Monthly Archives: March 2009

Relationships – Powers

Posted on 2009/03/28 by Bert Speelpenning

In the following figure, three situations with powers are shown: The table on the left shows powers of 2. You can ignore the entry for zero, if you like. Also, don’t be put off by the notation 2^n instead of … Continue reading →

Posted in Uncategorized | Tagged denominations, embedding, extending patterns, models, naming, reverse engineering, standing on nothing, unlearning | 3 Comments

Relationships – Percentages

Posted on 2009/03/27 by Bert Speelpenning

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 →

Posted in Uncategorized | Tagged denominations, education, extending patterns, models, naming, representations, reverse engineering, unlearning | 4 Comments

The Whole and the Parts – Where Units Really are Arbitrary

Posted on 2009/03/23 by Bert Speelpenning

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 | 4 Comments

The Whole and the Parts – Memory and Hysteresis

Posted on 2009/03/22 by Bert Speelpenning

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 →

Posted in Uncategorized | Tagged math class, models, representations, reverse engineering, unlearning, whole vs. parts | 1 Comment

The Whole and the Parts – Feedback Loops with Delay

Posted on 2009/03/18 by Bert Speelpenning

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 →

Posted in Uncategorized | Tagged extending patterns, models, naming, representations, reverse engineering, unlearning, whole vs. parts | Leave a comment

The Whole and the Parts – Packaging

Posted on 2009/03/16 by Bert Speelpenning

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 →

Posted in Uncategorized | Tagged denominations, extending patterns, math class, models, representations, reverse engineering, unlearning, whole vs. parts | 3 Comments

Pi Day – How Big Is Pi?

Posted on 2009/03/14 by Bert Speelpenning

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 →

Posted in Uncategorized | Tagged extending patterns, math class, models, reverse engineering | Leave a comment

Monthly Archives: March 2009

Relationships – Powers

Relationships – Percentages

The Whole and the Parts – Where Units Really are Arbitrary

The Whole and the Parts – Memory and Hysteresis

The Whole and the Parts – Feedback Loops with Delay

The Whole and the Parts – Packaging

Pi Day – How Big Is Pi?

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