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Martinez, Michael E. – Phi Delta Kappan, 1998
Many important human activities involve accomplishing goals without a script. There is no formula for true problem-solving. Heuristic, cognitive "rules of thumb" are the problem-solver's best guide. Learners should understand heuristic tools such as means-end analysis, working backwards, successive approximation, and external representation. Since…
Descriptors: Algorithms, Discovery Learning, Educational Games, Elementary Secondary Education
Burns, Marilyn – Phi Delta Kappan, 1994
Call for reforming mathematics teaching has been sounded loudly and strongly. Change from teaching standard algorithms to having children invent their own methods requires major pedagogical shift. Teachers must trust students' inventiveness and ability to make sense of numerical situations, be committed to thinking and reasoning as cornerstone of…
Descriptors: Algorithms, Arithmetic, Creative Thinking, Educational Change
Dempsey, Deirdre; Marshall, John – Phi Delta Kappan, 2001
An education major enrolled in a mathematics education course ponders confusing definitions of "multiplication" functions in dictionaries and in a handout on Euclid. This student teacher wants to teach elementary students what multiplication really is, not just impart an algorithmic skill. (MLH)
Descriptors: Algorithms, Definitions, Dictionaries, Education Majors