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RE: Do Companies Purposely Mislead?
Love how you showed your work with your math. You are right about social media and statistics. I hate statistics because they are never truly accurate. They are only accurate in the small population they were taken in, and not indicative of what is truly going on in the masses. Though I am too guilty of using stats when trying to prove a point, though I do try to find the most recent stats
Thanks tecnosgirl. Showing my work is just my "teacher side" at work...practice what you preach, right?
I always hated showing my work, because my teachers hated my short cuts that my uncle and dad taught me using 9s when I was small because I had trouble with math, and I would spend hours showing work that my teachers wanted that wasn't the way I was getting the answers but even if I had the right answer I would get marked partly wrong if I didn't do it the way they wanted it. Though I think now days that it would be different I would like to think teaching has evolved since I was little.
I think now-a-days it depends on the teacher. There's multiple ways to get a solution and different ways students learn and understand.
For example, there are 3 ways to solve a quadratic.
1). Graphing and finding the intersections
2). Quadratic formula
3). Factoring and solving
I was never concerned with which method a student chose. The process and understanding is more important than the solution in my opinion (at least when learning the content in school).
And personally for my classes, I LOVE when students have shortcuts. It shows that they're thinking and learning outside of the classroom. I'd make them share the shortcuts in class too because you never know if that one way will click better for another student (provided the shortcut is mathematically correct).
But the reason for me to want to see work was to GIVE credit, not take away credit. I'm assessing what they know, NOT what don't they know (well, to an extent...yes I want to know what they don't know so that I could re-teach).
But what I mean is, if you just put down a solution, and nothing else, and the solution was wrong, I couldn't tell where the mistake was made or see the thought process.
Versus when they show their work, I could see "Ah ha...you just forgot a decimal, or "you had the correct answer but just plugged it in wrong on a calculator", or "you simply forgot a negative sign". To me, it shows you knew what you were doing and I'm more interested in how the student worked out the problem, not what their final answer is.
I do see your point, and it is a little bit of a balancing act to allow students some freedom to work it they're own way, but also in some way showing how they worked through it.
Does that make sense?
Makes complete sense, my dad use to tell me there are multiple ways for you to get to school they are all the correct way because you get there. The same things with problems in math and in life, just because someone does it a different way doesn't mean it is wrong.