teresa Cremin and published by Routledge. This book was released on 2014-02-24 with total page 1002 pages. Available in PDF, EPUB and Kindle. Book excerpt: Flexible, effective and creative primary school teachers require subject knowledge, an understanding of their pupils and how they learn, a range of strategies for managing behaviour and organising environments for learning, and the ability to respond to dynamic classroom situations. This third edition of Learning to Teach in the Primary School is fully updated with reference to the new National Curriculum, and has been revised to provide even more practical advice and guidance to trainee primary teachers. Twenty-two new authors have been involved and connections are now made to Northern Irish, Welsh and Scottish policies. In addition, five new units have been included on: making the most of your placement play and exploration in learning behaviour management special educational needs phonics. With Masters-level reflective tasks and suggestions for research-based further reading, the book provides valuable support to trainee teachers engaged in learning through school-based experience and through reading, discussion and reflections as part of a teacher education course. It provides an accessible and engaging introduction to knowledge about teaching and learning that every student teacher needs to acquire in order to gain qualified teacher status (QTS). This comprehensive textbook is essential reading for all students training to be primary school teachers, including those on undergraduate teacher training courses (BEd, BA with QTS, BSc with QTS), postgraduate teacher training courses (PGCE, SCITT) and employment-based teacher training courses (Schools Direct, Teach First), plus those studying Education Studies. This textbook is supported by a free companion website with additional resources for instructors and students and can be accessed at www.routledge.com/cw/Cremin.

Creative Mathematics

Author : H. S. Wall
Publisher : American Mathematical Soc.
ISBN 13 : 1614441014
Total Pages : 195 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis Creative Mathematics by : H. S. Wall

Download or read book Creative Mathematics written by H. S. Wall and published by American Mathematical Soc.. This book was released on 2006-12-31 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor H. S. Wall (1902-1971) developed Creative Mathematics over a period of many years of working with students at the University of Texas, Austin. His aim was to lead students to develop their mathematical abilities, to help them learn the art of mathematics, and to teach them to create mathematical ideas. This book, according to Wall, ``is not a compendium of mathematical facts and inventions to be read over as a connoisseur of art looks over paintings. It is, instead, a sketchbook in which readers try their hands at mathematical discovery.'' In less than two hundred pages, he takes the reader on a stimulating tour starting with numbers, and then moving on to simple graphs, the integral, simple surfaces, successive approximations, linear spaces of simple graphs, and concluding with mechanical systems. The book is self contained, and assumes little formal mathematical background on the part of the reader.

Teaching Mathematics Through Story

Author : Caroline McGrath
Publisher : Routledge
ISBN 13 : 1136598634
Total Pages : 184 pages
Book Rating : 4.1/5 (365 download)

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Book Synopsis Teaching Mathematics Through Story by : Caroline McGrath

Download or read book Teaching Mathematics Through Story written by Caroline McGrath and published by Routledge. This book was released on 2014-06-27 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do you make mathematics relevant and exciting to young children? How can mathematics and literacy be combined in a meaningful way? How can stories inspire the teaching and learning of mathematics? This book explores the exciting ways in which story can be used as a flexible resource to facilitate children’s mathematical thinking. It looks at the potential relationship between story and mathematics and practically demonstrates how they can be combined to help children connect, understand and express mathematical ideas using story language. Written for all early years practitioners and students, the book offers a playful pedagogical approach to facilitating children’s mathematical thinking which brings a creative satisfaction and confidence to teaching mathematics. Encouraging a creative approach to teaching mathematics that draws on picture books and oral mathematical stories, the book shows you how to: Move from reading to telling stories with mathematical themes Encourage children to pose and solve problems by playing with the plot of stories Enable children to translate abstract mathematical ideas to concrete representations with supporting story props and puppets Create original oral mathematical stories alongside children Capture children’s mathematical thinking in an observational framework, supported with audio or video recordings which can be shared with parents and colleagues There are free audio recordings of children and adults telling oral mathematical stories, which feature in the book. These can be downloaded from: www.routledge.com/9780415688154 This book draws on practical work with children, educators, parents, professional storytellers, and trainee practitioners, who bring theoretical ideas to life and offer insight into their mathematical story experiences. It is a ‘must have’ for all those who want to make mathematics relevant, accessible and imaginative for young children.