Volume 3, Number 46
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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
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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.
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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.
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