General Math Resources Online

Math history

History Topics Index from the MacTutor history of Mathematics archive
An extensive list of essays about math history.
www-groups.dcs.st-and.ac.uk/~history/Indexes/HistoryTopics.html

Math History Timeline
Timeline from 600BC till present. Click on the icons to learn more about the mathematicians. You have to push 'hard and long' on the arrow to move on the timeline.
www.counton.org/timeline/

Living Math History Course
Lesson plans to study math through history and related math topics in context. The lessons feature a biography of one or more mathematicians, with reading assignments, resources, suggested links and activities tying in with the concepts and history surrounding the individual studied.
www.livingmath.net/LivingMathLessons/tabid/273/Default.aspx

Fibonacci Numbers and the Golden Section
A collection of information about Fibonacci numbers, including how they appear in nature (pine cones, flower petals, cauliflower florets etc.), puzzles, and intriguing math about them.
www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html

Online math tutors to help with math homework are available 24/7 at Tutor.com.

Problem solving

Word Problems for Kids
A great selection of word problems for grades 5-12.  A hint and a complete solution available for each problem.
www.stfx.ca/special/mathproblems/welcome.html

Problem Solving Decks from North Carolina Public Schools
Includes a deck of problem cards for grades 1-8, student sheets, and solutions. Many of these problems are best solved with calculators. All of these problems lend themselves to students telling and writing about their thinking.
community.learnnc.org/dpi/math/archives/2005/06/problem_solving.php

Math Stars Problem Solving Newsletter (grades 1-8)
These newsletters are a fantastic, printable resource for problesm solve and their solutions.
community.learnnc.org/dpi/math/archives/2005/06/math_stars_news.php

Open-Ended Math Problems
Collection of problems that lend themselves to more than one way of solving.
fi.edu/school/math2/index.html"

Math Kangaroo Problem Database
Easily make worksheets of challenging math problems based on actual past Math Kangaroo competition problems.
www.kangurusa.com/clark/pdb/

Thinking Blocks
Learn to model or make visual representations of word problems with this interactive program.
www.thinkingblocks.com/

Mathematics Enrichment - nrich.maths.org
Open-ended, investigative math challenges for all levels.
nrich.maths.org/public/

Figure This! Math Challenges for Families
Word problems related to real life. They don't always have all the information but you have to estimate and think. For each problem, there is a hint, other related problems, and interesting trivia. Website supported by National Council of Teachers of Mathematics.
www.figurethis.org/"

Learn to Solve Word Problems
A collection of school algebra word problem solvers that solve your problems and help you understand the solutions. All problems are customizable, meaning that you can change all parameters.
www.algebra.com/algebra/homework/word/

Math Word Problems for Children - MathStories.com
Over 12,000 interactive and non-interactive NCTM compliant math word problems, available in both English and Spanish. Helps elementary and middle school children boost their math problem solving and critical-thinking skills. Need to pay for membership. 
www.mathstories.com/

• Word Problems Solving Strategies
  Gives one example of each strategy: Find a pattern, Make a table, Work backwards, Guess and check, Draw a picture, Make a list, Write a number sentence, Use logical reasoning.
  www.mathstories.com/strategies.htm

Problem Solving Strategies
A PDF document explaining with examples 8 different strategies.
www.mathcounts.org/webarticles/anmviewer.asp?a=155&z=29

Math Word Problems Worksheets
Free worksheets from About.com for various grades in PDF form.
math.about.com/od/wordproblem1/Worksheets_for_Word_Problems_Various_grades.htm

Homeschool Math Contests
A comprehensive list of math contests which are open and accessible to individual homeschoolers.
www.HomeschoolMathContests.com

"Problem of the Week" (POWs)
Problem of the week contests are excellent for finding challenging problems and for motivation. There exist several:

• Math Forum: Problem of the Week
  Five weekly problem projects for various levels of math. Mentoring available.
  www.mathforum.org/pow/

• Math Contest at Columbus State University
  Elementary, middle, algebra, and "general" levels.
  www.colstate.edu/mathcontest/

• Aunty Math
  Math challenges in a form of short stories for K-5 learners posted bi-weekly. Parent/Teacher Tips for the current challenge explains what kind of reasoning the problem requires and how to possibly help children solve it.
  www.auntymath.com/

• Education Place Brain Teasers
  Has a separate one for for grades 3-4, grades 5-6, and grades 7-8.
  www.eduplace.com/math/brain/index.html

• Grace Church School's ABACUS International Math Challenge
  This is open to any child in three different age groups.
  www.gcschool.org/pages/program/Abacus.html

• MathCounts Problem of the Week Archive
  Browse the archives to find problems to solve. You can find the link to the current problem on the home page.
  www.mathcounts.org/webarticles/anmviewer.asp?a=142&z=7

Primary Mathematics Challenging Word Problems
For grades 1-6 from Singapore Math. The books include answer key, worked examples, practice problems, and challenging problems. $8 per book.
www.singaporemath.com

MathsChallenge.net
Search for number, geometry, probability etc. word problems and challenges. Includes solutions.
mathschallenge.net/

Smart Skies - Distance Rate Time problems
Six Air Traffic Control (ATC) Problems, with downloadable curriculum materials and teacher guide. For grades 5-9.
quest.nasa.gov/projects/smart_skies/

Math League's Homeschool Contests
Challenge your children with the same interesting math contests used in schools. Contests for grades 4, 5, 6, 7, 8, Algebra Course 1, and High School are available in a non-competitive format for the homeschoolers. The goal is to encourage student interest and confidence in mathematics through solving worthwhile problems and build important critical thinking skills. By subscription only.
www.mathleague.com/homeschool.htm

