Math education bookmarks

(Last Update: 09:51 PST, 10 November 2013 )

Contents


Math factoids

http://members.aol.com/jeff570/mathsym.html
A very nice description of the origins of math notation, grouped into categories (operations, grouping symbols, relations, fractions, constants, variables, functions, geometry, trigonometry, ...).
http://members.aol.com/jeff570/mathword.html
Like mathsym, but for words, not symbols.
http://members.aol.com/jeff570/geometry.html
(not looked at yet, presumably similar to mathsym and mathword)
http://www.adrianbruce.com/Symmetry/
Pictures illustrating simple concepts of symmetry.
http://www.kokogiak.com/megapenny/
A nice visualization of large numbers, using stacks of pennies.
http://www.stanford.edu/dept/news/report/news/february10/mathpath210.html
A press release about a study on why girls perceive themselves as poor at math , even when they are not.

Discussion Groups

k12.ed.math
Several of these bookmarks are from recommendations made on the newsgroup k12.ed.math. I have not yet visted and annotated most of them. Some of these annotations are from the original posters of the web sites, and so may be biased.
http://mathforum.org/discussions/
A list of discussion groups at the Math Forum web site, including
http://mathforum.org/epigone/math-teach/
A discussion group for math teachers. Seems to be dominated by flame wars between different teaching philosophies, with little real educational or math content.
http://mathforum.org/t2t/
Questions from teachers, with discussions and answers by "experts". Includes archives and a FAQ list. Discussions seem fairly interesting and are sorted into threads to make following the discussion easier.
http://mathforum.org/epigone/math-learn
Another discussion group---this one seems to focus more on lesson plans. For example, http://mathforum.org/epigone/math-learn/jolflahflee discusses teaching algebra through programming in Python.

Math courses and web sites for kids (practice, tricks, games, ...)

http://www.studygeek.org
This site seems to have free homework help in the form of videos, text pages, and a few "calculator" apps. It looks fairly well put together, but I've no idea what their business model is, nor how long the site will remain free.
http://www.barcodesinc.com/articles/mobile-math-list.htm
This site has Flash math games for kids. I've not checked the games myself, but was given a pointer to the site by Sheryl Wright's class at the W.B. Goodwin Community Center. (I believe that they are in Springfield, PA, though on 2013Feb 9 their website at www.goodwincc.org only mentions their "new location" without saying what city or state they are in.)
http://www.intmath.com/
This "Interactive Math" site has lessons in mostly high school and early college math. I have not read the lessons, but I used to subscribe to the associated blog: http://www.squarecirclez.com/blog/ The author seems to be a competent mathematician and competent writer, so the lessons may be of use to home schoolers and those who need extra help in learning math at that level.
http://www.entertainmentcenterspot.com/fraction-fun
This site, which lists web sites with various forms of on-line help in learning fractions, was recommended to me by a student named Samantha at the Coastal Academy in California, via her teacher Allison Smith. I've not reviewed it carefully myself, but it looks like a decent list of sites for fractions.
http://www.brainingcamp.com/resources/math/
A resource for somewhat boring middle-school math lessosn. They have a few free ones, then you pay for access to others. They did not look exciting enough for us to pay for any.
http://www.maa.org/news/mathmuse.html
The old columns from Muse about math by Ivars Peterson. Jan 1999 to Oct 2006.
http://homepage.mac.com/boester/
Tim Boester's home page. Tim writes Knossos Games for Imagine, the magazine of the Center for Talented Youth at Johns Hopkins University. Many (all?) of the puzzles from the column are on the web site.
http://www.elementarymathgames.net/
This has a bunch of free math games implemented in Flash. I've not tried any of them, and we're past the stage of using elementary math games, so I've no idea if they are any good.
http://socr.stat.ucla.edu/
The goals of the Statistics Online Computational Resource (SOCR) are to design, validate and freely disseminate knowledge. Our Resource specifically provides portable online aids for probability and statistics education, technology based instruction and statistical computing. SOCR tools and resources include a repository of interactive applets, computational and graphing tools, instructional and course materials.

What are the main SOCR Components?

The core SOCR educational and computational components include: Distributions (interactive graphs and calculators), Experiments (virtual computer-generated analogs of popular games and processes), Analyses (collection of common web-accessible tools for statistical data analysis), Games (interfaces and simulations to real-life processes), Modeler (tools for distribution, polynomial and spectral model-fitting and simulation), Graphs, Plots and Charts (comprehensive web-based tools for exploratory data analysis), Additional Tools (other statistical tools and resources), SOCR Wiki (collaborative Wiki resource), Educational Materials and Hands-on Activities (varieties of SOCR educational materials), SOCR Statistical Consulting and Statistical Computing Libraries.

http://www.mathexpression.com
Free animated videos, mostly of 7th-9th grade math. Quality unknown, as I don't have the patience to watch instructional videos (neither does my son---reading is so much faster).
http://www.heymath.net/
Grades 5-12 (ages 10+) e-learning system using Flash animation. Qaulity and price unknown.
http://www.aleks.com
Subscription on-line math course that is not too expensive, recommended on k12.ed.math by Karl Bundy. More comments on the use of ALEKS with gifted students can be found at http://www.geniusdenied.com/Cybersource/Record.aspx?sid=10539

We tried the 2-day free trial and decided not to bother with ALEKS. Here are the reasons:

In short, Aleks is not a suitable substitute for a tutor and does not make good use of computer-aided instruction. It may be an adequate drillmaster for a child with a high boredom threshold.

