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Unlocking Creativity in Solving Novel Mathematics Problems

Author : Carol R. Aldous

Publisher : Routledge

Page : 415 pages

File Size : 34,6 MB

Release : 2019-06-25

Category : Education

ISBN : 0429684266

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Book Description

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

Author : Arthur Engel

Publisher : Springer Science & Business Media

Page : 404 pages

File Size : 39,21 MB

Release : 2008-01-19

Category : Mathematics

ISBN : 0387226419

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Book Description

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.





Demystify Math, Science, and Technology

Author : Dennis Adams

Publisher : R&L Education

Page : 175 pages

File Size : 20,80 MB

Release : 2010-02-15

Category : Education

ISBN : 1607096366

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Book Description

Technology is viewed as a powerful force both in and out of school and has long been linked with math and science. Although concepts and activities of this book apply to any grade, the primary focus is on the elementary and middle school levels. This book provides principles and practical strategies for promoting creative and innovative work in math, science, and technology. The authors pay close attention to the social nature of learning and how collaboration can spark student interest in open-ended problem-solving. Shining a light on mathematic, scientific, and technological processes gives everyone more control over what is going on around them and increases understanding of how things work.



Open Middle Math

Author : Robert Kaplinsky

Publisher : Taylor & Francis

Page : 193 pages

File Size : 44,54 MB

Release : 2023-10-10

Category : Education

ISBN : 1003839886

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Book Description

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

Author : Zhou, Chunfang

Publisher : IGI Global

Page : 252 pages

File Size : 35,24 MB

Release : 2020-10-16

Category : Education

ISBN : 1799835294

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Book Description

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.



Problem Solving 101

Author : Ken Watanabe

Publisher : Penguin

Page : 130 pages

File Size : 23,36 MB

Release : 2009-03-05

Category : Business & Economics

ISBN : 1101029188

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Book Description

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

Author : John Bransford

Publisher : W H Freeman & Company

Page : 262 pages

File Size : 35,6 MB

Release : 1993

Category : Psychology

ISBN : 9780716722052

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Book Description

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.



From Where Do New Ideas Come?

Author : Carol Ruth Aldous

Publisher :

Page : 480 pages

File Size : 35,59 MB

Release : 2015-12-14

Category :

ISBN : 9780994185389

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Book Description

The findings of extensive research reported in this book are intrinsic to understanding the mystery of creativity and the solving of novel problems. It explores whether feeling can be used to help navigate a path to a solution in a novel mathematics problem solving event and seeks to identify and describe non-cognitive as well as cognitive systems of reasoning used in solving novel mathematics problems. Using a conceptual framework as a process model of creativity, a comprehensive model of creative problem solving that also incorporates the person, product and environment dimensions of creativity, is developed through the construction of a causal model.