Tag Archives: representations

Operators, Functions, and Properties – part 35

In the previous post of this series, we looked more closely at the mathematical notion of equivalence, through the lens of operators.   Specifically, we looked at a split (pair) 2|13 and then looked at an operator that turns 2|13 into … Continue reading

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Operators, Functions, and Properties – part 34

In the previous post in this series, we looked at some operators that take in two numbers and produce some kind of pair of numbers, an ordered pair, in a way that can be reversed. Here’s another way to produce … Continue reading

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Operators, Functions, and Properties – part 32

In this series, we’ve been looking at a model for presenting and analyzing operators with an intention for it to have applications for students learning math in school.  In recent posts, we’ve looked for  interesting aspects of school math that … Continue reading

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Operators, Functions, and Properties – part 29

In this series, we’ve been looking at simple machines where pushing a button invokes an operator that changes the state of the machine.  Stopwatches, coffee makers, calculators are all examples of such machines – some simpler than others.  Many of … Continue reading

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Operators, Functions, and Properties – part 28

The prior post in this series showed that we can get complex and rich behavior from combining simple operators and feeding their output back to their input (through what is called “state”, and the whole arrangement is known as a … Continue reading

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Operators, Functions, and Properties – part 26

In the previous post in this series, we linked two state machines together, weakly, by arranging to press their Start buttons at the same time and to press their Next buttons at the same time.  As a result, we got … Continue reading

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Operators, Functions, and Properties – part 25

In this series, we’ve looked at operators in various ways.  Recently, we’ve looked at state machines that invoke the same operator repeatedly, and generate a sequence of numbers in doing so.  Conversely, sequences of numbers can often be modeled as … Continue reading

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