European Research in Mathematics Education I - Fakultät für ...

European Research in Mathematics Education I 8
Mathematical proof .............................128
Argumentation in mathematics .......................129
Reference corpus ..............................130
Tools of analysis and comparison of argumentation and proof .......130
Analysis and comparison of argumentation and proof as products .......131
About the reference corpus .........................131
How to dispel doubts about a statement and the form of reasoning. ....133
The processes of argumentation and construction of proof ...........135
Some educational implications ..........................137
References ....................................139
DISCRETE MATHEMATICS IN RELATION TO LEARNING AND TEACHING
PROOF AND MODELLING ..........................140
Denise Grenier, Charles Payan
What are discrete mathematics? .........................140
Didactical transposition of discrete mathematics in France ...........141
Global research questions ............................144
Proof and modelization in discrete mathematics. ................145
An example of proof method: induction ..................145
Two examples of modelization .......................147
A particular tool: the pigeonholes principle .................149
Conclusion ....................................151
References ....................................151
STUDENT'S PERFORMANCE IN PROVING: COMPETENCE OR
CURRICULUM? .................................153
Lulu Healy, Celia Hoyles
Aims .......................................153
Method ......................................154
Results ......................................154
Some contrasting views of proof .........................157
Discussion ....................................165
References ....................................166
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