Favorite Mathematical Constants - Steven Finch
"All numbers are not created equal; that certain constants appear at all and then echo throughout mathematics, in seemingly independent ways, is a source of fascination." Indulge your fascination, or discover a new one. This site provides well over a hundred constants, each with descriptions, proofs, interesting sidelines, and illustrations. Some are illustrated with Mathcad files (viewable with a free read-only version, linked from the site). Many entries rely on a knowledge of advanced mathematics. Browse the topic-based list or look up constants by numerical value. References and other links are cited.
Visual Calculus - Larry Husch; University of Tennessee, Knoxville (UTK)
Alive Maths/Maths à Vivre - Nathalie Sinclair for SchoolNet
Try hands-on mathematics in your home or classroom. In Alive Maths' interactive "microworlds," students investigate patterns and relationships, pose questions, play with the variables, and solve problems. Every microworld leads students through an investigative process via "what if?" questions at the bottom of each page. If registered with the site (for free), students can save their work on a personal web page, add text notes to a page, and see a record of where they've been and how recently. The site also includes teacher support pages, including teaching suggestions, tales from the classroom, and correlations to Canadian curricula. English and French versions are available.
National Library of Virtual Manipulatives for Interactive Mathematics (NLVM) - Cannon et al., Principal Investigators; Utah State University
Bring a host of mathematical concepts to life through interactive, Web-based activities. These Java applets and other virtual manipulatives cover mathematics appropriate to grades K-12, with a special emphasis on K-8. Browse by grade band or by math topic: number and operations, algebra, geometry, measurement, and data analysis and probability. Each activity is linked to the corresponding NCTM Standards it addresses. Planned but not yet implemented as part of this three-year project are activities and investigative questions for students related to each activity, and a teacher information page for each activity featuring lesson plans and tips on implementing the applets in the classroom.
Weights and Measures - National Institute of Standards and Technology (NIST)
A virtual museum exhibit examining the role of the United States government in the development and standardization of weights and measures, in eight sections: America before standard weights and measures; Ferdinand Rudolph Hassler; The Office of Weights and Measures in the Coast and Geodetic Survey, 1836-1901; The Mendenhall Order; The founding of the National Bureau of Standards in 1901; From artifacts to physical constants; The dissemination of standard weights and measures; and A social history of weights and measures. This last section, dealing with the topics of milk, odometers, grocery goods, and gas pumps, was written by students in the Maryland Virtual High School of Science and Mathematics Summer Program, in collaboration with NIST staff members.
Illuminations - National Council of Teachers of Mathematics (NCTM)
Interactive resources for students and teachers based on NCTM's Principles and Standards for School Mathematics. The site is divided by grade band (Pre-K-2, 3-5, 6-8, 9-12, and a cross-band section). Each band contains the following topics: i-Math Investigations--interactive multimedia math investigations designed to inspire and teach; Reflections on Teaching--discussion questions based on video vignettes of teaching and learning; selected Web resources; Internet-based lesson plans--examples of how Web sites can be used to help create effective Standards-based mathematics lessons; and a searchable version of the updated NCTM Standards.
Chameleon Graphing - Ursula Whitcher
A pair of introductory geometry units, intended for elementary to early high school students. In the the Coordinate Plane unit, students learn to graph points on a number line and in the plane with Sam the chameleon. Or graph lines and learn to visualize slope with Joan, Sam's older sister, in Lines and Slope. Each unit includes a glossary, links (to both geometric and chameleon-ic resources), and a note to grownups/adults with suggestions on how to use the material.
Mathematics Enhancement Programme - Centre for Innovation in Mathematics Teaching, Univ. of Exeter, U.K.
A whole curriculum -- lessons, worksheets, overhead projector transparencies, teacher notes, practice problems and exams -- for primary and secondary schools. Use the Mathematics Attainment Test to generate tests online, automatically mark and detect common errors, and graph and analyze the results. This curriculum was adapted from the "continental model" of mathematics teaching, which emphasizes whole-class, interactive teaching. It is available in PDF format online, and for sale in print. The site also includes a study package for the GCSE (major British exams), a statistics unit, remedial program, "help modules" (extra study topics), and various information about the development and implementation of the program as a whole.
Teacher Education Materials Project (TE-MAT) - Horizon Research, Inc. (HRI)
A project for K-12 professional development providers in math and science. It offers:
-- a conceptual framework for designing, implementing, and evaluating
effective professional development.
-- a set of practitioner essays on different aspects of professional development, linked from the framework.
-- a searchable collection of reviews of materials, over 250 reviews and growing, also linked from the framework. Each of the reviews contains a description of the material; discussion of its purpose, audience, content, and quality; ideas for use; and other cautions and comments.
The Horizon Research, Inc. TE-MAT project is funded by the National Science Foundation (NSF). The Eisenhower National Clearinghouse (ENC) assisted with the creation of the Web site, and will maintain the site when the project is complete (scheduled for the spring of 2002).
Archimedes - Chris Rorres, Drexel University
An impressive collection of information on Archimedes' life and achievements, complete with historical quotes, illustrations, and animations. The site includes pages on Archimedes' inventions and accomplishments: Archimedes' Claw, Burning Mirrors, the Golden Crown, the Archimedes Screw, the Stomachion (similar to tangrams), the Cattle Problem, Archimedean Solids, Spheres and Planetaria, and the Law of the Lever. Other materials about and commemorating Archimedes' life and times: a timeline, the Siege of Syracuse, the Royal Family of Syracuse, Archimedes' death and tomb, coins from Syracuse, books on Archimedes, the lunar crater Archimedes, and stamps portraying Archimedes.
SketchMad - Nathalie Sinclair, Queen's University, Ontario, Canada
The Geometer's SketchPad is dynamic geometry software. SketchMad is a resource center devoted to its use in the classroom. Here you can find an introduction to Sketchpad and tips on getting started with Sketchpad. More advanced teaching ideas are available, in pre-made sketches, activities, and lesson plans (aligned to Ontario's curriculum, but widely applicable). Stories from the classroom detail how others have used Sketchpad. And there are links to workshops, conferences, and professional development opportunities, and other Sketchpad Web resources. From the Mathematics, Science, and Technology Education Group (MSTE), Faculty of Education, Queen's University.
Geometry Construction Reference - Paul Kunkel
Lays out the basics of compass and straightedge construction. The main page illustrates thirteen constructions, step by step. The Instruments explains what makes a tool good, and gives tips for making more precise constructions. What is a construction? lists common practices to avoid and discusses the collapsing compass rule. Paul Kunkel has some further geometrical investigations at Mathematics Lessons. Explore more construction examples at Zef Damen's page, Constructions with Ruler and Compass.