Knowledge base

From Yerme

The knowledge base of an individual refers to "information relevant to the mathematical situation or problem at hand" (Schoenfeld, 1992, p. 43), but also to the use and access of this information.

"Broadly speaking, aspects of the knowledge base relevant for competent performance in a domain include:

• informal and intuitive knowledge about the domain;
• facts, definitions, and the like;
• algorithmic procedures;
• sports online betting
• routine procedures;
• relevant competencies; and
• knowledge about the rules of discourse in the domain." (Schoenfeld, 1992, p. 45)

More recent literature adds the notion of conceptual understanding and procedural understanding:
Individuals can have conceptual understanding (Kilpatrick, Swafford, Findell, 2001) or procedural understanding (Muir, 2008) about mathematical ideas (facts and methods).

References

Kilpatrick, J., Swafford, J. & Findell, B. (2001). Adding It Up: Helping Children Learn Mathematics. Washington, DC: National Academy Press.

Muir, T., Beswick, K. & Williamson, J. (2008). “I’m not very good at solving problems”: An exploration of students’ problem solving behaviours. Journal of Mathematical Behaviour, 27, 228-241.

Schoenfeld, A.H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics. In D. Grouws (Ed.), Handbook for Research on Mathematics Teaching and Learning (pp. 334-370). New York: MacMillan.