A pilot study was conducted to examine the information with respect to the modes, referents, and relationships that a given teacher acquires through the examination of her students' written responses to open-ended tasks and how the teacher uses this information. The participating teacher taught sixth grade in a public elementary school in a…

Recent advances in artificial intelligence and the cognitive sciences have made it possible to develop successful intelligent computer-aided instructional systems for technical and scientific training. In addition, computer-aided design (CAD) environments that support the rapid development of such computer-based instruction have also been recently…

Metacognition is considered by most educationists to be an element necessary for many cognitive learning tasks. In general, within problem solving tasks, procedural, factual, and conceptual knowledge, by themselves, are insufficient for successful task completion. To be successful, the problem solver must usually demonstrate higher level cognitive…

This study examined cognitive processes and outcomes associated with student knowledge base development. Sixty-nine students from two grade 8 classes were randomly assigned to one of three groups: a knowledge base development (KBD) group, a problem-solving software group, and a control group. Those in the KBD group received relevant instruction…

This paper reports a study to address two questions concerning children's understanding of average: How do children construct and interpret representativeness within the context of data sets? and How do children think about the mean as a particular mathematical definition and relationship? Twenty-one students (seven each of 4th, 6th, and 8th…

This paper discusses the competency space approach to diagnosing misconceptions, skill, and knowledge acquisition. In some approaches that combine misconceptions, skill, and knowledge acquisition, the latent ability theta is used more or less as an insignificant element, but in the competency space approach, a multidimensional latent space is…

Abstracts of 11 mathematics education research studies are provided. Each abstract is accompanied by the abstractor's analysis of or comments about the study. Studies reported include: "The Importance of Spatial Visualization and Cognitive Development for Geometry Learning in Preservice Elementary Teachers"; "Classroom Ratio of High…

This study claimed that the ability of bilingual children to solve metalinguistic problems depends upon the demands of a given problem for analysis of knowledge or control of processing. It examined two hypotheses concerning bilingualism and metalinguistic problem-solving: (1) that bilingual children would be more advanced than monolingual…

This paper examines sixth-grade children's thinking related to solving ratio and proportion problems before these children had received any instruction in the domain. It explores unitizing and norming, one of the processes identified by both content analyses (Behr, Harel, Post, & Lesh, 1990); Harel, Behr, Post & Lesh, 1990) and research in…

Ongoing work toward developing a learning environment that will perform real-time diagnoses of students' difficulties in solving mathematical word problems is described. The learning environment designed consists of a microworld and expert modules. The microworld (or toolbox) is a collection of mouse-driven interfaces that facilitate a transition…

This paper summarizes a report designed to provide the National Science Board Commission with information about recent advances in cognitive/behavioral science relevant to mathematics, science, and technology education, as well as prospective contributions from these fields if adequate levels of support are available. Following a summary…

This compilation consists of 26 consecutive issues of the journal "Seedbed," published from February 1979 through July 1986. Each issue contains articles written by teachers for teachers. "Seedbed" is an outcome of the Teachers' Center Project at Southern Illinois University at Edwardsville. It is designed to be neither scholarly nor trivial. Each…

The cognitivist view of composition suggests that if students are supplied with a set of writing strategies, they will learn to think in more complex and powerful ways, observing their own ideas and writing from another person's viewpoint. On the other hand, some social critics argue that composition teachers need to help their students enter into…

Research on mathematics instruction is reviewed in order to respond to two questions: (1) Has the influx of talented people who have entered the mathematics instruction field over the last three decades changed anything? and (2) Will any of the work being done actually improve mathematics instruction? The different ways in which parents, students,…

Critical thinking skills were taught to students in a lower-track freshman English class through the use of cross-disciplinary subject matter. Given a set of three transmission electron micrographs, or photographs of magnified tissue used in histology and pathology, students were asked to support their conclusions on which two of micrographs A, B,…