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Topic: List of mathematical shapes

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	Mathematics Archives - Professional Societies
		The Edinburgh Mathematical Society was founded in 1883 for "the mutual improvement of its members in the Mathematical Sciences, pure and applied" and is firmly established as the principal mathematical society for the university community in Scotland.
		The mission of the Georgia Council of Teachers of Mathematics is to promote a high quality mathematics education for all students encourage an active interest in mathematics and in mathematics education, promote ongoing professional development for mathematics education, and promote and reward excellence in the teaching of mathematics in the state of Georgia.
		The purposes of ICTM are to encourage an active interest in all areas of mathematics and mathematics education, to afford a medium of interchange of views regarding the teaching of mathematics and related disciplines, and to further the study of problems relating to the teaching of mathematics and computer science.
	archives.math.utk.edu /societies.html (6391 words)

	Nat' Academies Press, Knowing and Learning Mathematics for Teaching: Proceedings of a Workshop (2001)
		For a particular mathematical situation, this list illustrates the range of mathematics and knowledge about the nature of mathematics and mathematical reasoning that a teacher must have to negotiate this kind of classroom conversation.
		Appreciate that mathematics, while abstract, is often used to model problems that are based in real-world situations and that one operation may model a variety of situations.
		Knowing and Learning Mathematics for Teaching answers do not always indicate that students lack such understanding; develop a mathematical value system that allows for different choices to be made about reaction to students' work; knowledge of the school mathematics curriculum is important in developing this value system.
	www.nap.edu /books/0309072522/html/39.html (7245 words)

	Synthesis of Research on Problem Solving
		However, constructivism is consistent with current cognitive theories of problem solving and mathematical views of problem solving involving exploration, pattern finding, and mathematical thinking (36,15,20); thus we urge that teachers and teacher educators become familiar with constructivist views and evaluate these views for restructuring their approaches to teaching, learning, and research dealing with problem solving.
		Thus, it is argued, the beliefs of mathematics students, mathematics teachers, parents, policy makers, and the general public about the roles of problem solving in mathematics become prerequisite or co-requisite to developing problem solving.
		Schoenfeld (31) indicates that capable mathematics students when removed from the context of coursework have difficulty doing what may be considered elementary mathematics for their level of achievement.
	jwilson.coe.uga.edu /emt725/PSsyn/PSsyn.html (7645 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		So many mathematical conferences got held in such good restaurants that many of the finest minds of a generation died of obesity and heart failure and the science of math was put back by years.
		Mathematics is difficult for many human minds to grasp because of its hierarchical structure: one thing builds on another and depends on it.
		Mathematics is indeed dangerous in that it absorbs students to such a degree that it dulls their senses to everything else.
	math.furman.edu /~mwoodard/mqs/data.html (17743 words)

	Investigations: Resources: Math Resources for Families (Site not responding. Last check: 2007-10-21)
		Some of the best mathematical games are those that are accessible to young children but engaging and challenging to older children and even to adults: these are games with "room to grow" mathematically.
		Working on these activities can help build mathematical skills and intuitions; as parents engage in these activities with their children, they may want to share some of the math they are doing.
		Physical mathematical materials, including pattern blocks, interlocking cubes, geoboards, and hundreds boards, can be used for activities such as investigating patterns and geometric relationships, building and exploring three-dimensional structures, solving number and computation problems, and modeling and analyzing data.
	www.lab.brown.edu /investigations/resources/math-resources.htm (1268 words)

	Early Childhood Research & Practice. Spring 2002. Learning to Guide Preschool Children's Mathematical Understanding: A ... (Site not responding. Last check: 2007-10-21)
		First is the ability to recognize children's demonstrated understanding of mathematical concepts, second is the ability to use mathematical language to guide their progress from behavioral to representational understanding of mathematical concepts, and third is the ability to assess systematically children's understanding of mathematical concepts.
		She realized that the most remarkable growth of mathematical knowledge occurs between the pre-kindergarten and grade 2 levels and that it was especially important at this stage to focus on guiding children's development of fundamental mathematical concepts.
		Her research interests are in the areas of teacher professional development through engagement in reflective practice, early learning of mathematical concepts, young children's use of computer technology in gender bias-free classroom environments, and culturally and linguistically diverse children's experiences of loneliness and isolation at school.
	ecrp.uiuc.edu /v4n1/kirova.html (7166 words)

