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Tag Archives: sieve
Notes on Lookup – Another Sieve for the Collatz Problem
This post is a followup on an earlier post in which I introduced the Collatz Problem and designed a sieve that systematically builds solutions and is very efficient in the work it does. In this post, I’ll give a version … Continue reading
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Tagged extending patterns, lookup, models, recurrence relationship, representations, sieve
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Notes on Lookup – Histograms as Sieves
I think I overlooked one interesting example of something like a sieve being used in the typical K12 math curriculum, and this post is intended to remedy that. It is possible and instructive to look at a histogram as a … Continue reading
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Tagged denominations, lookup, math class, models, representations, sieve, sorting
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Notes on Lookup – A Sieve for the Collatz Problem
This post is meant as a followup on this one on lookup and sieves, not on my more recent one pondering the diminished status of lookup in K12 math. I’ve been playing with different ways to use a sieve to … Continue reading
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Tagged extending patterns, models, naming, recurrence relationship, representations, reverse engineering, sieve
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Notes on Lookup – Eratosthenes and Other Sieves
The best known sieve in mathematics is the sieve of Eratosthenes, used for finding a collection of prime numbers. In an earlier post I described a version of that sieve that finds all divisors (and not just whether a number … Continue reading
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Tagged extending patterns, lookup, models, recurrence relationship, reverse engineering, sieve
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Notes on Divisibility – Eratosthenes and Euclid
You will want to read the Notes on Divisibility post first. In the figure below, I’ve shown the first 22 mile markers, and the red marks on each. Skip counting by twos leads to the red “2” marks, skip counting … Continue reading
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Tagged denominations, extending patterns, lookup, models, naming, recurrence relationship, sieve
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