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Author: Stephen I. Brown
Publisher: Psychology Press
Published: 2005-01-15
Total Pages: 178
ISBN-13: 1135612242
DOWNLOAD EBOOKThis book encourages readers to shift their thinking about problem posing from the "other" to themselves (i.e. that they can develop problems themselves) and offers a broader conception of what can be done with problems.
Author: Stephen I. Brown
Publisher: Psychology Press
Published: 2014-01-14
Total Pages: 355
ISBN-13: 1317717384
DOWNLOAD EBOOKAs a result of the editors' collaborative teaching at Harvard in the late 1960s, they produced a ground-breaking work -- The Art Of Problem Posing -- which related problem posing strategies to the already popular activity of problem solving. It took the concept of problem posing and created strategies for engaging in that activity as a central theme in mathematics education. Based in part upon that work and also upon a number of articles by its authors, other members of the mathematics education community began to apply and expand upon their ideas. This collection of thirty readings is a testimony to the power of the ideas that originally appeared. In addition to reproducing relevant materials, the editors of this book of readings have included a considerable amount of interpretive text which places the articles in the context of problem solving. While the preponderance of essays focus upon mathematics and mathematics education, some of them point to the relevance of problem posing to other fields such as biology or psychology. In the interpretive text that accompanies each chapter, they indicate how ideas expressed for one audience may be revisited or transformed in order to ready them for a variety of audiences.
Author: Florence Mihaela Singer
Publisher: Springer
Published: 2015-06-12
Total Pages: 587
ISBN-13: 1461462584
DOWNLOAD EBOOKThe 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.
Author: Paul Zeitz
Publisher: John Wiley & Sons
Published: 2017
Total Pages: 389
ISBN-13: 1119239907
DOWNLOAD EBOOKThis text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective.
Author: Stephen I. Brown
Publisher: Routledge
Published: 1990
Total Pages: 162
ISBN-13: 0805802576
DOWNLOAD EBOOKUpdated and expanded, this second edition satisfies the same philosophical objective as the first -- to show the importance of problem posing. Although interest in mathematical problem solving increased during the past decade, problem posing remained relatively ignored. The Art of Problem Posing draws attention to this equally important act and is the innovator in the field. Special features include: * an exploration ofthe logical relationship between problem posing and problem solving * a special chapter devoted to teaching problem posing as a separate course * sketches, drawings, diagrams, and cartoons that illustrate the schemes proposed * a special section on writing in mathematics
Author: Peter Liljedahl
Publisher: Springer
Published: 2016-06-27
Total Pages: 46
ISBN-13: 3319407309
DOWNLOAD EBOOKThis survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled.
Author: Sandor Lehoczky
Publisher: Mitchell Beazley
Published: 2006
Total Pages: 0
ISBN-13: 9780977304561
DOWNLOAD EBOOK" ... offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition."--Back cover
Author: Roberto Valenzuela
Publisher: New Riders
Published: 2014-02-26
Total Pages: 337
ISBN-13: 013374230X
DOWNLOAD EBOOKPhotographer, author, and educator Roberto Valenzuela has a proven track record for teaching and explaining difficult concepts to photographers of all skill levels. His remarkable ability to break down complicated ideas into understandable, approachable elements that photographers can truly grasp–and then use their newfound knowledge to improve their photography–made his first book, Picture Perfect Practice, a breakout success. In Picture Perfect Posing, Roberto takes on the art of posing. For many photographers, after learning to compose an image and even light it properly, a portrait can still easily be a failure if the pose is not natural, elegant, and serving the needs of both the subject and the photographer. Instead of just showing page after page of poses–like most posing books on the market–Roberto actually breaks down the concept of posing by examining the anatomy, starting with the core foundation: the spinal chord and neck. Building from there, Roberto discusses every component of what makes poses work, as well as fail. How should the model hold her hands? Bend her elbows? Position her fingers? Should the model look toward or away from the camera, and why? It all depends on what the photographer wants for the shot, and Roberto discusses the entire process, from the intent of the photographer through the execution of the pose. For those who have been discouraged by an inability to pose their subjects, or who have simply not known where to start in order to "figure it out," Picture Perfect Posing is the essential resource they need to learn how posing truly works, and how they can learn to direct the exact pose they need for the shot they want.
Author: Amanda Palmer
Publisher: Grand Central Publishing
Published: 2014-11-11
Total Pages: 349
ISBN-13: 1455581070
DOWNLOAD EBOOKRock star, crowdfunding pioneer, and TED speaker Amanda Palmer knows all about asking. Performing as a living statue in a wedding dress, she wordlessly asked thousands of passersby for their dollars. When she became a singer, songwriter, and musician, she was not afraid to ask her audience to support her as she surfed the crowd (and slept on their couches while touring). And when she left her record label to strike out on her own, she asked her fans to support her in making an album, leading to the world's most successful music Kickstarter. Even while Amanda is both celebrated and attacked for her fearlessness in asking for help, she finds that there are important things she cannot ask for-as a musician, as a friend, and as a wife. She learns that she isn't alone in this, that so many people are afraid to ask for help, and it paralyzes their lives and relationships. In this groundbreaking book, she explores these barriers in her own life and in the lives of those around her, and discovers the emotional, philosophical, and practical aspects of The Art of Asking. Part manifesto, part revelation, this is the story of an artist struggling with the new rules of exchange in the twenty-first century, both on and off the Internet. The Art of Asking will inspire readers to rethink their own ideas about asking, giving, art, and love.
Author: Béla Bollobás
Publisher: Cambridge University Press
Published: 2006-09-14
Total Pages: 392
ISBN-13: 1139936662
DOWNLOAD EBOOKCan a Christian escape from a lion? How quickly can a rumour spread? Can you fool an airline into accepting oversize baggage? Recreational mathematics is full of frivolous questions where the mathematician's art can be brought to bear. But play often has a purpose. In mathematics, it can sharpen skills, provide amusement, or simply surprise, and books of problems have been the stock-in-trade of mathematicians for centuries. This collection is designed to be sipped from, rather than consumed in one sitting. The questions range in difficulty: the most challenging offer a glimpse of deep results that engage mathematicians today; even the easiest prompt readers to think about mathematics. All come with solutions, many with hints, and most with illustrations. Whether you are an expert, or a beginner or an amateur mathematician, this book will delight for a lifetime.
