Category Archives: Uncategorized

Mathematical Notation and Schools: The Series

Here’s a summary of the series (thus far) of posts on mathematical notation, with links. This allows you to read them in order, from oldest to most recent. In this series, I’m investigating variations of standard mathematical notation, with an … Continue reading

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Mathematical Notation and Schools – 1

Notations for negative numbers This blog entry marks the start of a series about mathematical notation and its uses in school.  I intend to look in detail at aspects of the standard mathematical notations, and how these help or hinder … Continue reading

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Operators, Functions, and Properties – part 43

In the last several posts in this series, we’ve looked at cyclical patterns of behavior of numbers and operators.  For example, in the previous post we saw that when counting up, the last digit of a number consistently repeats after … Continue reading

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Operators, Functions, and Properties – part 42

In this series, we’ve been looking at black boxes, where you put something in and something comes out.  From looking at its behavior, you can often propose a model for what is happening inside.  If you build the model, and … Continue reading

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Operators, Functions, and Properties – part 41

In this series, we’ve pictured operators as black boxes with inputs and outputs.  In the previous post we looked at rather ordinary addition from a less ordinary perspective: we imagined the number line arranged as a cylindrical spiral, like a … Continue reading

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Operators, Functions, and Properties – part 40

In this series, we’ve spent considerable space playing with operators, which we’ve pictured as black boxes with inputs and outputs, often as part of a machine with state.  In more recent posts, e.g. this one , we’ve looked at operators … Continue reading

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Operators, Functions, and Properties – part 39

In this series, we’ve been looking at operators in various settings, and looked for ways to use them to shine a different colored light on some aspects school math.  In the last four posts, we’ve explored the notions of equivalence  … Continue reading

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