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Why It’s Okay to Teach Algorithms
We had a lively discussion at last week’s homeschool math chat about teaching algorithms versus allowing a discovery learning process. What I can’t help but think about when I reread this discussion is how this compares to teaching a child manners. Teach kids manners early. Very early. I know someone who elected to wait until
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Why Focusing on Grades is Okay
David over at Real Teaching Means Real Learning posted last month about the focus of learning over grades. In principal, I agree that learning should be first in the minds of children and grownups. In principal. But this is reality. And I have two issues with David’s opinion. The conversation points for each focus is
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Quick Addition Tip – Adding 5 to Larger Digits
For some reason I have trouble adding 5 to the larger digits (like 7, 8 and 9). I noticed at some point that the last digit of that addition is the same as if you subtracted 5 from that number. Like this: and and So now when I add them, I merely subtract them and
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How a Math Teacher Can Change Lives
I was in the 4th grade. We were studying geometry. Mrs. Wilburn was the teacher. I read the definition of a square in the textbook: A square is a polygon with four equal sides and four equal angles. I read the definition of a rectangle: A rectangle is a polygon with four sides and four
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How to Never Find a Common Denominator Again
Do you keep struggling to teach common denominators? Do your kids just not “get it”? Well, it’s time to quit. Yep! You can teach (and do) fractions without ever finding a common denominator. The key is in the definition of addition for rational numbers. If you have two numbers and the sum of them is . Granted
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When to Give a Kid A Calculator
When we teach kids how to drive, we give them a few months in the classroom so they can learn the basics of driving and the rules of the road. Nobody in their right mind puts a teenager behind the wheel and says, while flying down the road, “Now, the brake pedal is the one
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3 Places to See the Coordinate Plane in Action
I was browsing through the book Family Math and found a nifty game called Hurkle. It goes a little something like this: The coordinate “space” is around too. This made me think of the conversation I had with a neighbor the other day while walking our children to the park. When Scotty beams someone in
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1 Word to Eliminate from Your Teaching Vocabulary: Just
Just get rid of it!
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How To Teach Algebraic Closure
Thanks to Kellie D for this question: “How do I know if a set is closed under the rule of addition, same question for multiplication?” Closure under addition or multiplication is a concept from Abstract Algebra that’s taught in not-so-abstract Algebra classes. It can be intuitive, if taught properly. You first have to start with
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Confessions of a Calculator Addict
I remember being allowed in Jr. High to use the calculator to “check my work.” Soon after I learned that the books in High School had the answers in the back! It was like condoned cheating! How could I go wrong with the magic box and the answers given to me straight from the publisher?











