Five Hundred Mathematical Challenges

1995-12-31
Five Hundred Mathematical Challenges

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  • Author: Edward J. Barbeau
  • Publisher: American Mathematical Soc.
  • ISBN: 1614445079
  • Category : Mathematics
  • Languages : en
  • Pages : 227

This book contains 500 problems that range over a wide spectrum of areas of high school mathematics and levels of difficulty. Some are simple mathematical puzzlers while others are serious problems at the Olympiad level. Students of all levels of interest and ability will be entertained and taught by the book. For many problems, more than one solution is supplied so that students can see how different approaches can be taken to a problem and compare the elegance and efficiency of different tools that might be applied. Teachers at both the college and secondary levels will find the book useful, both for encouraging their students and for their own pleasure. Some of the problems can be used to provide a little spice in the regular curriculum by demonstrating the power of very basic techniques. This collection provides a solid base for students who wish to enter competitions at the Olympiad level. They can begin with easy problems and progress to more demanding ones. A special mathematical tool chest summarizes the results and techniques needed by competition-level students.

Challenging Mathematical Tasks

2017-08-29
Challenging Mathematical Tasks

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  • Author: Peter Sullivan
  • Publisher:
  • ISBN: 9780190303808
  • Category : Critical thinking
  • Languages : en
  • Pages : 179

Challenging Mathematical Tasks supports the idea that students learn best when they work on problems that they do not yet know how to solve. Peter Sullivan's research shows that many students do not fear challenges in mathematics, but welcome them. And rather than having teachers instruct them, these students prefer to work out solutions for themselves.Challenging Mathematical Tasks:includes activities that allow for sustained thinking, decision-making and risk-taking by the studentsfeatures a 'Learning Focus', 'Key Mathematical Language', 'Pedagogical Considerations', 'Enabling and Extending Prompts' for each task, plus 'Supplementary Tasks' and 'Possible Solutions'is written by a well-established expert in the field of teaching and learning mathematicsfollows a set structure to help students approach and work through the tasks.For a preview, see the Sample Pages tab.

Mathematical Challenges For All

2023
Mathematical Challenges For All

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  • Author: Roza Leikin
  • Publisher:
  • ISBN: 9783031188695
  • Category :
  • Languages : en
  • Pages : 0

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. .

Advanced Problems in Mathematics

2019-10-16
Advanced Problems in Mathematics

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  • Author: Stephen Siklos
  • Publisher:
  • ISBN: 9781783747764
  • Category : Mathematics
  • Languages : en
  • Pages : 188

This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.

The Great Mathematical Problems

2013-03-07
The Great Mathematical Problems

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  • Author: Ian Stewart
  • Publisher: Profile Books
  • ISBN: 1847653510
  • Category : Mathematics
  • Languages : en
  • Pages : 340

There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincar Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

The Book of Perfectly Perilous Math

2017-03-28
The Book of Perfectly Perilous Math

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  • Author: Sean Connolly
  • Publisher: Workman Publishing Company
  • ISBN: 1523502371
  • Category : Juvenile Nonfiction
  • Languages : en
  • Pages : 240

Math rocks! At least it does in the gifted hands of Sean Connolly, who blends middle school math with fantasy to create an exciting adventure in problem-solving. These word problems are perilous, do-or-die scenarios of blood-sucking vampires (How many months would it take a single vampire to completely take over a town of 500,000 people?), or a rowboat of 5 shipwrecked sailors with a single barrel of freshwater (How much can they drink, and for how long, before they go mad from thirst???). Each problem requires readers to dig deep into the tools they’re learning in school to figure out how to survive. Kids will love solving these problems. Sean Connolly knows how to make tough subjects exciting and he brings that same intuitive understanding of what inspires and challenges kids’ curiosity to the 24 problems in The Book of Perfectly Perilous Math. These problems are as fun to read as they are challenging to solve. They test readers on fractions, algebra, geometry, probability, expressions and equations, and more. Use geometry to fill in for the ship’s navigator and make it safely to the New World. Escape an evil Duke’s executioner by picking the right door—probability will save your neck.

The Ultimate Mathematical Challenge: Over 365 puzzles to test your wits and excite your mind

2018-11-01
The Ultimate Mathematical Challenge: Over 365 puzzles to test your wits and excite your mind

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  • Author: The UK Mathematics Trust
  • Publisher: HarperCollins
  • ISBN: 0008316414
  • Category : Games & Activities
  • Languages : en
  • Pages : 288

’Be warned: cracking puzzles releases a very addictive drug.’ – Marcus du Sautoy Have you ever wanted to be a puzzle pro or logical luminary? Well, look no further!

Mathematical Olympiad Challenges

2000-04-26
Mathematical Olympiad Challenges

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  • Author: Titu Andreescu
  • Publisher: Springer Science & Business Media
  • ISBN: 9780817641900
  • Category : Mathematics
  • Languages : en
  • Pages : 296

A collection of problems put together by coaches of the U.S. International Mathematical Olympiad Team.

Solving Mathematical Problems

2006-07-28
Solving Mathematical Problems

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  • Author: Terence Tao
  • Publisher: OUP Oxford
  • ISBN: 0191568694
  • Category : Mathematics
  • Languages : en
  • Pages : 116

Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.

Mathematical Challenges For All

2023-03-17
Mathematical Challenges For All

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  • Author: Roza Leikin
  • Publisher: Springer Nature
  • ISBN: 3031188683
  • Category : Education
  • Languages : en
  • Pages : 580

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.