The research has shown a model of learning activities that can be used to stimulate reflective abstraction in students. Reflective abstraction as a method of constructing knowledge in the Action-Process-Object-Schema theory, and is expected to occur when students are in learning activities, will be able to encourage students to make the process of…

This project was designed to test Mayer's multimedia theory in an elementary school to improve students' mathematics learning for low-income children. The study designed and developed two multimedia mathematics experiments in 3rd grade: 9's multiplication experiment and geometric solids experiment. The two experimental lessons were implemented in…

The purpose was to develop and implement a strategy for organizing a curriculum into a system having explicit structural mediators of positive transfer from lower- to higher-order objectives. This was cast as a mathematical system, and three axioms were specified so that the system was characterized by composition and reversibility. A set of…

This critique points out some possible limitations of a previously reported study on the relative efficacy of two feedback modes during CAI instruction. Researchers are cautioned about using results to suggest classroom instructional practices. See also SE 508 622. (LS)

The author answers the questions posed in a critique of his previously published study on the relative efficacy of two feedback modes during CAI instruction. Details which were originally omitted due to lack of space are provided for further clarification. See also SE 508 621. (LS)

Discusses the role of microworlds in micro and macro educational systems. Topics include epistemological concepts; educational innovations; mathematics education in elementary schools; microworlds as simplified reality and as mental structure; and a three-stage theory of the development of learning. (LRW)

Certain transitivity relationships formulated from reversible operations were examined. Thirty randomly selected fifth grade students received instructional episodes, developed for each identified behavioral objective and its inverse (on unspecified content), presented via the IBM 1500 Instructional Computer System. It was found that students who…

The theories of Seymour Papert and the computerized instructional devices he uses are described. Some of these devices are now for sale. (SD)

Seventy-nine college students were taught laws of logarithms via the TICCIT CAI system. Most of the students were assigned to learner control or yoked treatment groups. Students assigned to learner control groups were able to choose how many instances to study. Students assigned to yoked groups were randomly yoked to students in the learner…

This review of the findings of recent cognitive science research pertaining to learning and teaching focuses on how science and mathematics are being taught, analyzes how the presence of the computer demonstrates a need for radical rethinking of both the theory and the practice of learning, and points out that if educators fail to consider the…

This project was concerned with the development of mathematical models of elementary mathematics learning and performance. Probabilistic finite automata and register machines with a finite number of registers were developed as models and extensively tested with data arising from the elementary-mathematics strand curriculum developed by the…

The second in a series of three articles, some themes of an undercurrent of educational objectives that move beyond the evident content goals are outlined. The themes relate the computer software materials analyzed in Part I to the cognitive experiences that students should have in learning about subject matter. (MDH)

Fifteen research reports related to mathematics education are abstracted and analyzed. Six of the reports deal with aspects of learning theory, four with areas in mathematics instruction (calculus, elementary mathematics for students of economics, and planning for topics for kindergarten children), and two with assessment or prediction of…

Uses work on children's counting schemes and a radical constructivist orientation to describe the development of computer microworlds for the teaching of rational numbers. Suggests that the design of complex software systems needs a strong theoretical background to provide direction for the design. Suggests that computer environments are the…

Uses the constructivist principle of active learning to explore the possibly essential elements in transforming a cognitive play activity into mathematical activity. Suggests that for such transformation to occur, cognitive play activity must involve operations of intelligence that, yield situations of mathematical schemes. Illustrates the…