It is possible to get prospective elementary school teachers to learn interesting mathematics well by not only requiring that they learn the material in a mathematics course but also requiring that they teach it as part of an enrichment program at the middle school level. This article discusses the reasons for such a course, and describes a…

This article describes two instructional activities carried out in a ninth-grade Romanian classroom and suggests a number of reading and writing strategies that can be used to assist students in understanding and solving mathematics problems. (Contains 1 figure and 1 table.)

One of most notable features of existing body of research in transition seems to be the absence of a theoretical model. The suggestion we present in this paper--to view and understand the high school to university transition in mathematics as a modern-day rite of passage--is an attempt at defining such framework. Although dominantly reflecting…

In New South Wales the focus on assessment "for" learning requires teachers to consider carefully the alignment between assessment, curriculum, and pedagogy. This emerging agenda in teacher education seeks to ensure that assessment practices provide advice to teachers about what students know and where teaching might be directed to…

The Wednesday before Thanksgiving presents a challenge to teachers in many U.S. schools. Some students are absent because they are traveling to be with their extended families for the holiday. Other students, assuming that nothing important will happen at school when so many of their peers are absent, may also be absent. One school's solution to…

A standards-based approach to mathematics involves using story problems to allow students to investigate a solution. This approach emphasizes an understanding of concepts and processes and assumes mastery of basic computation skills. This article will encourage teachers to continue teaching standards-based mathematics and to take advantage of…

Computer algebra systems (CAS) have been around for a number of years, as has dynamic geometry. Symbolic geometry software is new. It bears a superficial similarity to dynamic geometry software, but differs in that problems may be set up involving symbolic variables and constants, and measurements are given as symbolic expressions. Mathematical…

This article focuses on the Thinking Through a Lesson Protocol (TTLP) that is intended to facilitate the design of lessons based on cognitively challenging mathematics tasks. Included is a discussion of the key features of the TTLP, suggestions on ways in which the protocol can be used as a tool for collaborative lesson planning, and a discussion…

Over the past three years, Patricia L. Scriffiny has transformed the grading system in her high school mathematics classroom by replacing the traditional points-based system with a standards-based system. Instead of assigning points for assignments, she lists student progress toward meeting clearly defined course objectives. In this article,…

This study is part of a large research and development project aimed at observing, describing and analyzing the learning processes of two seventh grade classes during a yearlong beginning algebra course in a computer intensive environment (CIE). The environment includes carefully designed algebra learning materials with a functional approach, and…

This article describes the use of digital images of real-life phenomena and interactive software to carry out mathematics investigations. (Contains 13 figures.)

This article presents an instructional delivery method, termed response cards, that has received empirical validation in several studies. With various federal and state mandates and measures of accountability, schools are under increasing pressure to use methods that have received validation of their effectiveness in research studies. Response…

This article, reprinted from "Arithmetic Teacher" in 1979, as part of the "MT" 100 celebration, discusses the importance of fractions.

Usiskin takes another look at fractions, years after writing the article "The Future of Fractions" for "Arithmetic Teacher."

The paper discusses findings of a study that investigated Malawian students' meanings for some probability vocabulary. The study explores the meanings that, prior to instruction, students assign to some words that are commonly used in teaching probability. The aim is to have some insight into the meanings that students bring to the classroom. The…