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Karplus, Robert2
Kurtz, Barry1
Wollman, Warren1
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Wollman, Warren; Karplus, Robert – School Science and Mathematics, 1974
A total of 450 seventh and eighth graders responded to six tasks requiring proportional reasoning and representing different degrees of concreteness. Results showed that more students answered questions correctly when concrete aspects existed, and that about one-fourth of the group was unpredictable in applying proportional reasoning at the formal…
Descriptors: Cognitive Development, Grade 7, Grade 8, Instruction
Peer reviewed Peer reviewed
Kurtz, Barry; Karplus, Robert – School Science and Mathematics, 1979
This research study shows that it is possible to advance the use of proportional reasoning of many secondary school students by means of a well-designed teaching program. (MP)
Descriptors: Abstract Reasoning, Algebra, Cognitive Development, Educational Research