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Tag Archives: models
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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Tagged denominations, extending patterns, invariants, models, naming, representations, reverse engineering
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Operators, Functions, and Properties – part 31
In the prior post in this series, we looked at the kind of operators typically encountered in school (K12), whether or not they are called operators. Many of them are single number input – single number output, but not all. … Continue reading
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Tagged black box, equivalence, models, naming, reverse engineering, whole vs. parts
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Operators, Functions, and Properties – part 30
In many of the posts in this series we’ve shown operators that work on a single number coming in and that produce a single number coming out. This is a hugely important subcategory of operators, but singlein singleout operators aren’t … Continue reading
Posted in Uncategorized
Tagged extending patterns, models, unlearning, whole vs. parts
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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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Tagged black box, equivalence, extending patterns, models, recurrence relationship, representations
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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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Tagged black box, equivalence, extending patterns, models, recurrence relationship, representations, reverse engineering
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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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Tagged black box, equivalence, extending patterns, models, recurrence relationship, representations, reverse engineering
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Operators, Functions, and Properties – part 24
In the previous post in this series, we started to model recurrence relationships with state machines: The idea is that we have a device with two buttons and a screen; after we press the Start button, we can press the … Continue reading
Operators, Functions, and Properties – part 23
In this series, we’ve been looking at operators as something that modifies the state of some machine or device, usually triggered by the pushing of a button. We’ve looked quite a bit at operators that operate on numbers, for example … Continue reading
Groupings, Shopping Lists, and Vectors: The Series
This is a series on vector algebra, but it hasn’t wrapped up yet. Here are the installments as of now: Quantity – Different Kinds of Numbers: Vectors – it really all started with this post. But I didn’t know it … Continue reading
Operators, Functions, and Properties – part 22
In this series, we’ve lately been modeling a fourfunction calculator as a state machine. A state machine moves from state to state based on operators that are invoked through button presses. Operators take their input, do something with it, and … Continue reading
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Tagged black box, equivalence, extending patterns, models, representations, reverse engineering
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