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- Connecting Geometry - Cathleen V. Sanders
A fully credited high school distance learning geometry course offered via the Internet to students throughout the Hawaiian islands as part of a grant-funded pilot project through the Hawaii Department of Education. During this E-School (electronic school)
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- Ferris Wheel - Jim King, University of Washington
Physical devices can be modeled using dynamic geometry. A vital tool for moving objects around in the model are the isometries, or distance-preserving transformations. This model of a Ferris wheel provides a good example. A step-by-step description of
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- Geometer's Sketchpad: Introductory Lab - Mike Riedy
A beginning tutorial, with worksheets, for using GSP. Lab is organized into five parts: Preliminary Setup (formatting a disk, starting and quitting the Geometer's Sketchpad, making mistakes); Toolbox (introduction to the GSP tools: circle, select, point,
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- Geometry in Motion - George Beck; MathSource
Mathematica notebooks. MapPoint is a geometry program that combines the traditional geometric constructions of classical Euclidean geometry with the more dynamic geometric transformations of modern geometry. Many examples are given showing how to create,
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- Graphing and the Computer - James Francis Langan - Yale-New Haven Teachers Institute
This unit consists of two computer programs. The first teaches X,Y plotting; the second is a demonstration of coordinate transformations, matrices, vector equations of lines and perspective and will draw a picture of any geometric solid whose coordinates
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- IMaST: Integrated Mathematics, Science, and Technology - Illinois State Univ.
A two-year middle school program designed to be taught by seventh and eighth grade teachers from each of the three disciplines. This theme-based curriculum promotes experientially based, hands-on, constructivist learning, and was developed in response
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- I-MATH - Cathleen V. Sanders
A professional development course for teachers designed to help them integrate technology and the NCTM Standards into their teaching. Although this course is only available for credit to Hawaii teachers, teachers from other states may participate in the
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- Interactive Origami in VRML - Yoshiaki Araki; Geometry Sender, Keio University, Japan
An interactive origami archive in VRML. Origami is a Japanese traditional recreation using a sheet of paper that can be transformed into various objects. Using VRML, you can learn the transformations interactively step by step.
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- Maff-O-Matics: Math Programs - Greg Scruton
Register free for this collection of Flash-based interactive online math tutorials and mastery programs
(K-10). The program titles include: Angles, Addition & Subtraction, Base
Ten, Circles, Divisibility, Equations, Expanded Notation, Exponents, Foil
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- Mathematical Circles Topics - Tom Davis
Mathematical Circles are for students of high school age or younger who want to increase their abilities to reason about mathematical problems. Students who study in circles learn to do mathematical olympiad-style problems (essay or proofs, not quick
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- Mathematics Experiences Through Image Processing (METIP) - Steve Tanimoto; Dept. of Computer Science & Engineering, Univ. of Washington
A project designed to produce and test materials that promote digital image processing as a means of motivating K-12 students in mathematics and to teach mathematical concepts, encouraging teachers and students to experiment first-hand with digital images
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- The Mathman - Don Cohen
Materials for sale for K-12 students, teachers and parents; pre-calculus. Materials include Get Ready for Calculus (Calculus By and For Young People book, CD-ROM, worksheet book, videotapes and map) and Changing Shapes with Matrices. Patterns, visualization,
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- Megamaths - BBC Online
In the World of Shapes, properties, mirror lines, and transformations become hands-on activities and challenges for teaching the UK's National Curriculum on Shape and Space. In the World of Tables, learn patterns in the multiplication tables by finding
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- Mr. Bunker's Fathom Lessons - Mr. Bunker, Boston Latin School
Instructions, some illustrated, for using Fathom to graph and analyze data sets about the 1970 draft lottery, Major League Baseball batting leaders, Boston Latin School math teachers, and algebraic transformations. Also, see group projects from the class
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- Re-Inventing Fourth-Grade Mathematics - Jack J. Lopez; Kodak
A series of four related activities through which students acquired a firm, active knowledge of some of the basic terminology of Euclidean geometry, learning the vocabulary for describing various geometric shapes and transformations. Students photographed
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- Secondary Math Units - Margaret Sinclair
Units for grades 9-12. For grades 9-10: Data Collecting in the Classroom, Algebraic Problem-solving using Spreadsheets (a unit that emphasizes moving from numerical to symbolic representation), and a newspaper review unit on the Skydome. For grades 11-12:
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- Sketchpad for Little Ones - Geri Anderson-Nielsen; Georgetown Day School
The Geometer's Sketchpad (GSP) is a powerful tool for discovering geometric properties. The program contains a ruler, a protractor, a calculator, and a simple word processor, in addition to graphing possibilities for the Cartesian plane. The activities
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- Symmetry in the Plane - David A. Reid
There are 17 different ways a plane pattern can be symmetrical. Each symmetry involves a combination of transformations of the plane. Descriptions of the symmetry, with examples and links to art works (in the style of M .C. Escher). These resources were
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- Transformations and Tessellations - Lynda Kozicz Leahey
A unit introducing the concepts of transformations and tessellations. Students will explore the attributes of transformations: reflections, translations, rotations and dilations by using pattern blocks, algebraic notation and computer design. They will
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- Transformations - David A. Reid
A transformation is a one-to-one mapping on a set of points. The most common transformations map the points of the plane onto themselves, in a way which keeps all lengths the same. These transformations are called isometries. Another common sort of transformation
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- Transformations with Matrices - Jay Yohe; Susquehanna Township High School, Harrisburg, PA
A lesson plan for teaching geometric transformations using matrix algebra: students use matrices to represent and transform geometric objects on a coordinate axis, exploring rotations using matrices and combined transformations.
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- Visual Structure of Postulates and Axioms in Algebraic Operations
(SMILE) - Sanford Olshan, Roosevelt High School
A lesson designed to reinforce and retain the use of axioms and postulates in various proofs and linear transformations of equations; and to have student build a physical model of the game of "PRUFF" either as a card game or as a board game. From the
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- Whistler Alley Mathematics - Paul Kunkel
Kunkel's Geometer's Sketchpad lessons convey a conceptual understanding, usually without rigorous proof, with questions and suggestions for extensions: Buffon's Needle (an old probability exercise); Chinese Handcuffs (questions with applications for geometry,
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The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.