General Links
Links for children and teachers:
Kids can test their knowledge in math and other subjects at http://www.getsmarter.org. Teachers can see how students in various countries did on those problems. The problems come from TIMSS, the Trends in International Mathematics and Science Study.
A variety of math links: http://www.mathforum.com/
Math Fundamentals Problem of the Week: http://mathforum.org/funpow/
Math texts used in Singapore: http://singaporemath.com/
For kids, teachers, and parents, including lesson plans, homework help, practice, and ask an expert: http://www.math.com/
A science program that children can participate in: http://www.globe.gov/fsl/welcome.html
National Council of Teachers of Mathematics: http://www.nctm.org
standards: http://standards.nctm.org/document/index.htm
electronic examples: http://standards.nctm.org/document/eexamples/index.htm
Conference Board of the Mathematical Sciences (CBMS) recommendations on the Mathematical Preparation of Teachers: http://www.cbmsweb.org/MET_Document/index.htm
Information on the need for mathematics in various careers:
Bureau of Labor Statistics information on careers: http://stats.bls.gov/k12/html/tch_mat1.htm
Resources and information on gender and math/technology: http://www.terc.edu/mathequity/gw/html/weblinks.html
Chapter 1, Problem Solving
NCTM standards on problem solving: http://standards.nctm.org/document/chapter3/prob.htm
NCTM standards on reasoning and proof: http://standards.nctm.org/document/chapter3/reas.htm
NCTM standards on communication: http://standards.nctm.org/document/chapter3/comm.htm
NCTM standards on connections: http://standards.nctm.org/document/chapter3/conn.htm
NCTM standards on representations: http://standards.nctm.org/document/chapter3/rep.htm
Chapter 2, Numbers
NCTM standards on numbers and operations: http://standards.nctm.org/document/chapter3/numb.htm For grade band recommendations, click on the grade band you are interested in.
Place value:
Zooming in through powers of 10: http://micro.magnet.fsu.edu/primer/java/scienceopticsu/powersof10/index.html
Chapter 3, Fractions
NCTM standards on numbers and operations: http://standards.nctm.org/document/chapter3/numb.htm For grade band recommendations, click on the grade band you are interested in.
A fraction game from the NCTM e-examples: http://standards.nctm.org/document/eexamples/chap5/5.1/index.htm
Chapter 4, Addition and Subtraction
NCTM standards on numbers and operations: http://standards.nctm.org/document/chapter3/numb.htm For grade band recommendations, click on the grade band you are interested in.
Chapter 5, Multiplication
NCTM standards on numbers and operations: http://standards.nctm.org/document/chapter3/numb.htm For grade band recommendations, click on the grade band you are interested in.
Estimating scoops, from the NCTM e-examples: http://standards.nctm.org/document/eexamples/chap4/4.6/index.htm
Chapter 6, Multiplication of Fractions, Decimals, and Negative Numbers
NCTM standards on numbers and operations: http://standards.nctm.org/document/chapter3/numb.htm For grade band recommendations, click on the grade band you are interested in.
Information about the federal debt from the US Department of the Treasury: http://www.ustreas.gov/opc/ See also http://www.ustreas.gov/opc/opc0019.html and the main link to the US Department of the Treasury at http://www.ustreas.gov/
Chapter 7, Division
NCTM standards on numbers and operations: http://standards.nctm.org/document/chapter3/numb.htm For grade band recommendations, click on the grade band you are interested in.
Consumer Price Index: http://www.bls.gov/cpi/home.htm See also http://www.bls.gov/cpi/ and http://data.bls.gov/cgi-bin/surveymost?cu
US and state populations from the US Census: http://www.census.gov
Total area of US: http://www.photius.com/wfb1999/united_states/united_states_geography.html
Chapter 8, Geometry
NCTM standards on geometry: http://standards.nctm.org/document/chapter3/geom.htm For grade band recommendations, click on the grade band you are interested in.
