Learning mathematics is as much a matter of psychology as it is of intellectual understanding. A 1987 book on the psychology of mathematics by Richard Skemp suggests that students limit themselves with their beliefs about their mathematical ability.
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As far back as 1929, studies were being done to assess the effects of oversaturation of mathematical education on children's mathematical knowledge.
I rather think it's oversaturation of certain media nowadays which early inhibit basic mathematical knowledge and spiritual affection toward this 'highly intellectual' subject.
With the abolition of slide-rules, tables of logarithms and the introduction of electronic calculators, the urge to think about dimensions ceased.
That is why, a lot of people virtually have 'an empty brain for math'. Without their external e-brains, the calculator, the computer they feel somewhat of being lost. Getting or being lost causes fears.
- 2 votes
That is an interesting thought and probably very valid. Students would very easily become dependent on their machine to do all of the lifting. That would be a problem-solver-killer. Besides which the mental effort to work through math has benefits that affect the totality of the student throughout their life. In what grade do they let children use calculators, when studying math these days?
- 1 vote
I'm not quite sure about that. I assume that they start using the calc as early as grade 5 (after primary school), perhaps even earlier at home.
With their cell phones the pupils get from their parents at stage of primary school, I wouldn't be astonished that they quickly figure out all the neat features provided with the gadget, even the calc mode.
At Bavarian grammar schools, the pupils aren't supposed to use the calc prior to grade 8, and they aren't allowed to use CAS calcs or calcs that may display graphics or run routines; exception in calc usage for natural sciences / technology beginning with grade 7.
With the help of the 'e-brain', the pupils and even adults rather think they may handle any technical problems without difficulty. That's virtual reality.
In terms of engineering, natural sciences, medicine, applied sciences (like economics), the students are often required to make an math analysis of the inherent errors, given by values measured or defined. In these cases, you often get hair-raising results due to lack of basic math.
- 1 vote
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