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Author: Edward B. Burger
Publisher:
ISBN: 9780470458396
Category :
Languages : en
Pages :
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Book Description
Author: Edward B. Burger
Publisher:
ISBN: 9780470458396
Category :
Languages : en
Pages :
Get Book
Book Description
Author: Edward B. Burger
Publisher: Key College Publishing
ISBN:
Category : Computers
Languages : en
Pages : 196
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Book Description
This book leads students to develop a mature process that will serve them throughout their professional careers, whether inside or outside of mathematics. Its inquiry-based approach to the foundations of mathematics promotes exploration of proofs and other advanced mathematical ideas. The book uses puzzles and patterns, teaches the "prove and extend or disprove and salvage" approach to problems and proofs, and builds mathematical challenge on challenge to boost skills.
Author: Vladimir Igorevich Arnolʹd
Publisher: American Mathematical Soc.
ISBN: 9780821826973
Category : Mathematics
Languages : en
Pages : 476
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Book Description
A celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the book was born as part of the activities of World Mathematical Year 2000. It consists of 28 articles written by influential mathematicians.
Author: Edward B. Burger
Publisher:
ISBN: 9780470412268
Category :
Languages : en
Pages : 142
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Book Description
Mathematicians do not know in advance if their assertions are true, so they need to verify assertions with rigorous proofs or produce counterexamples, then attempt to salvage the assertions by transforming them into theorems. Extending the Frontiers of Mathematics: Inquiries into Proof and Argumentation invites readers to experience this progression of mathematical discovery. Burger's informal, humorous writing style and intriguing puzzles engage readers throughout the learning process. The innovative text offers a discovery-based approach that is ideal.
Author: Jorge J. More
Publisher: SIAM
ISBN: 0898713226
Category : Mathematics
Languages : en
Pages : 149
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Book Description
Mathematics of Computing -- Numerical Analysis.
Author: Roza Leikin
Publisher: Springer Nature
ISBN: 3031188683
Category : Education
Languages : en
Pages : 580
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Book Description
This book argues that mathematical challenge can be found at any level and at every age and constitutes an essential characteristic of any mathematics classroom aimed at developing the students’ mathematical knowledge and skills. Since each mathematics classroom is heterogeneous with respect to students’ mathematical potential, quality mathematical instruction results from matching the level of mathematical challenge to different students’ potential. Thus, effective integration of mathematical challenge in the instructional process is strongly connected to the equity principle of mathematics education. In the three sections in this volume readers can find diverse views on mathematical challenges in curriculum and instructional design, kinds and variation of mathematically challenging tasks and collections of mathematical problems. Evidence-based analysis is interwoven with theoretical positions expressed by the authors of the chapters. Cognitive, social and affective characteristics of challenging mathematical activities are observed and analyzed. The volume opens new avenues of research in mathematics education, and pose multiple questions about mathematical instruction rich in mathematical challenge for all. The authors invite readers to explore and enjoy mathematical challenges at different levels.
Author: Boris Koichu
Publisher: Springer Nature
ISBN: 3030584348
Category : Education
Languages : en
Pages : 219
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Book Description
This book explores the idea that mathematics educators and teachers are also problem solvers and learners, and as such they constantly experience mathematical and pedagogical disturbances. Accordingly, many original tasks and learning activities are results of personal mathematical and pedagogical disturbances of their designers, who then transpose these disturbances into learning opportunities for their students. This learning-transposition process is a cornerstone of mathematics teacher education as a lived, developing enterprise. Mathematical Encounters and Pedagogical Detours unfold the process and illustrate it by various examples. The book engages readers in original tasks, shares the results of task implementation and describes how these results inform the development of new tasks, which often intertwine mathematics and pedagogy. Most importantly, the book includes a dialogue between the authors based on the stories of their own learning, which triggers continuous exploration of learning opportunities for their students.
Author: Bharath Sriraman
Publisher: Springer
ISBN: 9783642261183
Category : Education
Languages : en
Pages : 0
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Book Description
Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.
Author: I. Grattan-Guinness
Publisher: JHU Press
ISBN: 9780801873973
Category : Mathematics
Languages : en
Pages : 980
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Book Description
The second book of a two-volume encyclopaedia which makes the vast and varied history of mathematics available in a reasonably compact format. The book offers in-depth accounts of the principal areas of activity up to the 1930s and touches on related topics, including ethnomathematics.
Author: Gabriela Goldschmidt
Publisher: Taylor & Francis
ISBN: 1000935485
Category : Technology & Engineering
Languages : en
Pages : 510
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Book Description
Design Thinking, a method widely used in design business and management, has changed the landscape of contemporary design. Whereas in the past non-designers were called upon to serve as external consultants ad-hoc, in an effort to promote creativity and innovation most design teams now consist of a mix of designers and other professionals. The impact of this development on the design landscape in recent years is so far without thorough investigation and analysis of its various influences. This book comprises an edited collection of selected papers from the 13th Design Thinking Research Symposium (DTRS13) which offers an exploration of Design Thinking from theoretical, practical, and pedagogical perspectives as well as critical analysis of the design process. The book is arranged in five parts as follows: Part 1: Thinking about design Part 2: Design thinking in the studio Part 3: Design thinking in practice and professional training Part 4: Design teams of diverse backgrounds, Interdisciplinary projects Part 5: Design and nature; visual representation Providing a comprehensive source for new perspectives on design and Design Thinking, Expanding the Frontiers of Design is ideal for designers and design academics of all disciplines wishing to strengthen and innovate their practice, as well as industry leaders who seek to consolidate their business strategies and evolve their work.
