Six widely used US Grade 1 curricula do not adequately address the following three developmental prerequisites identified by a proposed learning trajectory for the meaningful learning of the subtraction-as-addition strategy (e.g., for 13-8 think "what + 8 = 13?"): (a) reverse operations (adding 8 is undone by subtracting 8); (b) common…

This paper describes the research program of the Mathematics Work Group of the Wisconsin Research and Development Center for Individualized Schooling. The major interest is in the development of children's abilities to solve verbal addition and subtraction problems and particularly in the processes and strategies used by children. Three factors…

In the foreword to this book, Inhelder states that its essential contribution is that "it transposed to actual reality Piaget's central epistemological thesis according to which mathematical thought is, from its most elementary manifestations, the product of the subject's activity that he characterized by the term 'reflective…

Designed for use with unit two of the Science/Math curriculum in Spanish developed for grade one, this supplement and ditto packet contains visuals, worksheets, and instructional aids referred to in the teacher's guide corresponding to this unit. Learning activities in kits five through eight center on the theme of the family. Illustrations and…

Each of the four kits in this teacher's guide to a Spanish science/math strand for first graders provides for the development of mathematical competencies needed to function in science. Instructional and assessment activities in the bilingual curriculum are pupil centered, and contents are designed to enable the child to develop skills in the…

The second unit of instructional and evaluation activities for a science/math curriculum in Spanish developed for first graders make up this teacher's guide. Kits five-eight, each covering a period of two to three weeks, present science and math instruction around the family. The guide lists focus, objective, and materials in English and Spanish…

The National Science Foundation funded Calculators and Mathematics Project, Los Angeles (CAMP-LA) developed curriculum materials focused solely on the use of calculators. The project was developed in three stages. The first stage studied the mathematics curriculums from different states and identified topics that are not included but should be if…