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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
Konvisser, Marc – Focus on Learning Problems in Mathematics, 1989
Discusses a technique for graphically composing functions. Describes three-step composition procedures in two- and three-dimensional rectangular coordinate systems. Provides three examples. (YP)
Descriptors: Algebra, Functions (Mathematics), Mathematical Concepts, Mathematical Enrichment
Harel, Guershon – Focus on Learning Problems in Mathematics, 1989
Describes learning difficulties students may have with the basic notions of linear algebra and three phases of abstraction. Discusses results of a program based on the abstraction process. (YP)
Descriptors: Algebra, College Mathematics, Mathematical Concepts, Mathematics Education
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
Tall, David; Thomas, Michael – Focus on Learning Problems in Mathematics, 1989
Discusses the use of the computer to encourage a versatile approach to learning involving both symbolic/logical and visual/holistic types of mental activity. Provides experimental data showing the effect of an enhanced Socratic mode of teaching. (YP)
Descriptors: Algebra, Cognitive Style, Computer Assisted Instruction, Computer Oriented Programs