This book contains articles that help to further the process of reform in the middle grades, recognizing that the knowledge acquired during these years greatly affects how well the secondary school curriculum will attain its goals. Critical issues facing middle grade classes in particular and all mathematics classrooms in general are discussed.…

This standards document begins with a brief introduction and overview outlining and explaining a vision for mathematics teaching and learning in South Dakota, the purpose of the document, and the structure/organization of the document. Goals, rationales, and indicators for South Dakota Mathematics are also listed along with the South Dakota…

Teachers and teacher educators interested in synthesizing their current practice with new mathematics standards will welcome this highly useful volume. The QUASAR Project at the University of Pittsburgh presents prevalent cases of mathematics instruction drawn from their research of nearly 500 classroom lessons. The Mathematical Tasks…

The standards, benchmarks, and indicators in this document were created to help Kansas educators develop local curricula and assessments, and to serve as the basis for the state assessments in mathematics. The committee strove to recommend high yet reasonable expectations for all students. There are four mathematics curricular standards: (1)…

This profile is designed to be a recording sheet for monitoring an individual student's progress throughout the school year. Seventh grade assessment materials and the Strategies for Instruction in Mathematics suggest tasks and questions that can be used for on-going and summative assessment. Directions for use and descriptions of the four levels…

The Structure-of-Intellect Tests are shown to represent promising alternatives to the traditional commercial standardized tests now widely used in predicting success in modern algebra. (Author/NE)

Presented are a series of word problems which give students the opportunity to use or develop problem solving skills. The problems are open-ended, with possible answers included. (JP)

Three strategies were used to teach 39 community college students about partition of a set.'' Mean achievement of the Exemplification group on the exemplification test was significantly greater than the average of the means of the Characterization-followed-by-exemplification group and the Characterization-preceded-and-followed-by-exemplification…

The use of unipacs, activity units each covering one basic concept in second-year algebra and containing behavioral objectives, learning activities, and student self-tests, is described; details of class organization, scheduling, and evaluation of the course are given. (DT)

The philosophy and contents of a single one-year course preparatory to college algebra and trigonometry are presented. (MM)

Several brief articles are included in this section. "Purple Puzzlers" are challenging problems for algebra students. "Linear Invaders" is a game to reinforce concepts of graphing lines. "The Diagonal Method" is used to prove that the real and natural numbers cannot be put into one-to-one correspondence. (MNS)

Variations on a card trick are noted, with a formula for generalizing them. Another trick which can be proved with algebraic principles is then presented. (MNS)

The first presentation discusses a way of teaching second-year algebra students that the harmonic series diverges, and notes some issues in instruction on the concept of limit. A second item describes an approach to a warm-up drill claimed to be painless to construct and self-checking. (MP)