This document contains a workshop presentation for elementary mathematics teachers. The purpose of the workshop is to demonstrate methods for teaching computational concepts beginning with concrete materials and moving to expressing these concepts abstractly with numerical symbols. Section headings are: (1) "Introduction"; (2) "Sorting and…

This monograph is aimed at helping the reader understand the built-in logic of various calculator operating systems. It is an outgrowth of workshop contacts with in-service and pre-service teachers of mathematics and is in response to their request for a book on the subject of calculator logic systems and calculator algorithms. The mathematical…

This paper examines sixth-grade children's thinking related to solving ratio and proportion problems before these children had received any instruction in the domain. It explores unitizing and norming, one of the processes identified by both content analyses (Behr, Harel, Post, & Lesh, 1990); Harel, Behr, Post & Lesh, 1990) and research in…

Designed to serve as a supplement for high school level mathematics, this publication contains activities which aim to enhance mathematical knowledge and skills and to assist students in understanding aerospace technology and its achievements. This volume updates an earlier supplement that was published in 1972. Problems are grouped into chapters…

The purpose of this skills assessment instrument is to determine if a student has the basic mathematics, reading, writing, and listening skills needed in training for office occupations. The instrument contains 29 items which test mathematical computation skills; reading comprehension; understanding of percentages and fractions; ability to read…

This report summarizes the data from a comparative study of grades 2 and 5 mathematics instruction and the use of Developing Mathematical Processes (DMP) in IGE and non-IGE settings. These results are part of a five-phase evaluation of the IGE system of elementary schooling. Use of DMP and reported adoption of IGE were not found to be good…

This learning module provides students with practice in applying mathematical operations to vocational agriculture. The module consists of unit objectives, definitions, information, problems to solve, worksheets suitable for various levels of vocational agriculture instruction, and answer keys for the problems and worksheets. This module provides…

This report on the Adult Math Skills Project includes sections on theory, empirical studies, and their implications. Section 1 presents an overview, noting that activity and setting are seen as mutually creating, sustaining, and changing the nature of problem solving. The empirical studies involved: (1) arithmetic practices among grocery shoppers;…

Edits that can be performed by the processor who applies for federal campus-based student aid programs are discussed, along with a longer-term approach to assessing the efficacy of recommended edit checks. Attention is focused on the accuracy of data submitted by institutions on the application portion of the Fiscal Operations Report and…

The card games in this publication are an alternative activity to help students master computational skills. Games for operations with whole numbers, fractions, decimals, percents, integers, and square roots are included. They can be used to introduce math topics and for practice and review, with either the whole class or in small groups with 2 to…

An intensive, naturalistic study tracked one six year old's learning for six months and more. The study was inspired by the hope that with concepts of Artificial Intelligence and sufficiently detailed observation, the path of knowledge development could be described through observing significant learning experiences. Included is a reasonably…

Focusing on plumbing, this module is one of eight included in the Vocational Education Readiness Test (VERT). The module begins by listing the objectives of the module and describing tools and equipment needed. The remainder of the module contains sections on manipulative skills, trade vocabulary, tool identification, trade computational skills,…

Five regional conferences designed for elementary supervisors and elementary mathematics educators were held in Ohio. The purposes of the conferences were: (1) to provide direction on the effective use of the calculator in the elementary school classroom; (2) to re-emphasize the importance of problem solving as a major curricular outcome; (3) to…

This secondary unit of instruction on the adding machine is one of sixteen Common Core Units in Business Education (CCUBE). The units were designed for implementing the sixteen common core competencies identified in the California Business Education Program Guide for Office and Distributive Education. Each competency-based unit is designed to…

This eighth grade mathematics guide is one of a series of guides, K-12, that were developed by teachers to help introduce environmental education into the total curriculum. The guides are supplementary in design, containing a series of episodes (minilessons) that reinforce the relationships between ecology and mathematics. It is the teacher's…