I sent my critique of Aleks to their support address (they requested feedback), and I am posting their thoughtful reply here:

Thank you for your message and for your frank comments on ALEKS. I will respond to them by points:

We do very much appreciate your candid criticism of ALEKS. All of your comments will be used by our development staff in our ongoing efforts to provide the best possible tool for students' math learning.
http://www.thinkwell.com/
The thinkwell math courses, taught on CD ROM videos by Prof. Burger have been getting good reviews on the TAGPDQ mailing list. The CD-ROM text runs on Windows, Mac OS 9, and Mac OS X, using the "Thinkwell Player".

They start with high-school algebra and go through Calculus. The CD-ROM textbook costs $76/course. It is not clear how "Beginning Algebra, Intermediate Algebra, College Algebra, and Precalculus" are related---is this a 4-course sequence or overlapping sets of material?

Thinkwell also sells CD-ROM texts for science classes, but I have not read reviews of them yet.

http://www.artofproblemsolving.com/
The Art of Problem Solving site is intended for gifted math students in 6th grade through high school. They sell books and online courses. "Our online school emphasizes problem solving mathematics of the type found in extracurricular programs like MATHCOUNTS for middle schoolers and the American Mathematics Competitions (AMC) for high school students."

The AoPS courses have gotten some good reviews on TAGPDQ, and the text they provide on their web site seems to indicate a good attitude toward math and math teaching.

They have now released an algebra text: "Art of Problem Solving's Introduction to Algebra textbook is now available! This book completes the Art of Problem Solving Introduction series of textbooks, which offers a comprehensive curriculum for outstanding math students in grades 6-9."

http://www.artofproblemsolving.com/Forum/index.php
The have fora for several different topics (their books, various math competitions, ...). Their list of math competitions is pretty good.
http://www.themathcircle.org/
Math challenge courses from ages 5 to 17. Looks interesting.
http://www.hcssim.org/
Hampshire College Summer Studies in Mathematics for mathematically talented high school students. I don't know much about this course. I got an unsolicited e-mail from a student who took it and thought it should be on my list. Since it is in South Amherst, Massachusetts, 3000 miles away, it is not likely that we will ever apply to it.
http://www.miqel.com/pure-math-patterns/visual-math-varieties.html
A nicely organized set of pictures related to math (fractals, golden ratio, ...)
http://www.c3.lanl.gov/mega-math
This sites has descriptions of areas of math (map-coloring, infinity, ...) that are of interest to childen, and the cartoon-like navigation on the web site seems intended for children, but the text seems to be written for teachers.
http://www.aimsedu.org/Puzzle/
Self-described: The goal of the AIMS Puzzle Corner is to provide teachers with a variety of interesting puzzles that can be used to create a learning environment where students engage in doing mathematics just for the fun of it! The monthly puzzles seem to be aimed at approximately 2nd-5th grade, but the grade level does not seem to be a major concern.

The puzzles seem to be a feature from the AIMS Educational Foundation magazine (see http://www.aimsedu.org for more info.

http://www.geocities.com/bricktnetter/bricks_math_puzzles.html
Puzzles by a retired math teacher. I've not checked them for level.
http://www.math-magic.com/
A useful set of tricks for kids to learn to do mental math more easily (many fairly obvious, like x*11 or x*101, but useful for children just learning arithmetic).
http://www.math.grin.edu/~rebelsky/ProblemSolving/Problems/finger-multiplication.html
Multiplying two numbers in the range 5<=x<=9 on your fingers, relying on (10-x)(10-y) = 100 - 10(x+y) +xy = 10(10 - (x+y)) +xy
http://www.sgbox.com/mathsworksheets.html
Interactive web pages to do math exercises (on-line, not worksheets).
http://www.cut-the-knot.com/
Contains interactive activities. The java applets seem to misbehave on one of the machines I tried them on, which could be very frustrating for a child. Matching game seems to be suitable down to about 1st grade, arithmetic games seem to start at about 3rd or 4th grade (much higher, if you expect reasoning rather than random actions). Most games seemed aimed at high school or college students. I like the article on Fawcett's class: http://www.cut-the-knot.com/ctk/NecessaryAndSufficient.html
http://aaamath.com http://www.aaamath.com/fra.html
"All about fractions" A tutorial web site with tiny lessons in text and simple drill games. Looks useful for practice.
http://www.kaidy.com/WitzzleProGame.htm and http://www.kaidy.com/witzzleProSeries.htm
A mental math game that is supposedly good for "family math nights". One reviewer claimed it good for 1st-8th grades, though most teachers seem to be using it around 4th and 5th. There is a demo version on-line at http://www.kaidy.com/WitzzleLiteA.asp
HomePage for Brian Harvey (bh@cs.Berkeley.EDU)
Place to get a free copy of Logo that runs on Unix/Linux/Mac OS X, or Mac OS, or even Windows and DOS.
http://enchantedmind.com/tangram/
A Java applet for playing with tangram pieces.
http://delphiforfun.org/Programs/alphametics.htm
A delphi program for solving "alphametics"---puzzles in which 10 letters stand for the 10 digits in a math problem.
http://www.peda.com/tess/
A nice program for creating tesselations and pictures with symmetries.
http://www.lacim.uqam.ca/pi/
A web site for searching for the name of a real number, given its (approximate) value. (Link seems to be broken)
http://www.research.att.com/~njas/sequences/index.html
The On-Line Encyclopedia of Integer Sequences tries to identify a sequence give the first few numbers of the sequence.
http://www.talicor.com/math.html
MathSmart(TM) is a dominoes-like game for teaching single-digit addition, subtraction, multiplication, and division. It is simple and fun for a while, but the rules are not well thought out and there is not much room for strategy. It can also be quite frustrating to have to wait for domino with a usable answer to appear. This one got put back on the shelf after the first week or two and not played again.
http://www2.edc.org/makingmath/
Making Mathematics, a National Science Foundation-funded project, has the goal "to provide high school students and teachers with the materials and mentorship necessary for engaging in a mathematical research experience."

