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Venger, A. L.; Gorbov, S. F. – Focus on Learning Problems in Mathematics, 1998
Presents a first-semester course in mathematics for 6-year-old children by formulating certain general requirements for the curriculum and the instructional methods with the aim of leading children to form their initial mathematical concepts. (ASK)
Descriptors: Addition, Arithmetic, Course Descriptions, Learning Theories
Clement, John – Focus on Learning Problems in Mathematics, 1989
Proposes elements of a model of knowledge structures used in comprehending and generating graphs. Uses the competence model to attempt to organize and interpret findings on misconceptions in graphing. Discusses two types of common misconceptions; treating the graph as a picture and slope-height confusions. (YP)
Descriptors: Classification, College Mathematics, Graphs, Mathematical Concepts
delMas, Robert C.; Bart, William M. – Focus on Learning Problems in Mathematics, 1989
Investigated are three misconceptions of probability and the differential effect of two activity-based instructional units. Response categories (law of averages, law of small numbers, and availability) are identified. Treatment differences (evaluation or no evaluation) appear to influence subjects' interpretations of the information. (YP)
Descriptors: Achievement Tests, Cognitive Structures, College Mathematics, Higher Education
Lowenthal, Francis; Vandeputte, Christiane – Focus on Learning Problems in Mathematics, 1989
Introduces an introductory module for analysis. Describes stock of basic functions and their graphs as part one and three methods as part two: transformations of simple graphs, the sum of stock functions, and upper and lower bounds. (YP)
Descriptors: College Mathematics, Equations (Mathematics), Foreign Countries, Functions (Mathematics)
Janvier, Claude; Garancon, Maurice – Focus on Learning Problems in Mathematics, 1989
Shows that graphs can reveal much about feedback systems that formula conceal, especially as microcomputers can provide complex graphs presented as animations and allow students to interact easily with them. Describes feedback systems, evolution of the system, and phase diagram. (YP)
Descriptors: Computer Simulation, Computer Uses in Education, Diagrams, Feedback
Wilson, Patricia S. – Focus on Learning Problems in Mathematics, 1990
Described are inconsistencies, definitions, and examples and their complex relationship which can be used to interpret students' reactions to the geometric tasks used to investigate inconsistencies in student thinking. Discusses the nature of definitions, the value of precise vocabulary, the use and limitations of prototypes, and the power of…
Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Dissonance, Cognitive Structures
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