Pproof problems in elementary number theory: analysis of trainee teachers productions
Cusi, A., Malara, N.A. (2007). Proof problems in elementary number theory: analysis of trainee teachers productions
Our study involves a group of pre-service middle-school teachers
attending educational and training courses at our university. The aim is to classify their behaviour in solving a problem that requires the proof of a statement in elementary number theory not easy to be formalized. This study highlights mental blocks in those who are not able to create an algebraic model for the problem and widespread difficulties related to the impact of abilities both in translating algebraic expressions into the algebraic code and in interpreting algebraic expressions built during the construction of the proof in order to get to the thesis.