Unlocking Creativity in Solving Novel Mathematics Problems

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Author :
Publisher : Routledge
ISBN 13 : 0429684266
Total Pages : 400 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Unlocking Creativity in Solving Novel Mathematics Problems by : Carol R. Aldous

Download or read book Unlocking Creativity in Solving Novel Mathematics Problems written by Carol R. Aldous and published by Routledge. This book was released on 2019-06-25 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlocking Creativity in Solving Novel Mathematics Problems delivers a fascinating insight into thinking and feeling approaches used in creative problem solving and explores whether attending to ‘feeling’ makes any difference to solving novel problems successfully. With a focus on research throughout, this book reveals ways of identifying, describing and measuring ‘feeling’ (or ‘intuition’) in problem-solving processes. It details construction of a new creative problem-solving conceptual framework using cognitive and non-cognitive elements, including the brain’s visuo-spatial and linguistic circuits, conscious and non-conscious mental activity, and the generation of feeling in listening to the self, identified from verbal data. This framework becomes the process model for developing a comprehensive quantitative model of creative problem solving incorporating the Person, Product, Process and Environment dimensions of creativity. In a world constantly seeking new ideas and new approaches to solving complex problems, the application of this book’s findings will revolutionize the way students, teachers, businesses and industries approach novel problem solving, and mathematics learning and teaching.

Creative Problem Solving in School Mathematics

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Publisher :
ISBN 13 : 9780395345467
Total Pages : 295 pages
Book Rating : 4.3/5 (454 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 1983 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Awesome Math

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Publisher : John Wiley & Sons
ISBN 13 : 1119575737
Total Pages : 294 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Awesome Math by : Titu Andreescu

Download or read book Awesome Math written by Titu Andreescu and published by John Wiley & Sons. This book was released on 2019-12-17 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Help your students to think critically and creatively through team-based problem solving instead of focusing on testing and outcomes. Professionals throughout the education system are recognizing that standardized testing is holding students back. Schools tend to view children as outcomes rather than as individuals who require guidance on thinking critically and creatively. Awesome Math focuses on team-based problem solving to teach discrete mathematics, a subject essential for success in the STEM careers of the future. Built on the increasingly popular growth mindset, this timely book emphasizes a problem-solving approach for developing the skills necessary to think critically, creatively, and collaboratively. In its current form, math education is a series of exercises: straightforward problems with easily-obtained answers. Problem solving, however, involves multiple creative approaches to solving meaningful and interesting problems. The authors, co-founders of the multi-layered educational organization AwesomeMath, have developed an innovative approach to teaching mathematics that will enable educators to: Move their students beyond the calculus trap to study the areas of mathematics most of them will need in the modern world Show students how problem solving will help them achieve their educational and career goals and form lifelong communities of support and collaboration Encourage and reinforce curiosity, critical thinking, and creativity in their students Get students into the growth mindset, coach math teams, and make math fun again Create lesson plans built on problem based learning and identify and develop educational resources in their schools Awesome Math: Teaching Mathematics with Problem Based Learning is a must-have resource for general education teachers and math specialists in grades 6 to 12, and resource specialists, special education teachers, elementary educators, and other primary education professionals.

Introducing Problem-Based Learning (PBL) for Creativity and Innovation in Chinese Universities: Emerging Research and Opportunities

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Author :
Publisher : IGI Global
ISBN 13 : 1799835294
Total Pages : 252 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Introducing Problem-Based Learning (PBL) for Creativity and Innovation in Chinese Universities: Emerging Research and Opportunities by : Zhou, Chunfang

Download or read book Introducing Problem-Based Learning (PBL) for Creativity and Innovation in Chinese Universities: Emerging Research and Opportunities written by Zhou, Chunfang and published by IGI Global. This book was released on 2020-10-16 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chinese universities are striving to integrate new educational elements such as student-centered learning, group learning, active learning, and learning by doing into current traditional curriculum systems for creativity development among young generations. However, the concept of creativity by its very nature is a complex term of many perspectives. It is necessary to clarify what creativity is, how creativity can be fostered in learning environments, and what universities should do in order to foster creative young talents. Introducing Problem-Based Learning (PBL) for Creativity and Innovation in Chinese Universities: Emerging Research and Opportunities is a critical scholarly resource that provides a multidimensional understanding on both challenges and opportunities of fostering creativity and PBL in Chinese universities and particularly discusses this implementation in a Chinese cultural context. Though related to a Chinese cultural context, the book can inspire other universities in other cultures, particularly in Asian areas, to learn why PBL is a potential strategy for creativity development and to rethink how to facilitate the innovation capability of universities in the future. Featuring a wide range of topics such as course design, educational technology, and curriculum development, this book is ideal for education professionals, academicians, teaching professors, researchers, administrators, and students.

Open Middle Math

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1003839886
Total Pages : 193 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Open Middle Math by : Robert Kaplinsky

Download or read book Open Middle Math written by Robert Kaplinsky and published by Taylor & Francis. This book was released on 2023-10-10 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.

