The objective of this study was to determine ways of attaining a working competence in the arithmetic of the full real number system, and to explore means of removing some ineffective practice employed in instruction. A secondary objective was to determine the feasibility of developing infinite decimal arithmetic directly, without building on the…

Included are two curriculum guides, Section D and Section E, which continue instruction of the three guides in SE 012 723. Counting (by ones, by twos, by threes, ..., by twelves) is extended to 144 in Section D and to 1000 in Section E. The creation and manipulation of more complex equations are taught, including the notion of substitution. The…

This guide continues instruction of the three guides in SE 012 723 and of the two guides included in SE 012 724. Counting skills, appreciation of pattern and order, and understanding of place value are extended to numbers up to one million, and the associative, commutative and distributive laws are made explicit. Manipulation of equations is…

This guide is a continuation of the series of guides starting with SE 012 723. The entire course is ungraded, but the material referred to in this guide would probably be covered in grade five or six. The concept of place value is studied more deeply using Dienes' Multiple Attribute Blocks, and used in the further development of formal algorithms.…

This guide is the seventh of a series of seven curriculum guides included in SE 012 723, SE 012 724, and SE 012 725, and concludes the primary school mathematics course (grades one through six in Victorian schools, Australia). It is expected that "a substantial majority of children leaving grade six will have completed Section H. Some…

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…