Unlocking Creativity in Solving Novel Mathematics Problems
Unlocking Creativity in Solving Novel Mathematics Problems

Author: Carol R. Aldous

Publisher: Routledge

Published: 2019-06-25

Total Pages: 415

ISBN-13: 0429684266

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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.

Unlocking Creativity in Solving Novel Mathematics Problems
Unlocking Creativity in Solving Novel Mathematics Problems

Author: Carol Aldous

Publisher: Routledge

Published: 2019-06-25

Total Pages: 337

ISBN-13: 0429684274

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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.

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

Author: Zhou, Chunfang

Publisher: IGI Global

Published: 2020-10-16

Total Pages: 252

ISBN-13: 1799835294

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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
Open Middle Math

Author: Robert Kaplinsky

Publisher: Taylor & Francis

Published: 2023-10-10

Total Pages: 193

ISBN-13: 1003839886

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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.

What Can PISA 2012 Data Tell Us?
What Can PISA 2012 Data Tell Us?

Author: Lei Mee Thien

Publisher: Springer

Published: 2016-03-22

Total Pages: 259

ISBN-13: 9463004688

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This is the first book regarding the issues of PISA that has been published with respect to the Southeast Asian region. It is hoped that the content of this book can benefit and provide greater understanding for readers of several important aspects: (a) country performance in PISA 2012 for each participating Southeast Asian country, (b) the need for international comparative studies from the perspective at all levels of the teaching and learning process, (c) equity and quality of education, (d) how PISA impacts on policy making, and (e) the initiatives and future directions, and challenges to improve PISA performance in the future cycles of the PISA Studies. The major issues raised in this book warrant investigation and reporting to all countries of the World, including not only those countries that were engaged in PISA 2012, but also to the approximately 200 countries that are currently in the United Nations Organisation. In these regards, the readership of this book could be extended to the educators, officers from the ministries of education, researchers, policy makers, practising teachers, lecturers in universities and teacher training institutions, postgraduate students, as well as both primary and secondary school principals and teachers.

Exploring Mathematics
Exploring Mathematics

Author: Daniel Grieser

Publisher: Springer

Published: 2018-05-21

Total Pages: 308

ISBN-13: 3319903217

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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.

Problem-Solving Strategies
Problem-Solving Strategies

Author: Arthur Engel

Publisher: Springer Science & Business Media

Published: 2008-01-19

Total Pages: 404

ISBN-13: 0387226419

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A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Problem Solving 101
Problem Solving 101

Author: Ken Watanabe

Publisher: Penguin

Published: 2009-03-05

Total Pages: 130

ISBN-13: 1101029188

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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.

The Ideal Problem Solver
The Ideal Problem Solver

Author: John Bransford

Publisher: W H Freeman & Company

Published: 1993

Total Pages: 262

ISBN-13: 9780716722052

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Provocative, challenging, and fun, The Ideal Problem Solver offers a sound, methodical approach for resolving problems based on the IDEAL (Identify, Define, Explore, Act, Look) model. The authors suggest new strategies for enhancing creativity, improving memory, criticizing ideas and generating alternatives, and communicating more effectively with a wider range of people. Using the results of laboratory research previously available only in a piece-meal fashion or in scientific journals, Bransford and Stein discuss such issues as Teaming new information, overcoming blocks to creativity, and viewing problems from a variety of perspectives.

Basic Maths for Nerds Guide Book Ebook
Basic Maths for Nerds Guide Book Ebook

Author: Matt Kingsley

Publisher: Matt Kingsley

Published: 2024-11-15

Total Pages: 99

ISBN-13:

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Calling all number nerds, code wizards, and curious minds!Are you ready to unlock the secrets of the universe, one equation at a time? Then grab your copy of "Basic Maths for Nerds: and embark on an epic adventure through the fascinating world of mathematics! This isn't your typical boring textbook. Inside these pages, you'll discover: Crystal-clear explanations: Say goodbye to confusing jargon and hello to easy-to-understand language that makes even the most complex concepts click. Mind-blowing real-world applications: Discover how math powers everything from video games and cryptography to space exploration and artificial intelligence. Engaging examples and challenges: Put your skills to the test with fun and challenging problems that will make you feel like a true math whiz. Motivational pep talks: Get inspired by dynamic, expert advice that will keep you motivated and excited to learn. Whether you're a student, a hobbyist, or just someone who loves to geek out on numbers, this book will equip you with the essential tools and knowledge to conquer any mathematical challenge. So, what are you waiting for? Grab your copy today and unleash your inner math genius!