12امين کنگره بينالمللی آموزش رياضی ICMI 12
1. Issues related to early algebra, like what is its nature; children’s capabilities in thinking algebraically and dealing with symbols; early algebra’s contribution to children’s later understanding of middle/ secondary school algebra; challenges involved in doing “early algebra” in the classroom: what works, what does not.
2. Issues related to the use of ITC in algebra classrooms, like affordances and challenges of using ITC for teaching and learning of algebra; effective use of ITC; similarities and differences in the nature of paper-and-pencil based algebra and ITC based algebra; its contribution to our understanding of students’ thinking about algebra and development of algebraic thinking among students, including understanding of symbols and their manipulation.
3. Issues related to proof and proving, like students’ understanding of proof in algebra; difficulties which students face in the process of proving; how do ideas of proof and proving develop among students; cognitive processes which help in the process; role of representations and understanding of goal/ task; role of language and communication; classroom environments and tasks which help in developing these ideas, role of ITC.
4. Issues related to problem solving, like how to inculcate problem solving skills; students’ difficulties with solving problems; thinking processes which lead to successful/ unsuccessful problem solving; role of representations, symbols and symbolic manipulation, role of ITC.
5. Issues related to the process of generalization, like student’s use of representations and gestures to explore and express patterns; difficulties which students face in the process of generalizing; student’s understanding of generalizations expressed either verbally or symbolically; the use of generic examples versus successions of particular cases in generalization processes; generalization and abstraction.
6. Issues related to ways in which semiotics helps us understand the processes of communicating and signifying in the teaching and learning of algebra in which the elaboration and use of new sign systems are involved, students’ developing ideas about algebraic symbols, meaning making of new symbols.