This article explores how students learned to measure tall objects using a clinometer and some basic calculations. Such activities provide opportunities for students and teachers to learn the usefulness of linking mathematics content and science content to real-world problem-solving situations. (Contains 7 figures.)

Integrating mathematics with family and consumer sciences (FCS) has enabled youth to pass the Minnesota 8th Grade Math Basic Skills test. The test focuses on the eight content areas: (1) problem solving with whole numbers and fractions; (2) problem solving with percentage/ratio; (3) number sense; (4) estimation; 5) measurement; (6) tables and…

The abacus is a calculating tool that has been used in Asia for thousands of years. Mental abacus calculation is a skill in which an abacus image in the mind is used without the actual physical manipulation of the abacus. Using this method, people can perform extremely rapid and accurate mental calculations. Research indicates that abacus training…

The study describes students' patterns of thinking for statistical problems set in two different contexts. Fifteen students representing a wide range of experiences with high school mathematics participated in problem-solving clinical interview sessions. At one point during the interviews, each solved a problem that involved determining the…

This paper examines the idea that particular representations differentially support and enhance different cognitive processes, in particular different types of reasoning. Five case studies were conducted consisting of detailed observations of pairs of middle-school students interacting with a computer-based learning environment. The software…

College students often experience difficulties in solving physics problems. These difficulties largely result from a lack of conceptual understanding of the topic. The processes of conceptual learning reflect the nature of the causal reasoning process. Two major causal reasoning methods are the covariational and the mechanism-based approaches.…

The 12th iteration of the International Conference on Educational Data Mining (EDM 2019) is organized under the auspices of the International Educational Data Mining Society in Montreal, Canada. The theme of this year's conference is EDM in Open-Ended Domains. As EDM has matured it has increasingly been applied to open-ended and ill-defined tasks…

This teacher resource manual has been developed to assist classroom teachers in implementing the Integrated Occupational Mathematics program for grades 8 and 9. The first chapter of this manual gives an introduction including resources and scope/sequence. The next two chapters describe the overviews and instructional strategies of the grade 8 and…

The objective of this presentation is to focus on the use of a hand-held graphics calculator. The specific machine referred to in this monograph is the Casio fx-7000G, chosen because of its low cost, its large viewing screen, its versatility, and its simple operation. Sections include: (1) "Basic Operations with the Casio fx-7000G"; (2) "Graphical…

This workbook was designed as an easy-to-read, slower-paced text for students who have learning, reading, and language problems. As one of five workbooks to aid low achievers in problem solving, it focuses on using estimation to figure out what an answer to a mathematical problem might be. How to estimate using rounding and how to obtain a closer…

This collection of learning activities is intended for use in reinforcing mathematics instruction as it relates to the metal trades. Fifty activity sheets are provided. These are organized into units on the following topics: numeration, adding whole numbers, subtracting whole numbers, multiplying whole numbers, dividing whole numbers, factoring,…

This document outlines the 1985-86 Chapter I Corrective Mathematics Program in New York City. The program served 8,825 eligible students in 186 nonpublic schools. The major goals of the program were to alleviate students' diagnosed deficiencies in mathematical concepts, computation and problem solving and to assist students in applying these…

The results of an investigation of the development of children's knowledge of addition and subtraction concepts before they start school are detailed. The purpose of the study was to test the predictions of the three-stage model about the distinctions between the last two stages. Twenty-four children participated in the investigation. None of…

This compilation of reprinted activities is organized into five sections around the following topics: computational skills, calculators, geometry, measurement, and problem solving. The "Activities" section has been a regular feature of the Mathematics Teacher since 1972, and space limitations prohibited the inclusion of all previously published…

These instructional materials provide reading materials, recipes, and exercises to help students prepare for the practical reading section of the General Educational Development (GED) Tests. The passages can also help students learn and practice some important life skills in the areas of nutrition and food safety. Basic skill improvement is in…