Top Posts
 Notes on Representation  The Number Line
 Operators, Functions, and Properties  part 42
 Running the Math Gauntlet
 Making Change  A Sam Lloyd puzzle
 Notes on Deferred Computation  the Pythagorean Spiral
 Notes on Fractions
 Operators, Functions, and Properties  part 35
 Operators, Functions, and Properties  part 38

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 Mathematical Notations and Schools – 15
 Mathematical Notation and Schools – 14
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 Mathematical Notation and Schools – 11
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 Mathematical Notations and Schools – 7
 Mathematical Notations and Schools – 6
 Mathematical Notation and Schools – 5
 Mathematical Notation and Schools – 4
 Mathematical Notation and Schools – 3
 Mathematical Notation and Schools – 2
 Mathematical Notation and Schools: The Series
Blogroll
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Monthly Archives: March 2009
Relationships – Percentages
If I ask you to count, starting at 103, for five counts, you do so by keeping track of two quantities. You keep track of them in your head, by speaking out loud and listening to what you just said, … Continue reading
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Tagged denominations, education, extending patterns, models, naming, representations, reverse engineering, unlearning
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The Whole and the Parts – Where Units Really are Arbitrary
After several posts where the entire point was to highlight situations where the whole is more than the sum of the parts, I thought it would be interesting to bring in a contrast. In this post, we will look at … Continue reading
Posted in Uncategorized
Tagged denominations, extending patterns, models, naming, reverse engineering, unlearning, whole vs. parts
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The Whole and the Parts – Memory and Hysteresis
Imagine I’ve got a sheet of four (square) postage stamps, like this: If I need a single postage stamp, I need to do some tearing, and that tearing takes a bit of time and effort. To tear along a single … Continue reading
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Tagged math class, models, representations, reverse engineering, unlearning, whole vs. parts
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The Whole and the Parts – Feedback Loops with Delay
In my previous post on feedback loops I promised to look at their limitations. I’ll start that in this post, but think I should say a little more about what they are good for first. In the example of a … Continue reading
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Tagged extending patterns, models, naming, representations, reverse engineering, unlearning, whole vs. parts
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The Whole and the Parts – Packaging
My earlier posts in The Whole and the Parts series may have seemed “less mathematical” to you than other posts in this blog. They didn’t involve a whole lot of arithmetic, little notation and few if any formulas. Whatever mathematics … Continue reading
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Tagged denominations, extending patterns, math class, models, representations, reverse engineering, unlearning, whole vs. parts
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Pi Day – How Big Is Pi?
In your time zone Pi Day may already be over. But here, it still is March 14, the traditional day to celebrate Pi. Most kids can rattle off that Pi has the value 3.14 (approximately) and that is used in … Continue reading
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Tagged extending patterns, math class, models, reverse engineering
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