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Slesnick, Twila – Educational Studies in Mathematics, 1982
The hypothesis investigated is that understanding of the long division algorithm requires a higher cognitive level than understanding of fundamental division concepts. Sixth-grade children were tested on performance and understanding of a given algorithm and concepts of division. (MP)
Descriptors: Algorithms, Cognitive Development, Cognitive Processes, Division

Ter Heege, Hans – Educational Studies in Mathematics, 1978
The focus is upon the introduction of multiplication within the framework of an algorithm program. Analysis of some observations of student solutions to multiplication problems is included. (MN)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Grade 3

Streefland, Leen – Educational Studies in Mathematics, 1982
A process of teaching fractions is detailed that respects pupil ideas and concept images and builds on these in a way that helps children to develop personal algorithms. This approach is an attempt to get away from perceived one-sided views found in most textbooks. (MP)
Descriptors: Algorithms, Educational Research, Elementary Education, Elementary School Mathematics