This guide was developed by the Albany area schools in recognition of the different needs, learning rates, and abilities of students. Three major areas of mathematics (computational skills and concepts, problem solving, and measurement) are included. A master list of competencies and performance indicators is given, as well as a list of…

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…

An audiotutorial approach to problem-solving in college chemistry relying upon audio tapes is available. The program is designed to increase the teacher's effectiveness by providing individualized attention to student difficulties related to problem-solving. Problem solutions are recorded on audio tapes (designed for use with Sony TC-160 cassettes…

Reports the third grade and seventh grade results of the fourth mathematics assessment of the National Assessment of Educational Progress. Summarizes the major results of the performance on number, operations, and word problem items. Some examples of data are given. (PK)

Within a major numeracy project, there were marked differences in achievement between classes, which, as reported in Sullivan and McDonough (2002), we attribute to the teachers. To gain insights into the practices of effective teachers, six case studies of highly effective teachers at the Prep (first year of school) to Grade 2 level were…

Puzzles, games, and activities provide perfect opportunities for students to work in groups, interact, communicate with each other, and discuss strategies. The activities, games, and puzzles contained in this book are designed to help students learn mathematics in a fun yet challenging way. The activities are designed to encourage students to…

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

This profile is designed as a recording sheet for monitoring an individual student's progress throughout the school year. Sixth 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 levels of…

Offers seven criteria for developing mathematical thinking, plus suggestions for teaching and assessing students' progress that are compatible with each learning criterion. Provides evaluation sheets that help the teacher assess and grade students on the criteria. (10 references) (MDH)

The interaction of reading and computational abilities in solving mathematics word problems was investigated with the responses of about 20,000 fourth graders and 20,000 eighth graders to items from the Iowa Tests of Basic Skills. Item responses exhibited different types of interaction, a finding with implications for item-response theory…

Examined the mathematical beliefs and achievement of 62 elementary school students from a school at which teachers were participating in a project to improve mathematics teaching. Found that students who enjoyed mathematics were also confident of their math abilities and that there was little correlation between parental support and student…

Describes two lessons in which a fifth grade teacher emphasized the mechanics of mathematics, such as carrying out various computational procedures, to her students. The first lesson introduced students to the concept of averages. In the second lesson, the teacher conducted class surveys to provide data for computing averages. (BB)

Develops the idea of fractals through a laboratory activity that calculates the fractal dimension of ordinary white bread. Extends use of the fractal dimension to compare other complex structures as other breads and sponges. (MDH)

Discussed is the idea that, if students are allowed to use calculators when doing classwork, they should be allowed to use calculators on tests. Examples of calculator-active items are presented that are designed to accurately assess students' learning. (KR)

A mathematics achievement test was taken by 132 U.S. and 110 Japanese fifth graders. Scores were higher for the Japanese, and relatively better for computation than problem solving. The reverse was true for the U.S. students. Results are discussed in terms of amount and kind of exposure to mathematics. (SLD)