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COGNITIVE UNITS
A cognitive unit is a piece of information we can hold consciously in our focus of attention, together with all the links (many of which are unconscious) that can be made to other parts of our cognitive structure.
COGNITIVE UNITS AND COGNITIVE ROOTS
1997d (with Tony Barnard), Cognitive Units, Connections and Mathematical Proof, Proceedings of PME 21, Finland. [the first paper on cognitive units.]
1999d (with Lillie Crowley), The Roles of Cognitive Units, Connections and Procedures in achieving Goals in College Algebra. In O. Zaslavsky (Ed.), Proceedings of the 23rd Conference of PME, Haifa, Israel, 2, 225–232.
1999e (with Phil DeMarois), Function: Organizing Principle or Cognitive Root? In O. Zaslavsky (Ed.), Proceedings of the 23rd Conference of PME, Haifa, Israel, 2, 257–264.
1999f (with Mercedes McGowen), Concept Maps & Schematic Diagrams as Devices for Documenting the Growth of Mathematical Knowledge. In O. Zaslavsky (Ed.), Proceedings of the 23rd Conference of PME, Haifa, Israel, 3, 281–288.
2000e (with Mercedes McGowen and Phil DeMarois), Using the Function Machine as a Cognitive Root for building a rich concept image of the Function Concept, Proceedings of PME-NA, 1, 247-254.
2000d (with Mercedes McGowen and Phil DeMarois), The Function Machine as a Cognitive Root for the Function Concept, Proceedings of PME-NA, 1, 255-261.
2001d (with Tony Barnard) A Comparative Study of Cognitive Units in Mathematical Thinking, PME 25(with Tony Barnard), 2001h (with Lillie Crowley) Attainment and Potential: Procedures, Cognitive Kit-Bags and Cognitive Units, PME 25
2001, draft, with Tony Barnard: Cognitive Units, Connections and Compression in Mathematical Thinking. (submitted December 12 2001).
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