Moon phases: See http://www.astro.wisc.edu/~dolan/java/MoonPhase.html for an animation showing how the moon's phases occur. Also see http://tycho.usno.navy.mil/vphase.html
Paths, angles: Creating paths and navigating mazes, from the NCTM e-examples: http://standards.nctm.org/document/eexamples/chap4/4.3/index.htm
GPS: http://tycho.usno.navy.mil/gps_datafiles.html
Platonic solids as crystals: See http://mineral.galleries.com/minerals/crystal.htm
Tetrahedron: http://mineral.galleries.com/minerals/crystal.htm
Cube: http://mineral.galleries.com/minerals/crystal.htm
Octahedron: The mineral Fluorite can form a crystal in the shape of an octahedron, see http://mineral.galleries.com/minerals/crystal.htm
So can gold, see http://www.kennecottminerals.com/mines/octahedron.html and magnetite, see http://www.galleries.com/minerals/oxides/magnetit/magnetit.htm
Dodecahedron: The mineral Pyrite can form a crystal in the shape of a dodecahedron.: See: http://www.minerals.net/mineral/sulfides/pyrite/pyrite2.htm and see http://www.minerals.net/glossary/terms/p/pyritohe.htm both from Mineral and Gemstone Kingdom at http://www.minerals.net/index.htm
Icosahedron: Some viruses are shaped like an icosahedron. See http://www.tulane.edu/~dmsander/WWW/335/335Structure.html (scroll down).
Other polyhedra: http://www.georgehart.com/virtual-polyhedra/vp.html
Chapter 9, Geometry of Motion and Change
NCTM standards on geometry: http://standards.nctm.org/document/chapter3/geom.htm For grade band recommendations, click on the grade band you are interested in.
Art of M.C. Escher:
http://www.mathacademy.com/pr/minitext/escher/
http://www.worldofescher.com/gallery/
Review of software for creating Escher-type artwork, for grades 3 and up: http://www.terc.edu/mathequity/gw/html/TesselMania.html
Escher's art and related mathematics: http://escherdroste.math.leidenuniv.nl/
Symmetry and tessellations:
http://ccins.camosun.bc.ca/%7Ejbritton/jbsymteslk.htm
http://www.thinkquest.org/library/site_sum.html?tname=16661&url=16661/
Frieze patterns:
http://www.joma.org/vol1-2/framecss/rintel/Math/seven.html
Scaling:
Zooming in through powers of 10: http://micro.magnet.fsu.edu/primer/java/scienceopticsu/powersof10/index.html
How to make a camera obscura: http://www.exploratorium.edu/science_explorer/pringles_pinhole.html
Chapter 10, Measurement
NCTM standards on measurement: http://standards.nctm.org/document/chapter3/meas.htm For grade band recommendations, click on the grade band you are interested in.
The metric system: See the websites http://lamar.ColoState.edu/~hillger/ and (the very technical) http://www.nist.gov/
The website http://lamar.ColoState.edu/~hillger/week.htm has some ideas for teaching the metric system.
Dimensions: http://mam2000.mathforum.com/765/index.html
Big trees: http://www.nps.gov/seki/bigtrees.htm
http://www.nps.gov/seki/shrm_pic.htm
http://www.nps.gov/seki/grantpic.htm
http://www.vichysprings.com/montgomery.html
http://www.cr.nps.gov/history/online_books/glimpses1/glimpses28.htm
http://www.americanparknetwork.com/parkinfo/sk/sights/
Chapter 11, More about Area and Volume
NCTM standards on measurement: http://standards.nctm.org/document/chapter3/meas.htm For grade band recommendations, click on the grade band you are interested in.
Using Cavalieri's principle (implicitly) to prove the Pythagorean theorem (Euclid's proof), from theNCTM e-examples: http://standards.nctm.org/document/eexamples/chap6/6.5/index.htm
Estimating scoops, from the NCTM e-examples: http://standards.nctm.org/document/eexamples/chap4/4.6/index.htm
Chapter 12, Number Theory
NCTM standards on numbers and operations: http://standards.nctm.org/document/chapter3/numb.htm For grade band recommendations, click on the grade band you are interested in.
Harmony, proportion, and the square root of 2: http://www.aboutscotland.com/harmony/harmony.html
Chapter 13, Functions and Algebra
NCTM standards on algebra: http://standards.nctm.org/document/chapter3/alg.htm For grade band recommendations, click on the grade band you are interested in.
Mathematics texts used in Singapore: http://singaporemath.com/
Trends in International Mathematics and Science Study: formerly Third International Mathematics and Science Study: http://nces.ed.gov/timss/results.asp test items: http://nces.ed.gov/timss/educators.asp
Fibonacci sequence: http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html
Harmony, proportion, and the square root of 2: http://www.aboutscotland.com/harmony/harmony.html
Standard and Poor's 500 Index: http://www.spglobal.com
Chapter 14, Statistics
NCTM standards on data analysis and probability: http://standards.nctm.org/document/chapter3/data.htm For grade band recommendations, click on the grade band you are interested in.
