In this important book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose a child's level of mathematical understanding and provide guidance for teaching. By focusing on the inherent delight and curiosity behind young children's mathematical reasoning,…

One of the greatest challenges for middle school Earth science teachers is helping our students get a feel for the magnitude of the long spans that make up Earth's history. The intent of the strategy presented here is to help middle school students get a feel for the real sizes of powers of 10, and then help them use that understanding by…

Number sense has been recognised as central to young children's development of mathematics for a number of decades. A student with a "good" sense of number normally has a thorough understanding of relationships among numbers and operations--being able flexibly to partition and combine numbers in convenient ways to allow appropriate…

The existence of spatial components in the mental representation of number magnitude has raised the question regarding the relation between numbers and spatial attention. We present six experiments in which this relation was examined using a temporal order judgment task to index attentional allocation. Results demonstrate that one important…

Human cognition is founded, in part, on four systems for representing objects, actions, number, and space. It may be based, as well, on a fifth system for representing social partners. Each system has deep roots in human phylogeny and ontogeny, and it guides and shapes the mental lives of adults. Converging research on human infants, non-human…

This is a book about teaching maths to pupils with learning differences, not learning difficulties. Teaching and learning in schools is, and always has been, print based. Other ways of thinking--visual, kinaesthetic, practical--are discounted in the classroom. To become teachers, students must jump over a long series of hurdles, formal and…

Discusses the role of computer assisted instruction in helping children develop such basic skills as handwriting, reading, and understanding elementary numerical and spatial concepts. Indicates that techniques based on computer assisted instruction will aid children in academic and social development. (Author/JN)

This article describes the modifications that 12 early childhood educators in Japan made to the Sorry! board game to encourage kindergartners' logico-mathematical thinking. Logico-mathematical knowledge is described as including classification, seriation, numerical relationships, spatial relationships, and temporal relationships. Examples of seven…

In this article, the author presents the 12 benefits of playing as a reference and guide for teachers in helping young children develop their cognitive skills, motor ability, socio-emotional, and academic development during play time. The following 12 benefits are described: (1) Play Enhances Bodily Gracefulness; (2) Play Promotes Social Skills;…

Describes picture books that can provide a foundation for the development of young children's understanding of mathematics. Includes specific activities for teachers to use along with picture books to enhance children's understanding of the concepts of classification, seriation, number, spatial relations, and time. (MDM)

The Assessment Tool for Moderately Retarded Students in Academic Skills (1978) is designed for moderately retarded students (5-21 years) and mildly retarded students (3-14 years) who will be living in sheltered home and work settings. The assessment tool is based on a life centered curricular model concerned with developing--in a sequential…