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 1987 yearbook contains 14 articles which…

The effectiveness of an instructional improvement project in the Greeley-Evans Schools, Colorado, was studied. Teachers were provided inservice education in a class called the Essentials of Instruction. Recognizing that receiving training was not the same as being an implementer of the innovation, the Levels of Use instrument identified teachers…

Determining which brand of a product is the best buy for a specific use is the challenge of this Unified Sciences and Mathematics for Elementary Schools (USMES) unit. The challenge is general enough to apply to many problem-solving situations in mathematics, science, social science, and language arts at any elementary school level (grades 1-8).…

This Unified Sciences and Mathematics for Elementary Schools (USMES) unit challenges students to find ways to help themselves and/or others adapt to new situations (including school and community facilities). The challenge is general enough to apply to many problem-solving situations in mathematics, science, social science, and language arts at…

This Unified Sciences and Mathematics for Elementary Schools (USMES) unit challenges students to improve the safety and convenience of a pedestrian crossing near a school. The challenge is general enough to apply to many problem-solving situations in mathematics, science, social science, and language arts at any elementary school level (grades…

In this set of four booklets on collecting data, primary grade students learn how to record data, do an experiment, make an opinion survey, and choose a sample. The major emphasis in all Unified Sciences and Mathematics for Elementary Schools (USMES) units is on open-ended, long-range investigations of real problems. In most instances students…

In this set of six booklets on collecting data, intermediate grade students learn how to collect good data, round off and record data, do an experiment, make an opinion survey, and choose a sample. The major emphasis in all Unified Sciences and Mathematics for Elementary Schools (USMES) units is on open-ended, long-range investigations of real…

Variations in classroom instruction were observed, and related to student achievement in reading and mathematics. A six-construct model was applied to data on students and instructional practices in sixty second grade classrooms at nine geographic sites, seven of which were sponsored by Project Follow-Through. The constructs were: (l) initial…

Alternative theoretical approaches influencing the research design of the Beginning Teacher Evaluation Study are discussed. One line of research used an Experimental Teaching Unit (ETU) to create a semi-standardized situation for comparison of teachers. Though this approach introduces a uniformity which appears to increase comparability, it is at…

Described and summarized are the results of a program designed to improve the intellectual, academic, and linguistic functioning of children in a linguistically and culturally mixed setting. The program, Multicultural Improvement of Cognitive Abilities (MICA), was installed and supported by project staff in nine participating classrooms under two…

Prepared by the State of Iowa Department of Public Instruction, this pamphlet is intended to be an aid for local curriculum committees who are developing and implementing the mathematics and science components of their school's multicultural, nonsexist education plan. Included are definitions of key terms, rationale and philosophy, legal…

Prepared by classroom teachers for the infusion of career education into existing curriculum, these teacher materials are designed to accompany the "Career Capers" for grades 4-6 (CE 023 598). Monthly distribution to the classroom teacher by an administrator is suggested for these supplemental materials. Factivities for grades K-3 emphasize career…

Cost, resource utilization, and productivity were studied in 41 elementary schools using Individually Guided Education (IGE) and in 15 matched pairs of IGE and non-IGE schools. Instructional expenditures in IGE and non-IGE schools did not differ significantly. However, IGE teachers devoted significantly more time to individual instruction. A…

This document was developed to provide some perspectives on the use of case studies and other clinical approaches in mathematics education. A large portion of the paper contrasts several research strategies, discussing in detail some of the procedures and results of three distinctive types of clinical studies. The perspectives and the premises of…

A LEARNING MODEL TO IDENTIFY FACTORS CONTRIBUTING TO THE DIFFICULTY OF A PROBLEM ITEM WAS SUPPORTED EMPIRICALLY, AND INDICATED THAT THE NUMBER OF STEPS REQUIRED TO SOLVE A PROBLEM WAS THE MOST IMPORTANT VARIABLE IN PREDICTING BOTH ERROR PROBABILITY AND RESPONSE LATENCY. THE MODEL, IN ORDER TO ESTABLISH DIFFERENTIAL PREDICTIONS OF DIFFICULTY IN…