Asserts that college students lack understanding of the concept of function. Based on an epistemological theory, offers an instructional treatment using computers that presents a process concept of function and results in substantial improvements in student understanding for many students. (29 references) (MDH)

Concrete experience should be a first step in the development of new abstract concepts and their symbolization. Presents concrete activities based on Hyde and Nelson's work with egg cartons and Steiner's work with money to develop students' understanding of partitive division when using fractions. (MDH)

Mathematical fiction writing as a learning tool is discussed utilizing an actual example of a student's fictional text related to the field of geometry. Commentary about this example and how it relates to other areas of mathematics can provide teachers with insight into students' schema for organization and internalization of mathematical…

Contends that emergent developmental sequences are energized in a continuous interaction with environmental influences. Asserts that a developmentally and individually appropriate curriculum is sequential and matched to the naturally emerging developmental sequences of the child. Proposes four research emphases for the 1990s. (CFR)

Instructional strategies are presented that illustrate ways of developing students' understanding of nonnumerical notation that are compatible with a constructivist stance. The concepts of using letters to represent a range of values and those used to represent unknowns are discussed. (KR)

Proposes using a hypermedia authoring program as a method for helping students make connections between definitions, representations, and applications of mathematical concepts. Provides an example involving fractions and discusses the advantages of using hypermedia. (eight references and four resources) (MDH)

The manual for the Boehm Test of Basic Concepts-Revised (1986) is reviewed. The test measures a child's knowledge of relational concepts. The revised version, eliminating some imperfections of the original, will continue to be a useful test of verbal concept acquisition. Cautions necessary while using the test are discussed. (SLD)

Because young children have difficulty comprehending abstract ideas and generalizing information presented in sexual abuse prevention programs, and because of their dependence on adults, the effectiveness of sexual abuse prevention programs for young children is questionable. (BB)

Responses of students in grades K-10 (42 interviewed; 98 written) to 4 common fractions problems were analyzed for iconic mode processes in relationship to concrete symbolic mode development. Concludes that progress in the latter, without development of complementary iconic support, limits both understanding and flexibility in solving problems.…

This paper is concerned with pupils' learning of the concept of variable in the LOGO programing environment and how this relates to teaching. Results from three research projects are described and compared in a discussion of how improvements in learning have been influenced by a refinement in teaching method. (Contains 21 references.) (Author/MDH)

Reports on an investigation of young children's (n=15) spontaneously constructed or naive understanding of the particulate nature of matter to any formal instruction in the domain. Speculates that children first develop local frameworks particular to different classes of substances, then slowly expand those frameworks to include a wide range of…

Constructivism suggests a way to restructure the learning environment to make the transfer of learning from school to work settings more effective. The theory rests on the notion that learners actively construct knowledge by integrating new information and experiences into what they have previously come to understand. Using a constructivist…

Researchers from BBN Laboratories and Lesley College (Massachusetts) have begun exploratory studies to build an understanding of the learning that occurs when middle school students interact with science-based simulations. Sixty hours of discussion among eight middle school students were videotaped as they used the simulations from the…

A study of young children's art and representational thought investigated the order in which representational concepts emerge in children's modeling in clay. It was predicted that children's three-dimensional representations of simple, symmetrical, and balanced familiar objects would be superior to their representations of complex, asymmetrical,…

This study examined the effect of an innovative teaching activity to improve concrete operational thinking skills with preschoolers in Head Start programs. A "learning set" of classification games and seriation games was used to teach the oddity principle and insertion into a series. These games were played with the children using toy ponies and…