The aim of this unit is to assist teachers in the presentation of integers and the combining of like terms in algebra in a more interesting and meaningful way. This program was developed for use in mathematics classes, grades 7-12. The unit is a descriptive module on the teaching of integers using bingo chips to develop a concrete approach to…

This study documented the spontaneously derived strategies that children use which may play a key role in the transition from counting to recall of number facts. For these strategies, the child uses a small set of known number facts to derive the solution to unknown number facts. How training in the use of derived strategies influences the…

Provided are 121 mathematics activities for children aged 3 to 6. Sections include: (1) "Introduction" (describing how to use the book, how to communication with parents, what materials are needed, and how to begin, and also indicating cross-curriculum areas); (2) "Shapes" (describing 20 activities that provide children with an awareness of…

This document is part 2 of the workbook for grade 2 pupils in the Comprehensive Instructional Management System, a unified mathematics curriculum for kindergarten through grade 7. Each objective is developed by a variety of strategies, with mastery of objectives diagnosed through a testing component. The activities in the student workbook are…

This document is part 1 of the workbook for grade 3 pupils in the Comprehensive Instructional Management System, a unified mathematics curriculum for kindergarten through grade 7. Each objective is developed by a variety of strategies, with mastery of objectives diagnosed through a testing component. The activities in the student workbook are…

This is the teacher's manual to accompany part 2 of the workbook for grade 3 pupils in the Comprehensive Instructional Management System, a teacher-designed unified mathematics curriculum for kindergarten through grade 7. It is composed of a curriculum, a testing component, and a computer-managed reporting system. The curriculum is organized into…

This document is part 1 of the workbook for grade 4 pupils in the Comprehensive Instructional Management System, a unified mathematics curriculum for kindergarten through grade 7. Each objective is developed by a variety of strategies, with mastery of objectives diagnosed through a testing component. The activities in the student workbook are…

This mathematics textbook, written in Portuguese, is the third book of a Mathematics Program in Portuguese. It is designed for third graders. It closely follows the objectives and methodology of the major curricula used throughout the schools in the United States. The 11 chapters deal with: numeration (0-999,999); addition with and without…

Eight sixth-grade students received individualized instruction on the addition and subtraction of fractions in a one-to-one setting for 6 weeks. Instruction was specifically designed to build upon the student's prior knowledge of fractions. It was determined that all students possessed a rich store of prior knowledge about parts of wholes in real…

In order to describe developments in children's conceptions of numbers and numerical relations, judgments of similarities between numbers were solicited from adults and from children in kindergarten and grades 3 and 6. A nonmetric multidimensional scaling analysis suggested that children gradually become sensitive to an expanding set of numerical…

A problem-solving program supplemented by calculators in one treatment group was conducted in 63 grade 7 classes with about 1350 students. Teachers were provided with problems correlated with textbooks, and instruction for teaching problem-solving strategies. School districts provided calculators and problem-solving materials. Pretest scores…

A model of how automated and controlled processing can be mixed in computer simulations of problem solving is proposed. It is based on previous work by Hunt and Lansman (1983), who developed a model of problem solving that could reproduce the data obtained with several attention and performance paradigms, extending production-system notation to…

Formula budgeting procedures used in several states for allocating resources to public institutions of higher education are reviewed and criteria to be considered in developing a formula budget for public institutions in Pennsylvania is recommeded in this report. Section 1 summarizes the history of formula budgeting in Pennsylvania. Section 2…

A model for projecting the flow of faculty as a result of various decisions related to tenture is presented. This model uses the proposition that future tenure proportions are determined by additions and departures from the tenured and untenured faculties. Its most basic assumption is that the rates of these additions and departures will remain…

Reported is a field test of the basic numerical skills workbook developed for Navy personnel. Two groups of subjects were used at the Recruit Training Command, Orlando, Florida, during early 1980. The design of the workbook, entitled "Improving Your Navy Numerical Skills," was directed toward meeting the needs of personnel who have…