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The mastery of basic facts is critical if students are to develop fluency in working mathematical problems. The negative attitudes many children have about math can be traced to not having mastered the basic facts.[1]
Yes, I admit it – I think kids should have to learn math facts – yes! I know it’s boring. I know it’s painful, but it’s not as painful as sitting in a grade 9 math class not being able to factor a binomial or polynomial because you never learned the relationship among the numbers 8, 7, and 56.
When I ran a school for students with special needs in Richmond Hill, I taught mental math for a full month before we cracked a text or looked at problem solving. My grade 6 to 9 students learned math facts to 12 x 12, and then they learned how to solve computational problems, such as 15 x 28 or 165 x 23, in their heads.
And they loved it. Why? Because they could do it – and it made them feel good (their peers in the public and private systems couldn’t do it) – and when we did get to the various curricula, they weren’t sweating the small stuff.
And they weren’t using calculators.
TIPS for teaching multiplication facts to 12 x 12:
ü Spend 7 minutes a day. Every day. Okay, every weekday.
ü Work with only 2 new facts at a time. Add them to the existing deck, so your child is reviewing every single day.
ü Once you teach a multiplication fact, e.g., 7 x 8 = 56, teach its turn-around fact, 8 x 7 = 56 (just because it’s obvious to you doesn’t mean your child will see it).
ü Teach division facts at the same time, with their turn-arounds (56 : 8 = 7 and 56 : 7 =8).
ü Put the focus on accuracy first; then worry about speed.
ü Try this order (and feel free to build a reward system into this programme).
- x 0 and x 1 = you can knock these off in a few minutes with most kids.
- x 2
- x 10
- x 5
- x 9
- x 11
- squares (2 x 2; 3 x 3, etc.)
- Then the rest, starting with 3 x ……. Don’t become discouraged. Picture a 12 x 12 grid. If you wrote the answers to all those multiplication and division facts you’ve just learned into a multiplication grid, you’d see, there aren’t many left to learn!
Don’t stop reviewing just because your child knows the facts this week. Keep it up a few times a week for 5 minutes.
Before you protest… I agree. Some children with learning disabilities have to expend too much energy to learn math facts, especially those with dyslexia and memory deficits. For those students, I suggest, not calculators, but fact sheets for addition, subtraction, multiplication, and division. Feel free to contact me if you’d like a sample of our math fact sheets.
Until next time,
Diane
[1] Mattingly, J. C. & Bott, D. A. (1990). Teaching multiplication facts to students with learning problems.
Exceptional Children 56, p. 44.