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RESTLE, FRANK – 1966
THE STUDIES REPORTED WERE ATTEMPTS TO LEARN THE INNER ARRANGEMENT OF DOING MATHEMATICS. MATHEMATICS WAS VIEWED AS A MATTER OF SOLVING PROBLEMS BY A SEQUENCE OF STEPS PERFORMED AS AN ALGORITHM. THE PROCESSES STUDIED WERE--(1) COUNTING OR ENUMERATING SETS, (2) SIMPLIFYING COMPLEX LOGICAL STATEMENTS, (3) ADDING LARGE NUMBERS, AND (4) MULTIPLYING.…
Descriptors: Cognitive Processes, College Students, Elementary School Students, Learning Processes
Mau, Sue; D'Ambrosio, Beatriz – Mathematics Teacher Education and Development, 2003
This article discusses three solutions to the "Tower of Hanoi" problem offered by students in a mathematics content course for prospective elementary school teachers. The course uses standards-based pedagogy and teaching via problem solving. Within this work, we consider the growth supported by collaboration at both the students' level…
Descriptors: Number Systems, Elementary School Teachers, Middle School Teachers, Mathematics