In this age of easy access to the internet and to spreadsheets, easy-to-apply numerical methods exist that are vastly superior to Simpson's rule and the (corrected) trapezoidal rule. Gaussian quadrature (GQ) is such a method. What follows tells how enthusiastic Year 9 students with a physics problem provoked a science teacher into re-discovering a…

The National Council of Teachers of Mathematics' (NCTM) "Curriculum and Evaluation Standards" recommends that mathematical connections be made between mathematics and other disciplines. This book presents 35 activities for middle school students that integrate the teaching of mathematical concepts with environmental concepts. An…

A discussion of numeracy (the ability to cope confidently with the mathematical demands of everyday life), focuses on provision of numeracy instruction alongside English-as-a-Second-Language (ESL) instruction for learners with low literacy skills. It looks first at considerations and methods for assessing student numeracy needs, including the…

This conference proceedings volume for PME-NA-XIX contains a total of 87 reports: one plenary session report; 39 research reports; 20 short oral reports; 25 poster session reports; and two discussion group reports. Only the plenary and research reports are full reports; the others are generally one-page abstracts. The full reports include: (1)…

Recent reports by the National Council of Teachers of Mathematics (NCTM), the National Research Council, the Mathematical Sciences Education Board, and the Board on Mathematical Sciences emphasize that coordinated improvement in the content of mathematics curriculum, classroom instruction, and teacher education is the key to improving mathematics…

This issue of "Investigations in Mathematics Education" contains: (1) a review of E. Fischbein's book "The Intuitive Sources of Probabilistic Thinking in Children;" (2) nine abstracts of research studies in mathematics education; (3) a list (by EJ number) of mathematics education research studies reported in the January to…

The use of futures research to improve a college's ability to deal with changes brought about by social, economic, political, and technological developments is discussed, with attention to new planning strategies and forecasting methods. While traditional long-range planning tracks and forecasts the institution's internal development, strategic…

Immersion is defined as a method of foreign language instruction in which the regular school curriculum is taught through the medium of the language. The foreign language is the vehicle for content instruction; it is not the subject of instruction. Different questions pertaining to the following subjects are answered: (1) long-range goals of a…

This bulletin focuses on three developments related to evaluation. First, the plans and initial work of the Mathematical Sciences Education Board, formed in 1985, are described. The Board's goals, its view of the major challenges in mathematics education facing the nation's schools, and its plans are discussed. The development of a design for…

Current assessment practices in the classroom can affect the movement toward a child-centered curriculum in mathematics education. The mathematical community is addressing the challenge to implement standards in the areas of testing, assessment, and accountability in order to maintain this movement. This digest: (1) discusses what makes current…

This publication is an abstracted compilation of 11 investigations. The information includes purpose, rationale, research design and procedures, findings, interpretations, abstractor's comments, previous research, procedure and statistical methods, and further research. Contained within are: (1) "Gender-Based Differential Item Performance in…

Given recent research that encourages more frequent use of the discussion method in teaching, this digest reviews the role of instructional conversations (ICs) in second language learning. ICs, instructional in content and conversational in quality, offer natural and spontaneous language interactions that are free from the didactic characteristics…

This digest discusses the origins of Howard Gardner's Theory of Multiple Intelligences, his definition of intelligence, the incorporation of the theory into the classroom, and its role in alternative assessment practices. Gardner defines intelligence as the "capacity to solve problems or to fashion products that are valued in one or more…

In this conference proceedings the overarching theme of research on teaching and learning mathematics in diverse settings and the subthemes of diversity, constructivism and algebra are achieved in the plenary papers. The plenary papers and authors include "Constructivist, Emergent, and Sociocultural Perspectives in the Context of Developmental…

The conference proceedings volume for PME-NA-XIX contains a total of 72 reports: 34 research reports; 20 short oral reports; 11 poster session reports; and 7 discussion group reports. Only the research reports are full reports; the others are generally one-page abstracts. The full reports include: (1) "Equity, Teaching Practices, and Reform:…