Top Posts
 Notes on Representation  Large Numbers
 Math in the Comics  part 1
 General Purpose and Special Purpose Tools
 Notes on Representation  Tally Marks
 Running the Math Gauntlet
 Notes on Divisibility  Common Divisors
 Math in the Comics  part 5
 Quantity  Different Kinds of Numbers: Intervals
 Key Math Ideas Not Taught In School
 Mathematical Notation and Schools  2

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 Mathematical Notation and Schools – 2
 Mathematical Notation and Schools: The Series
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Monthly Archives: April 2009
What is Multiplication – part X
Yesterday, in the supermarket, a customer dumped a whole basket full of power bars on the counter. The checkout counter person started to scan them in, one by one. After seeing about seven of them scanned, with a lot more … Continue reading
Posted in Uncategorized
Tagged denominations, math class, models, puzzle, representations, reverse engineering, unlearning
2 Comments
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
What is Multiplication – part VIII
In this series of posts, we looked at various embodiments of multiplicative structure. Each involves ideas about multiplication. How are these ideas learned? From reading this blog, you will have gathered that I mean the question “how is an idea … Continue reading
Posted in Uncategorized
Tagged extending patterns, invariants, models, naming, representations, unlearning
2 Comments
What is Multiplication – part VII
In the prior post we looked at the array model for multiplication. At least, this is the way we usually talk about it: as if it is already clear what multiplication is, and we just want a way to show … Continue reading
Posted in Uncategorized
Tagged denominations, extending patterns, invariants, models, naming, representations, unlearning
1 Comment
What is Multiplication – part VI
In our series of posts looking at multiplicative structures I wouldnt want to leave out what is often called the area model, though I think array model is a better fit. As I suggested in a prior post, the notion … Continue reading
Posted in Uncategorized
Tagged denominations, extending patterns, invariants, models, naming, representations, unlearning
3 Comments
What is Multiplication – part V
Numbers provide a way to mark events. This can usually be done in more than one way. We can “slice” reality in more than one way. The picture above shows a common way to look at a single stock on … Continue reading
Posted in Uncategorized
Tagged denominations, extending patterns, gauntlet, math class, models, naming, representations, unlearning
1 Comment
What is Multiplication – part IV
In the previous post we looked at man hours. Man hours are strange beasts – but not too strange – that represent the result of multiplying men and hours. They make sense in the context of billing, and when sizing … Continue reading
Posted in Uncategorized
Tagged denominations, models, naming, representations, unlearning
3 Comments
What is Multiplication – part III
In the first installment of this series we looked at multiplication as what happens when you have a number of groups and each group consists of an equal number of members. Our example was 3 rolls of Mentos, where each … Continue reading
Posted in Uncategorized
Tagged extending patterns, invariants, models, naming, representations, unlearning
3 Comments