Ms. Lindquist: the Tutor
An intelligent tutoring system for algebra for tutoring students in writing expressions for algebra word problems.
www.cs.cmu.edu/~neil/

Hands-on math projects

Mixing in Math
A list of activities that mix math in to sports, snack time, arts and crafts, playground games etc. Easy to prepare and lead, and free.
mixinginmath.terc.edu/

Hands-on Manipulative Instructions
Print, cut out, and color & glue - various blocks, tiles, graph paper.
mason.gmu.edu/~mmankus/Handson/manipulatives.htm

Math Lessons and Projects
These are quality math projects - spanning from number sense, geometry, statistics, probability, algebra, to special math events. They're not free but you pay a few dollars per download.
www.digitallesson.com/id14.html

For gifted/talented students

Singapore Math
A math curriculum that challenges and teaches problem solving in a unique way. Check especially their challenging word problem books.
www.singaporemath.com/

Art of Problem Solving
The Premier website for avid students of mathematics. Includes Art of Problem Solving textbooks, an online school for gifted students including some free math classes, and a free math forum.
www.artofproblemsolving.com/

Challenge Math For the Elementary and Middle School Student
A book containing 1000 challenging problems at three levels of difficulty, and a special instructional format that teaches how to solve problems. The problems are true stories that tie math and science together ($25, 345 pages).
www.amazon.com/

Math Circles
Mathematical Circles are a form of education enrichment and outreach. Students meet with mathematical professionals in an informal setting, after school or on weekends, to work on interesting problems or topics in mathematics. The goal is to get the students excited about the mathematics, giving them a setting that encourages them to become passionate about mathematics.
mathcircles.org/

eIMACS.com
The Institute for Mathematics and Computer Science (IMACS) welcomes you to its online learning facility, dedicated to delivering the highest quality interactive mathematics and computer science curricula to talented middle and high school and undergraduate students.
www.eIMACS.com/

Calculus Without Tears
Easy lessons for learning calculus for students from the 4th grade up. Prerequisite is decimal arithmetic. The approach in these lessons is to learn calculus using a simple physical model, a runner running at a constant velocity, and the easy functions that describe it. Once the fundamentals are understood using the simple model, more complex models and functions can be studied (in Vols 2 and 3).
www.berkeleyscience.com/

Mathematics, a Human Endeavor: A Textbook for Those Who Think They Don't Like the Subject
Filled with humor and real-life connections, this textbook by Harold Jacobs covers a wide range of mathematical topics, aiming to show students how interesting math can be. Suitable for middle school up.
www.amazon.com/

For All Practical Purposes : Mathematical Literacy in Today's World
A math textbook intended for undergraduates of liberal arts; focusing on mathematics relevant to consumers, business, history, and social sciences. You can download for free chapters 16 and 19 of 4th edition.
www.amazon.com/

Mental Math and Tricks

Review & Testing

Test Prep Practice
Multiple choice questions for grades 1-6.  Also has a "Test Quest" section to practice common problem solving strategies.
www.eduplace.com/kids/mhm/index.html

That Quiz
Free testing, grading and record keeping for teachers, with practice tests for students about arithmetic, greater/less than, roots, exponents, fractions, and geometry.
www.thatquiz.com/

Elementary Test Prep Center for Math 4
An interactive practice site to prepare children and parents for a math test taken on grade 4 in New York state
www.oswego.org/testprep/math4.cfm

Studystack.com - free memorization tools
StudyStack provides free online tools to help students memorize information. Activities include flashcards, matching, hangman, and more.Use the existing flashcards or create your own set of data.
www.studystack.com/

Art of Math
Simple online tests about basic math facts (app. grades 1-4).
www.artofmath.com/

Gallery of Classic Math Mistakes
Downloadable posters portraying classic mistakes students often make, with funny identifying phrases.
www.calculatorsoftware.co.uk/classicmistake/gallery.htm

MathScore
Online adaptive math practice environment with measurable student progress. From grade 2 to algebra. $5.95 per month for one student.
www.mathscore.com/

Free Online SAT and ACT Prep
Offered by California Virtual High School - for all subjects, not just math. Adjusts to the student's skill level.  Includes test tips, progress reports and more.
www.cavhs.org/

Internet Edition of Test Prep Mathematics
Summary-type review for middle school math with practice problems. PDF files. You can also purchase a paper copy.
www.businessbookmall.com/Test-Prep%20Mathematics.htm

Free Worked Solutions for 2005 SAT Practice Test
Also includes a link where you can download the practice test.
www.onlinemathlearning.com/free-sat-practice-test.html

GCSE Practice Test
Attainment test, graded on the spot, for intermediate and higher GCSE levels.
www.mathsyear2000.org/gcseandalevel/test/index.html

Regents Exam Prep Center for Math A
Each subtopic contains a concise review page, an interactive student practice page, and a teacher resource page. (The New York State Mathematics A Regents Examination is the mathematics test that all students in New York State must pass in order to graduate from high school.)
regentsprep.org/regents/math/math-a.cfm

Test Preparation Google Directory
Find more websites about preparation/practice for various tests
directory.google.com/Top/Reference/Education/Products_and_Services/Test_Preparation/?il=1" target=

Software

Taylor's learning Math Collections
A bunch of downloadable programs, each has 1500 exercises for GMAT and SAT exams with step-by-step solutions.
Price: $9.95 each, 15-day free trial
www.math-worksheets.us/