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Mathematical Problem Solving

2014-06-28 Mathematics
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Release : 2014-06-28
Genre : Mathematics
Kind : eBook
Book Rating : 486/5 ( reviews)

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Book Synopsis Mathematical Problem Solving by : ALAN H. SCHOENFELD

Download or read book Mathematical Problem Solving written by ALAN H. SCHOENFELD. This book was released on 2014-06-28. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to people with research interests in the nature of mathematical thinking at any level, topeople with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior.

Strategic Thinking in Complex Problem Solving

2016-07-06 Business & Economics
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Release : 2016-07-06
Genre : Business & Economics
Kind : eBook
Book Rating : 929/5 ( reviews)

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Book Synopsis Strategic Thinking in Complex Problem Solving by : Arnaud Chevallier

Download or read book Strategic Thinking in Complex Problem Solving written by Arnaud Chevallier. This book was released on 2016-07-06. Available in PDF, EPUB and Kindle. Book excerpt: Whether you are a student or a working professional, you can benefit from being better at solving the complex problems that come up in your life. Strategic Thinking in Complex Problem Solving provides a general framework and the necessary tools to help you do so. Based on his groundbreaking course at Rice University, engineer and former strategy consultant Arnaud Chevallier provides practical ways to develop problem solving skills, such as investigating complex questions with issue maps, using logic to promote creativity, leveraging analogical thinking to approach unfamiliar problems, and managing diverse groups to foster innovation. This book breaks down the resolution process into four steps: 1) frame the problem (identifying what needs to be done), 2) diagnose it (identifying why there is a problem, or why it hasn't been solved yet), 3) identify and select potential solutions (identifying how to solve the problem), and 4) implement and monitor the solution (resolving the problem, the 'do'). For each of these four steps - the what, why, how, and do - this book explains techniques that promotes success and demonstrates how to apply them on a case study and in additional examples. The featured case study guides you through the resolution process, illustrates how these concepts apply, and creates a concrete image to facilitate recollection. Strategic Thinking in Complex Problem Solving is a tool kit that integrates knowledge based on both theoretical and empirical evidence from many disciplines, and explains it in accessible terms. As the book guides you through the various stages of solving complex problems, it also provides useful templates so that you can easily apply these approaches to your own personal projects. With this book, you don't just learn about problem solving, but how to actually do it.

Mathematical Problem Solving

2019-02-12 Education
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Release : 2019-02-12
Genre : Education
Kind : eBook
Book Rating : 729/5 ( reviews)

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Book Synopsis Mathematical Problem Solving by : Peter Liljedahl

Download or read book Mathematical Problem Solving written by Peter Liljedahl. This book was released on 2019-02-12. Available in PDF, EPUB and Kindle. Book excerpt: This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment. Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches.

Thinking, Fast and Slow

2011-10-25 Psychology
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Release : 2011-10-25
Genre : Psychology
Kind : eBook
Book Rating : 350/5 ( reviews)

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Book Synopsis Thinking, Fast and Slow by : Daniel Kahneman

Download or read book Thinking, Fast and Slow written by Daniel Kahneman. This book was released on 2011-10-25. Available in PDF, EPUB and Kindle. Book excerpt: Major New York Times bestseller Winner of the National Academy of Sciences Best Book Award in 2012 Selected by the New York Times Book Review as one of the ten best books of 2011 A Globe and Mail Best Books of the Year 2011 Title One of The Economist's 2011 Books of the Year One of The Wall Street Journal's Best Nonfiction Books of the Year 2011 2013 Presidential Medal of Freedom Recipient Kahneman's work with Amos Tversky is the subject of Michael Lewis's The Undoing Project: A Friendship That Changed Our Minds In his mega bestseller, Thinking, Fast and Slow, Daniel Kahneman, the renowned psychologist and winner of the Nobel Prize in Economics, takes us on a groundbreaking tour of the mind and explains the two systems that drive the way we think. System 1 is fast, intuitive, and emotional; System 2 is slower, more deliberative, and more logical. The impact of overconfidence on corporate strategies, the difficulties of predicting what will make us happy in the future, the profound effect of cognitive biases on everything from playing the stock market to planning our next vacation—each of these can be understood only by knowing how the two systems shape our judgments and decisions. Engaging the reader in a lively conversation about how we think, Kahneman reveals where we can and cannot trust our intuitions and how we can tap into the benefits of slow thinking. He offers practical and enlightening insights into how choices are made in both our business and our personal lives—and how we can use different techniques to guard against the mental glitches that often get us into trouble. Winner of the National Academy of Sciences Best Book Award and the Los Angeles Times Book Prize and selected by The New York Times Book Review as one of the ten best books of 2011, Thinking, Fast and Slow is destined to be a classic.

Narrative Thinking and Storytelling for Problem Solving in Science Education

2019-05-31 Education
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Release : 2019-05-31
Genre : Education
Kind : eBook
Book Rating : 021/5 ( reviews)

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Book Synopsis Narrative Thinking and Storytelling for Problem Solving in Science Education by : Riley, John Thomas

Download or read book Narrative Thinking and Storytelling for Problem Solving in Science Education written by Riley, John Thomas. This book was released on 2019-05-31. Available in PDF, EPUB and Kindle. Book excerpt: The 21st century has seen no shortage of historic problems, which has begged the question, How is society preparing today’s young people to take on these challenges? There have been a fair number of obscure but promising approaches that warrant testing but do not currently attract the level of attention needed to secure the necessary resources for a proper test. Narrative Thinking and Storytelling for Problem Solving in Science Education is an essential academic publication that focuses on the use of storytelling to respond to the fundamental need to share experiences while also inspiring world-changing solutions through the stimulation of curiosity, imagination, and reflection. Focusing on this widespread, powerful, and multifaceted form of communication, this book centers on the use of storytelling as a narrative and rhetorical technique in scientific knowledge, research, teaching, and learning. Covering topics such as digital storytelling, narrative schema, and mediation, this powerful reference source is ideal for researchers, scientists, instructional designers, communication specialists, and academicians.

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