This document offers instructional materials for a 60-hour course on basic math operations involving decimals, fractions, and proportions as applied in the workplace. The course, part of a workplace literacy project developed by Mercer County Community College (New Jersey) and its partners, contains the following: course outline; 17 lesson…

This research is part of the London-based Concepts in Secondary Mathematics and Science Project. It is derived from developmental psychology, with particular emphasis on the implications of the results to the teaching of mathematics in secondary schools. A basic premise is that if one first identifies the child's present level of understanding of…

Using science experiments in life science, chemistry, and physics, helps ground students' understanding of abstract algebra concepts in real-world applications. Hands-on activities connect mathematics with science in a way that is accessible to teachers and students alike. Each activity explores a scientific phenomenon, connecting it to algebra…

This activity book was designed especially for the classroom teacher who is constantly on the lookout for unique and interesting ways to challenge the students' learning capacity in the area of elementary mathematics. The material presented here places a strong emphasis on defining the particular skills to be covered in each activity. All the…

Two issues were investigated in this study: (1) how well do children do descriptive statistics (i.e., accuracy); and (2) how do they do it. A total of 31 children in third grade (with no formal instruction in statistics) and 31 children in sixth grade (who had learned how to calculate a mean) compared a set of data from two domains: (1) the…

This bulletin provides general information about the achievement testing program and specific information about the design, the composition, and the scoring of the Grade 3 Mathematics Achievement Test in Alberta. Contents included are: (1) "General Information," describing the purpose, nature, and administration of the program; (2)…

The Van Hiele theory asserts that there exist five hierarchical levels of geometric thinking that a successful learner passes through. The purpose of the study described in this paper was to investigate the geometric understanding and misconceptions in students in the fourth through eighth grades who have been identified as gifted. The students…

The North Carolina End-of-Course Testing Program was established to provide student, school, and school system information about achievement in high school courses. This report describes: (1) "Characteristics of Algebra I Students"; (2) "Student Performance on the Core Test"; (3) "Combining Performance and Participation:…

The North Carolina End-of-Course Testing Program was established to provide student, school, and school system information about achievement in high school courses. This report describes: (1) "Characteristics of Algebra II Students"; (2) "Student Performance on the Core Test"; (3) "Combining Performance and Participation:…

The North Carolina End-of-Course Testing Program was established to provide student, school, and school system information about achievement in high school courses. This report describes: (1) "Geometry End-of-Course Test"; (2) "Scoring Geometry Proofs"; (3) "Characteristics of Geometry Students"; (4) "Student…

There has been considerable interest in mathematical understanding. Both those attempting to build, and those questioning the possibility of building intelligent artificial tutoring systems, struggle with the notions of mathematical understanding. The purpose of this essay is to show a transcendently recursive theory of mathematical understanding…

This skills pack is intended to assist basic numeracy tutors working with adults needing help with prenumber work, number concepts up to 10, time telling, and British money handling. The package includes notes on using the materials provided; materials for use in assessing student skills with respect to color and shape recognition, number…

This volume contains the papers and comments from the Workshop on Mathematics Education, a special session of the 15th Conference on Stochastic Processes and Their Applications, held in Nagoya, Japan, July 2-5, 1985. Topics covered include: (1) probability; (2) statistics; (3) deviation; (4) Japanese mathematics curriculum; (5) statistical…

Students who have the necessary computational skills can solve word problems in mathematics only if they can comprehend the language of the problem. In order to best teach reading comprehension of mathematical word problems, teachers should consider the following steps: (1) prepare for teaching a problem by analyzing the ways the problem can be…

This paper is a discussion of algebraic factoring. It is suggested that factoring is frequently presented in textbooks and by teachers without specifying one of the great values of this technique; that is, finding some of the factors of any number that can be generated by a particular polynomial. Concrete examples can help students understand the…