This program attempts to pair professional mathematicians (with some mentorship training) with either classes or individual students. It looks like a promising way to get students involved in math and provides a way for professional mathematicians to do something (not too onerous) about the dismal state of math education.

http://www.free-ed.net/free-ed/Math/ Interactive pre-algebra class and a couple of online copies of algebra textbooks.

Math for gifted children

http://www.artofproblemsolving.com/Forum/viewtopic.php?p=33140&highlight=#33140 An article about teaching math to gifted children, giving very specific recommendations on texts and programs.
http://www-csli.stanford.edu/epgy
Lots of people have recommended the Stanford Education Program for Gifted Youth, which has math, English, physics, computer science, music, and political science courses. The courses are fairly pricey.
http://cty.jhu.edu/math/courses.html
The Johns Hopkins University Center for Talented Youth also get frequent mention. Also fairly pricey.
http://www.nku.edu/~mathed/gifted.html
URL sent to me by Frances Whitney (GATE coordinator), this site is supposed to be a collection of resources for "mathematics educators, parents, teachers of mathematically promising, talented, gifted and creative students as well as the students themselves." (Contact person: Sheffield@nku.edu)

This seems to be a very thorough list of resources, nicely sorted, but without any annotation to separate the good stuff from the trash.

http://www.hoagiesgifted.org/math.htm
A short list of links which looks pretty well selected.
http://www.geocities.com/Heartland/Woods/6564/ghs/ghsmath.html
A listing of curricula and web sites of math resources for gited children, with mini reviews. Seems like a pretty good list.
http://www.mathematicallycorrect.com/
The motherlode of propaganda against the "new-new math". Their slant is pretty well summed up by the first sentence on their home page: Mathematics achievement in America is far below what we would like it to be. Recent "reform" efforts only aggravate the problem. As a result, our children have less and less exposure to rigorous, content-rich mathematics.
http://www.nychold.com/
Another site rich in criticism of attempts at reforming math education. They seem to be pointing to California as an example of better curriculum design.
http://www.eimacs.com/
They have web-based and classroom programs for gifted middle and secondary school students. Seems to be a for-profit group in Florida. Quality unknown, though several gifted-kids mailing lists have mentioned it as a possible alternative to EPGY.

Standards (state/federal) for math curricula

http://www.nctm.org/standards/
National Council of Teachers of Mathematics standards. Supposedly, most of the state standards are based on the NCTM standards.
http://www.cde.ca.gov/ci/ma/cf/
California Department of Education. Draft Mathematics Framework.

