This paper discusses some difficulties in teaching introductory courses to programming, paying particular attention to their mathematical nature. We consider some aspects, which have not been commented in detail in textbooks and often neglected by course outlines and schedules. Some of these are constructing complex conditions, exceeding array…

This paper presents research conducted as part of the field test of the University of Chicago School Mathematics Project's (UCSMP) curriculum, Fifth Grade Everyday Mathematics. The UCSMP curriculum is one of the current reform programs funded by the National Science Foundation to implement the Standards of the National Council of Teachers of…

In this paper four programs are described in which children learn multidigit number concepts and operations with understanding: (1) the Supporting Ten-Structured Thinking projects, (2) the Conceptually Based Instruction project, (3) Cognitively Guided Instruction projects, and (4) the Problem Centered Mathematics Project. The diversity in these…

A widely adopted National Diffusion Network program, Diagnostic Prescriptive Arithmetic, teaches elementary arithmetic skills through games and other concept-building activities. Practical math applications and problem-solving techniques are emphasized. (SK)

Illustrates the multiple strategies used by second graders to solve a problem with three addends and how their teacher tries to map their thinking into the system of mathematical notation. Describes the American Federation of Teachers' Thinking Mathematics program that the teacher uses. (MKR)

This publication offers excerpts from the National Courses of Study revised by the Ministry of Education in Japan. The first section discusses curriculum for kindergarten. It states that lessons must be presented at least 39 weeks a year and the standard number of class periods per day should occupy four hours. Content is classified into four…

Six classes received problem-centered mathematics instruction for two years in second and third grade. Results indicate that students in these classes scored significantly higher than students in traditional classes on standardized measures of computational proficiency and conceptual understanding. (TO)

The Massachusetts Board of Education recently adopted a 5-year plan to assist Local Education Agencies (LEAs) in the curriculum areas of reading, writing, arithmetic, science, and computer literacy. However, reduction in funds and staff at the LEA level has decreased the ability of local programs to implement marketing and assistance. This manual,…

Four sequential Basic Skill Levels (levels G, H, HA, and I) of a self-paced, individualized mathematics program designed to improve the achievement of junior high school students are presented in this student workbook. Each level includes a pretest, four to seven lessons, quizzes (checkpoints) after each fourth lesson, a posttest, and a level…

Six sequential Basic Skill Levels (levels A through F) of a self-paced, individualized mathematics program designed to improve the achievement of junior high school students are presented in this student workbook. Each level includes a pretest, seven to 10 lessons, quizzes (checkpoints) after each fourth lesson, a posttest, and a level review…

Five sequential Basic Skill Levels (levels J, K, L, M, and MA) of a self-paced, individualized mathematics program designed to improve the achievement of junior high school students are presented in this student workbook. Each level includes a pretest, four to six lessons, quizzes (checkpoints) after each fourth lesson, a posttest, and a level…