In this second article on flow charts, examples of pictorial and verbal flow charts are given, rules for constructing a flow chart are listed, and sample numerical flow charts are provided. (DT)

This study examined the effects of inquiry training on students' ability to think analytically and the relationships of that ability with achievement in geometry and algebra. Results indicated that inquiry-trained students were not more analytical in approaching mathematics than others. (SD)

Self-paced instruction is compared with traditional instruction on several dimensions. Overall achievement levels, affective outcomes, long-range effects, attribute-treatment interactions, and cost are all examined on the basis of the research literature available. (SD)

Citing some past educational fads, the author addresses the curricular opportunities afforded by the hand-held calculator. He argues that students can gain deeper insight into many mathematical concepts by actually experiencing them. The availability of calculators will also cause some topics to disappear from the curriculum. (SD)

The author discusses the relationships between art and mathematics throughout history. Many illustrations are included. (SD)

The author argues that students do poorly with problems involving percent because they do not adequately understand ratio and proportion. Described is an instructional sequence designed to build these concepts. (SD)

Presents an activity for constructing and solving radical equations which can be done with or without the use of graphing calculators. Highlights one method that two students used to solve radical equations. (ASK)

Rates 23 films by their mathematics content. Includes a synopsis of each film with an explanation of the depth of mathematics content. Also includes general film rating. (DDR)

Examined how video clubs (ongoing discussions of videotaped classroom instruction) supported the development of productive conversations among teachers and educational researchers. Analysis of six video clubs involving high school mathematics teachers and a university researcher illustrated the complementary character of expertise the participants…

Describes a variation on a problem from the history of mathematics in which the class is divided into cooperative learning groups of four students each. Each group is challenged to find a procedure for resolving the situation with several solutions emerging. Emphasizes the importance of examining "incorrect" answers and discussing the…

Covers a project conducted by the Freudenthal Institute in which observation of student behavior supported the premise that the graphics calculator can stimulate the use of realistic contexts, the exploratory approach to mathematics, a more integrated view of mathematics, and more flexible behavior in problem solving. (AIM)

Reports on a study that focused on three teachers and their ways of teaching problem solving. Findings indicate that the participants unconsciously constructed personal metaphors that became the basis of their conceptualization of problems. "Community", "adventure" and "game" were the key metaphors. The outcome…

Discusses how American and Canadian Indians created mathematical connections and the first numeration systems used north of Mexico. A listing of various tribes, their locations, and how their simple or complex methods of computing may have originated from establishing a correspondence between different parts of the body and quantities they wished…

Describes research that was conducted on associations between classroom psychosocial environment and academic efficacy based on a sample of mathematics students from Australian secondary schools. Discusses measures used and results from single and multiple correlation analyses that showed classroom environment relates positively with academic…

Described is a study designed to extend a theoretical model of children's progression from a perceptual to an abstract concept of number. The implications of this research for the design of mathematics curricula are discussed. (CW)