	Axioms and STV (the Single Transferable Vote) (Site not responding. Last check: 2007-10-21)
		In Generalized Monotonicity (of preferential voting), for all given lists, the given list is moved to the left towards the first preference without disordering, and with one of its members shuffles one to the left and its base-2 satisfaction number (measuring satisfaction with the winner set) may not reduce.
		The list of Mr Lanphier will seemingly never improve, It creates a long running experiment where there is an audience of people who accept false/dud claims and lies, especially claims to have known a definition or a dud claim of having reasoned.
		The list barely uses symbols and it seems to never consider the idea of surfaces (i.e fairness is rejected).
	www.ijs.co.nz /ifpp.htm (9767 words)

	Tessellations
		From a summer geometry class, this student illustrates the sequence of instruction for tesselation by using basic geometric shapes such as squares, rectangles, triangles and hexagons, then begins to enhance basic tesselations with colour and graphics.
		The first page is a list of resources mostly available in hard copy.
		Read through their history, learn about the basic underlying mathematics, explore advanced topics, or browse through many examples in real life.
	www.cln.org /themes/tessellations.html (654 words)

	The Geometry Junkyard: Many-dimensional Geometry
		He lists both general upper and lower bounds as functions of a, b, and c, and specific constructions for specific sizes of box.
		Mathematical web site including special sections on the geometry of polyhedrons and geometry of polytopes.
		Doug Zare nicely summarizes the shapes that can arise on intersecting a simplex with a hyperplane: if there are p points on the hyperplane, m on one side, and n on the other side, the shape is (a projective transformation of) a p-iterated cone over the product of m-1 and n-1 dimensional simplices.
	www.ics.uci.edu /~eppstein/junkyard/highdim.html (1261 words)

	Character entity references in HTML 4
		[ISO10646] characters or by other means, such as internally mapping the listed entities, numeric character references, and characters to the appropriate position in some font that contains the requisite glyphs.
		The entities defined here are not intended for the representation of modern Greek text and would not be an efficient representation; rather, they are intended for occasional Greek letters used in technical and mathematical works.
		New names (i.e., not in ISO 8879 list) do not clash with any existing ISO 8879 entity names.
	www.w3.org /TR/html4/sgml/entities.html (889 words)

	NTU Info Centre: List of lists of mathematical topics (Site not responding. Last check: 2007-10-21)
		List of harmonic analysis and representation theory topics
		List of letters used in mathematics and science
		List of terms relating to algorithms and data structures
	www.nowtryus.com /article:List_of_mathematical_topics_(lists) (87 words)

	Defining shapes
		The purpose of this learning experience is to have the students define in their minds what makes shapes unique.
		They should mention that there are four sides that are the same length, four corners, and the corners should be shaped like the corners on a book (right angles).
		Describe two-dimensional shapes using attributes such as number of sides and number of vertices (corners or angles).
	oak.cats.ohiou.edu /~jh859394/curriculum_web/teacher_2.htm (550 words)

	Simulation Tools
		Includes mathematical functionality for algebraic and topological computations and code for creating triangulations of planar areas.
		Not all of the tools listed below are ready for this, but they somehow aim in that direction.
		This new category aims to list software tools for modelling and simulation of environmental systems such as water catchments, reservoirs, ecosystems, etc. Most probably it will evolve in a dedicated home page in the near future.
	www.idsia.ch /~andrea/simtools.html (6941 words)

	Galaxies
		Elliptical galaxies are actually of ellipsoidal shape, and it is now quite safe from observation that they are usually triaxial (cosmic footballs, as Paul Murdin, David Allen, and David Malin put it).
		However, for some ellipticals, small disk components have been discovered, so that they may be representatives of one end of a common scheme of galaxy forms which includes the disk galaxies.
		Often due to distortion by the gravitation of their intergalactic neighbors, these galaxies do not fit well into the scheme of disks and ellipsoids, but exhibit peculiar shapes.
	seds.lpl.arizona.edu /messier/galaxy.html (1771 words)

