PTA I am working with small groups of pupils and yet I choose to work on complex situations because it is precisely which is problematic for these students. Indeed, most pupils can develop mechanisms but have great difficulty in knowing when and how to implement them in a complex situation. Marie-Jeanne Perrin-Glorian describes the following difficulties in students weak in mathematics:
- The difficulty of changing point of view, to consider two relationships at the same time, to reuse in another context, a concept discussed in a different context.
- The idea that we know or we do not know instead of considering the idea that one can approach the solution, solve a neighbor who lets move on problem sought.
- The search algorithms, which are economies of thinking, these students are building the operating rules that often do not take into account that some of the information and who have areas of very limited validity, even zero.
- These students do not know how to approach a problem, they seem to lack the complex situations of reference which causes them to fall back on looking for an action to perform or rule to apply. They often take into account that some of the information and have difficulty organizing themselves to make a representation the problem.
- They can not usually establish a verification procedure that is different from a resolution procedure. (1)
But all these aspects are covered in just dealing with complex situations.
Edgar Morin also speaks of complex thinking in these terms: "What I call complex thought is that which overcomes the confusion, embarrassment and difficulty thinking of using operators and the Using a thought organizer: separating and connecting "(2). However, it is this complex thinking that is lacking in pupils Math.
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(1) Perrin-Glorian MJ (1993): Issues arising from teaching mathematics education in "low class" Research in Mathematics Education, No. 13/1.2.
(2) Edgar Morin Communication at the International Congress "Which University for Tomorrow? Towards a transdisciplinary evolution of the University" (Locarno, Switzerland, April 30 to May 2, 1997) article published in Motivation, No. 24, 1997.
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