i was a tutor in high school, and got paid by the university mathematics lab to do that at the university level…
i honestly have problems with “how” math is presented to people by most math teachers.
“math anxiety” is a real condition… a lot of people can do a lot better in math, and a number of factors co-incide to conspire to ruin it for most people.
1) it starts at the gradeschool level… kids making fun of other kids that do well in math. Its “sissyfied”, etc etc. Most of the kids seem to get this off of their parents. “Heck, I done never grad-i-dated da 8th grade? and i makes me 42 dollars an hour…. get yer nose out dat dere book, and you learns sumpin’, kiddo…. (spit for emphasis)”
2) many parents used to have some WEIRD idea that you could scare and punish a kid into “doing well” in school… IE, the kid brings home straight As, and they get 20 bucks… the next time? they bring the straight As home, and wonder how much money they will get? “well, see, now i know you can DO IT, if you dont get all As now? you get a beating…”
all THIS does in create anxiety.
3) most math teachers dont HELP ANY. Theres a very common teaching strategy, where the material is presented “this way” and thats the “correct way”… to THAT teacher. Another common strategy is for teachers to think they are “better” and “harder” by assigning hundreds of homework problems on every style of problem. Its a retarded approach.
4) showing students how to do ONE problem, then assigning a hundred identical problems for homework? isnt terribly helpful… the kids are memorizing one WAY to do one KIND of problem… and forgetting it as soon as they can.
5) I was hearing a “lot” about this “new math” stuff… i finally had parents show me what was going on in the classroom. I honestly cant fathom who created this “teaching method” its complete poop. This crap is being taught by the “gradeschool teachers”, and, my university had a large teaching department… by and large almost ALL the gradeschool student teachers? were helpless in the little math they had to demonstrate to pass the university gradeschool education program… and THESE halfwits are responsible for teaching the foundations of MATH to your children in america… its insane. Most of my tutoring in the university mathematics lab, was spoonfeeding these future gradeschool teachers… most of whom? started OUT wanting to be high school teahers, couldnt hack the basic math, and fell back into gradeschool education.
6) most math concepts? tend to have two (or more) different approaches to teaching it… most teachers use “whatever one they like” and either dont know the other(s) or simply skip it. MOST of my students i tutored? when i showed them “the other way” would pick it up quickly and easily. I DONT KNOW why more math teachers dont use this approach.
7) MOST otherwise normal to good students? actually do FINE with using math… the problem comes for test time… they get anxiety, they get scared, they freeze up. When i get them in the mathematics lab? they do the work FINE, they freeze up when you put therm ON THE SPOT and on a TIME LIMIT.
8) Getting a good grade in a higher math class? Is obviously needed to keep going onto more of it… but… USING math, in a relaxed and practical way? is more USEFUL…
so? lets begin to LIST all of the problems? there are M-A-N-Y… and we wonder why people being good at higher math is so rare…
getting a good GRADE in math, and… being able to USE IT to solve a real problem? are 2 complete different things.
I was a more or less “B student” at university in my heavy higher math courses… i would constantly run into smug “memorize everything, straight A students” who would laugh and spit out equations i didnt memorize… but, they couldnt solve problems in a real world creative fashion… but they are WONDERFUL at memorizing equations, and MEMORIZING how to do practice problems…
give them a complicated “no clear way to do it” problem with math? they flounder just like the students that cant do math…
its always or usually possible? to USE a higher math than you are capable of… simply by finding the right equations, and maybe getting someone to boil it down to a plug-in cookbook….
PRACTICAL results matter more than any grade you ever get.
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math anxiety? people get basically “scared” and get butterflies, similar to what a fighter gets before a “match”… most times, when you take the TIMED grading aspect out of it?? people can sit and think, and remain calm… and slowly figure out a way out of the real life math problem…. where TIME doesnt matter. I dont care if it tales me a WEEK to restructure an equation so i can just use USE IT in a practical way after that…
for a country that wishes more people were comfortable with higher math? society and the education system pretty much go about it in such a way as to completely ruin it and try to get the worst results overall. Even professionals that are doing well in it? are just going thru the motions, to get through it… which serves no practical purpose in the end.
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i taught some people the basics of FIGHTING too before? its about the same thing… all the same problems with the WAY everyone goes about teaching it…