Geometry Revisited

Author: H. S. M. Coxeter
Publisher: MAA
ISBN: 0883856190
Release Date: 1967
Genre: Mathematics

A fascinating collection of geometric proofs and properties.

Machine Learning and Knowledge Discovery in Databases Part III

Author: Dimitrios Gunopulos
Publisher: Springer
ISBN: 9783642238086
Release Date: 2011-09-06
Genre: Computers

This three-volume set LNAI 6911, LNAI 6912, and LNAI 6913 constitutes the refereed proceedings of the European conference on Machine Learning and Knowledge Discovery in Databases: ECML PKDD 2011, held in Athens, Greece, in September 2011. The 121 revised full papers presented together with 10 invited talks and 11 demos in the three volumes, were carefully reviewed and selected from about 600 paper submissions. The papers address all areas related to machine learning and knowledge discovery in databases as well as other innovative application domains such as supervised and unsupervised learning with some innovative contributions in fundamental issues; dimensionality reduction, distance and similarity learning, model learning and matrix/tensor analysis; graph mining, graphical models, hidden markov models, kernel methods, active and ensemble learning, semi-supervised and transductive learning, mining sparse representations, model learning, inductive logic programming, and statistical learning. a significant part of the papers covers novel and timely applications of data mining and machine learning in industrial domains.

The Mathematical Olympiad Handbook

Author: A. Gardiner
Publisher: Oxford University Press, USA
ISBN: 0198501056
Release Date: 1997
Genre: Mathematics

Olympiad problems help able school students flex their mathematical muscles. Good Olympiad problems are unpredictable: this makes them worthwhile but it also makes them seem hard and even unapproachable. The Mathematical Olympiad Handbook contains some of the problems and solutions from the British Mathematical Olympiads from 1965 to 1996 in a form designed to help bright students overcome this barrier.

International Perspectives on the Teaching and Learning of Geometry in Secondary Schools

Author: Patricio Herbst
Publisher: Springer
ISBN: 9783319774763
Release Date: 2018-04-27
Genre: Education

This book presents current perspectives on theoretical and empirical issues related to the teaching and learning of geometry at secondary schools. It contains chapters contributing to three main areas. A first set of chapters examines mathematical, epistemological, and curricular perspectives. A second set of chapters presents studies on geometry instruction and teacher knowledge, and a third set of chapters offers studies on geometry thinking and learning. Specific research topics addressed also include teaching practice, learning trajectories, learning difficulties, technological resources, instructional design, assessments, textbook analyses, and teacher education in geometry. Geometry remains an essential and critical topic in school mathematics. As they learn geometry, students develop essential mathematical thinking and visualization skills and learn a language that helps them relate to and interact with the physical world. Geometry has traditionally been included as a subject of study in secondary mathematics curricula, but it has also featured as a resource in out-of-school problem solving, and has been connected to various human activities such as sports, games, and artwork. Furthermore, geometry often plays a role in teacher preparation, undergraduate mathematics, and at the workplace. New technologies, including dynamic geometry software, computer-assisted design software, and geometric positioning systems, have provided more resources for teachers to design environments and tasks in which students can learn and use geometry. In this context, research on the teaching and learning of geometry will continue to be a key element on the research agendas of mathematics educators, as researchers continue to look for ways to enhance student learning and to understand student thinking and teachers’ decision making.

The New York City contest problem book

Author: Mark E. Saul
Publisher: Dale Seymour Pubn
ISBN: CORNELL:31924050842677
Release Date: 1986-06-01
Genre: Education

Reproducible problems from the 1975-1984 New York City Interscholastic Mathematics League addressing Diophantine equations, polynomials, exponents, logarithms, complex numbers, motion problems, Pythagorean Theorem, combinatorics, sines and cosines, and more. Answers, solutions, appendixes, and bibliography.

Teaching secondary mathematics

Author: Alfred S. Posamentier
Publisher: Prentice Hall
ISBN: 0131185209
Release Date: 2006
Genre: Education

Teaching Secondary Mathematics: Techniques and Enrichment Units,7th edition has been thoroughly revised to nbsp;discuss current methods of teaching mathematics, considering all aspects and responsibilities of the job, beginning with a briefnbsp;overview of the history of mathematics education and how it has evolved over time to include standards for teaching and assessment.nbsp; The authors address how to craft rich and effective daily lesson plans, and how to use a variety of instructional tools and strategies to reach all students in a classroom.nbsp; Problem solving is a key focus from its instructional underpinnings to its recreational and motivational aspects.nbsp; The second part of the book provides mathematics teachers with a collection of enrichment units appropriate for the entire secondary school curriculum spectrum.

Axiomatic Geometry

Author: John M. Lee
Publisher: American Mathematical Soc.
ISBN: 9780821884782
Release Date: 2013-04-10
Genre: Mathematics

The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation, and it is the prototype for the axiomatic method that lies at the foundation of modern mathematics. It has been taught to students for more than two millennia as a mode of logical thought. This book tells the story of how the axiomatic method has progressed from Euclid's time to ours, as a way of understanding what mathematics is, how we read and evaluate mathematical arguments, and why mathematics has achieved the level of certainty it has. It is designed primarily for advanced undergraduates who plan to teach secondary school geometry, but it should also provide something of interest to anyone who wishes to understand geometry and the axiomatic method better. It introduces a modern, rigorous, axiomatic treatment of Euclidean and (to a lesser extent) non-Euclidean geometries, offering students ample opportunities to practice reading and writing proofs while at the same time developing most of the concrete geometric relationships that secondary teachers will need to know in the classroom. -- P. [4] of cover.

Teaching Secondary School Mathematics

Author: Alfred S. Posamentier
Publisher: Prentice Hall
ISBN: 0136748058
Release Date: 1999
Genre: Education

This practical book leads the way in secondary mathematics instruction with unique enrichment units, technology updates, and a highly readable style. It provides step-by step techniques on preparing lessons and tests, motivating students, designing assignments, and organizing the classroom. Also included are " hands-on" activities enrichment units, teaching strategies, and pre- and post-tests that are cross-referenced to methods presented earlier in the text. Explores the use of technology, with special emphasis on the application and uses of the Geometer's Sketchpad software program. Also updates the graphics calculator's application in the classroom and includes extensive references to the World Wide Web. Provides a more detailed discussion of problem-solving strategies, in a particularly strong chapter on problem solving, which reflects the mandate that problem solving, be one of the prime concerns for mathematics instruction today.

Visual Complex Analysis

Author: Tristan Needham
Publisher: Oxford University Press
ISBN: 0198534469
Release Date: 1998
Genre: Mathematics

Now available in paperback, this successful radical approach to complex analysis replaces the standard calculational arguments with new geometric ones. With several hundred diagrams, and far fewer prerequisites than usual, this is the first visual intuitive introduction to complex analysis. Although designed for use by undergraduates in mathematics and science, the novelty of the approach will also interest professional mathematicians.