When children's own strategies for solving mathematical problems are not connected to the way mathematics is taught in school, students fail to make sense of mathematics instruction and begin to "fail." This chapter adopts the position that student understanding of worthwhile mathematical content is the essential goal of mathematics education, and…

This manual is an instructor's guide for the utilization of the "CCA High School Mathematics Curricula: Advanced Algebra and Calculus" courseware developed by the Computer-based Education Research Laboratory (CERL). The curriculum comprises 34 algebra lessons within 12 units and 15 calculus lessons that are computer-based and require…

These bulletins contain reviews of a total of 86 publications recommended for use in adult literacy programs. The materials reviewed have all been determined to meet the following requirements: currently in print; adult oriented and interesting to learners; free of age, sex, and racial bias; appropriate to the reading level of beginning readers;…

The main concern of this paper is on the psychological processes of how students understand and solve mathematical word problems, and on how this knowledge can be applied to computer-based tutoring. It is argued that only a better understanding of the psychological requirements for understanding and solving those problems will lead to…

The purpose of this curriculum guide is to assist Training Specialists in teaching Adult Basic Education/General Educational Development (ABE/GED) students basic skills in language arts and mathematics. The guide begins with an introduction (purpose, overview, adult learner characteristics, teacher type), curriculum policies, curriculum structure,…

The purpose of this study was to find out whether students perform differently on algebra word problems that have certain key context features and entail proportional reasoning, relative to their level of logical reasoning and their degree of field dependence/independence. Field-independent students tend to restructure and break stimuli into parts…

This practicum addresses the need to organize a structured problem solving program for fifth and seventh grade students. The improvement of the students' problem solving skills and the enhancement of students' attitudes toward problem solving in mathematics were the main goals. The program implemented consisted of a structured problem solving…

Studied schemes involved in solving two-step arithmetic word problems in (n=1824) elementary schoolchildren in Israel. Compound schemes and combinations of operations were found to affect the difficulty level of the problems. Appendix includes two versions of the test instrument. (Contains 17 references.) (MKR)

For comparison with tests and curriculum in the United States, excerpts from mathematics sections of university entrance examinations in Japan are presented. The impact of tests tightly tied to curriculum is discussed, and test results are summarized. Sample student responses to the examinations are also reviewed. (SLD)

Developed by the ABCs of Construction National Workplace Literacy Project, these curriculum materials for the area of electrical and instrumentation contain a lesson that deals with reading charts and tables. The lesson consists of an objective, instruction, and 10 exercises. Three types of problems are provided in each exercise: "try…

Developed by the ABCs of Construction National Workplace Literacy Project, these curriculum materials for the area of electrical and instrumentation contain a lesson that deals with problem solving using charts and tables. The lesson consists of an objective, instruction, and 10 exercises. The objective for the lesson is for the student to learn…

Developed by the ABCs of Construction National Workplace Literacy Project, these curriculum materials for the occupational area of millwright contain a lesson that deals with reading charts and tables. The lesson consists of an objective, instruction, and 10 exercises. Three types of problems are provided in each exercise: "try…

Developed by the ABCs of Construction National Workplace Literacy Project, these curriculum materials for the occupational area of millwright contain a lesson that deals with problem solving using charts and tables. The lesson consists of an objective, instruction, and eight exercises. The objective for the lesson is for the student to learn to…

This paper discusses the use of process writing to assist middle and junior high school students in becoming competent, confident mathematical problem solvers and communicators. The process writing technique involves students in four recursive, overlapping stages in writing: rehearsing, drafting, responding, and revising. Students utilize this…

Presents a study of 87 second graders to demonstrate that achievement tests in primary mathematics emphasize pupil's lower-order thinking by comparing answers to interview questions from constructivist and traditionally instructed groups. Results indicated that constructivist instructed students demonstrated superior higher-order thinking on tasks…