An inductive assessment model for developing individualized instructional programs for special needs students is reviewed, followed by a discussion of how computer programs can help teachers solve logistical and technical problems of inductive assessment models and how expert systems can provide instructional advice. Expert systems for…

Interprets and contrasts children's mathematical interaction from the points of view of radical constructivism and of Soviet activity theory. Proposes a superseding model based on the interrelations between the basic sequence of actions and perturbation and the interaction of constructs. Supports the model by describing how children used…

Proposes a new model of children's mathematics by composing aspects of the Fraction Project and critiques presented in the same issue. Argues that computer microworlds provide children with dynamic learning environments in which they are the primary actors and teachers with a medium for interact with children's mathematics while trying to maintain…

Describes a project for first and second graders involving gathering and interpreting survey data from another student they have never met to identify the student at the end of the project. Includes sample curricular goals and instructional strategies. (MKR)

Describes the Vanderbilt University (Tennessee) Learning Technology Center, including profile of the center's personnel; description of representative projects, such as the Jasper-Woodbury Problem Solving Series, a multimedia literacy program for grades K-3, and the Adult Literacy Program; and a list of 14 representative publications by center…

The Ciulistet, an Alaska Native teachers' research group, focused on the development of Yup'ik culturally based mathematics. Examines difficulties in interpreting Yup'ik knowledge to school-based mathematics, theoretical implications for indigenous education, and the process of culturally negotiating context and content of schooling. Describes the…

Discusses the collaboration between a university and local school district in the use of calculators to help students discover patterns and to estimate quotients when dividing decimals. (MKR)

Describes the Taliesin Project, a current curriculum materials research and development effort whose main goals are (1) the development of a computer-aided classroom instructional tool for grades six through eight based on hypermedia technology, and (2) the development of a multidisciplinary curriculum to help develop stronger interests in…

Presented is a review of the research on the benefits of using writing to evaluate students' understanding of mathematics. Results indicate that student writing provides a rich resource for assessing student understanding, can have a direct influence in teachers' instructional practices, and can positively influence student-teacher interaction…

Presented is a method of reorganizing a high school geometry course to integrate coordinate geometry together with Euclidean geometry at an earlier stage in the course, thus enabling students to prove subsequent theorems from either perspective. Several examples contrasting different proofs from both perspectives are provided. (MDH)

Presents computer approach formulated within a framework of versatile thinking designed to overcome obstacles to understanding algebra. Results from related studies comparing the computer and traditional approaches taught to 11, 12, and 13 year olds showed that the computer approach significantly improved the understanding of higher order concepts…

The problem of innumeracy in general and at the primary school level in particular is attributed to a structuralist design of instruction emphasizing an algorithmic approach to arithmetic. Offered is an alternative learning approach developing arithmetic as an informal context-bound activity tied to mental arithmetic and estimation. (MDH)

The relationships among prior achievement, individual outcome, team outcome, and students' achievement and academic perceptions were studied for 190 students (grades 3 through 7) learning mathematics in teams. Subjects' teachers also participated. Team outcome was related to achievement and academic perceptions, but not to prior achievement and…

The apprenticeship model can be adapted to teaching and learning cognitive skills in reading, writing, and mathematics, as illustrated by three successful examples. A cognitive apprenticeship framework is presented for the design of learning environments incorporating content taught, pedagogical methods, sequencing of learning activities, and…

This study compared the effectiveness of teaching multidigit addition of whole numbers without regrouping prior to teaching it with regrouping to teaching multidigit addition with and without regrouping simultaneously. Pretest/posttest-delayed posttest results of second grade students (n=151) from seven randomly assigned classrooms indicated no…