When other individuals move, we interpret their movements as discrete, hierarchically-organized, goal-directed actions. However, the mechanisms that integrate visible movement features into actions are poorly understood. Here, we consider two sequence learning mechanisms--transitional probability-based (TP) and position-based encoding…

A Piagetan task (transfer task) and a complex science task (final task) were used to compare the maturational view of Piaget with that of cumulative learning with respect to solving a science problem. A learning hierarchy of subordinate capabilities was constructed for the complex science task. Three phases of the experiment were: (1) pretest on…

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)

Second-grade students were randomly assigned to either an instructional unit within which addition and subtraction of two digit numbers were treated as a single integrated process of regrouping or one which developed the addition and subtractive algorithms sequentially. Periodic assessments favored the sequential approach, but differences were not…

Seven forms of a programmed booklet based on an eleven-level hierarchy for addition of fractions were developed. One hundred forty-two fourth graders were randomly assigned to treatments; achievement, transfer, retention, and time were compared. No treatment was consistently superior, but developing sequences from hierarchies validated by test…

Presented is the task analysis for "Developing Mathematical Processes, Arithmetic, Book 1: Comparing and Equalizing Objects and Sets." This task analysis consists of identifying the behavioral objectives necessary for comparing and equalizing objects and sets and arranging them in a logical sequence for instruction. The 52 items in this task…

The fraction concept was analyzed to yield 16 subconcepts which are hypothesized to be hierarchically ordered. This ordering was tested using subjects in grades 4 through 6, and 18 of 23 dependencies hypothesized were confirmed. (SD)

First- and third-grade children were tested under six different instruction conditions which varied in how explicitly they cued a rehearsal strategy in a self-paced sequential-memory task. The type of strategy adopted was monitored with study time and overt verbalization measures. (JMB)