Euclidean Geometry in Mathematical Olympiads
Euclidean Geometry in Mathematical Olympiads

Author: Evan Chen

Publisher: American Mathematical Soc.

Published: 2021-08-23

Total Pages: 311

ISBN-13: 1470466201

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This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.

Beautiful Geometry
Beautiful Geometry

Author: Eli Maor

Publisher: Princeton University Press

Published: 2017-04-11

Total Pages: 206

ISBN-13: 0691175888

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An exquisite visual celebration of the 2,500-year history of geometry If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.

Helping Children Learn Mathematics
Helping Children Learn Mathematics

Author: National Research Council

Publisher: National Academies Press

Published: 2002-07-31

Total Pages: 53

ISBN-13: 0309131987

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Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Geometry and Trigonometry for Calculus
Geometry and Trigonometry for Calculus

Author: Peter H. Selby

Publisher:

Published: 1975-05-02

Total Pages: 436

ISBN-13:

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A review of plane geometry, numerical trigonometry, geometric and trigonometric analysis, and limits emphasizes the graphic representation of problems to be solved by combined methods.

Topics in Elementary Geometry
Topics in Elementary Geometry

Author: O. Bottema

Publisher: Springer Science & Business Media

Published: 2008-12-10

Total Pages: 142

ISBN-13: 0387781315

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This small book, translated into English for the first time, has long been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating, and the author provides many thought-provoking ideas.

Geometry
Geometry

Author: Harold R. Jacobs

Publisher: Macmillan

Published: 2003-03-14

Total Pages: 802

ISBN-13: 9780716743613

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Harold Jacobs’s Geometry created a revolution in the approach to teaching this subject, one that gave rise to many ideas now seen in the NCTM Standards. Since its publication nearly one million students have used this legendary text. Suitable for either classroom use or self-paced study, it uses innovative discussions, cartoons, anecdotes, examples, and exercises that unfailingly capture and hold student interest. This edition is the Jacobs for a new generation. It has all the features that have kept the text in class by itself for nearly 3 decades, all in a thoroughly revised, full-color presentation that shows today’s students how fun geometry can be. The text remains proof-based although the presentation is in the less formal paragraph format. The approach focuses on guided discovery to help students develop geometric intuition.

Teaching Mathematics in Grades 6 - 12
Teaching Mathematics in Grades 6 - 12

Author: Randall E. Groth

Publisher: SAGE Publications

Published: 2012-08-10

Total Pages: 513

ISBN-13: 1452256020

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Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a "researcher—constantly experimenting with methods for developing students' mathematical thinking—and connecting this research to practices that enhance students' understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies.

AISTSSE 2018
AISTSSE 2018

Author: Martina Restuati

Publisher: European Alliance for Innovation

Published: 2019-10-04

Total Pages: 1227

ISBN-13: 1631901958

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This book contains the proceedings of the The 5th Annual International Seminar on Trends in Science and Science Education (AISTSSE) and The 2nd International Conference on Innovation in Education, Science and Culture (ICIESC), where held on 18 October 2018 and 25 September 2018 in same city, Medan, North Sumatera. Both of conferences were organized respectively by Faculty of Mathematics and Natural Sciences and Research Institute, Universitas Negeri Medan. The papers from these conferences collected in a proceedings book entitled: Proceedings of 5th AISTSSE. In publishing process, AISTSSE and ICIESC were collaboration conference presents six plenary and invited speakers from Australia, Japan, Thailand, and from Indonesia. Besides speaker, around 162 researchers covering lecturers, teachers, participants and students have attended in this conference. The researchers come from Jakarta, Yogyakarta, Bandung, Palembang, Jambi, Batam, Pekanbaru, Padang, Aceh, Medan and several from Malaysia, and Thailand. The AISTSSE meeting is expected to yield fruitful result from discussion on various issues dealing with challenges we face in this Industrial Revolution (RI) 4.0. The purpose of AISTSSE is to bring together professionals, academics and students who are interested in the advancement of research and practical applications of innovation in education, science and culture. The presentation of such conference covering multi disciplines will contribute a lot of inspiring inputs and new knowledge on current trending about: Mathematical Sciences, Mathematics Education, Physical Sciences, Physics Education, Biological Sciences, Biology Education, Chemical Sciences, Chemistry Education, and Computer Sciences. Thus, this will contribute to the next young generation researches to produce innovative research findings. Hopely that the scientific attitude and skills through research will promote Unimed to be a well-known university which persist to be developed and excelled. Finally, we would like to express greatest thankful to all colleagues in the steering committee for cooperation in administering and arranging the conference. Hopefully these seminar and conference will be continued in the coming years with many more insight articles from inspiring research. We would also like to thank the invited speakers for their invaluable contribution and for sharing their vision in their talks. We hope to meet you again for the next conference of AISTSSE.

Mathematics for Machine Learning
Mathematics for Machine Learning

Author: Marc Peter Deisenroth

Publisher: Cambridge University Press

Published: 2020-04-23

Total Pages: 392

ISBN-13: 1108569323

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The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.

Tutor in a Book's Geometry
Tutor in a Book's Geometry

Author: Jo Greig

Publisher: Tutor in a Book

Published: 2014

Total Pages: 294

ISBN-13: 9780978639037

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Tutor In a Book's Geometry presents a teen tested visual presentation of the course and includes more than 500 well illustrated, carefully worked out proofs and problems, with step by step explanations. Throughout the book, time tested solution and test taking strategies are demonstrated and emphasized. The recurring patterns that make proofs doable are explained and illustrated. Included are dozens of graphic organizers that help students understand, remember and recognize the connection between concepts, as well as comprehensive review sheets. Tutor in a Book's Geometry is designed to replicate the services of a skilled private mathematics tutor and to level the playing field between students who have tutors and those that don't.