Solving Problems In Point Geometry
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Solving Problems In Point Geometry
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Author : Jing-Zhong Zhang
language : en
Publisher: Wsp/E.China Normal U
Release Date : 2024
Solving Problems In Point Geometry written by Jing-Zhong Zhang and has been published by Wsp/E.China Normal U this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Mathematics categories.
For over two millennia, the complexities of elementary geometry have challenged learners, burdened by the intricacies of auxiliary graphics and cumbersome calculations. Inspired by Leibniz's query, this book introduces a groundbreaking method: point geometry. By operating directly on points, it integrates the strengths of coordinate, vector, and mass point methods, simplifying operations and problem-solving. Central to this method is the identity approach, which streamlines complex problems into concise equations, unlocking multiple propositions with ease. Through meticulously crafted examples, readers are invited to explore the joy of mathematical thinking. Beyond mathematics, point geometry holds promise for artificial intelligence, offering a simple yet rich knowledge representation and reasoning method. With most solutions generated by computer programs, the potential for simplifying reasoning methods is immense, paving the way for a brighter future in both education and AI advancement. In this ambitious endeavor, the authors seek to simplify knowledge representation and reasoning, reduce the burden of learning, and accelerate the progress of artificial intelligence. This book is not just a guide to geometry; it's a catalyst for transformative thinking and discovery.
Solving Problems In Point Geometry Insights And Strategies For Mathematical Olympiad And Competitions
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Author : Jing-zhong Zhang
language : en
Publisher: World Scientific
Release Date : 2024-11-28
Solving Problems In Point Geometry Insights And Strategies For Mathematical Olympiad And Competitions written by Jing-zhong Zhang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-28 with Mathematics categories.
For over two millennia, the complexities of elementary geometry have challenged learners, burdened by the intricacies of auxiliary graphics and cumbersome calculations. Inspired by Leibniz's query, this book introduces a groundbreaking method: point geometry. By operating directly on points, it integrates the strengths of coordinate, vector, and mass point methods, simplifying operations and problem-solving.Central to this method is the identity approach, which streamlines complex problems into concise equations, unlocking multiple propositions with ease. Through meticulously crafted examples, readers are invited to explore the joy of mathematical thinking.Beyond mathematics, point geometry holds promise for artificial intelligence, offering a simple yet rich knowledge representation and reasoning method. With most solutions generated by computer programs, the potential for simplifying reasoning methods is immense, paving the way for a brighter future in both education and AI advancement.In this ambitious endeavor, the authors seek to simplify knowledge representation and reasoning, reduce the burden of learning, and accelerate the progress of artificial intelligence. This book is not just a guide to geometry; it's a catalyst for transformative thinking and discovery.
Solving Problems In Geometry Insights And Strategies For Mathematical Olympiad And Competitions
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Author : Kim Hoo Hang
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-05-19
Solving Problems In Geometry Insights And Strategies For Mathematical Olympiad And Competitions written by Kim Hoo Hang and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-19 with Mathematics categories.
'This book is a useful reference for faculty members involved in contest preparation or teaching Euclidean geometry at the college level.'MAA ReviewsThis new volume of the Mathematical Olympiad Series focuses on the topic of geometry. Basic and advanced theorems commonly seen in Mathematical Olympiad are introduced and illustrated with plenty of examples. Special techniques in solving various types of geometrical problems are also introduced, while the authors elaborate extensively on how to acquire an insight and develop strategies in tackling difficult geometrical problems.This book is suitable for any reader with elementary geometrical knowledge at the lower secondary level. Each chapter includes sufficient scaffolding and is comprehensive enough for the purpose of self-study. Readers who complete the chapters on the basic theorems and techniques would acquire a good foundation in geometry and may attempt to solve many geometrical problems in various mathematical competitions. Meanwhile, experienced contestants in Mathematical Olympiad competitions will find a large collection of problems pitched at competitions at the international level, with opportunities to practise and sharpen their problem-solving skills in geometry.
How To Solve Mathematical Problems
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Author : Wayne A. Wickelgren
language : en
Publisher: Courier Corporation
Release Date : 1995-01-01
How To Solve Mathematical Problems written by Wayne A. Wickelgren and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Science categories.
Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions.
Mathematical Olympiad In China 2023 Problems And Solutions
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Author : Bin Xiong
language : en
Publisher: World Scientific
Release Date : 2025-05-27
Mathematical Olympiad In China 2023 Problems And Solutions written by Bin Xiong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-27 with Mathematics categories.