Lesson plans, worksheets, resource lists

http://www.quizzes.cc/
Straightforward arithmetic worksheet generator
http://www.onlineteachingdegree.com/resources/general-mathematics-and-teaching-resources
This is a resource list for new math teachers, including pointer to information about certification, academic math journals, math teaching strategies, and some other teacher-oriented sites. There is not much here for kids, but it looks like it may be useful for new math teachers.
http://www.startlocal.com.au/articles/educational_graphs.html
I've not examined this site carefully, but it has a number of graphing resources and was recommend by a homeschooling parent.
http://www.startlocal.in/articles/educational_articles_great_math_links_for_kids.html
I've not examined this list of sites, but it was recommended by Claire Watkins, a second-grade teacher.
http://www.superkids.com/aweb/tools/math/
A good, free worksheet creator for addition, subtraction, multiplication, division, greater than/less than, and rounding.
http://www.thatquiz.com
Has quizzes and worksheets plus grading and record-keeping. Doesn't seem to work with Safari, and relies heavily on Microsoft-specific javascript, so probably a pretty fragile and useless site.
http://mathforum.org/
A resource site for math (K-12, college, and advanced). Contains problems of the week, teacher-to-teacher discussions, information for parents, ... . Site has excellent navigational aids, but has so much on it that things can still be hard to find.
The Math Forum: Teachers' Place
A table-of-contents page with links for teachers to other mathforum pages. A good place to start.
The Math Forum - Ask Dr. Math
Math topics archived by grade level with searchable index. Students can submit their own questions to Dr. Math.
http://mathforum.org/library/levels/
Web sites for all levels of math, sorted by grade (preK through senior in college). (There are other ways of accessing this library of sites.) A very rich list of sites, with commentary to help choose which are worth visiting.
http://mathforum.org/mam/
Math Awareness Month.
http://mathforum.org/varnelle/
Varnelle Moore's Primary Math Activities: intro to geometry and intro to measurement for primary studets. Although listed as K-2, the activities seem more at the K end than the 2 end.
http://mathforum.org/mathed/math.software.reviews.html Pointers to several sites with reviews of math software.
Math Forum: Problems of the Week Book
Order form for a $20 "problem of the week" book. Claims answers are on the Web, but does not mention web access to problems. The problem-of-the-week service will probably change, now that mathforum has gone non-commercial.
http://www.scienceoxygen.com/mathnote/index.html
Study notes for reviewing algebra, geometry, trigonometry, and beginning calculus.
askEric.org
Access to Educational Resources Information Center (ERIC), a federally-funded national information system that provides, through its 16 subject-specific clearinghouses, associated adjunct clearinghouses, and support components, a variety of services and products on a broad range of education-related issues.
http://askEric.org/cgi-bin/res.cgi/Subjects/Mathematics
List of web sites for math, including several useful sites.
http://www.luc.edu/schools/education/csipdc/mathact.htm
A list of resources for math teachers from the Chicagor Systemic Initiative at Loyola University.
http://www.math.psu.edu/MathLists/Contents.html
Math sites around the world, courtesy of Penn State
http://personalpages.tds.net/~school_pages3/math_educ.htm
A collection of math sites with some annotation. Some interesting sites on the list.
http://emints.more.net/ethemes/resources/S00000474.html
A list of several sites that provide word problems---a good place to start looking for story problems.
http://www.mathgoodies.com/lessons/
54 lessons designed for grades 5 through 8. http://www.mathgoodies.com/puzzles/ has word puzzles (such as crosswords) related to the lessons. These are NOT math puzzle questions.
http://www.kaidy.com/FreeLessonPlans.htm
Lesson plans for the Kaidy Educational Resources products. Seem to be mainly manipulatives, but includes the Witzzle Pro math game.
http://math.rice.edu/~lanius/Lessons/
Some interesting math lessons here, but not much information about what prior knowledge is expected for each, and they seem to be at very different levels.
people.atl.mediaone.net/traylork/mathwebsites.html
An ok listing of math web sites. Unfortunately, there is little commentary on each, so it is hard to figure out the level for different sites. Only 9 pointers to "activities" sites, and some of them are a bit feeble.
cleverteacher.com
Mentioned by Sandy at the Granary. Seems to have lesson plans, worksheets, and some other stuff. The student entry costs $40/year, which limits the usefulness of the site. There may be enough free stuff to visit occassionally.
http://www.ricksmath.com/
A collection of worksheets at all levels from kindergarten to 12th grade. Also has some tutorials (no pictures, just text).
http://www.teachervision.com/lesson-plans/lesson-7269.html
A collection of rather lame lesson plans, with almost no math content---supposedly aimed at middle and secondary school students.

http://www.teachervision.com/lesson-plans/lesson-8014.html has an entry point to several quizzes. There are free sample quizzes, and a subscription service for access to other quizzes. The level seems rather low (1-digit addition for 2nd grade, multiple-choice 2-digit addition). (There are also several quizzes for other subjects, not just math.)

I have not yet looked at the collections below---the first set was too depressing.

http://www.teachervision.com/lesson-plans/lesson-6203.html
http://www.teachervision.com/lesson-plans/lesson-6222.html
http://www.teachervision.com/lesson-plans/lesson-6392.html

Book reviews and lists of books

Singapore Math
We've been using the Singapore "Primary Mathematics" series as our main introduction to arithmetic. At least through the third grade, it seems well written. We've used the original Singapore edition, not the US edition---it gives us a chance to talk about differences in dialects of English and we like the variety of names. Also, some common objects in Singapore, like durians, are almost impossible to find in California, which gives the workbooks an exotic flavor.

Abe finished the Primary Mathematics 2B workbooks on 24 Oct 2003 (age 7;7). He took a break from them and then finished the 3B workbooks in March 2005 (age 9). He finished through 4B shortly afterward in June 2005 (age 9;2) We bought, but have not used the Primary Mathematics 5 books, as they seem a bit repetitive. Instead we bought the Challenging Math Problems supplements for 4,5,6, which his teacher has been using in school with him.

http://www.singaporemath.com
This is the site from which I have purchased the Singapore Math Primary Mathematics series. It is also available through http://www.SGBox.com/ , but I've never ordered from them.
Free Digital Textbook Initiative
Free digital texts (mainly in science and math), with notes about how well they allign to the california content standards. Of particular interest is Keisler's Elementary Calculus: An Infinitesimal Approach.
http://freebookcentre.net/SpecialCat/Free-Mathematics-Books-Download.html
A listing of "free e-books and guides on Mathematics". I've not tried accessing any of these books, but most seem to be older college-level texts.
http://www.sonlight.com/math/
A thoughtful review of Singapore Math, Miquon Math, and Saxon Math series. They end up recommending using Singapore Math, with Miquon Math as a supplement.
Miquon Math
Miquon math is often recommended as an discovery-based math curriculum for grades 1-3. The method seems to be heavily based on using "Cuisenaire Rods". There is a chart showing how the Miquon and Singapore Math curricula correspond at http://www.singmath.com/SM_Miquon.htm

