A probablistic approach to classification and diagnosis of erroneous rules of operations that result from misconceptions ("bugs") in a procedural domain of arithmetic is introcuced. Variability of response errors is explicitly treated through item response theory. As a concrete example, a signed-number subtraction dataset is analyzed.…

Illustrates how upper elementary grade students can develop an understanding of the invert-and-multiply algorithm. (CCM)

A computer-based curricular package was developed to teach elementary school students to solve arithmetic word problems and to teach problem solving skills applicable to situations not involving word problems. An information processing model for solving word problems was used to sequence the problems. Pilot test results with five students…

Offers a six-step model for showing young children how to handle story problems. (FL)

Use of prepartitioned models is proposed to help students construct a meaningful concept of fractions. Partitioning, geometric shapes as fractional models, concepts related to successful partitioning, and other benefits from partitioning experiences are discussed. Sample activities are suggested. (CW)

Describes five types of activities that elementary school teachers can use to help students understand decimals. These activities use money calculations, base-10 blocks, meter sticks, calculators, and problem solving. Specific examples are provided. (MDM)

Discussion of the use of computers for systematic individualization of instruction focuses on a study of elementary school students using computer-managed drill and practice in arithmetic in four different systems. A model for decision making in computer-managed practice systems is presented, and the role of the teacher is discussed. (43…

Findings from prior research are drawn together to create a learning model for elementary school mathematics in the cognitive-constructivist tradition. A potential teaching/learning process consistent with the model was developed and applied in a longitudinal collaborative arrangement between university personnel and a local elementary school…

Students in grades 1, 3, 4, 5, 6, and college were timed as they produced the answers to simple addition problems or verified a given problem as true or false. First graders clearly relied on a counting process for their performance, as advanced by the Groen and Parkman "min" (for minimum addend) model. Third grade appears to be a…

Proposes a theory of cognitive processes in doing and learning place value arithmetic. Discusses a computer model that simulates the learning of multicolumn subtraction under one-on-one tutoring to measure the relative difficulty of two methods of subtraction. The model predicts that regrouping is more difficult to learn than an alternative…

Ideas for an elementary level interdisciplinary teaching unit which were generated from a drive taken in the plains country of eastern New Mexico are presented. The purpose is to show what could be included in a unit on the immediate environment. In social studies classes, students can read a map of the area of the drive. An interest in history…

The Radio Mathematics Project was established to design, implement, and evaluate a prototype system of teaching elementary mathematics using radio as the major medium of instruction. Daily mathematics lessons were presented to first and second graders in rural and urban primary schools in Nicaragua. Lessons had a radio and a postbroadcast portion,…

This document summarizes the curriculum at the University of Tulsa School for Gifted Children in Oklahoma. The curriculum is based on enaction theory which postulates that thinking is a matter of running a simulation in one's head and involves three steps: (1) creating a mental model; (2) manipulating that model; and (3) developing a strategy for…

A systematic study of the composition and dispersement of Title I projects assigned to elementary schools in Philadelphia was conducted. Categorical variables were identified from four major derived variables (program density code, school aggregate fund, pupil service component, achievement-growth differential score) and four major demographic…

This report summarizes discussions of a working group meeting on the continuing education needs of early primary school leavers in Asia and the Pacific. An introduction summarizes the welcoming addresses. Chapter 1 presents highlights of experiences of these countries in providing continuing education to school leavers: Bangladesh, China, India,…