The study of functions is a critical route into teaching and learning algebra in the elementary grades, yet important questions remain regarding the nature of young children's understanding of functions. This article reports an empirically developed learning trajectory in first-grade children's (6-year-olds') thinking about generalizing functional…

An account is made of the relationship between the convergence behaviour of a sequence and the accumulation points of the underlying set of the sequence. The aim is to provide students with opportunities to contrast two types of mathematical entities through their commonalities and differences in structure. The more set-oriented perspective that…

This article examines the relationship of cognitive processing and creativity and argues that educational interventions contribute to the development of creative thinking skills when they provide requisite knowledge structures and stress controlled application of these processes in solving progressively more complex problems. (DB)

Presents guidelines for developing computer-assisted instructional materials that are based on theoretical instructional theories, including behaviorism; neobehaviorism (imitation and modeling); information processing; cognitive psychology; and learning styles. Guidelines highlight feedback and reinforcement, practice opportunities, sequencing,…