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Morris, Anne K. – Focus on Learning Problems in Mathematics, 1999
Examines students' understanding of the quantitative relationships, operations, and properties of relationships and operations that are introduced in arithmetic and beginning algebra courses. Develops alternative approaches to the teaching of structure such as the structural-to-computational model and the procedural-to-structural model. Concludes…
Descriptors: Algebra, Arithmetic, Elementary Secondary Education, Mathematics Instruction
Kaur, Berinderjeet; Sharon, Boey Huey Peng – Focus on Learning Problems in Mathematics, 1994
An algebra test administered to (n=18) first-year college students found a disregard for negative numbers, ineffective use of counterexamples, misapplication of rules, and a lack of a good grasp of relevant mathematical terminology. (12 references) (MKR)
Descriptors: Algebra, Algorithms, College Freshmen, Foreign Countries
Johnson, Ellie – Focus on Learning Problems in Mathematics, 1985
Illustrated first is the case in which a wrong procedure (with fractions) leads to a correct result. Trying to justify why it works in this case and looking for similar patterns involved interesting algebraic considerations as well as use of computers. (MNS)
Descriptors: Algebra, Computer Software, Diagnostic Teaching, Educational Research