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Nunokawa, Kazuhiko – Focus on Learning Problems in Mathematics, 1997
Analyzes the problem-solving process and presents the dominance of the conjecture or theoretical aspect as a subtle relation between the data and the conjecture. Argues that conjectures are not necessarily subordinate to the data but play active roles in mathematical problem solving. Discusses the meaning of this dominance in the context of…
Descriptors: Cognitive Processes, Elementary Secondary Education, Foreign Countries, Mathematics
English, Lyn – Focus on Learning Problems in Mathematics, 1999
Assesses children's structural understanding of combinatorial problems when presented in a variety of task situations. Provides an explanatory model of students' combinatorial understandings that informs teaching and assessment. Addresses several components of children's structural understanding of elementary combinatorial problems. (Contains 50…
Descriptors: Cognitive Processes, Elementary Education, Foreign Countries, Grade 5
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
English, Lyn D.; Warren, Elizabeth A. – Focus on Learning Problems in Mathematics, 1995
Assessment of general reasoning processes, elementary algebraic understanding, and novel problem solving of (n=147) seventh- and eighth-grade students found that abilities to generalize from patterns and tables of data and understanding variable constructs contributed significantly to application of algebraic concepts and processes. Questions…
Descriptors: Algebra, Foreign Countries, Generalization, Grade 7
Presmeg, Norma C. – Focus on Learning Problems in Mathematics, 1989
Deals with the issue of visualization as it is related to the learning of mathematics in multicultural classrooms. Discusses the importance and the role of visualization in multicultural classrooms. (YP)
Descriptors: Cultural Background, Elementary School Mathematics, Ethnomathematics, Foreign Countries
Clarkson, Philip C. – Focus on Learning Problems in Mathematics, 1992
Reports a study to examine careless errors fifth-grade students (n=58) make while solving mathematical word problems and explores the type of student who frequently makes such errors. Results indicated that frequency of these errors was significantly related to the noncognitive variables of the study. Discusses implications for remediation. (20…
Descriptors: Attribution Theory, Cognitive Style, Elementary Education, Evaluation Methods