Replies to Lerman, who presented Vygotsky as an irreconcilable opponent to Piaget's genetic epistemology and von Glasersfeld's radical constructivism. Argues that Lerman's stance does not reflect von Glasersfeld's opinion of Vygotsky's work, nor does it reflect Vygotsky's opinion of Piaget's work. Establishes compatibility between analytic units…

An annual annotated listing of research on mathematics education is presented. The research is organized alphabetically by author(s) within three categories (research summaries, journal-published reports, and dissertation abstracts). Grade and age levels are indicated for each reference. An index of general topics is appended to help readers…

Research reported deals with measuring attitudes of college students enrolled in a terminal mathematics course. Attitudes about mathematics learning, mathematics as a process, the place of mathematics in society, and school and learning in general were measured. The instrument used was specifically designed for the study. (JG)

Research reported deals with the effects of activity instruction in the learning of multiplication in grade 3. Procedures, data analysis, and conclusions are presented. (JG)

Research reported deals with the effects of using negative instances in the teaching of eighth-grade general mathematics on achievement, reasoning ability, perceptual speed, and tendency to overgeneralize. Procedures, data analysis and conclusions are presented. (JG)

A review of research involving the utilization of manipulative materials in improving mathematics learning is presented. Subsequent assessment and discussion is included. (JG)

A critique is given of the use of an efficiency ratio to reexamine the data of the International Study of Achievement in Mathematics. A reply to this and an earlier critique of the analysis is included. (JG)

The performance of students from three intelligence levels at grades 4, 5, 6, and 7 on certain discovery tasks in arithmetics are examined. Results indicate that students should be given from 3 to 6 instances to make discoveries of the type tested and that students of lower intelligence levels can form generalizations. (FL)

A study designed to investigate a method examining some of the processes involved in students' forming of mathematical concepts in an experimental mathematics course. Results suggest that the card sorting task offers a useful tool for use in evaluation programs. (FL)

This study investigated the relationship between conservation of length and impulsive-reflectivity. Kindergarten and first-grade students were administered two conservation of length tasks and an impulsive-reflexive scale. No statistically significant relationship between the two concepts was found. (FL)

Examined were differential performances among categories of first graders when solving arithmetical workd problems of eight types under two distinct conditions. The categories were based on various types of quantitative comparisons which children are known to make. Several statistically significant results were obtained involving differences…

Assessed was the influence of grade placement on programing aptitude and programing achievement. High school students comprised one group and college students a second group. A significant difference in programing aptitude was found between groups. (FL)

The author examines the way in which students learn mathematics in the different countries of the IEA International Study of Mathematics Achievement and concludes that these are basically different. (CT)

The author answers two significant questions regarding age of starting school" and achievement at age 13-relative to the IEA Study of Mathematics Achievement. He argues that because of the nature of the test, the age of starting school will not affect the achievement scores at age 13.(CT)

The author seeks to clarify the aims and values of status studies, such as the IEA Study of Mathematics Achievement, which deals primarily with administrative variables. He states the value of such a study is in providing administrators with a basis for decision making. (Author/CT)