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Online Math Resources for gifted children

This is an annotated and hand-picked list of math websites, contests, and books specifically for gifted students. Of course, Art of Problem Solving is one of the main destinations for gifted children. There also exist many math contests and problem solving resources. See also my list of problem solving websites, as it has a longer list of those.

For gifted/talented students

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.

Art of Problem Solving's online learning system. Alcumus offers students a customized learning experience, adjusting to student performance to deliver appropriate problems and lessons. It is specifically designed to provide high-performing students with a challenging curriculum appropriate to their abilities. To sign up you need to join a class; there's an online class set up at Let’s Play Math! open to all interested homeschoolers and self-directed learners.

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

Search for number, geometry, probability etc. word problems and challenges. Includes solutions.

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.

Math Zoom
Math Zoom provides math camps, in-person and online tutoring, and other instruction for students gifted in mathematics, including preparation for mathematics competitions.

Brilliant is a community for high aptitude students around the world. Members tackle challenging problems with others in the community, participate in discussions on topics in math and science, and submit their own notes and problems to share with the community.

A website for parents, students, and teachers seeking resources for geometry, algebra, competition preparation, and recreational mathematics. Hundreds of algebra, geometry, and puzzle worksheets are available in PDF format, along with hundreds of problem sets from regional, state, and national math competitions like MathCounts and the American Math Competition.

Education Program for Gifted Youth (EPGY)
EPGY offers a complete sequence of mathematics courses from the kindergarten-level through the advanced undergraduate-level. There is a fee. The courses are online (web-based) and include accelerated courses for elementary level (up through pre-algebra), with a strong emphasis in conceptual geometry and mathematical foundations. The other courses offered are in secondary level, AP level, and university level.

Unizor offers advanced mathematics videos and lectures for teens, while enabling their parents or supervisors to control educational process. Topics covered include algebra, geometry, vectors, trigonometry, and fundamentals of math..

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).

A Middle School Math Workbook: Pre-Algebra, Algebra I, and Geometry by Qishen Huang
This book contains challenging problems that will help your child gain math skills at an internationally competitive level.

A High School Math Workbook: Algebra, Geometry & Precalculus by Qishen Huang
This book contains challenging problems that will help your child gain math skills at an internationally competitive level.

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.

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.

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).

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, but meant more for high school level.

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.

Practice makes perfect. Practice math at IXL.com

Free algebra and geometry lessons