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Vinner, Shlomo – Focus on Learning Problems in Mathematics, 1989
Investigates the extent to which visual considerations in calculus can be taught and be a natural part of college students' mathematical thinking. Recommends that the legitimacy of the visual approach in proofs and problem solving should be emphasized and that the visual interpretations of algebraic notions should be taught. (YP)
Descriptors: Calculus, College Mathematics, Graphs, Mathematical Concepts
Chandlet, Donald G.; Brosnan, Patricia A. – Focus on Learning Problems in Mathematics, 1994
Content analysis of 7 mathematics textbook series, grades 1-8, found that textbooks published after 1989 (when NCTM Standards were published) showed shifts of emphasis among content areas; changes in amount of content development, drill, word problems, and problem solving; and increased use of estimation and calculators. (13 references) (MKR)
Descriptors: Content Analysis, Educational Change, Elementary Secondary Education, Mathematical Concepts
Kaput, James J. – Focus on Learning Problems in Mathematics, 1989
Describes environments for concretely enacting multiplication and division. Discusses difficulties occurring when students use one of the concrete environments to model situations involving modified environments. (YP)
Descriptors: Cognitive Structures, Computer Assisted Instruction, Division, Elementary School Mathematics
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
Froumin, Isak – Focus on Learning Problems in Mathematics, 1996
Suggests that involving Russian experts in solving concrete educational problems and providing curriculum development in the United States could be very useful. A primary goal would be to change the attitudes and beliefs of teachers and to extend teachers' views on teaching mathematics. (AIM)
Descriptors: Curriculum Development, Curriculum Evaluation, Educational Change, Educational Improvement
Peavler, Cathy Seeley; And Others – Focus on Learning Problems in Mathematics, 1987
Describes mathematics education programs in Texas schools. Emphasizes the mastery of skills and concepts, as well as problem solving. Presents the philosophies of the mathematics programs for elementary schools, and for grades seven and eight. Addresses remediation, enrichment, time allotment, content, recommended manipulative materials, and…
Descriptors: Elementary School Mathematics, Elementary Secondary Education, Manipulative Materials, Mathematical Concepts