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16 November 1998 Vol. 3, No. 46 THE MATH FORUM INTERNET NEWS INSTRUCT - Shotsberger | Paper Folding | Illusion Works INSTRUCT - Paul G. Shotsberger Implementing the NCTM School Teaching Recommendations Using Collaborative Telecommunications http://instruct.cms.uncwil.edu/ A site that provides online teacher professional development for planning, instruction, and assessment of mathematics classes. Online meetings, WWW resources for math educators, chat sessions, and a message board are featured. A hypermedia adaptation of the NCTM Standards for Teaching Mathematics introduces the standards by topic, with sample problems and discussions (we include here a few of the linked subtopics, which merit further exploration): Worthwhile mathematical tasks - mathematical content - ways in which students learn mathematics Teacher's role in discourse - students in small groups or one large group - whom to call on when Tools for enhancing discourse - computers, calculators and other technology - manipulatives, models and crafts Student's role in discourse - making conjectures - proposing approaches and solutions to problems Learning environment - student success - using the physical space and materials of the classroom Analysis of teaching and learning - evaluations of problem solving - student portfolios http://instruct.cms.uncwil.edu/standard.html -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- PAPER FOLDING - LWCD Inc. http://www.lwcd.com/paper-folding/ Activities that use paper to explore various aspects of mathematics, designed to make math more visual for users of all ages, with examples and suggestions for teaching applications. Contents include: - historical perspectives of paper folding - six basic rules of paper folding - expanding the six folding rules to produce thirteen basic geometric constructions - investigating triangles and circles - reflections, translations, rotations, and glide reflections - fractions - tessellation art - create your own tangram puzzles - the strategy of miniature golf or "A hole-in-one every time through paper folding" These pages, excerpted from a book published by LWCD Inc., also offer ideas that can be used as the basis for classroom demonstrations or practical work. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- ILLUSION WORKS - A SENSORY ADVENTURE http://www.illusionworks.com/ An educational Web site on illusions, perception, and brain and cognitive science, examining perception through interactive explorations of illusions. For interactive illusion puzzles, original illusion artwork, bibliographies, recommended school projects, educational resources such as books for adults and children, products, games and toys, and related merchandise, start at the advanced level of the Illusion Works site: http://www.illusionworks.com/html/jump_page.html (an introductory level is planned at http://www.illusionworks.com/html/introductory_level.html) Many of the illusion demonstrations are interactive, allowing users to manipulate parameters, and so reveal how the human visual system discerns images, objects, or motions. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum http://mathforum.org/ Ask Dr. Math http://mathforum.org/dr.math/ Problems of the Week http://mathforum.org/pow/ Internet Resources http://mathforum.org/~steve/ Teacher2Teacher http://mathforum.org/t2t/ Discussion Groups http://mathforum.org/discussions/ Join the Math Forum http://mathforum.org/join.forum.html Send comments to the Math Forum Internet Newsletter editors _o \o_ __| \ / |__ o _ o/ \o/ __|- __/ \__/o \o | o/ o/__/ /\ /| | \ \ / \ / \ /o\ / \ / \ / | / \ / \ |

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