What percentage of high school students benefit from learning how to factor quadratic equations? (see fine print)
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Factor a quadralingual? As in like a triangle or whatever?
not very many, but it's important to make them learn anyways because we need objective measures of academic aptitude/attainment

I'm really trying to ask how many students benefit enough for it to be worth the time and effort of making them learn (i.e. is there net benefit)

Assume for the sake of this question that the alternative to making the student learn factoring would be allowing them to quietly chat, hang, and chillax with their classmates, not instructing them on some other valuable skill.

Ignore the direct benefit of passing high school math, they will get to magically pass and move on with their life even if they don't learn factoring.

Non-exhaustive list of potential benefits to consider:

  • Building of self esteem

  • Fostering skills related to logical reasoning and/or abstract thinking

  • Gaining skills/knowledge that will be later built on in university

  • Gaining prerequisite skills/knowledge for other topics in high school math that actually are useful

  • Impressing chicks

  • Learning life is cruel and that they must shut up put the fries in the bag

  • Becoming empowered to complete geometric calculations on scratch paper while sorting out the dimensions of a bird house they are making

  • Looking cool for girls

  • Realizing how fun parabolas actually are once you get to know them

  • Learning the language of god and comprehending the fundamental nature of reality itself

  • Getting attention from women

  • Being culturally enriched by knowledge passed down from their fore-bearers

  • It builds character

Non-exhaustive list of potential downsides to consider:

  • Damage to self esteem

  • Developing an antagonistic relationship with learning and education itself

  • Paper cuts

  • Boring and lame (false but included for completeness sake)

  • Garnering inconvenient amount of attention from attractive females

  • It's impolite to play God, if He wanted the quadratic factored He would have done it Himself, He's God He doesn't need our help with high school math

  • Uses up brain space that could be better spent memorizing more digits of pi or mentally simulating imaginary scenarios in which annoying people are hit with epic zingers

  • The crushing weight of expectations from a society that sees students as nothing more than raw material to be moulded into cogs for the machine

  • The stifling of creativity

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"You aren't going to have a factorising machine in your pocket all the time are you...?"

I'd suggest students, especially today, will benefit more from learning why to factorise a polynomial (and what that lets you do) than how...

@PaulBenjaminPhotographer skills are important, even rote skills can be! Automaticity frees up brainpower to consider more complicated mathematical concepts/problems without stumbling over the more simple constituent parts

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