Thinking in Problems

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817684069
Total Pages : 405 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Thinking in Problems by : Alexander A. Roytvarf

Download or read book Thinking in Problems written by Alexander A. Roytvarf and published by Springer Science & Business Media. This book was released on 2013-01-04 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician’s point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving mathematical problems, and this book outlines the tools necessary to improve the reader’s technique. The text is divided into twelve chapters, each providing corresponding hints, explanations, and finalization of solutions for the problems in the given chapter. For the reader’s convenience, each exercise is marked with the required background level. This book implements a variety of strategies that can be used to solve mathematical problems in fields such as analysis, calculus, linear and multilinear algebra and combinatorics. It includes applications to mathematical physics, geometry, and other branches of mathematics. Also provided within the text are real-life problems in engineering and technology. Thinking in Problems is intended for advanced undergraduate and graduate students in the classroom or as a self-study guide. Prerequisites include linear algebra and analysis.

The Elements of Creativity and Giftedness in Mathematics

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 946091439X
Total Pages : 231 pages
Book Rating : 4.4/5 (69 download)

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Book Synopsis The Elements of Creativity and Giftedness in Mathematics by : B. Sriraman

Download or read book The Elements of Creativity and Giftedness in Mathematics written by B. Sriraman and published by Springer Science & Business Media. This book was released on 2011-07-23 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Elements of Creativity and Giftedness in Mathematics edited by Bharath Sriraman and KyeongHwa Lee covers recent advances in mathematics education pertaining to the development of creativity and giftedness. The book is international in scope in the “sense” that it includes numerous studies on mathematical creativity and giftedness conducted in the U.S.A, China, Korea, Turkey, Israel, Sweden, and Norway in addition to cross-national perspectives from Canada and Russia. The topics include problem -posing, problem-solving and mathematical creativity; the development of mathematical creativity with students, pre and in-service teachers; cross-cultural views of creativity and giftedness; the unpacking of notions and labels such as high achieving, inclusion, and potential; as well as the theoretical state of the art on the constructs of mathematical creativity and giftedness. The book also includes some contributions from the first joint meeting of the American Mathematical Society and the Korean Mathematical Society in Seoul, 2009. Topics covered in the book are essential reading for graduate students and researchers interested in researching issues and topics within the domain of mathematical creativity and mathematical giftedness. It is also accessible to pre-service and practicing teachers interested in developing creativity in their classrooms, in addition to professional development specialists, mathematics educators, gifted educators, and psychologists.

Math-terpieces

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Author :
Publisher : Scholastic Inc.
ISBN 13 : 1338191837
Total Pages : 36 pages
Book Rating : 4.3/5 (381 download)

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Book Synopsis Math-terpieces by : Greg Paprocki

Download or read book Math-terpieces written by Greg Paprocki and published by Scholastic Inc.. This book was released on 2017-02-28 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: NEW YORK TIMES bestselling author Greg Tang challenges kids to solve problems creatively while introducing art history. In his most ground-breaking book since THE BEST OF TIMES (Fall 2002), Greg Tang underscores the importance of four basic rules in problem-solving. Keeping an open mind, looking for unusual number combinations, using multiple skills (like subtracting to add) and looking for patterns, will guarantee any child success in math. In MATH-TERPIECES, Tang continues to challenge kids with his innovative approach to math, and uses art history to expand his vision for creative problem-solving.

The Art of Mathematical Problem Solving

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Author :
Publisher : Lulu.com
ISBN 13 : 1329428900
Total Pages : 268 pages
Book Rating : 4.3/5 (294 download)

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Book Synopsis The Art of Mathematical Problem Solving by : Richard M. Beekman

Download or read book The Art of Mathematical Problem Solving written by Richard M. Beekman and published by Lulu.com. This book was released on 2016-01-30 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is a fine art, like painting, sculpture, or music. This book teaches the art of solving challenging mathematics problems. Part I presents a general process for solving problems. Part II contains 35 difficult and challenging mathematics problems with complete solutions. The goal is to teach the reader how to proceed from an initial state of "panic and fear" to finding a beautiful and elegant solution to a problem.

Creative Problem Solving in School Mathematics

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Publisher :
ISBN 13 : 9780395345474
Total Pages : 16 pages
Book Rating : 4.3/5 (454 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 1983 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Creative Problem Solving in School Mathematics

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Publisher :
ISBN 13 : 9780395345481
Total Pages : 20 pages
Book Rating : 4.3/5 (454 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 1983 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Problem Posing

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Author :
Publisher : Springer
ISBN 13 : 1461462584
Total Pages : 587 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Mathematical Problem Posing by : Florence Mihaela Singer

Download or read book Mathematical Problem Posing written by Florence Mihaela Singer and published by Springer. This book was released on 2015-06-12 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years. ​​

Demystify Math, Science, and Technology

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Publisher : R&L Education
ISBN 13 : 1607096366
Total Pages : 176 pages
Book Rating : 4.6/5 (7 download)

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Book Synopsis Demystify Math, Science, and Technology by : Dennis Adams

Download or read book Demystify Math, Science, and Technology written by Dennis Adams and published by R&L Education. This book was released on 2010-02-15 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides principles and practical strategies for promoting creative and innovative work in math, science, and technology.

