A method of organizing studies on sequencing problems in mathematics according to a theoretical model based on characteristics of empirical science is explained. The conceptual framework underlying eight studies that follow this article in JRME (SE 508 022 through SE 508 029) is discussed and a brief overview of each study is given. (DT)

A method of systematic behavior analysis is applied to the problem of designing a sequence of learning objectives that will 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 Instructional Process Analysis Project (IPA) is a study jointly undertaken by the Nordic countries in 1967. The present study discusses a methodological problem area of very narrow scope within the IPA project. The general aim of the study is to examine the factor-analytical method of sequence analysis and to produce variables that measure the…

A step-by-step exposition is presented of the manner in which the systematic application of the principles of instructional design can lead to sequential learning. Following an introduction to systematic instructional design, the second and third chapters of the book discuss a systems model of the classroom and the setting of objectives for…