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It is my belief that facts are only memorized when there is a motivation to do so, and that by far the best motivation is relevance to something the individual cares about. Thus memorizing facts on their own is hard, but doing interesting problems which require those facts will lead to natural memorization through repetition. Therefore I would recommend ...

Piaget's developmental stage theory, despite its wide-ranging impact on education, is highly questionable today in many respects. His research methods were erroneous, and there is plenty of evidence that his overly rigid stage concept is wrong. Milestones based on the theory are also questionable, and in any event general milestones cannot be used to ...

My favourite math games use cards: cribbage (adding to 15, counting to 31, matching) snap (matching) war (more than, less than) beat the calculator (one person has a calculator, the other doesn't, 2 cards are turned up; first person with the answer wins, calculator alternates between people) You can also use dice. Playing Yahtzee requires counting and ...

Definitely try Khan Academy! It's free! Google and the Gates Foundation have contributed money sponsoring it. There is talk of it being translated. presents math drills from 1+1 to university level calculus and algebra supported by youtube videos explaining the concepts achieve badges based on proficiency must answer 10 questions in a row correctly in ...

I remember in elementary school (somewhere between grade 1-5, probably 3 for this example) we had some person from some company (or maybe government) come in and teach us division. It was very cool how she did it (well, at the time I thought so anyway). We were in a big hall. There was some 28-30 (assume 30 for this example) of us. We were asked to divide ...

There are a few tv shows that help preschoolers familiarize (noy really teach, in my opinion) with mathematical concepts. Among them: Numberjacks, Team Umizoomi.

Schoolhouse Rock is always the top of the heap for multiplication. It worked in 1974 and still works frighteningly well today. As for addition and other basic forms; I'd suggest scouring YouTube. I've been very fortunate to find, not merely old Sesame Street counting; but other educational vids. (Note the answer from Dr. Stiehler above supports educational ...

When I was 3 year old, my dad gave me a calculator and taught me to use it for addition and multiplication. I started playing with it and memorising the results, so at 4 I was already able not to use the calculator. So the calculation aids are not necessarily evil. Sometimes they help. Why don't you just play with the kid, so that the kid asks you question ...

Abstract thinking requires practice. While Piaget's theories about child development are somewhat reliable for young children, the wheels tend to come off the Piaget bus when it comes to abstract thinking and when different people acquire abstract thinking skills. New research now tells us that the adult brain is not really fully developed until well into a ...

You child has mastered a skill and finds it boring? Don't ask her to do drill on that skill, do something she'll find challenging, even if it's outside of her current curriculum. For example, addition and subtraction are used all around us; when you go shopping, ask what change you should expect. Ask what notes and coins the change will come in (best ...

I have never met a child of older age (say, 7 or older) who had learned to use a number line, and who required it to do any sort of addition. Besides chance meetings with children over the years, for a while I tutored grade-schoolers in math. I've never heard of over-reliance on number lines being an issue, either. Thus I don't think there is much risk at ...

This was my problem at primary school - my initial solution was to try and find practical problems that required arithmetic. This kept me interested for a year or so, and by that stage the school had realised what I needed and provided extra tuition in calculus and the more fun aspects of mathematics. If your school can't or won't support a gifted child ...

Here are links to a variety of math games that I suspect would be appropriate. http://thematicunits.theteacherscorner.net/math-games.php#activities Scroll to the Games to Create section (below the online games) for details of various math games. http://www.superteacherworksheets.com/ Select a specific math worksheet on the left and optional games ...

There is an ancient Windows game called XFIGURE. You create 'crossword' puzzles, where the clues are simple sums, and the answers are digits. You can configure the software to include different types of calculation - addition, subtraction, multiplication, division, and some other stuff. (How many seconds in 2 minutes? How many inches in 4 feet?) Best of ...

I found 'Great Big Book of Children's Games' with a google book search and searched for 'math' within the book: goo.gl/e6f25 Some examples of math related children's games: Casino (card Game) Number Tic-Tac-Toe Shut the Box Brother Jonathan You may be able to find a number of other games with similar searches.

The Khan Academy is an excellent resource for learning and teaching math. There are two parts to KA. Excellent instructional videos and an interactive practice problems. If you sign up for an account you can track your learning progress on the dashboard which has many game features. You can earn badges, earn energy [progress] points, check leader-boards, ...