Problem Solving in Mathematics Education

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Author :
Publisher : WTM-Verlag Münster
ISBN 13 : 3959870132
Total Pages : 250 pages
Book Rating : 4.9/5 (598 download)

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Book Synopsis Problem Solving in Mathematics Education by : Torsten Fritzlar

Download or read book Problem Solving in Mathematics Education written by Torsten Fritzlar and published by WTM-Verlag Münster. This book was released on 2016-06-30 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: From 3rd to 5th of September 2015 the 17th international ProMath conference (Problem Solving in Mathematics Education) took place at the Faculty of Education of the Martin Luther University Halle-Wittenberg (Germany). For the first time, it was combined with the annual meeting of the working group “Problem Solving” of the Society of Didactics of Mathematics. This book contains 20 peer reviewed articles of researchers from five European countries. The topics of the papers evolved around different areas of learning and problem solving. There are some theoretical papers on problem oriented mathematics instruction and specific aspects of problem solving and creativity as well as reports on detailed studies of problem solving processes of pupils and preservice teachers. Authors also present experiences with “real” problem solving instruction in different countries, considerations and teaching experiments on didactic concepts to foster pupils’ problem solving abilities, and they describe mathematically rich problem fields and their potentials for mathematical investigations in class. ProMath is a group of experienced and early career researchers in the field of mathematics education who are interested in investigating and fostering mathematical problem solving and problem oriented mathematics teaching.

Exploring Mathematics

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Publisher : Springer
ISBN 13 : 3319903217
Total Pages : 308 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Exploring Mathematics by : Daniel Grieser

Download or read book Exploring Mathematics written by Daniel Grieser and published by Springer. This book was released on 2018-05-21 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book. Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is required, including an understanding of numbers and elementary geometry, but no calculus. Including numerous exercises, with hints provided, this textbook is suitable for self-study and use alongside lecture courses.

Mathematical Creativity and Mathematical Giftedness

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Author :
Publisher : Springer
ISBN 13 : 3319731564
Total Pages : 428 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Mathematical Creativity and Mathematical Giftedness by : Florence Mihaela Singer

Download or read book Mathematical Creativity and Mathematical Giftedness written by Florence Mihaela Singer and published by Springer. This book was released on 2018-03-07 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the relationships between mathematical creativity and mathematical giftedness. It gathers the results of a literature review comprising all papers addressing mathematical creativity and giftedness presented at the International Congress on Mathematical Education (ICME) conferences since 2000. How can mathematical creativity contribute to children’s balanced development? What are the characteristics of mathematical giftedness in early ages? What about these characteristics at university level? What teaching strategies can enhance creative learning? How can young children’s mathematical promise be preserved and cultivated, preparing them for a variety of professions? These are some of the questions addressed by this book. The book offers, among others: analyses of substantial learning environments that promote creativity in mathematics lessons; discussions of a variety of strategies for posing and solving problems; investigations of students’ progress throughout their schooling; and examinations of technological tools and virtual resources meant to enhance learning with understanding. Multiple perspectives in the interdisciplinary fields of mathematical creativity and giftedness are developed to offer a springboard for further research. The theoretical and empirical studies included in the book offer a valuable resource for researchers, as well as for teachers of gifted students in specialized or inclusive settings, at various levels of education.

Problem Solving 101

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Author :
Publisher : Penguin
ISBN 13 : 1101029188
Total Pages : 130 pages
Book Rating : 4.1/5 (1 download)

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Book Synopsis Problem Solving 101 by : Ken Watanabe

Download or read book Problem Solving 101 written by Ken Watanabe and published by Penguin. This book was released on 2009-03-05 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fun and simple problem-solving guide that took Japan by storm Ken Watanabe originally wrote Problem Solving 101 for Japanese schoolchildren. His goal was to help shift the focus in Japanese education from memorization to critical thinking, by adapting some of the techniques he had learned as an elite McKinsey consultant. He was amazed to discover that adults were hungry for his fun and easy guide to problem solving and decision making. The book became a surprise Japanese bestseller, with more than 370,000 in print after six months. Now American businesspeople can also use it to master some powerful skills. Watanabe uses sample scenarios to illustrate his techniques, which include logic trees and matrixes. A rock band figures out how to drive up concert attendance. An aspiring animator budgets for a new computer purchase. Students decide which high school they will attend. Illustrated with diagrams and quirky drawings, the book is simple enough for a middleschooler to understand but sophisticated enough for business leaders to apply to their most challenging problems.