Several places sell Miquon (note the Cuisenaire rods are available in plastic and wood and vary in price):

http://www.keypress.com/catalog/products/supplementals/Prod_Miquon.html
http://www.upsidedownschoolroom.com/miquon.shtml
http://www.educationconnection.com/math&manipulatives.html
http://www.fun-books.com/mathematics.htm
Opinions about the Saxon math texts, which are often loved by elementary school teachers and hated by high school teachers (from the mathform site)
http://mathforum.org/epigone/k12.ed.math/quimpzandten
http://mathforum.org/epigone/k12.ed.math/whexbonwin
http://mathforum.org/epigone/k12.ed.math/vesiwerd
http://mathforum.org/epigone/k12.ed.math/clewegy
http://mathforum.org/epigone/k12.ed.math/khehtushang
http://mathforum.org/epigone/k12.ed.math/rolzendvou
http://mathforum.org/epigone/k12.ed.math/zilgrimyon/
http://mathforum.org/epigone/k12.ed.math/smexswoxjan
http://mathforum.org/epigone/ap_calc/wholshorsou
http://mathforum.org/epigone/ap_calc/swaygougli
http://mathforum.org/epigone/ap_calc/khumthaglu/LYRIS-5913831-205916-2001.02
http://mathforum.org/epigone/ap_calc/wimpbrodan
http://www.math.gatech.edu/~cain/textbooks/onlinebooks.html
A list of textbooks (mainly college level) that are available free on-line.
http://math.cofc.edu/faculty/kasman/MATHFICT/search.php?orderby=title&go=yes&genre=chi
A list of about 30 fiction books and videos for children with math themes, together with brief reviews. This is a subset of Kasman's more complete math-fiction list at http://math.cofc.edu/faculty/kasman/MATHFICT/
http://www.pburch.net/books/mathbooks.html
One parent's recommendation for story books about math, loosely grouped by age. Several of the titles are well selected. Citation information is a bit minimal (Amazon links, but no author's names).
http://www.mathman.biz/
Home page for Don Cohen author of Calculus By and For Young People (ages 7, yes 7 and up)
http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=0521597870
Geometry, by David A. Brannan, Matthew F. Esplen, Jeremy J. Gray was recommended by Bill Dubuque as a 'stiumlating' book for gifted students studying geometry.
http://math.cofc.edu/faculty/kasman/MATHFICT/mf-cat-Child.html
A list of many books, with very brief reviews. Difficult to judge reading or math level.
http://www.naturalmath.com/mathbooks.html
A listing of math and science books, sorted by author, with links to reviews. Books chosen seem to be for a variety of levels of ability, without much indication which books are for which levels. There are some interesting titles, like Calculus by and for Young People (Ages 7, Yes 7 and Up). They have classics (like Martin Gardner's books and Abbot's Flatland) mixed in with books for much younger audiences. This listing would be much more useful if some age or grade ranges were given on the main page.
"mattsmom" recommended
Paul A. Tanner III recommended
http://math.berkeley.edu/~wu
Prof. Hung-Hsi Wu's web site has a number of pointers to articles he or she has written on math education, including book reviews.
http://sunsite.ubc.ca/DigitalMathArchive/Euclid/byrne.html
(1847 color edition of Euclid with heavy emphasis on pictures)
http://www.pearsonlearning.com/plearn/html/cat_progseries.cfm?grade=-1,12&sub_id=S25&prog_id=80702002
poster and book "When are we ever gonna have to use this?"

Tests and diagnostic tools

Placement tests for Singapore Math
very short tests to get a rough idea where to start in the Singapore series. Too short for any real diagnostic use.
http://timss.bc.edu/
Third International Study of Math and Science---this is the study that showed Singapore way ahead in elementary math education, and made the Singapore Math series of texts start to be popular in the US.
http://www.rbs.org/ec.nsf/pages/TIMSS-R
Third International Mathematics and Science Study --- Repeat Benchmarking. This is a big study of elementary school outcomes (8th grade) in 37 countries and several US school districts for math and science. It shows US schools are doing rather poorly overall, but that some school districts are doing much better. Lots of people have commented on the study, pushing their own theories about how we can do better.
http://www.edexcel.org.uk/qualifications/QualificationAward.aspx?id=44696
An advanced high school test for admission to Oxbridge.
http://www.geocities.com/gzhzhx/test.html
Translation of a Chineese test for college admission.
http://education.jlab.org/solquiz/index.html
example tests from Virginia's state-wide tests in math and science:
http://www.math.umt.edu/tmme/vol3no1/TMMEv3n1a3.pdf
Not really a test, but a discussion of various ways to detect precocious math talent in young children (kindergarten age).

Math competitions

http://www.mathcounts.org
MATHCOUNTS is a coaching and competition program for middle school students nationwide. They have a "problem of the week"---the problems seem quite challenging for middle-school students. The "state championship" problems take a little thought even for mathematicians, though they don't require any sophisticated math. They also have a math-challenge game on-line.

