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History of mathematics' didactic
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Recording interview: René Thom, Dominique, Rosine...
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4th process:mimicking speech

The pupil interviewed is a 17-year-old boy who is very good at French and who says he just cannot do maths.  

Pupil: - There's a danger in doing maths.

Nimier: - What is this danger?

P: - The danger is that I am afraid, I got used to that. It is some sort of a state I am in, which has lasted for years, I feel confident in French and foreign languages, and I am not sure of myself at all.... I live in an insecure atmosphere in maths; so I can't get used to the idea of changing situations.

N: - What risk would you be running then?

P: - Yeah, I'm afraid of losing, it seems stupid, but I'm afraid of losing something or.... I think it's stupid. I think now there is some sort of balance, it's a bit like the principle of communicating vessels.

N: - You are afraid, if you got better at maths, you might lose something in the other subjects...

P: - Yeah, and it isn't possible to lose something just like that.... but that's the way I always feel, so... I've told myself again and again that it is stupid, and still...

N: - Is this why you don't feel like improving?

P: - Yeah, that's why, it seems stupid, but I say to myself....you'd better not get better at maths. And it's been that way for years, there is always this refusal.... so it's sort of a vicious circle, because the worse my marks got in maths, the better they got in French and foreign languages. You can see that on my reports, for sure.

There is a fantasy projected on mathematics, which is expressed through this methaphor of communicating vessels. But there is more, since a mimicking of the fantasy itself can also be found in the boy's speech. This mimicking continuously aims at keeping a balance between the cognitive and the emotional aspects, while at the same time, through this very process, creating a link between them by allowing them to continuously interact without either of them ever getting the upper hand (which would probably make the speaker feel in danger).

EMOTIONAL ASPECT
COGNITIVE ASPECT
1) I'm afraid of losing....

 

3) but I'm afraid of losing...

 

5) I think now there is some sort of balance

 

7) but that's the way I always feel

 

 

9) and still...

 

2) it seems a bit stupid...

 

4) I think it's stupid

 

6) and it isn't possible to lose something

 

8) I've told myself again and again that it is stupid

 

HOME PAGE
History of mathematics' didactic
What is the mental representation?
Matematical mental representation
Recording interview: René Thom, Dominique, Rosine...
Write to me
Author