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Aldridge, Bill G. – Focus on Learning Problems in Mathematics, 1994
Provides a categorization of the processes and products of science and discusses the need for science educators to provide quantitative and symbolic understandings of science using the mathematical ideas of symbols, proportions and scaling, and axiomatic methods of inductive and deductive proof. (MKR)
Descriptors: Mathematics Education, Proof (Mathematics), Ratios (Mathematics), Science Education
Piel, John A.; Green, Michael – Focus on Learning Problems in Mathematics, 1994
Argues that intuitive and computational knowledge can be combined by focusing more explicitly on referential and quantitative meanings in division of fractions problems. Recommends teaching mathematics as problem solving, communication, reasoning, and connections to help students overcome misunderstandings and connect their intuitive knowledge…
Descriptors: Computation, Division, Education Majors, Fractions