The Art of Problem Solving site considers MATHCOUNTS the premier math contest for middle-school students.

http://www.unl.edu/amc/
The American Mathematics Competitions (sponsored by the Mathematical Association of America). http://www.unl.edu/amc/e-exams/e4-amc08/amc8.shtml http://www.unl.edu/amc/e-exams/e5-amc10/amc10.shtml http://www.unl.edu/amc/e-exams/e6-amc12/amc12.shtml

Stanford's EPGY program now has prep courses for these competitions: http://epgy.stanford.edu/courses/math/MC10/ http://epgy.stanford.edu/courses/math/MC12/

AMC8 is the only national competition that Abe has participated in so far.

http://www.usamts.org/
The USA Mathematical Talent Search (USAMTS) is a free mathematics competition open to all United States middle and high school students, run by the Art of Problem Solving.
http://www.moems.org
Math Olympiads for grades 4-6 (division E) and 7-8 (division M).
http://www.mathleague.com/contests.htm
A list of math competitions run by the Math League for grades 4-12. (The 4th and 5th are intraschool competitions, the rest are interschool.)
http://www.gcschool.org/pages/program/Abacus.html
Challenging math problems for 3rd/4th, 5th/6th, and 7th/8th graders. Annual competition with new problems each month (Sept-March).
http://www.continentalmathematicsleague.com/
Contests for grade levels 2 through calculus---not clear what level the contest questions are at for each grade level.
http://mathability.com
Contest in arithmetic speed. Prep tests available at http://www.mathability.com/mathability/moc1.htm
http://mathforum.org/mathmagic/index.html
MathMagic is a competition for teams who communicate over the net. The k-3 challenges seem to be heavy on the manipulatives and light on math theory, but they do have more than 20 of the challenges posted. They want money from registered teams, but anyone can read the challenges and participate in discussions.
http://www.TheMathProject.com
A math contest designed and run by a seventh-grade math classroom.
http://math.scu.edu/putnam/
William Lowell Putnam Competition
http://www.mandelbrot.org/
The Mandelbrot Competition
http://www.gcschool.org/abacus.html
the ABACUS International Math Challenge
http://www.amatyc.org/SML/SML.html
AMATYC Student Math League
http://www.virtu-software.com/mathmadness/
Online Math Madness: a zany, challenging math competition
http://www.arml.com/
American Regions Math League Competition
http://www.unl.edu/amc/e-exams/e8-usamo/usamo.html
United States of America Mathematical Olympiad
http://www.unl.edu/amc/e-exams/e9-imo/imo.html
International Mathematical Olympiad
http://imo.wolfram.com
42nd International Mathematical Olympiad

Math History

http://www.startlocal.com.au/articles/educational_math_history.html
Guide to the History of Mathematics
http://www-groups.dcs.st-and.ac.uk/~history/index.html MacTutor History of Mathematics Archive
Biographical index of thousands of mathematicians--searchable alphabetically and chronologically.
http://aleph0.clarku.edu/~djoyce/mathhist/mathhist.html
http://archives.math.utk.edu/topics/history.html
http://www.ibiblio.org/expo/vatican.exhibit/exhibit/d-mathematics/Greek_math.html
Greek mathematicians
http://www.agnesscott.edu/lriddle/women/women.htm
Biographies of Women Mathematicians
http://www.women.cs.cmu.edu/ada/Resources/Women/
Pioneering Women in Computing Technology
http://www.math.buffalo.edu/mad/index.html
Mathematicians of the African Diaspora
Web pages supposedly about when negative numbers were invented:
http://jeff560.tripod.com/operation.html
http://jeff560.tripod.come/n.html
http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Zero.html
http://www.clarku.edu/~djoyce/complex/
http://www.mathpages.com/home/kmath298.htm
http://mathforum.org/library/drmath/view/52564.html
http://mathforum.org/library/drmath/view/52553.html
http://mathforum.org/library/drmath/view/52593.html
http://math.truman.edu/~thammond/history/NegativeNumbers.html
http://www.math.ucla.edu/~hida/106.1.02f/Hist1.html

Music and films for math

http://countdown.luc.edu/
Loyola University of Chicago: Countdown, using quicktime movies. Video clips have been edited down from hour-long shows. They seem to be aimed at teachers and are rather tedious with titles like "three ways to teach opposites".
http://agutie.homestead.com
A multi-media approach that "provides an eclectic mix of sound, science, and Incan history intended to interest students in Euclidean geometry." I haven't examined it closely---the "movie" approach is a hard to scan through quickly.
Math music
MP3 station devoted to music made from mathematical and various scientific ideas. I haven't listened to any of it, but I suspect the music of having more intellectual interest than listening pleasure.

Unsorted sites

I have not yet looked at most of the sites below this line. Comments in this section are mostly from the people who informed me about the site (usually in k12.ed.math).
http://www.incompetech.com/beta/linedGraphPaper/easy.html
Web site to generate PDF files to make your own graph paper. Has only a rather basic grid format (no heavier lines, no non-linear scales).
http://www.mathematicshelpcentral.com/graph_paper.htm
Has PDF for several different graph paper styles, in color or B&W. Includes polar, log, and semilog paper, but no parameterization.

