Works towards a synthesis of metacognitive theories that are implicit in the works of van Hiele and Piaget. Provides greater detail on those theories after describing two features of a good theory of metacognition that prefigure the contrast between van Hiele and Piaget. Contains 17 references. (ASK)

Considered are concepts and skills appropriate for basic teacher preparation, and those that should be reserved for more advanced, specialized preparation. The cyclical continuum of teacher education and models of teacher development are discussed. (MNS)

The problems of diagnosis and remediation have been an important concern for both mathematics and special educators. Defines an important agenda related to the role of diagnosis in improving mathematics instruction in the regular classroom and for children with special needs, both with and without learning problems in mathematics. Contains 47…

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)

Presents background information about Vygotskian theories. Describes Vygotsky's Zone of Proximal Development (ZPD). Discusses a model of attitude development that incorporates the ZPD, meta-awareness, the components of an attitude, and factors influencing attitude development. Suggests educational implications. (45 references) (MDH)

Argues that a position should be taken on which future research initiatives on learning and instruction will be most worthy if grounded in general systems theory and multiple research methods are employed. Presents an application of general systems theory to research on learning and instruction, including a system of research methods and…

Research on structural learning theory is reviewed as a base for designing computer-assisted instruction programs. An intelligent "Rule Tutor" emphasizing diagnosis and remediation for whole number concepts is described. (MNS)

Describes Vygotsky's zones of proximal development, the importance of social interaction in learning through problem solving, and the benefits of modeling. Presents three implications for teaching and learning mathematics based on a teaching experiment focusing on these constructs. (MDH)

Interview and questionnaire responses of students in grades K-10 completing common and decimal fraction tasks suggested the existence of 2 sequential unistructural-multistructural-relational learning cycles within the concrete symbolic mode. (46 references) (MKR)

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…

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)