Reports and surveys by the U.S. government and international organizations have repeatedly acknowledged the achievement problem in math in K-12 regardless of various efforts (e.g., by the U.S. Department of Education) to diminish it. To address the problem in math achievement in K-12, teachers, scholars, and the U.S. government have developed…

The author emphasizes the importance of concepts and mathematical form in a discussion of understanding mathematics. (MN)

Discussion about the nature and varieties of mathematical understanding is presented. Symbolic understanding is defined as a mutual assimilation between a symbol system and a conceptual structure, that is dominated by the conceptual structure. (MP)

Curriculum balance is a conception rooted in an understanding of the nature and scope of cognition. It is not the case that certain cultural forms, such as the arts, to name but one example, are affective and mathematics cognitive. They are all cognitive. (Author/IRT)

Eight severely retarded subjects (ages 9-22), four with functional language and four without, performed identity and nonidentity matching tasks employing objects, photographs, and line drawings. As representational complexity increased, greater difficulty in matching stimuli was observed in the nonfunctional language group, with line drawings…

This paper discusses the benefits of teaching literature through levels of understanding so that teachers can more quickly and efficiently determine the operational levels of individual students. The seven levels of understanding and some of the generic questions by which they can be determined are: (1) perceptual level: "What happened, when,…

This article discusses communicative intent in persons with severe intellectual disability in the context of intervention studies reporting the acquisition of graphic symbol use. The article reviews communicative intent as formulated within psycholinguistic models of language acquisition which emphasize pragmatics and the functions of…

The "symbol systems approach" to the study of computers in education that is outlined avoids the pitfalls of past media research--particularly research on the effects of television on children's learning and knowledge--and asserts that media can be usefully distinguished in terms of the symbol systems they present and the kinds of…

Given the role science and technology play in economic and social development in today's world, scientific and technological literacy must be given priority as an essential component of basic education. The significance of the visual component of literacy has increased with advances in technology and picture and image usage. The United Nations…