Comments on: Intuition for Slope-Intercept Form https://betterexplained.com/articles/intuition-for-slope-intercept-form/ Math lessons that click Sat, 04 Aug 2018 21:59:00 +0000 hourly 1 By: Miguel Angel Perez Aviles https://betterexplained.com/articles/intuition-for-slope-intercept-form/#comment-346653 Sat, 04 Aug 2018 21:59:00 +0000 https://betterexplained.com/?p=11620#comment-346653 Interesting. I like it! Good job

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By: Jayasree Mangalagiri https://betterexplained.com/articles/intuition-for-slope-intercept-form/#comment-346428 Thu, 02 Aug 2018 20:45:00 +0000 https://betterexplained.com/?p=11620#comment-346428 Good one again!
Thank You

I think that the Math pros should lobby for a uniform notation. For example in linear equations
y = ax+b ( going by the calculator notation) “b” is the beginning point and “a” is the rate of change and in exponential equation y = a(b)^x , “a” is all of a sudden the beginning point AKA initial value and “b” is now the rate of change.
Time for change, no?

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By: aldiper https://betterexplained.com/articles/intuition-for-slope-intercept-form/#comment-346374 Thu, 02 Aug 2018 08:05:00 +0000 https://betterexplained.com/?p=11620#comment-346374 Great way to alter the formula so that it actually makes sense, i.e. cause and effect are more naturally presented: “You begin here, you travel at a certain speed, for a certain length of time, and you end up here.” Nice!

Making “b” stand for “beginning point” was a great move, and an approach to notation that schools should adopt. There is no reason why “m” should stand for “slope”. It is confusing and, since no-body knows why it is used, it just re-enforces the seemingly arbitrary nature of mathematics.

b + s*t = p

where: b = “beginning point”, s = “speed”, t = “time” and p = “position”

(You could generalise time and position to arbitrary “x” and “y”, once students got comfortable with graphing physical things that they are familiar with. Rather than jumping straight into Cartesian geometry with no physical reference points, as happened to me)

A funny quote on using “m” for slope:

“When lecturing before an analytic geometry class during the early part of the course,” he writes, “one may say: ‘We designate the slope of a line by m, because the word slope starts with the letter m; I know of no better reason.’ ”
– Howard W. Eves

(From: https://www.grammarphobia.com/blog/2010/11/slope-symbol.html)

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By: kalid https://betterexplained.com/articles/intuition-for-slope-intercept-form/#comment-346320 Wed, 01 Aug 2018 20:01:00 +0000 https://betterexplained.com/?p=11620#comment-346320 In reply to Ciro Alberto Sanchez.

Thanks!

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