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Tag Archives: deferred computation
Notes on Embedding
“Embedding” is one of those mathematics ideas that is really simple but we manage to make it seem really complicated. Typically, the first time somebody studying mathematics hears or uses the term is well into their university studies. And yet … Continue reading
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Tagged deferred computation, denominations, extending patterns, models, naming, representations, unlearning
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Notes on Representation – Multiplication
People who went through school in prior generations typically were sure that multiplying two quantities is harder to do than adding those same quantities. My impression is that this perception hasn’t really changed with the widespread use of fourfunction calculators. … Continue reading
Posted in Uncategorized
Tagged deferred computation, extending patterns, models, representations, unlearning
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Notes on Representation – Large Numbers
In our normal decimal number system for representing quantities, we can usually tell pretty easily which numbers are larger. For example, if you see 412 and 409 together, you don’t have to do a lot of work to tell which … Continue reading
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Tagged deferred computation, denominations, extending patterns, models, naming, representations
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Notes on Representation – Prime Bags
In our normal decimal number system, we represent quantity by writing down pieces that are supposed to be added together: 23 has a twenty piece and a three piece, and together that makes twentythree. The basic building blocks in this … Continue reading
Posted in Uncategorized
Tagged deferred computation, denominations, models, naming, representations, unlearning
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Math and Fraction Keys
I have been around computers and calculators for much of my life. I remember mechanical calculators that looked like big industrial strength typewriters, and I remember when the first electronic calculator came out that offered a – would you believe … Continue reading
Deferred computation and Bluffing
by naming something you don’t know, you can tame it. in math, you can often bluff and live another day! it’s a respectable trick, worth learning Continue reading
Deferred Computation as an Access to Algebra
In the blog post Learning and Unlearning Math I suggested that it is natural for kids to assume that “+” in “5 + 7” is a call for action, namely to produce the one number that is the sum of … Continue reading