The Mathematics Education Student Association
invites you to the colloquium:


"A Definition of “Mathematics” and Its

Pedagogical Consequences; Focus on the Transition between the Empirical Proof Schemes to the Deductive Proof Schemes"




Dr. Guershon Harel

University of California, San Diego


Current teaching practices tend to view mathematics in terms of subject matter, such as definitions, theorems, proofs, problems and their solutions, not in terms of the conceptual tools that are necessary to construct such mathematical objects. This talk has two main goals: The first goal is to define these two categories of knowledge and explain why both categories are needed. The definitions and explanations are oriented within a theoretical perspective called DNR-based instruction in mathematics. Central to DNR is the distinction between way of understanding and way of thinking and the definition of “mathematics” in terms of these two constructs. The second goal is to discuss curricular and instructional implications of this definition to the learning and teaching of proof, more specifically, to the transition from empirical roof schemes to deductive proof schemes.


Friday, April 13, 2007

1:00 – 2:30 pm

Rm 409/412 Aderhold Hall


*****Refreshments Will Be Served*****


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