In this paper, a learning progression for geometric transformations is developed based on research that demonstrates the importance of viewing transformations as functions of the plane. The 5 levels of the progression reflect a student's evolving understanding of transformations as functions and their evolving understanding of the domain of these…

This article addresses critical factors that impact learning for a growing population of students in American classrooms, the English Language Learner (ELL). Even in the smallest school districts, it is common for teachers to have one or more students with limited or no command of the English language in their classrooms. Many students in schools…

Computational models have played a central role in the debate over language learnability. This article discusses how they have been used in different "stances", from generative views to more recently introduced explanatory frameworks based on embodiment, cognitive development and cultural evolution. By digging into the details of certain specific…

A description is given of an inservice course designed to acquaint teachers with current constructivist thinking and research in cognitive and developmental psychology. The focus was on sensitizing the teachers to the challenges of creating a "thinking environment" in their classrooms. The course was designed to engage students as…

Most educators agree that concepts derived from the discipline areas of physical education are important. Selecting which concepts to teach is perhaps one of the most difficult decisions that teachers with reduced program time have to make. Once teachers select the concepts, they need to plan how to teach them over a curriculum, not just over the…

The Cognitive Levels Matching (CLM) project uses a constructivist base to teach teachers how to match the cognitive demands of curriculum and cognitive abilities of students. (MD)

Describes a classroom project for middle school students where developmental theory was translated into instruction promoting cognitive development. (MD)

Five principles of learning for young children with handicaps (functioning below a developmental age of one year) are presented, with descriptions of strategies that can be used to facilitate ascendance to higher levels of cognitive-social-communicative functioning. The principles include frequent adult-child interactions, meaningful context for…

Defines a generalization as "a descriptive statement of broad application indicating a relationship between two or more concepts." Argues that successful teaching about generalizations can only occur when students understand the relationship between concepts and facts. Discusses four issues and four approaches related to teaching…

This paper describes an interactive strategy for the instruction of critical thinking taking place in a middle school in Dade County, Florida. The project involves integration of critical thinking and brainstorming, using the quality circle approach. Based on developmental characteristics, certain principles impact middle school curricula: (1) the…

Examines the relationship between handwriting and early drawing. Maintains that often the quality of line in drawing becomes more reserved as the acquisition of the skill of writing-as-script becomes more fluid and automatic. Includes exercises that illustrate this process and use handwriting to explore creativity. (MJP)

Reviews research on the relationship among young children, their developing skills, and art. Maintains that children's development, like art itself, grows out of the individual child artist and his or her place in life and culture. Presents examples of developmentally appropriate art activities and instruction. (CFR)