Accession Number : AD0717371

Title :   A Hierarchically Sequenced Introductory Mathematics Curriculum.

Descriptive Note : Technical rept.,

Corporate Author : PITTSBURGH UNIV PA LEARNING RESEARCH AND DEVELOPMENT CENTER

Personal Author(s) : Resnick,Lauren B. ; Wang,Margaret C. ; Kaplan,Jerome

Report Date : DEC 1970

Pagination or Media Count : 85

Abstract : A method of systematic behavior analysis is applied to the problem of designing a sequence of learning objectives to provide an optimal match for the child's natural sequence of acquisition of mathematical skills and concepts. The authors begin by proposing an operational definition of the number concept in the form of a set of behaviors (the curriculum 'objectives') which, taken together, permit the inference that the child has an abstract concept of 'number'. Each behavior is then analyzed to identify hypothesized components of skilled performance and pre-requisites for learning these components. On the basis of these analyses, specific sequences of learning objectives are proposed which are hypothesized to facilitate optimal learning by maximizing transfer from earlier to later objectives. Relevant literature on early learning and cognitive development is considered in conjunction with the behavior analyses and the resulting sequences. A discussion of the ways in which a hierarchically sequenced early learning curriculum can be used in schools includes a description of a formalized 'mastery' model, in which children are tested to determine entering level and in which they pass to higher level objectives on the basis of demonstrated mastery of lower-level ones. Alternative models are considered briefly. (Author)

Descriptors :   (*CHILDREN, *LEARNING), (*MATHEMATICS, TEACHING METHODS), BEHAVIOR, SEQUENCES(MATHEMATICS), TRANSFER OF TRAINING, TEST METHODS, PROBLEM SOLVING, SET THEORY, FLOW CHARTING

Subject Categories : Humanities and History

Distribution Statement : APPROVED FOR PUBLIC RELEASE