Top Posts

Recent Posts
 Mathematical Notations and Schools – 15
 Mathematical Notation and Schools – 14
 Mathematical Notation and Schools – 13
 Mathematical Notation and Schools – 12
 Mathematical Notation and Schools – 11
 Mathematical Notation and Schools – 10
 Mathematical Notation and Schools – 9
 Mathematical Notation and Schools – 8
 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
 attribution black box deferred computation denominations discoverable education embedding equivalence extending patterns gauntlet graded hurdles invariants lookup math class math in the comics matrix multiplication models naming notation puzzle recurrence relationship representational proof representations reverse engineering selection series on math learning sieve sorting standing on nothing state unlearning whole vs. parts
Archives
 July 2011
 June 2011
 May 2011
 April 2011
 February 2011
 January 2011
 December 2010
 November 2010
 October 2010
 September 2010
 August 2010
 July 2010
 May 2010
 April 2010
 March 2010
 February 2010
 January 2010
 December 2009
 September 2009
 August 2009
 July 2009
 June 2009
 May 2009
 April 2009
 March 2009
 February 2009
 January 2009
 December 2008
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
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
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
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
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
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?
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