	Reference List: Mathematical articles on Fiber Arts (Site not responding. Last check: 2007-10-21)
		Mathematics Magazine, vol.53, no. 3, May 1980, p.
		American Mathematical Monthly, 111 (November 2004), no. 9, 741--748.
		A technique for representing cloth shapes and generating 3-dimensional knitting shapes.
	cerebro.xu.edu /~smbelcas/mkreflist.html (603 words)

	Bulletin of the belgian mathematical society - Simon Stevin
		Bulletin of the belgian mathematical society - Simon Stevin
		The use of operators for the construction of normal bases for C(Vq-- K).
		An intrinsic characterization of the shape of paracompacta...
	www.emis.de /journals/BBMS/bbmstocpv.html (2325 words)

	Mathematical Origami: Geometrical Shapes by Paper Folding (David Mitchell) (Site not responding. Last check: 2007-10-21)
		Mathematical Origami: Geometrical Shapes by Paper Folding (David Mitchell)
		Although not as fascinating as his PAPER CRYSTALS (a stellar work of modular origami), MATHEMATICAL ORIGAMI is a very solid work on the topic.
		Includes a list of references for further reading that might be helpful.
	www.interference.com /webstore/us/product/189961818X.htm (224 words)

	The Home of Mathematical Knitting (Site not responding. Last check: 2007-10-21)
		Eleanor Kent hand knits mathematical images of the sort we mathematicians generally have to computer-generate.
		While there is plenty of mathematics involved, it all deals with the physical properties of yarn instead of examining the mathematics of knitting itself.)
		I haven't been able to make an exhaustive list of cool stuff on the web relating to mathematical fiber arts other than knitting, because, well, I don't know much about the other fiber arts, mostly.
	cerebro.cs.xu.edu /~smbelcas/math-knit.html (521 words)

	Question Corner
		This page has been a place for high-school students and others to ask questions about mathematical topics and receive accurate and informative answers.
		Unfortunately, due to limited resources we have been unable to make staff available to continue providing this service, though we hope to be able to provide it again in the future.
		Below is a list of discussion topics that were created when we had staff available to process discussion topics and question submissions.
	www.math.toronto.edu /mathnet/questionCorner/qc.html (304 words)

	The Diamond 16 Puzzle (Site not responding. Last check: 2007-10-21)
		In rearranging the parts of the puzzle, you are creating a "group of permutations." This group, known as AGL(4, 2), is described by the lengthier phrase "the affine group on the linear space of four dimensions over the two-element field." It has 322,560 elements.
		Some indication of the role this group plays in higher mathematics is given in The Geometry of the Mathieu Groups (pdf), by Peter J. Cameron, 1991.
		Mathematics WWW Virtual Library at Florida State U. -- Mathematics Education links
	m759.freeservers.com /puzzle.html (438 words)

	Tutorials-1 (Site not responding. Last check: 2007-10-21)
		Mathematical Skills have outgrown this page and have moved to another page: Click to go there
		molecular shape and theories of covalent bonding (University of Tennessee -Chatanooga)
		molecular shapes and the polarity of molecules (UCDSB)
	www.chemistrycoach.com /tutorials-1.htm (496 words)

	Investigations: Games: Topics List (Site not responding. Last check: 2007-10-21)
		We listed one or two major mathematical topics for each game, but generally the games are rich with many topics and ideas for students to engage in.
		A few of the games have links to more information: ways to modify a game, questions to ask students, management tips, and a larger list of mathematical ideas involved.
		Please send email to us for suggestions for these or other games.
	www.lab.brown.edu /investigations/games/GameList.htm (123 words)

	Table of contents for Library of Congress control number 00052279 (Site not responding. Last check: 2007-10-21)
		Table of contents for Library of Congress control number 00052279
		Table of contents for Stamping through mathematics / Robin J. Wilson.
		Bibliographic record and links to related information available from the Library of Congress catalog.
	www.loc.gov /catdir/toc/fy033/00052279.html (35 words)

	George W. Hart --- Index
		Annotated Bibliography (Lists just about everything ever written about polyhedra.)
		Princeton University, Mathematics Dept., Fine Hall, Princeton, NJ Note: The gallery which represented me in New York, (The Vorpal Gallery) has closed.
		Here is a list of some recent and upcoming events where you can meet me and/or see my sculpture.
	www.georgehart.com (442 words)

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