Another site suggested was http://www.graphtablet.com/ but it requires Windows, and sois useless to me.

http://www.vvi.com/products/vvidget
A Max OS X (>=10.4) widget for creating graph paper. Not tested, since I'm using 10.3). The have some premade graph paper at http://www.vvi.com/graphpaper
http://www.4dsolutions.net/ocn/pygeom.html
Python + Geometry (materials for a high-school class on Python and geometry)
http://home.socal.rr.com/exworthy/math.htm
Astro-logix - the mind expanding geometric construction toy.
http://cascoly.com/games/tpuz/tpuzmain.htm
http://dmoz.org/Science/Math/Education/
http://earth360.com/math-speakeasymath1.html
http://eho.org/Bookstore/mbookst.htm
http://eho.org/Bookstore/moremath.htm
http://eho.org/mathdept.htm
http://homeworkspot.com/high/math/
iit.edu
http://jennings.onslowonline.net/pracmath.htm
lessonplanspage.com
school.discovery.com/homeworkhelp/webmath/algebra.html
successlink.org and
http://teachertimesavers.com
theteacherscorner.net/math
www.carnegielearning.com (for Cognitive Tutor Algebra, Geom. and Algebra II)
Has gotten good reviews from several teachers and tutors on the k12.ed.math newsgroup.
www.edhelper.com
http://www.etauniverse.com/eta/dept.asp?dept_id=MATH
http://www.georgehart.com/index.html
www.glencoe.com/sec/math/studytools
http://www.justriddlesandmore.com/math.html
http://www.keypress.com/catalog/products/index.html
www.learnnc.org
www.lessonplanz.com
http://www.markwahl.com/
www.mathsclub.org
http://www.mathsresource.co.uk
http://www.mathworkshop.com/
http://www.mommyschool.com/subject.asp?s=MA
http://www.nctm.org/
http://www.picciotto.org/math-ed/index.html
http://www.quantumbrainbenders.com/
http://www.rbs.org/Eisenhower
www.school.discovery.com
http://www.sitesforteachers.com/
http://www.softseven.com (MathRace)
http://www.education-india.net/quickguides/
http://www.themestream.com/gspd_browse/browse/view_article.gsp?c_id=254051
http://www.tufts.edu/as/wright_center/mathprimer/index.html
www.wcom.com/marcopolo (search for math lesson)
http://www.zometool.com/edu/index.html
youth.net/cec/cecmath
http://www.shodor.org/interactivate/activities/angles/index.html
An angle program
http://www.geocities.com/mathstamps/
Images of mathematicians on postage stamps
http://www.shells.demon.co.uk/MathArt.html
Mathematics Articles (topics in pre-calculus mathematics for students and instructors)
http://www.themestream.com/gspd_browse/browse/view_article.gsp?c_id=376121
A Geometrical Approach to Completing the Square
http://www.themestream.com/gspd_browse/browse/view_article.gsp?c_id=177257
quadratic equations
http://www.jsoftware.com/pubs/mftl/mftl.htm
http://earth.br.psu.edu/ist230sec001/w2c5_insurinv.html
http://www.jboden.demon.co.uk/SetTheory/equivalence.html
http://thesaurus.maths.org/dictionary/map/word/surjective/344
http://thesaurus.maths.org/dictionary/map/word/Injective/909
http://www.inetarena.com/~pdx4d/ocn/crypto0.html
http://www.inetarena.com/~pdx4d/ocn/numeracy0.html
http://www.inetarena.com/~pdx4d/ocn/trends2000.html
http://mitpress.mit.edu/sicp/
Structure and Interpretation of Computer Programs Harold Abelson and Gerald Jay Sussman with Julie Sussman, The MIT Press, 2/e (c) 1996
http://www.inetarena.com/~pdx4d/ocn/overview.html
An argument, with examples, for inclusion of visualization in high-school math education, with specail emphasis on sphere packing and "unusual" polyhedra. Has pointers to reading lessons and geometry labs at the bottom.
http://www.inetarena.com/~pdx4d/ocn/cp4e.html
Teaching resources for teaching with computer languages, organized by language. (Mainly python, but also some java, xbase, and scheme.)
Math Forum: Public Discussions
http://www.mathforum.org/drmath/
http://www.geom.umn.edu/
http://www.math.rice.edu/~lanius/geom/
http://www.askeric.com
http://www.nctm.org
http://www.lessons.com
http://www.worksheetfactory.com
http://mathworld.wolfram.com/
http://www.teachertests.com
http://www.peda.com/poly
Shareware for making models of polyhedra.
http://linweb1.ke7.org.uk/mkwork/index.php
beta release worksheet generator
http://www.inetarena.com/~pdx4d/ocn/numeracy0.html
Numeracy + Computer Literacy
http://www.inetarena.com/~pdx4d/ocn/crypto0.html
Crypto, Group Theory with Python
http://illuminations.nctm.org
Supposedly has free math software. Math applets to teach NCTM standards.
http://www.camosun.bc.ca/~jbritton/Home.htm)
Jill Britton's books and websites
http://www.unl.edu/amc/)
American High School Math Exam
http://www.olemiss.edu/mathed/problem.htm)
Ole Miss Problem of the Week
http://www.mathleague.com/)
Math League
Math Fact Cafe
http://www.habarbadi.com/tracmath/
free Trachtenberg multiplication tutorial
Polymorf construction set toy
Teachers.Net - MATH TEACHERS CHATBOARD.
Making Mathematics: Mentored Research Projects for Young Mathematicians
http://www.valgetal.com
Shareware games: matego and valgetal
http://college.hmco.com/mathematics/students/
Larson/Hostetler/Edwards texts get good recommendations for precalculus and calculus instruction.
http://www.k12learn.net
Various flash games and software demos, sorted by grade level. (Not checked yet.) Obnoxious ads.
http://www.funbrain.com/
Supposedly has "a lot of games for 3rd and 4th grade and up."
http://learningteam.org/ A not-for-profit organization devoted to improvement of teaching of math and science.