In China, many excellent mathematics students take an active part in various mathematical contests, and each year, the best six senior high school students are selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years, China's IMO Team has achieved outstanding results — they won the first place almost every year.The authors of this book are esteemed coaches of the China national team, including Xiao Liang, Qu Zhenhua, Xiong Bin, Yu Hongbing, Yao Yijun, Wang Xinmao, Li Ting, Ai Yinghua, Fu Yunhao, Wang Bin, He Yijie, and Zhang Sihui. Contributing to the translation efforts were Chen Haoran and Zhao Wei.The materials of this book come from a book (in Chinese) on Forward to IMO: A Collection of Mathematical Olympiad Problems (2023). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.
Problem Solving In Mathematics
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Author : Marcel Danesi
language : en
Publisher: Peter Lang
Release Date : 2008
Problem Solving In Mathematics written by Marcel Danesi and has been published by Peter Lang this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Education categories.
Problem-solving in mathematics is seen by many students as a struggle. Since the capacity to count and understand basic arithmetical concepts (adding, taking away, etc.) is innate and emerges effortlessly in childhood, why does this negative perception and fear of problem-solving exist? This book counteracts this perception by providing a semiotic analysis of problem-solving and, from this analysis, constructing a pedagogical framework for teaching problem-solving that is consistent with the psychology of how humans learn to use signs and symbols. It is based on an experimental math course designed to impart fluency in problem-solving through semiotic training. The positive results of that course inspired the writing of this book.
Act Premier 2016 2017 With 8 Practice Tests
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Author : Kaplan Test Prep
language : en
Publisher: Simon and Schuster
Release Date : 2016-02-02
Act Premier 2016 2017 With 8 Practice Tests written by Kaplan Test Prep and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-02 with Study Aids categories.
Includes 8 practice tests (5 online and 3 in the book); accompanying DVD includes instruction and tips.
Leningrad Mathematical Olympiads 1961 1991
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Author : Dmitri V Fomin
language : en
Publisher: World Scientific
Release Date : 2025-01-24
Leningrad Mathematical Olympiads 1961 1991 written by Dmitri V Fomin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-24 with Mathematics categories.
This book covers thirty years of the Leningrad Mathematical Olympiad, which was, ostensibly, the very first formally organized, open, official city-level mathematical contest in the world. Founded in 1934 by a group of dedicated Soviet mathematicians, it played an outstanding (and often underappreciated) role in creating the Leningrad (St. Petersburg) school of mathematics of the 20th century.The book begins with the extensive introduction containing two prefaces (one of them written specifically for this edition), a large historical survey of the Leningrad Mathematical Olympiad, a section describing the logistical side of the contest, and a small chapter dedicated to the very first Mathematical Olympiad held in 1934, whose problems were recently found in the Soviet-era library archives.The main text contains approximately 1,100 highly original questions for students of grades 5 through 10 (ages 11-12 through 17-18) offered at the two concluding rounds of the Leningrad City Mathematics Olympiads in the years of 1961-1991. Full solutions, hints and answers are provided for all questions with very rare exceptions.It also includes 120 additional questions, offered at the various mathematical contests held in Leningrad over the same thirty-year period — on average, their difficulty is somewhat higher than that of the regular Mathematical Olympiad problems.
Mathematical Thinking And Problem Solving
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Author : Alan H. Schoenfeld
language : en
Publisher: Routledge
Release Date : 2016-05-06
Mathematical Thinking And Problem Solving written by Alan H. Schoenfeld and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-06 with Education categories.
In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of these groups came from different traditions, had different perspectives, and rarely gathered in the same place to discuss issues of common interest. Part of the problem was that there was no common ground for the discussions -- given the disparate traditions and perspectives. As one way of addressing this problem, the Sloan Foundation funded two conferences in the mid-1980s, bringing together members of the different communities in a ground clearing effort, designed to establish a base for communication. In those conferences, interdisciplinary teams reviewed major topic areas and put together distillations of what was known about them.* A more recent conference -- upon which this volume is based -- offered a forum in which various people involved in education reform would present their work, and members of the broad communities gathered would comment on it. The focus was primarily on college mathematics, informed by developments in K-12 mathematics. The main issues of the conference were mathematical thinking and problem solving.
Math Instruction For Students With Learning Problems
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Author : Susan Perry Gurganus
language : en
Publisher: Taylor & Francis
Release Date : 2017-02-24
Math Instruction For Students With Learning Problems written by Susan Perry Gurganus and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-24 with Education categories.
Math Instruction for Students with Learning Problems, Second Edition provides a research-based approach to mathematics instruction designed to build confidence and competence in pre- and in-service PreK–12 teachers. This core textbook addresses teacher and student attitudes toward mathematics, as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. The material is rich with opportunities for class activities and field extensions, and the second edition has been fully updated to reference both NCTM and CCSSM standards throughout the text and includes an entirely new chapter on measurement and data analysis.