This paper describes the use of portfolios to assess the preservice teacher's knowledge growth in teaching mathematics during a one year graduate-level teacher preparation program at Oregon State University. Portfolios provided evidence of what the preservice teacher used to show development of competency in knowledge and skill of teaching.…

Two activities that provide motivation for drill problem-solving work are described. Solutions to problems are associated with coded letter puzzles which provide instant feedback as well as motivational interest. (JP)

Briefly outlines ways in which kites may be used in the junior high school science and mathematics curricula. (JR)

Fifty detailed examples illustrating the uses of a wide range of supplementary printed materials are presented. Each example specifies the material, the function, the technique, and the recommended grade levels. (LS)

Projection devices and television are discussed in terms of what is available and how they may be used effectively. Particular attention is given to use in the area of individualizing instruction. (LS)

Suggestions for organizing and implementing a math-lab approach are given. Devices useful with the topic of place value and manipulations with the geoboard are discussed extensively. Many other materials are listed and referenced. (LS)

This synopsis of discussions at the Centenary Conference of the (British) Mathematical Association, April 1971, includes the views of six speakers on likely curriculum developments for learners at all levels. (MM)

Mathematical research, automation machinery, and automatic digital computing machines are among the causes for the revolution in mathematics curriculum. Author traces the history of mathematics development and future curriculum development. (RK)

A case study in mathematics designed to illustrate how the computer may be instructed to solve complicated problems. The problem is to find the volume of a right truncated cone given the altitude and a half angle or the base radius. (RP)

Investigated students' (N=110) understanding of elementary calculus using clinical interview method. Analysis of responses to tasks concerning differentiation and rate of change led to detailed data concerning degree of understanding attained and common errors/misconceptions. Implications for mathematics instruction are discussed. (This is a…

Study of circular transformation and its associated properties is proposed as review and reinforcement of familiar concepts and for developing broader understanding of transformations. Inversion on a circle is discussed in some detail. (MNS)

Findings on ratio and on fractions from a research project on strategies and errors in secondary mathematics are discussed, with typical errors described. Pupils seemed to learn rules without understanding. (MNS)