http://www.maths-world.com
http://edStandards.org/Standards.html
http://www.aft.org/publications/american_educator/fall99/amed1.pdf
http://gcpm.rutgers.edu/
http://www.keypress.com/sketchpad/
http://members.aol.com/mathleague/
http://www.polymorf.net/knowhere1.htm
A number of examples of 3-D geometric and crystallographic concpets using "polymorf" construction toy. Looks like fun.
http://www.nrich.maths.org.uk/
A response to someone's query about resources for fifth grade was to click on "Maths Finder" at this site.
http://nrich.maths.org/mathsf/journalf/rb_proofsorters.html
http://www.pearsonlearning.com/dalesey/dalesey_default.cfm
This site supposedly has a pointer to a book When are we ever gonna have to use this? which talks about the uses of the math skills taught in school.
http://math.berkeley.edu/~wu/
This site is recommended for math teachers "particularly his articles on whole numbers and fractions." It is also recommended for parents trying to teach their children better.
http://www.freemathhelp.com
site creator sent a message to k12.ed.math asking what people wanted to see on this site.
http://www.inetarena.com/~pdx4d/ocn/cp4e.html
http://www.inetarena.com/~pdx4d/ocn/numeracy0.html
Teaching mathematics based on using Python. The examples seem to be aimed at about 9th grade level.
http://www.ibiblio.org/obp/thinkCSpy/
Book "How to think like a computer scientist"
http://sosmath.com
Help in math at several levels, includes board where questions can be posted.
http://www.center.edu/
Website for "Math Their Way" curriculum, which seems to be a "let them explore" approach to teaching young children about numbers.
http://www.inew.com/
A $20/year math drill site.
http://www.intermep.org
Not my review: copied from k12.ed.math: It has a whole curriculum K-grade 10 or so. It is a British site so you have to adjust the grades accordingly--Their "1' is US K. For each grade they have both teacher, student, and testing materials as well as activities, overheads etc. Also, it is divided by "subject"quite systematically so if you want to just deal with fractions--you can copy fraction materials from several grade levels--without needing to pore through the other material
http://www.mathguide.com/lessons/
http://www.aplusmath.com/games/index.html
http://archives.math.utk.edu/topics
http://www.eduplace.com
Web site for Houghton Mifflin text books.
http://www.eduplace.com/math/brain/index.html
http://mzone.mweb.co.za/residents/profmd/homepage4.html
activities for using Sketchpad for teaching, and comments about the importance of proofs. Includes some "sketches" that are also available from http://mzone.mweb.co.za/residents/profmd/rethink2.zip. A demo version of Sketchpad is available from http://www.keypress.com/sketchpad/sketchdemo.html.
http://www.mit.edu/~ibaran/kseg.html
KSEG is a free geometry sketching program that runs under Linux, Windows, and Mac OS X. (You have to compile it yourself for your platform, and need to pick up the Qt tools.) I have not tried it yet, but it sounds nice in the author's description of it.
http://www.artofproblemsolving.com/
A site for the two-volume "Art of Problem Solving" books, aimed at high-school students. The provide a lot of relatively hard problems.
http://www.bymath.com/ An on-line math education site, claiming to be high-school level. I've not checked the math part, but it has a number of rather lame math jokes in somewhat broken English.
http://www.stfx.ca/special/mathproblems/welcome.html
Not looked at yet.
http://problems.math.umr.edu/
Not looked at yet.
http://www.software3d.com/Stella.html
commercial software for designing polygons and printing patterns to fold them out of paper. Unfortuantely, it is a Windoze program.
http://www.peda.com/poly
The POLY program does run on Macintoshes. I tried out a demo version on my laptop and it seems to have a nice large collection of solids, but does not provide any tools for creating new solids (unlike Stella). It also has an annual license fee, which is a rather archaic form for selling software. (The modern approach is to sell a version, and charge for upgrading to new versions.)
http://archive.ncsa.uiuc.edu/edu/RSE/RSEyellow/gnb.html
Middle school stock market competition.
http://archive.ncsa.uiuc.edu/Edu/RSE/RSEorange/buttons.html
Pi mathematics: explorint the concept of pi. self-described: This multidisciplinary project which includes math, history, English and thinking skills is designed for fifth through eighth graders. It will allow students to discover the approximate value of pi, an irrational number, using measurement and reporting the data, applying formulas, problem solving and participating in a collaborative project utilizing Internet resources. Students will also explore the history of pi, using Internet references.
http://www.invention.smithsonian.org/downloads/fa_cohc_trnscrpt_rhodes.pdf
Oral history about Gertrude Blanch who organized human computers during the Depression---interview with Ida Rhodes who assisted.
http://www.matf.bg.ac.yu/~janicic/gclc/
Blurb provided by author, not checked by me: GCLC/WinGCLC is a tool for producing digital mathematical illustrations, for teaching geometry and for studying geometry (but not only geometry).

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