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
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 Mathematical Notation and Schools – 2
 Mathematical Notation and Schools: The Series
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Monthly Archives: May 2010
Operators, Functions, and Properties – part 5
In earlier parts of this series, we have talked about devices that change their state when you press some button. Such devices are both very normal and very common. A very simple example of this is a counter, where the … Continue reading
Representations – Black Boxes – Equivalence 2
We ended the previous post in this series by looking at this figure: To recap, a black box is something where we have access to the behavior but not the internal organization. We can propose a model for a black … Continue reading
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Tagged black box, denominations, equivalence, extending patterns, models, representations, reverse engineering, unlearning
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Operators, Functions, and Properties – part 4
In the two previous posts in this series, we looked at decidedly different models that each could explain the same simple external behavior. To recap, we have been looking at internal models for a device that looks like this: and … Continue reading
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Tagged black box, extending patterns, models, representations, reverse engineering, state
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Operators, Functions, and Properties – part 3
In this series we’ve been looking at operators and the models upon which they operate. We started by introducing a simple device like the one pictured below: where every time the red button is pushed, the single digit on the … Continue reading
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Operators, Functions, and Properties – part 2
In the previous post I introduced the idea of a device like the one pictured below: where the single digit on the little screen was observed to cycle through a repeating pattern every time the red button is pushed, as … Continue reading
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Tagged extending patterns, models, representations, reverse engineering, state
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