Nine students (ages 7 to 11) with math disabilities were effectively taught using an instructional sequence that moved from the concrete to the semiconcrete to the abstract. Subjects needed between three and seven lessons using manipulative devices and pictures before being able to do abstract-level problems. (Author/DB)

Speculates that the prewriting technique of "clustering" can be an effective tool for multicultural college students learning sophisticated scientific concepts. Asserts that teachers must be willing to take risks and nurture students' creativity and self-confidence if such techniques are to succeed and supplant or supplement the lecture…

This study of 52 learning-disabled children, aged 8-13, found that direct feedback and practice improved metaphor interpretation. The approach was highly successful in teaching students to generalize concrete concepts to abstract ones. Further descriptive analyses indicated that grade and reading levels of subjects correlated with metaphor…

This study explored the moral reasoning and scientific argumentation of 31 Finnish adolescents gifted in science. In qualitative essays and interviews, the pupils were asked to identify moral dilemmas in science and provide solutions to them. Two illustrative cases of students' argumentation who had either average or high scores on the Defining…

An instructional program designed to help middle school students with severe learning disabilities learn about story themes, and focused on enhancing ability to generalize to themes not included in the instruction, was evaluated. Findings indicate students with learning disabilities can profit from instruction geared toward abstract higher order…

The author examined the effectiveness of training in symbolic logic for improving students' deductive reasoning. A total of 116 undergraduate students (approximately equal numbers of men and women) enrolled in 1st-year university philosophy courses in symbolic logic participated in 2 studies. In both studies, students completed booklets of…

A two-dimensional weather map is actually a physical representation of three-dimensional atmospheric conditions at a specific point in time. Abstract thinking is required to visualize this two-dimensional image in three-dimensional form. But once that visualization is accomplished, many of the meteorological concepts and processes conveyed by the…

This article introduces the central ideas of G. H. von Wright's cultural philosophy concerning the techno-scientific form of life. Georg Henrik von Wright (1916-2003) was best known for his achievements in the field of modal logic and for his association with Ludwig Wittgenstein. However, his work also included a critical analysis of science and…

Students of General Physics often complain that the course is too abstract and remote from daily life. As teachers, we emphasize that the abstract concepts of physics are indispensable for understanding our daily experiences, and we try to give the impression that quantitative descriptions can be achieved by adopting concrete mathematical…

This paper is concerned with the use of spreadsheets within mathematical investigational tasks. Considering the learning of both children and pre-service teaching students, it examines how mathematical phenomena can be seen as a function of the pedagogical media through which they are encountered. In particular, it shows how pedagogical apparatus…

In the current debate about the abstractness of children's early grammatical knowledge, Tomasello & Abbott-Smith (2002) have suggested that children might first develop "weak" or "partial" representations of abstract syntactic structures. This paper attempts to characterize these structures by comparing the development of constructions around…

The world is in a constant state of flux and as a consequence, definitions and perceptions of the word "intellectual" are subject to change. This paper undertakes a succinct historical review regarding this notion by considering two paradigms, which are called here the "Lake Paradigm" and the "Well Paradigm". It is argued that these two paradigms…

This submission contains the Proceedings of the 2007 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the University of New Brunswick in Fredricton, New Brunswick. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning.…

Classical physics has a long history of using demonstrations and experiments to develop ideas in introductory courses. The purpose of this exploration is to examine the effectiveness of a desk-top activity for helping students develop abstract reasoning. In the pilot exploration, students in three laboratory sections of a single physics course…