An understanding of fraction addition can be thought to involve two quantitative ideas: (1) the understanding that adding to an original quantity increases its size, and (2) a sense of how much increase occurs. Both of these ideas should underlie or inform a child's approach to problems involving fraction addition and thereby constrain the class…

This booklet designed for students in grades 4-8 provides 52 activities, including puzzles and problems. Activities range from simple to complex, giving learners practice in finding patterns, numeration, permutation, and problem solving. Calculators should be available, and students should be encouraged to discuss solutions with classmates,…

Models to assess the impact of a college on the local economy are examined. A primary objective was to derive equations for which data could be obtained from normal records kept by colleges, local governments, and businesses. The models, which are designed to be used by college presidents and their staffs, are linear cash-flow formulas, including…

Arithmetic programming for students with mild mental disabilities requires a comprehensive perspective that includes attention to curriculum, instruction, and appraisal. Arithmetic computation should not dominate educational programming, but should be included in ways that are functionally relevant and meaningfully presented within a framework of…

This monograph aims to provide teachers of grades 7, 8, and 9 with a variety of instructional activities and strategies that identify student difficulties in computing percents and teaching the skills needed for that cluster on the mathematics part of the New Jersey High School Proficiency Test (HSPT). Sections include: (1) "Concepts"…

This is the teacher's manual to accompany part 1 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 is the teacher's manual to accompany part 1 of the workbook for grade 4 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 is the teacher's manual to accompany part 1 of the workbook for grade 5 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 teachers manual accompanies a mathematics textbook, written in Portuguese, 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 regrouping; subtraction with and without…

This document describes an experimental program which is designed to help students from grade 5 to grade 7 who are working at or slightly below grade level maintain mathematics skills. Students receive nine home-study packets containing two to four lessons each. Parents must make a commitment to supervise the home-study. The 25 lessons presented…

This document describes an experimental program which is designed to help students from grade 5 to grade 7 who are working at or slightly below grade level maintain mathematics skills. Students receive nine home-study packets containing two to four lessons each. Parents must make a commitment to supervise the home-study. The 25 lessons presented…

A program is described that was developed, implemented, and evaluated at the P.K. Yonge Laboratory School at the University of Florida. It was designed to help middle school students to increase competencies in basic computation. The nine criteria guiding development were: 1) individualized instruction; 2) greater student responsibility for…

This is the final report for a study whose original purpose was to develop a general theory of the situational constraints imposed by the routines of everyday life on arithmetic skills. Section 1 reviews the goals laid out in the proposal in relation to what was accomplished. Section 2 is the draft of "Everyday Cognition: Its Development in…

This study was designed to follow up earlier work on mapping instruction. The two main goals were to: (1) test the effectiveness of mapping instruction as a general cure for "buggy" subtraction algorithms, and (2) explore two alternative explanations of how this new form of instruction works. It was hypothesized that mapping cures bugs…

Following instructions provided in the teacher's manual, the SCOPE Mathematics Achievement Test booklet for grades K-1 presents 11 mathematical concepts. Testing items include: building appropriate sets; matching equivalent sets; reproducing a given pattern; selecting and/or making an object that is bigger than or smaller than a given object;…