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.

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.

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.

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.

The SAGE Handbook of Curriculum, Pedagogy and Assessment
The SAGE Handbook of Curriculum, Pedagogy and Assessment

Author: Dominic Wyse

Publisher: SAGE

Published: 2015-12-03

Total Pages: 1095

ISBN-13: 1473952735

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The research and debates surrounding curriculum, pedagogy and assessment are ever-growing and are of constant importance around the globe. With two volumes - containing chapters from highly respected researchers, whose work has been critical to understanding and building expertise in the field – The SAGE Handbook of Curriculum, Pedagogy and Assessment focuses on examining how curriculum is treated and developed, and its impact on pedagogy and assessment worldwide. The Handbook is organised into five thematic sections, considering: · The epistemology and methodology of curriculum · Curriculum and pedagogy · Curriculum subjects · Areas of the curriculum · Assessment and the curriculum · The curriculum and educational policy The SAGE Handbook of Curriculum, Pedagogy and Assessment’s breadth and rigour will make it essential reading for researchers and postgraduate students around the world.

The Whole Brain Business Book, Second Edition: Unlocking the Power of Whole Brain Thinking in Organizations, Teams, and Individuals
The Whole Brain Business Book, Second Edition: Unlocking the Power of Whole Brain Thinking in Organizations, Teams, and Individuals

Author: Ned Herrmann

Publisher: McGraw Hill Professional

Published: 2015-08-21

Total Pages: 432

ISBN-13: 0071843833

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The long-awaited update of the classic guide to outperforming the competition using Herrmann International's trademark Whole Brain Methodology Packed with new research, updated examples, and more actionable content, The Whole Brain Business Book outlines four basic thinking styles--administrator, talker, problem-solver, dreamer--corresponding to the four quadrants of the brain and explains that many are dominated by only one quadrant. By getting out of the "brain rut" and channeling all four quadrants, business people and organizations can become more flexible, creative, and competitive. Herrmann-Nehdi uses her extensive research and experience working with her father and expert practitioners across the globe to highlight new research developments, replace outdated information, incorporate new stories and real-world examples while building on the core applications of The Whole Brain Business Book.