Top Posts
 Notes on Representation  Tally Marks
 Notes on Fractions  Deferred Computation
 Key Math Ideas Not Taught In School  Invariants
 Key Math Ideas Not Taught In School
 Operators, Functions, and Properties  part 10
 What is Multiplication  the Series
 Series
 Notes on Embedding
 Operators, Functions, and Properties  part 11
 Representations  Processes and Snapshots

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
Tag Archives: graded hurdles
Math in the Comics – part 10
From last week’s Foxtrot comic, another take at the cultural background conversation of math. Who is bad at math? At one level, a puzzle. The top part, the part that starts with “1611135” is not a subtraction problem. It is … Continue reading
Posted in Uncategorized
Tagged gauntlet, graded hurdles, math class, math in the comics, puzzle, selection
2 Comments
Middle School Math – What is Hard?
I’ve been wondering for a while what the fundamental difficulties are that kids encounter in mathematics, at the middle school level. I used to think that the fundamental difficulty had to do with the introduction of variables, and with expressions … Continue reading
Posted in Uncategorized
Tagged denominations, extending patterns, graded hurdles, math class, models, naming, representations, unlearning
5 Comments
Math in the Comics – part 6
Today, there is a followup on yesterday’s Non Sequitur comic – in which Danae’s new math system is revealed: henceforth, she will start with the answer and work back to get an equation that fits the problem. This way, she … Continue reading
Math in the Comics – part 5
In today’s comics, there is this Non Sequitur one: Comics, to me, are interesting regardless of whether a particular one is funny, since they reveal a lot about the community and the society in which they appear. Usually, comics make … Continue reading
Posted in Uncategorized
Tagged education, gauntlet, graded hurdles, math class, math in the comics, representations
8 Comments
Selection versus Education
In many walks of life, we are quite used to systems that select suitable candidates by putting a graded series of hurdles in their path. In the USA we do this with presidential candidates: we make them campaign on the … Continue reading
Posted in Uncategorized
Tagged education, graded hurdles, math class, selection, sorting
Leave a comment
Running the Math Gauntlet
The image of someone running the gauntlet has always struck me as appropriate to much of math education. You know the image, two rows of people with sticks, and you’re supposed to walk between them. As they hit you, you … Continue reading