Discussing the challenge of categorizising mathematical knowledge in mathematics research situations
Bridges: Mathematical Connections in Art, Music, and Science
Starting with a quotation describing mathematical research, this paper presents ways of providing students with comparable experiences in mathematical research, in the classroom. The paper focuses on the benefits and implications for the students of such experiences. “Real mathematics research-situations” are defined, and the didactical goals of these situations, as they are experienced are elaborated on. These elements are presented through examples, looking at similar situations (research situations) in two contexts and using different theoretical frameworks.
mathematical research situations , mathematical reasoning , experience of knowing , definition construction processes
Knoll, E., Ouvrier-Buffet, C. Discussing the challenge of categorizising mathematical knowledge in mathematics research situations, Fourth Congress of the European Society for Research in Mathematics Education, Sant Feliu de Guixols, Spain, 2005.