This volume is a collection of articles about dynamic geometry: active, exploratory geometry carried out with interactive computer software. This software has had a profound effect on classroom teaching wherever it has been introduced. Unconstrained parts of the configurations are moveable - they can literally be grabbed with a cursor (using a mouse) and be dragged or stretched - and as they move, all other objects in the configuration automatically self-adjust, preserving all dependent relationships and constraints. The software has also become an indispensable research tool for mathematicians and scientists. This book gives many examples of the ways in which it can be used, and some of the effects it can have. It raises various questions for teaching and research. Some articles address the basic question, 'What is dynamic geometry good for?' as they discuss: accuracy of construction, visualization, exploration and discovery, motivating proof, transformations, tracing loci, simulation, and creating microworlds.
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Fans of Geometer's Sketchpad and Cabri have reason to be happy with the publication of Geometry Turned On, an excellent collection of twenty-six articles on the uses of dynamic geometry software.
On the subject of geometry, Geometry Turned On does not shy away from addressing whether the striking visuals generated by dynamic contructions might cause students to question the need for formal proof. Three articles argue convincingly that the software can, in fact, heighten students' interest in proof and help them search for supporting evidence.
Best of all, many of the sketches described in the book are available to download from the Web. With a basic familiarity with the software and the sketches in hand, you will have many hours of enjoyable learning ahead. -- The Mathematics Teacher
This fine collection of articles contains superb material for anyone thinking of using an interactive computer program. The knowledgeable contributors to this volume discuss how they have used various problems in their own research and to enhance their teaching of geometry. -- The College Mathematics Journal
This is an idea book...Teachers of geometry will find many ideas for their students in this volume. Others will find ideas relating geometry to mathematical analysis, optometry aerodynmaics, and even the history of mathematics. -- Science Books and Films
Book Description
Here is a collection of articles about dynamic geometry: active, exploratory geometry carried out with interactive computer software, which itself has also become a vital research tool for mathematicians and scientists and even designers. This book gives many examples of the uses and effects of dynamic geometry.
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First Sentence:
Although many, perhaps even most, mathematics students and other lovers of mathematics sooner or later come across the famous Euler line, somehow I never did so during my student days, either as a math major at Stanford in the early sixties or as a math graduate student at Berkeley for two years in the mid-sixties (after which I dropped out and switched to physics). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
varignon quadrilateral, dynamic geometry software, dynamic geometry environments, auxiliary triangle, spiral similarity, generalized ellipses, spiral similarities, medial triangle, property checker, side bisectors, airfoil profile, hyperbolic line, dynamic visualization, cyclic quadrilateral, drawing worlds, isosceles trapezoid, tent problem, angle bisector, script tools, perpendicular bisectors, teaching geometry, learning geometry, tangent slope, automatic matching, support circle Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Mathematical Association of America, Key Curriculum Press, Geometry Workshop, Learning of Mathematics, Mathematics Teacher, Cabri Geometry, Geometry Inventor, Van Aubel, Beginning Geometry, Doris Schattschneider, Let Measurement, Napoleon's Theorem, Quadrilaterals Formed, Random House, Springer Verlag, Texas Instruments, Alan Shields, Consider Figure, Exploring Geometry, Garland Theorem, Identifying Transformations, Magic Triangle, Mathematics Magazine, National Science Foundation New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Although many, perhaps even most, mathematics students and other lovers of mathematics sooner or later come across the famous Euler line, somehow I never did so during my student days, either as a math major at Stanford in the early sixties or as a math graduate student at Berkeley for two years in the mid-sixties (after which I dropped out and switched to physics). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
varignon quadrilateral, dynamic geometry software, dynamic geometry environments, auxiliary triangle, spiral similarity, generalized ellipses, spiral similarities, medial triangle, property checker, side bisectors, airfoil profile, hyperbolic line, dynamic visualization, cyclic quadrilateral, drawing worlds, isosceles trapezoid, tent problem, angle bisector, script tools, perpendicular bisectors, teaching geometry, learning geometry, tangent slope, automatic matching, support circle Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Mathematical Association of America, Key Curriculum Press, Geometry Workshop, Learning of Mathematics, Mathematics Teacher, Cabri Geometry, Geometry Inventor, Van Aubel, Beginning Geometry, Doris Schattschneider, Let Measurement, Napoleon's Theorem, Quadrilaterals Formed, Random House, Springer Verlag, Texas Instruments, Alan Shields, Consider Figure, Exploring Geometry, Garland Theorem, Identifying Transformations, Magic Triangle, Mathematics Magazine, National Science Foundation New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 61
books:
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25
books
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- Geometry Revisited (Mathematical Association of America Textbooks) by H. S. M. Coxeter on page 4, and page 120
- Through the Looking Glass (Classics Illustrated) by Lewis Carroll on page 75, and page 78
- The Development of Multiplicative Reasoning in the Learning of Mathematics (S U N Y Series, Reform in Mathematics Education) by Guershon Harel on page 155, and page 156
- Mathematical Circus (Spectrum) by Martin Gardner on page 16, and page 24
- Mathematics: A Cultural Approach by Morris Kline on page 99, and page 104
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- Writing in the Teaching and Learning of Mathematics (Mathematical Association of America Notes) by John Meier in Front Matter
- Innovations in Teaching Statistics by Joan B. Garfield in Front Matter
- Sherlock Holmes in Babylon and Other Tales of Mathematical History (Spectrum) by Marlow Anderson on page 207
- Innovative Approaches to Undergraduate Mathematics Courses Beyond Calculus by Richard J. Maher in Front Matter
- A Practical Guide to Cooperative Learning in Collegiate Mathematics (MAA Notes, Number 37) by Barbara E. Reynolds in Front Matter
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