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Tag Archives: recurrence relationship
Mathematical Notation and Schools – 13
Functions: Standard Notation and Schools, Continued In this series, we’ve done a review of mathematical notation, with an eye on how each notation helps or hinders student learning. In the previous post, we started to explore function notation, which in … Continue reading
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Tagged black box, education, equivalence, math class, naming, notation, recurrence relationship, representations
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Mathematical Notation and Schools – 12
Functions: Standard Notation and Schools In this series, we’ve done a review of mathematical notation, with an eye on how each notation helps or hinders student learning. The focus here is modest: on what teachers can do, even if their … Continue reading
Posted in Uncategorized
Tagged education, math class, naming, notation, recurrence relationship, representations
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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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Tagged black box, denominations, equivalence, extending patterns, invariants, lookup, models, naming, recurrence relationship, representations
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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
Posted in Uncategorized
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 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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Tagged black box, equivalence, extending patterns, invariants, recurrence relationship, representations
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