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Author : Michael Serra,Key Curriculum Press Staff
Publisher : Unknown
Page : 34 pages
File Size : 52,7 Mb
Release : 2003-03-01
Category : Mathematics
ISBN : 1559535881
Author : Michael Hvidsten
Publisher : CRC Press
Page : 439 pages
File Size : 43,8 Mb
Release : 2016-12-08
Category : Mathematics
ISBN : 9781498760980
Exploring Geometry, Second Edition promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements, making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed. Features: Second edition of a successful textbook for the first undergraduate course Every major concept is introduced in its historical context and connects the idea with real life Focuses on experimentation Projects help enhance student learning All major software programs can be used; free software from author
Author : Gerard A. Venema
Publisher : American Mathematical Soc.
Page : 147 pages
File Size : 53,6 Mb
Release : 2013-12-31
Category : Mathematics
ISBN : 9780883857847
This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centers, inscribed, circumscribed, and escribed circles, medial and orthic triangles, the nine-point circle, duality, and the theorems of Ceva and Menelaus, as well as numerous applications of those theorems. The final chapter explores constructions in the Poincare disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course in geometry or as a stand-alone introduction to advanced topics in Euclidean geometry. The text consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. First the ideas are explored at the computer and then those ideas are assembled into a proof of the result under investigation. The goals are for the reader to experience the joy of discovering geometric relationships, to develop a deeper understanding of geometry, and to encourage an appreciation for the beauty of Euclidean geometry.
Author : Michael Serra
Publisher : Unknown
Page : 859 pages
File Size : 40,8 Mb
Release : 2008
Category : Geometry
ISBN : 155953883X
Author : Harold Abelson,Andrea Disessa
Publisher : MIT Press
Page : 502 pages
File Size : 46,8 Mb
Release : 1986-07-09
Category : Computers
ISBN : 0262510375
Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates.
Author : Michael Hvidsten
Publisher : CRC Press
Page : 538 pages
File Size : 53,8 Mb
Release : 2016-12-08
Category : Mathematics
ISBN : 9781498760829
Exploring Geometry, Second Edition promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements, making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed. Features: Second edition of a successful textbook for the first undergraduate course Every major concept is introduced in its historical context and connects the idea with real life Focuses on experimentation Projects help enhance student learning All major software programs can be used; free software from author
Author : Maks A. Akivis,Vladislav V. Goldberg
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 54,6 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9780387215112
This book surveys the differential geometry of varieties with degenerate Gauss maps, using moving frames and exterior differential forms as well as tensor methods. The authors illustrate the structure of varieties with degenerate Gauss maps, determine the singular points and singular varieties, find focal images and construct a classification of the varieties with degenerate Gauss maps.
Author : Michael Serra
Publisher : Kendall/Hunt Publishing Company
Page : 852 pages
File Size : 47,5 Mb
Release : 1997
Category : Fiction
ISBN : 1559532009
Author : Richard Lehrer,Daniel Chazan
Publisher : Routledge
Page : 519 pages
File Size : 53,5 Mb
Release : 2012-11-12
Category : Education
ISBN : 9781136490514
This volume reflects an appreciation of the interactive roles of subject matter, teacher, student, and technologies in designing classrooms that promote understanding of geometry and space. Although these elements of geometry education are mutually constituted, the book is organized to highlight, first, the editors' vision of a general geometry education; second, the development of student thinking in everyday and classroom contexts; and third, the role of technologies. Rather than looking to high school geometry as the locus--and all too often, the apex--of geometric reasoning, the contributors to this volume suggest that reasoning about space can and should be successfully integrated with other forms of mathematics, starting at the elementary level and continuing through high school. Reintegrating spatial reasoning into the mathematical mainstream--indeed, placing it at the core of K-12 mathematics environments that promote learning with understanding--will mean increased attention to problems in modeling, structure, and design and reinvigoration of traditional topics such as measure, dimension, and form. Further, the editors' position is that the teaching of geometry and spatial visualization in school should not be compressed into a characterization of Greek geometry, but should include attention to contributions to the mathematics of space that developed subsequent to those of the Greeks. This volume is essential reading for those involved in mathematics education at all levels, including university faculty, researchers, and graduate students.
Author : Key Curriculum Press
Publisher : Unknown
Page : 349 pages
File Size : 50,7 Mb
Release : 2011-03
Category : Mathematics
ISBN : 1604402229
Author : Georg Glaeser
Publisher : Springer Nature
Page : 694 pages
File Size : 55,7 Mb
Release : 2020-12-18
Category : Mathematics
ISBN : 9783030613983
This book returns geometry to its natural habitats: the arts, nature and technology. Throughout the book, geometry comes alive as a tool to unlock the understanding of our world. Assuming only familiarity with high school mathematics, the book invites the reader to discover geometry through examples from biology, astronomy, architecture, design, photography, drawing, engineering and more. Lavishly illustrated with over 1200 figures, all of the geometric results are carefully derived from scratch, with topics from differential, projective and non-Euclidean geometry, as well as kinematics, introduced as the need arises. The mathematical results contained in the book range from very basic facts to recent results, and mathematical proofs are included although not necessary for comprehension. With its wide range of geometric applications, this self-contained volume demonstrates the ubiquity of geometry in our world, and may serve as a source of inspiration for architects, artists, designers, engineers, and natural scientists. This new edition has been completely revised and updated, with new topics and many new illustrations.
Author : Ed Rietman
Publisher : Unknown
Page : 216 pages
File Size : 42,6 Mb
Release : 1989
Category : Computers
ISBN : STANFORD:36105032461381
The science of chaos attracts the attention of researchers in many disciplines. The idea: by following simple principles of randomness and disorder, patterns emerge. Here, users on their own PC's can construct mathematical models duplicating processes found in nature.
Author : Michael Serra
Publisher : Kendall/Hunt Publishing Company
Page : 262 pages
File Size : 40,6 Mb
Release : 1994
Category : Juvenile Nonfiction
ISBN : 155953074X
Author : Susan Assouline,Susan Goodsell Assouline,Ann Lupkowski-Shoplik
Publisher : PRUFROCK PRESS INC.
Page : 404 pages
File Size : 55,8 Mb
Release : 2003
Category : Gifted children
ISBN : 9781882664924
This is the original edition of the newly released, Developing Math Talent. While supplies last this edition is being sold on the Prufrock Press Web site at the discounted price of $9.95. Written for teachers and parents of gifted children with a talent for math, this book provides a means for identifying the needs of mathematically t
Author : Ernst Binz,Jedrzej Sniatycki
Publisher : Courier Corporation
Page : 474 pages
File Size : 41,6 Mb
Release : 2011-11-30
Category : Mathematics
ISBN : 9780486150444
A canonical quantization approach to classical field theory, this text is suitable for mathematicians interested in theoretical physics as well as to theoretical physicists who use differential geometric methods in their modelling. Introduces differential geometry, the theory of Lie groups, and progresses to discuss the systematic development of a covariant Hamiltonian formulation of field theory. 1988 edition.
