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Hazzan, Orit; Zazkis, Rina – Focus on Learning Problems in Mathematics, 1999
"Give an example" tasks invite students to consider mathematical concepts in relation to their properties according to the data collected by interviews and a questionnaire asking students' strategies for generating the example. Examines how these tasks contribute to the construction of links which in turn lead to construction of more webbed and…
Descriptors: Cognitive Processes, Elementary Secondary Education, Learning Strategies, Mathematics Education
Martin, David S. – Focus on Learning Problems in Mathematics, 1992
Ties together the educational threads of teaching thinking skills and improving the intellectual performance in deaf learners. Identifies six criteria for curriculum or research decisions related to teaching for higher-level problem solving. Applications of these ideas to mathematics are left to the reader. (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Deafness, Elementary Secondary Education
Peck, Donald M.; Connell, Michael L. – Focus on Learning Problems in Mathematics, 1991
This paper describes student performance and beliefs regarding fractions resulting from a five-phase approach toward developing mathematical intuition via physical materials. Interviews with students using this approach and with students using a conventional textbook approach indicated significant differences in problem-solving abilities and…
Descriptors: Cognitive Processes, Concept Formation, Discovery Learning, Elementary Education
Orton, Robert E. – Focus on Learning Problems in Mathematics, 1991
Describes how a mathematics teacher's knowledge level can be supported or justified by a criterion different from test scores of teacher's students, namely the ability of the teacher to justify teaching practices by appealing to concurrent learning method. Two examples are provided that formalize theoretical justifications as practical arguments…
Descriptors: Cognitive Processes, Cognitive Style, Elementary Secondary Education, Epistemology
Garofalo, Joe – Focus on Learning Problems in Mathematics, 1992
Illustrates and discusses one class of strategies to solve word problems referred to as "number-consideration strategies." Contrasts actions and goals of students who focus mainly on number considerations with those of students who focus mainly on problem understanding. (MDH)
Descriptors: Cognitive Processes, Context Effect, Elementary Education, Learning Strategies
Sierpinska, Anna – Focus on Learning Problems in Mathematics, 1993
Examines operations of generalization, identification, discrimination, and synthesis in mathematical concept development from early childhood to late adolescence according to Vygotsky's theory of development. (MDH)
Descriptors: Abstract Reasoning, Classification, Cognitive Development, Cognitive Processes
Young Childrens' Choices of Manipulatives and Strategies for Solving Whole Number Division Problems.
Burton, Grace M. – Focus on Learning Problems in Mathematics, 1992
Presents a study that indicates that second grade students (n=117) do select manipulatives that match the story context in measurement and partition division word problems, that they can solve division word problems, especially when matched manipulatives are used, and that division without remainders are more accessible to solution. (39…
Descriptors: Cognitive Processes, Cognitive Style, Context Effect, Division