Math programs that cover all the bases do exist, but so do kids who just don't get it all right away. Not everyone is born with a head for numbers, and even those who are will come across difficult concepts from time to time that require more attention and study. Some parents just try to push on through, without really assessing the child's retention or understanding, hoping eventually they'll just get it.

While there is something to be said for continuity, sometimes it's essential to stop and evaluate, maybe even to camp out on one topicefor awhile and really make sure your kids know what's going on before resuming regular lessons. After all, one of the benefits of homeschooling is that you can take your time when needed, adapt teaching methods to your child's needs, and generally exercise liberty in the education of your kiddos.

Probably since Adam and Eve undertook the education of their sons, humans have used physical objects to convey in concrete terms the abstract concepts of mathematics. Before a child can understand that "2+2=4," they have to see two apples put beside two more apples (or coconuts, or pennies, or whatever). We call these physical objects manipulatives.

Manipulatives come in all types and sizes and quantities. From plastic bear counters, to working scales, to Cuisenaire rods, to colored pattern blocks, these objects lie somewhere between the realm of toys and educational tools. Kids like handling things, but when those things actually impart important information, parents are happy too. You might be able to overdo manipulatives, but then again, entire curriculum lines are built around their use.

Starting with manipulatives as early as possible is a good idea. Older kids will have no interest in what they see as "little kid stuff," and anyway, they're probably past the age where such methods are effective. Younger kids can begin to learn to think mathematically before they're even "doing school" properly, just by having access to math-oriented toys, games, and gadgets.

Older kids are probably better off with flashcards and drill books, simply learning through repetition to do the basic, as well asthe more advanced, functions of math. Part of being good at math is learning the reason behind the functions, but mastery often comes simply through doing the same kinds of problems over and over and over till they become second nature.

A lot of mathematics, after all, is simply facts to be memorized. These facts have the advantage of beingdiscoverable and provable in the physical realm, but there aren't shortcuts, and there isn't a single secret that unlocks the whole scheme of things. Math study takes concentration and commitment, and both parents and students need to be aware of this before getting started.

At the same time, math can be fun, and to a great extent our kids will be enthusiastic about the same things that excite us. If we moan when the math books get dragged out, they'll moan too; if we treat arithmetic, algebra, geometry, and trigonometry like adventurous terrains to be explored, they'll gladly follow wherever we lead.

Some resources are better suited to cultivating this attitude than others. Occasionally there's no alternative to simply setting kids down with a drill book and making them do division or graphing until they comprehend it, but if we make math exciting from the beginning there's a strong chance kids won't ever get hung up on a single topic in the first place.

For little kids, you might start by reading them picture books like the Sir Cumference Series by Cindy Neuschwander and Wayne Geehan, beautifully illustrated stories that impart mathematical concepts and information through fun and imaginative stories. There are many moremath-based picture books available as well, some as basic as identifying numbers and shapes, others more advanced and complex.

Middle and high school students typically need to see how math relates to real life in order to get really excited about it. Again, there are plenty of options, but our favorites are Dr. Stan Schmidt's Life of Fred series. While more of a curriculum than simple resources, these books show through narrative and humor how even the most advanced math problems have real-life application and value.

You'll find all kinds of math resources below, from manipulatives to drill books to picture books and games. Math is an essential and invaluable subject, and we can't afford to give our kids half-hearted exposure to its principles, functions, and theories: these products will help you fill in gaps, reinforce important concepts, and generally guide your kids to thorough understanding of a field of study too often seen as confusing and frustrating.

