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Miller, Donna L. – Phi Delta Kappan, 2013
Although the human mind resists confusion, this feeling of disequilibrium nurtures learning. Newkirk, the author quotes, says intelligence is not a matter of being smart--it is the capacity to view difficulty as an opportunity to stop, reassess, and employ strategies for making sense of problems. These same habits of mind define reflection, a…
Descriptors: Cognitive Processes, Problem Solving, Reflection, Attitudes
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
Funk, Carole – Phi Delta Kappan, 2003
Instead of teaching his fifth-graders a formula, a teacher leads them to discover an important mathematical concept on their own. Learning through discovery is probably the very essence of meaningful understanding and retention. (Author/MLF)
Descriptors: Discovery Learning, Elementary Education, Grade 5, Mathematics Education
Weaver, W. Timothy; Prince, George M. – Phi Delta Kappan, 1990
Synectics is a creative problem-solving process carrying participants from problem analysis to the generation and development of new ideas. The system recognizes three types of thinkers: apposite, divergent, and generative. Effective thinking is often limited by maintaining inflexible criteria concerning thinking, insisting on literal meaning,…
Descriptors: Creative Thinking, Critical Thinking, Discovery Learning, Elementary Secondary Education
Elliott, Rebekah; Borko, Hilda – Phi Delta Kappan, 1999
Describes experiences of two elementary math teachers, whose dynamic, hands-on teaching techniques were at odds with components of the Kentucky Instructional Results Information System (KIRIS). Despite these teachers' successful efforts, the new Commonwealth Accountability and Testing System (CATS) replacing KIRIS will not contain portfolios. (12…
Descriptors: Accountability, Discovery Learning, Elementary Education, Grade 4
Bracey, Gerald W. – Phi Delta Kappan, 1998
A videotape series produced by the Annenberg/CPB Math and Science Collection demonstrates college and secondary students' misconceptions about everyday phenomena and advocates teaching for understanding. Third International Science and Mathematic Study data show American and German teachers' interest in procedures and algorithms, compared with…
Descriptors: Comparative Education, Cultural Differences, Discovery Learning, Educational Principles