[Numeracy 279] Linking word- and number-based language
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Fri Apr 2 15:13:22 EDT 2010
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Hello Carol and everyone,
The word-based and number-based language link can be quite a task, can't it?
There is a fundamental difference between the terms quantities and magnitude. Quantities refer to count nouns (persons, places, things, and ideas). 1, 2, 3 people; 1, 2,3 cities; 1, 2, 3 cups of coffee; 1, 2, 3, insights, etc.). Magnitude(s), on the other hand, can refer both to count as well as non-count nouns (tons of love - a noncount noun in this case, vs. tons of coffee beans - a count noun in this case).
One of the characteristics of absolute values, at least for pedagogical purposes, is the use of numbers (math) to - ultimately - (to be able to) count, whether it be a sum, difference, product, or quotient that derives from performing operations on numbers (whether whole, part, or mixed).
The use of the term magnitude might be potentially confounding for a learner. Magnitude is a lower-frequency word, and to delve into its meaning while building mathematical awareness might pose a challenge for learners with limited cognitive underlying proficiency levels. We need to be sensitive to what we wish to accomplish both by teaching and the learning it may trigger.
Michael A. Gyori
Maui International Language School
From: Carol King <cking at lyon.k12.nv.us>
To: mmanly at earthlink.net; The Math and Numeracy Discussion List <numeracy at nifl.gov>
Sent: Thu, April 1, 2010 7:30:33 AM
Subject: [Numeracy 277] Re: Is an absolute value positive?
This leads me back to some of the confusion, while I really liked that example, you have now introduced the new term of magnitude into our discussion of absolute values which my text defines as the distance from 0 and it does not mention magnitudes at all. While I personally understand magnitude and I prefer that as the term for what absolute value is showing in the problem, if my struggling student was to try to use another source to help them they might also run into this language and they feel rather than being helped they are led down another rabbit hole. Why are there so many ways to express in language what this one concept is doing rather than a consistent method?
FernleyAdult Education Center
cking at lyon.k12.nv.us
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