Tzur and Simon (2004) postulated two stages of concept development, participatory and anticipatory. The distinction between the two stages was exemplified by what they termed "the next-day phenomenon" in which learners who could solve a task one day in the context of the activity through which they made the abstraction, could not solve…

Middle school is a crucial transition period for students as they move from concrete to algebraic ways of thinking. This article describes a sequence of instruction geared toward helping prospective middle school instructors teach the topic of percentages.

After figuring out why many kids hate math, these longtime educators Bob and Ellen Kaplan created an after-school program in which children as young as 5 formulate equations of their own--and actually enjoy doing it. This paper discusses the experiences of the Kaplan couple, Bob and Ellen, on their Math Circle class during after-school sessions…

Details are provided about the American High School Mathematics Examination (AHSME), the American Invitational Mathematics Examination (AIME), and the USA Mathematical Olympiad (USAMO). The AIME will first be offered in 1983 as an intermediate examination between the AHSME and the USAMO. An appendix provides several sample problems. (MP)

Details of a course on mathematical modeling for graduate teachers of mathematics are presented. The rationale, objectives, course content, assessment methods are discussed along with several illustrative examples and difficulties encountered in finding appropriate problems. (MP)

Describes a six-month experimental library program carried out in Venezuela that sought to develop a home alternative to regular preschool education by providing parents and other adults in the family with the means of teaching children academic and problem-solving skills required by school. (Author/JD)

This document describes how to teach a computer to add numbers using the LOGO programing language. The programing project is described in the way a student might develop it. The model of developing the program uses humans as an anthropomorphic model for the computer, and the computer as a model for people. The document has an unorthodox style, as…

During the 1989-90 school year, the Barrett Math Program was piloted in selected sections of grades K-7 in five Atlanta (Georgia) Public Schools (APS) elementary schools. The Barrett Math Program is designed to improve the total mathematical skills of elementary school students, including computation, concepts, and problem solving, as measured by…

This final report summarizes research findings and presents a model for generative computer assisted instruction (CAI) with respect to its usefulness in the classroom environment. Methods used to individualize instruction, and the evolution of a procedure used to select a concept for presentation to a student with the generative CAI system are…

One of the strengths of the Pennsylvania Council of Teachers of Mathematics (PCTM) is that it gives mathematicians and mathematics educators the opportunity to exchange and contribute to each other's professional growth. The topic for each yearbook is chosen to coincide with the annual PCTM meeting. This 1986 yearbook contains 17 articles related…

This report documents the process undertaken to produce scales in three cognitive domains: knowing, applying, and reasoning. Included are the final scales showing differences among countries, as well as within countries. TIMSS 2003 is the third and most recently completed round of IEA's Trends in International Mathematics and Science Study, a very…