Random number generator: http://www.random.org/sform.html and http://www.random.org/nform.html
Federal Statistics: http://www.fedstats.gov/
Statistics from the US Census: http://www.census.gov
Statistics about children's health, welfare, and population: http://www.childstats.gov/
Population of children: http://www.childstats.gov/ac1999/poptxt.asp#pop2
Population and family characteristics (including language): http://www.childstats.gov/ac2001/poptxt.asp
Children and poverty: http://www.childstats.gov/ac2003/tbl.asp?id=3&iid=113 based on the Current Population Survey.
Healthy eating index (children): www.childstats.gov/ac2001/ECON4Dtbl.asp
Students' cigarette smoking: www.childstats.gov/ac2001/xBEH1.asp
Clinical growth charts of children: http://www.cdc.gov/nchs/about/major/nhanes/growthcharts/clinical_charts.htm
Statistics about children's education:
NCES: National Center for Education Statistics (NCES): http://www.nces.ed.gov/ National household education surveys: http://www.nces.ed.gov/nhes/
NAEP: The National Assessment of Education Progress (NAEP), often called ``the Nation's Report Card'', is a national assessment of what children know and can do in various subjects. Information about NAEP is available at http://nces.ed.gov/nationsreportcard/ and at http://nces.ed.gov/commissioner/remarks2003/11_13_2003.asp
NAEP Achievement level tables in reading and mathematics at grades 4 and 8 are at http://nces.ed.gov/nationsreportcard/reading/results2003/natachieve-g4.asp
http://nces.ed.gov/nationsreportcard/reading/results2003/natachieve-g8.asp
http://nces.ed.gov/nationsreportcard/mathematics/results2003/natachieve-g4.asp
http://nces.ed.gov/nationsreportcard/mathematics/results2003/natachieve-g8.asp
NAEP 1999 Long-Term Trend Summary Data Tables are at http://nces.ed.gov/naep3/tables/Ltt1999/
NAEP information about states is at http://nces.ed.gov/nationsreportcard/states/
Statistics pages for children: See http://www.fedstats.gov/kids.html and http://www.census.gov/dmd/www/schoolessons.html
Also see http://www.globe.gov/fsl/welcome.html for a science program that children can participate in.
Trends in International Mathematics and Science Study: http://nces.ed.gov/timss/results.asp test items: http://nces.ed.gov/timss/educators.asp
Statistics about earnings and occupations:
Data about earnings by occupation and education http://www.census.gov/hhes/income/earnings/earnings.html
Historical income equality/inequality: http://www.census.gov/hhes/income/histinc/ie1.html
Historical household income: http://www.census.gov/hhes/income/histinc/ie4.html
Statistics about businesses: http://www.census.gov/pub/epcd/cbp/view/us99.txt
Statistics about health:
http://www.cdc.gov/ specifically, see http://www.cdc.gov/nchs/fastats/Default.htm and http://www.cdc.gov/nccdphp/sgr/adoles.htm and http://www.cdc.gov/nccdphp/sgr/sgr.htm
Healthy eating index (children): http://www.childstats.gov/ac2001/ECON4Dtbl.asp
Clinical growth charts of children: http://www.cdc.gov/nchs/about/major/nhanes/growthcharts/clinical_charts.htm
Statistics about weather and climate:
http://www.cdc.noaa.gov/USclimate/ and http://www.cdc.noaa.gov/USclimate/states.fast.html and http://www.cpc.ncep.noaa.gov/products/predictions/610day/ and http://lwf.ncdc.noaa.gov/oa/climate/onlineprod/drought/xmgr.html
Mean and median: electronic example: http://standards.nctm.org/document/eexamples/chap6/6.6/index.htm
Standardized tests:
Explaining standardized test results to parents: http://www.ed.gov/databases/ERIC_Digests/ed302559.html
Norm- and criterion- referenced testing: http://www.ed.gov/databases/ERIC_Digests/ed410316.html
Common misuses of tests: http://www.ed.gov/databases/ERIC_Digests/ed315429.html
Chapter 15, Probability
NCTM standards on data analysis and probability: http://standards.nctm.org/document/chapter3/data.htm For grade band recommendations, click on the grade band you are interested in.