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Misconception about simple notion in arithmetic are not readily given up. so for example, a child who believes that 1/4 is larger than 1/2 will not let go of this misconception when he or she gets back an assignment full of red correction marks. the child will let go of this misconception when he or she fully understands fraction. so, how 's this understanding developped ?
i think this situation is partly caused by the practice in many schools of teaching mathematics by rote. in other words, children are taught to memorize a formula, to practice using that formula, and go on the next one. children start to believe math is boring and work through problems without understanding the nature of the concepts. so what happens , is that kids can work a problem only if they remember the formula. using the rote method of teaching doesn't take into account the child's pre-knowledge, or informal knowledge, of mathematics.
even a small child can tell the difference between a whole cookie and a half cookie. so using this informal knowledge is a very important part of helping children learn fraction or other math concepts. teacher tend to forget they must put these concepts into daily situation that children can relate to.

you are totally right

Reminds me of us trying to convince my older sister that a half of a half was not a whole. 5 years older btw. Math was never her best subject, we still kid her about that, and I'm not really sure she even understands now.

i understand and can do algebra...but i never understood why you have to have it in everyday life. why do you put a letter in there when you have a perfectly good number to use

Because , everyone of us has link with that in certain daily tasks

really........what? i have never used it outside of school

whenever you draw money from your account.

sorry i just used subtraction or addition but mainly subtraction

thanks so much because you got me know. i'll take a rest

you dont have to have it in every day life

as a matter of fact, matj is all around you every single day of your life
being you aware of it or not
but undertanding algebra and the reazon of the letters there wneh we can have a number helps to develop the logical way of thinking

thank you now i get it

could never do math problems. Like when a train leaves a certain point and another a certain point etc. where do they meet? One time I turned in my paper with I do not know and I do not care.

as today is your chance , you've got it. i'll have my chance, too.