 Review by C. Hollis Crossman C. Hollis Crossman used to be a child. Now he is a husband and father, teaches adult Sunday school in his Presbyterian congregation, and likes weird stuff. He might be a mythical creature, but he's definitely not a centaur.Read more of his reviews here.
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Harold Collins from Garlic Press for 1st-2nd grade in Addition (Location: MAT-ADD) \$2.50 (1 in stock) Advanced Multiplication Straight Forward Math Series by S. Harold Collins from Garlic Press for 2nd-4th grade in Multiplication (Location: MAT-MULT) \$2.50 (1 in stock) Adventures of Penrose the Mathematical Cat for Grades 3rd-5th in Math Games & Activities (Location: MATREF-GAM) \$7.00 (1 in stock) Algebra & Trigonometry: Functions & Applications - Set by Paul A. Foerster from Prentice Hall for 11th-12th grade in Algebra (Location: MATREF-ALG) \$85.00 (3 in stock) Algebra 2 - Student Text from A Beka Books for 9th-11th grade in A Beka Arithmetic & Mathematics (Location: MAT-ABK) \$19.00 (3 in stock) Algebra 2 - Student Textbook 3rd edition from Bob Jones University Press for 11th grade in BJU Math (Location: MAT-BJU) \$58.06 Algebra 2 with Trigonometry - DVD from AskDrCallahan for 10th-12th grade in Trigonometry (Location: MAT-TRIG) \$145.00 Algebra Antics by Evelyn B. 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Christensen from Mindware for 9th-12th grade in Math Games & Activities (Location: MATREF-GAM) \$5.00 (1 in stock) Algebra I Word Problems by Anita Harnadek from Critical Thinking Books for 7th-12th grade in Algebra (Location: MATREF-ALG) \$29.99 Algebra To Go from Great Source for 8th-10th grade in Algebra (Location: MATREF-ALG) \$32.35 \$12.50 (1 in stock) Angle Ruler by Learning Resources from Learning Resources for 6th-10th grade in Geometry & Shapes (Location: MATREF-GEO) \$2.99 Anno's Counting Book by Mitsumasa Anno from HarperCollins for Preschool-1st grade in Alphabet & Counting Books (Location: PIC-ALPH) \$6.39 Art of Problem Solving Calculus - Text & Solutions by David Patrick, Jeremy Copeland 2nd edition from Art of Problem Solving for 9th-12th grade in Art of Problem Solving (Location: MAT-AoPS) \$54.00 Art of Problem Solving Intermediate Algebra - Text & Solutions by Naoki Sato, Richard Rusczyk, Matthew Crawford from Art of Problem Solving for 8th-12th grade in Art of Problem Solving (Location: MAT-AoPS) \$69.00 Art of Problem Solving Intermediate Counting & Probability - Text & Solutions by David Patrick, Naoki Sato from Art of Problem Solving for 8th-12th grade in Art of Problem Solving (Location: MAT-AoPS) \$51.00 Art of Problem Solving Introduction to Counting & Probability - Text & Solutions Manual by David Patrick 2nd edition from Art of Problem Solving for 6th-10th grade in Art of Problem Solving (Location: MAT-AoPS) \$45.00 Art of Problem Solving PreCalculus - Text & Solutions by Richard Rusczyk, Naoki Sato 2nd edition from Art of Problem Solving for 9th-12th grade in Art of Problem Solving (Location: MAT-AoPS) \$57.00 \$42.00 (1 in stock) Attribute Blocks from Classroom Products for Preschool-5th grade in Attribute Blocks (Location: MATMAN-ATT) \$8.00 (1 in stock) Balance Benders Beginning by Robert Femiano from Critical Thinking Books for 1st-3rd grade in Critical Thinking Math (Location: MAT-CTP) \$9.99 Balance Benders Level 1 from Critical Thinking Books for 4th-12th grade in Critical Thinking Math (Location: MAT-CTP) \$9.99 Balance Benders Level 2 from Critical Thinking Books for 4th-12th grade in Critical Thinking Math (Location: MAT-CTP) \$9.99 Balance Math & More! 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Walsh 4th edition from Barron's Educational Series, Inc. for 9th-12th grade in Consumer & Career Math (Location: MAT-CON) \$16.99 Base Ten Blocks: Activities by Sherry Nortman-Wolf from Learning Resources in Base Ten (Location: MATMAN-B10) \$6.00 (3 in stock) Base Ten Blocks: Activities by Sherry Nortman-Wolf from Learning Resources for 1st-6th grade in Base Ten (Location: MATMAN-B10) \$7.50 (1 in stock) Base Ten Blocks: Activities by Laura O'Conner and Debra Stoll Revised Edition from Learning Resources for 1st-6th grade in Base Ten (Location: MATMAN-B10) \$7.50 (4 in stock) Base Ten Picture Cards from Activities for Learning, Inc. for Kindergarten-6th grade in RightStart Mathematics (Location: MAT-RSM) \$4.50 (1 in stock) Base Ten Starter Set - Plastic from Learning Resources for 1st-6th grade in Base Ten (Location: MATMAN-B10) \$39.99 \$24.00 (1 in stock) Basic Math Skills 5 from Evan-Moor Educational Publishers for 5th grade in Evan-Moor Math (Location: MAT-EVAN) \$16.00 (1 in stock)