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Ma, Xin – Focus on Learning Problems in Mathematics, 2000
Examines advanced students' course taking procedures and their senior year mathematics participation. Concludes that students who took early algebra demonstrated a substantially higher participation rate in advanced mathematics in the later grades of high school than students who did not. (Contains 25 references.) (ASK)
Descriptors: Advanced Students, Algebra, Calculus, Course Selection (Students)
Hoffer, Alan – Focus on Learning Problems in Mathematics, 1987
Using computers to provide diagnosis and remediation in mathematics is emphasized. Some essential features of technology-supported learning environments are discussed, as well as features that facilitate their use. Illustrated is a computer environment for learning algebra. (MNS)
Descriptors: Algebra, Computer Oriented Programs, Diagnostic Teaching, Mathematics Instruction
Borasi, Raffaella – Focus on Learning Problems in Mathematics, 1985
Several intuitive proofs for evaluating specific infinite expressions are given. Observations on intuition and errors in mathematics are included. (MNS)
Descriptors: Algebra, Diagnostic Teaching, Educational Research, Fractions
Movshovitz-Hadar, N.; And Others – Focus on Learning Problems in Mathematics, 1986
A collection of student distortions, represented by student-invented variations of theorems, are presented. They were drawn from examination papers of 17-year-old students in Israel. (MNS)
Descriptors: Algebra, Concept Formation, Educational Research, Error Patterns
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
Gordon, John T. – Focus on Learning Problems in Mathematics, 1988
Reports on a study to determine if having students write about the work required in doing three types of exercises from elementary algebraic fractions would affect the students' error patterns on quizzes. The study involved six developmental studies in elementary algebra classes. (PK)
Descriptors: Algebra, College Mathematics, Content Area Writing, Error Patterns
Rachlin, Sidney L.; And Others – Focus on Learning Problems in Mathematics, 1987
Describes a research methodology known as the teaching experiment and details an example of a teaching experiment aimed at the development of a process-oriented algebra curriculum. Addresses other possible variations of the teaching experiment, emphasizing the cooperation of teachers and researchers. (TW)
Descriptors: Algebra, Curriculum Development, Diagnostic Teaching, Experimenter Characteristics
Esty, Warren W. – Focus on Learning Problems in Mathematics, 1992
Describes the relationship between language concepts and the basic patterns of mathematical expressions. Suggests ways to improve the reading comprehension, writing ability, and reasoning skills of school and college students by integrating language topics into the mathematics curriculum. Discusses the use of language concepts in algebraic…
Descriptors: Abstract Reasoning, Algebra, Equations (Mathematics), Higher Education