Suggests that constructivist rationality may be more pervasive across cultures than Moshman commits to. Proposes that rationality is not always adequate, and there is a need for essentially moral labor, such as differentiating moral from nonmoral or analyzing differing moral constructs and their potential coexistence, coordination, and structural…

Examines U.S. and Chinese 6th grade students' mathematical thinking and reasoning involved in solving six process-constrained and six process-open problems. Concludes that the Chinese sample had a significantly higher mean score than the U.S. sample on the process-constrained tasks, but the sample of U.S. students had a significantly higher mean…

This article presents research on students' understanding of basic concepts in Graph Theory. Students' understanding is analyzed through the lens of the theoretical framework of reducing abstraction (Hazzan, 1999). As it turns out, in spite of the relative simplicity of the concepts that are introduced in the introductory part of a traditional…

Words are only one way of symbolizing ideas. Numbers, pictures, graphs, maps, diagrams, photographs, and other means are also used to convey information. Researchers refer to notational systems such as graphs, diagrams, and maps as "inscriptions." Inscriptions are tools that help people to perceive and to talk about spatial worlds. Spatial…

Most children who are congenitally deafblind are severely delayed in their communication development and many will not achieve symbolic understanding and expression. This article discusses developmental markers cited in the research literature as predictive of or facilitative of the development of symbolism. These markers include the growth toward…

In education research, a polar distinction is frequently made to describe and produce different kinds of research: "quantitative" versus "qualitative." In this article, the authors argue against that polarization and the associated polarization of the "subjective" and the "objective," and they question the attribution of generalizability to only…

Babies are active participants in their learning and need to explore a variety of objects. Nurturing relationships support these explorations. Objects are more clearly remembered and understood. Thus, one activity this article suggests doing with a 12-month-old to encourage abstract thinking, is talking about how squeezing the bottle of ketchup…

Norenzayan, Smith, Jun Kim, and Nisbett (2002) investigated cultural differences in the use of intuitive versus formal reasoning in 4 experiments. Our comment concerns the 4th experiment where Norenzayan et al. reported that, although there were no cultural differences in accuracy on abstract logical arguments, Koreans made more errors than U.S.…

The core of apparel design education is the studio experience. This article discusses an Integrated Apparel Design Curriculum model built on a foundation of creative and technical experimentation and learning which contributes to developing abstract thinking skills. Various learning styles are supported as students work through the design process…

The purpose of this study was to determine whether providing students with continuous written instructional support or fading written instructional support (scaffolds) better prepares students to construct scientific explanations when they are no longer provided with support. This article investigated the influence of scaffolding on 331…

We present a simple activity in which students measure the resolving power of their eyes. The approach can be used at various levels of sophistication with students having a wide variety of skills and scientific training. We discuss our experiences using this activity with a class of non-science majors as well as with a group of pre-engineering…

Experiences in designing and teaching a reformed abstract algebra course are described. This effort was partially a result of a five year statewide National Science Foundation (NSF) grant entitled the Rocky Mountain Teacher Enhancement Collaborative. The major thrust of this grant was to implement reform in core mathematics courses that would…

In teaching a well-organized college physics course that is understandable to students, teachers should first understand students' conditions and circumstances and be clear on the goals of the course. The goals of physics teaching are commonly defined as understanding the nature of scientific reasoning and the concepts and methods of physics,…

Previous investigations on Piagetian cognitive levels among college students both within and across academic disciplines have not addressed the issue of possible differences in cognitive levels between traditional undergraduates and older returning students. Piagetian cognitive levels were studied among traditional- and nontraditional-age college…

Data on some aspects of the deductive logical competence of nongraduate teachers in the English-speaking Caribbean, primarily Jamaica, are reported in this document. The teachers sampled were those who sat for entrance examinations for the University of the West Indies (Mona) Faculty of Education Bachelor of Education and Certificate of Education…