An intensive, naturalistic study tracked one six year old's learning for six months and more. The study was inspired by the hope that with concepts of Artificial Intelligence and sufficiently detailed observation, the path of knowledge development could be described through observing significant learning experiences. Included is a reasonably…

This two-volume teacher's guide is to be used with a second-semester, sixth-grade mathematics program. The manner of presentation and the pedagogical ideas and tools are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams") and models of our numeration system (the…

A review of research literature revealed that some researchers felt that the use of colored rods, such as the Cuisenaire materials, in teaching number work gave perceptual support to many relationships. Experiments conducted over 3 years attempted to test some of these relationships. During each year, experimental classes in grade one were…

Field experience during teacher preparation enables the prospective teacher to observe children as they develop -- emotionally, socially, intellectually, and physically. Children, at different stages of development, exhibit characteristics of behavior which may or may not affect how and what they learn in the formal classroom environment. Thus,…

This paper reports on a study of nursery children's responses to number focused activities. Responses were analysed in terms of cognitive, physical, emotional and social aspects in order to gain insights into what engaged children in number learning opportunities. "Cognitive-emotional hooks" for number activities were identified, involving…

Hammond's Cognitive Continuum theory posits that certain task features induce distinct processing modes (e.g., intuitive or analytic) and thus result in qualitatively different decision performance. Although the theory suggests the relation between task features and performance characteristics a priori, the validity of these predictions requires…

The possible effect of experimenter expectancy in number conservation task experiments was explored. (JMB)

The historical development of the concepts of ratio and proportion is discussed. (SD)

A developmental mathematics program at Hill Top Preparatory School in Rosemont, Pennsylvania is designed to help learning disabled students prepare for jobs and college work. Intended for non-college bound as well as for the college bound, the program emphasizes aspects of environment (appropriate placement, self pacing, small groups), process…

This textbook is a course in mental arithmetic that is essentially based on the object-lesson plan. It is believed that the pupil in the primary school can more readily acquire a familiarity with numbers from the use of objects and pictures than from an uninterrupted drill on the tables. It also includes suggestions for teachers how to use the…