PS-I learning approaches with an initial problem-solving phase (PS) followed by an instruction phase (I) can be optimised by providing adaptive (individualised) instruction that builds on students' problem-solving products. A computer-based implementation of both phases offers the possibility of adaptivity at the transition from the…

A unit on adding and subtracting fractions based on the formal definition from rational numbers was developed and compared to use of an unspecified method. Eighty-one fifth-grade students were randomly assigned to two classes for arithmetic instruction. After completion of the unit, an immediate and a delayed posttest were given; an analysis of…

This study was concerned with the verification of a learning hierarchy for the mathematical task of adding fractions, when group learning procedures involving teacher-student interaction were used. Through a task analysis procedure a hierarchy of 13 subordinate skills was hypothesized, behavioral objectives were specified, and a curriculum…

This is part two of a two-part SMSG elementary school text for fifth-grade students. The content is aimed at the development of some of the fundamental concepts of mathematics such as number, numeration, the operations of arithmetic, and intuitive geometry. Chapter topics include addition and subtraction of rational numbers, measurement of angles,…

The purposes of this study were (1) to formulate specific and measurable behavioral objectives applicable to the teaching of fractions in grade five, (2) to construct a taxonomic programed text that would teach fifth grade students the addition of fractions and their application to problem solving and evaluation tasks, (3) to develop The Taxonomic…

This curriculum bulletin is designed to help teachers meet the diverse needs in mathematics of the children in fifth grade classes. In addition to the emphasis that is placed on arithmetic computational skills, the bulletin shows how to include other areas considered important, such as concepts, skills, and ideas from algebra and geometry. The 80…