Discusses how students at the end of the French primary school-cycle (10- to 11-year-old pupils) resolve multiplication and related division problems within an assessment perspective taking into account the 3 factors of the problem's representational structure, the numerical values used, and the context of the problem statement. (25 references)…

Parents can encourage their children to become better mathematical thinkers. The article describes how to assist children with problem solving and presents activities that develop specific skills (estimating, counting, sorting, volume, fractions, multiplication, money, story problems, patterning, averaging, computation, magic squares, plane…

Analyzes the use of the commutative property for solving multiplication problems by children who learn about multiplication in schools and by street vendors who solve multiplication problem through repeated addition. Concludes that the use of commutativity to solve multiplication problems is closely related to the use of multiplication. Contains…

Describes the use of spreadsheets in a third grade class to teach basic mathematical concepts by investigating the existence of vampires. Incorporates addition and multiplication skills, patterning, variables, formulas, exponential growth, and proof by contradiction. (LRW)

Forty-one students in two third grade classes, including special education students, participated in an action research project conducted jointly by two university supervisors, three teachers, and three student teachers. The "Minute Math" project involved students in predicting and graphing their test scores on a weekly conventional timed test of…

This guide contains six sections which offer suggested sequential steps for teaching addition, subtraction, multiplication, division, fraction concepts and algorithms, and decimal fractions. Based on the manipulative approach, the guide offers activities and teaching methods which give students many opportunities to work with models. This approach…

Activities and teaching methods for developing an understanding of fractions are presented. The activities, which use mathematical models (visual representations of fractions), are divided into three sections: (1) equivalent fraction circles; (2) fraction bars; and (3) multiplication of fractional numbers using squares. Each section includes the…

The Educational Technology Center has attempted to develop a series of computer based learning environments to support the learning and application of multiplicative reasoning. The work and software described in this paper, including the teaching experiment that generated the error phenomena examined, is part of a larger ongoing research project.…

This teacher resource material was written from the perspective that it is possible to improve number fact learning in the primary grades, and in remedial situations beyond those years, in ways that: (1) will help children learn all facts; (2) will emphasize the process as well as the answer; and (3) by capitalizing upon natural extensions of…

Problem Solving in Mathematics (PSM), a program of problem-solving lessons for grades 4-9, is designed to be integrated into the regular mathematics curriculum. Although the content objectives of the lessons are similar to those of most textbooks, PSM emphasizes problem-solving skills and a variety of instructional strategies which foster the…

The purposes of this study were: (1) to develop a skills hierarchy for rational number multiplication using modified intraconcept analysis procedures developed by Uprichard and Phillips in two preview studies, and (2) to evaluate and modify the hierarchy using the Walbesser technique (AAAS) and pattern analysis. Subskills were delineated from two…

These are some of the individual materials needed by students using the Comprehensive School Mathematics Program's Mathematics for the Upper Primary Grades, Part III. The book of "Worksheets" contains materials that are labeled with the same letter and number as the lessons with which they are to be used. The booklets "Festival of…

This study attempted to identify the things that help elementary school students solve verbal problems. Among the types of things included for examination were: the attributes of problems, the tools used, and the problem transformations that were possible. The summary of findings is comprised of 29 diverse types of statements grouped under four…

This study was conducted to determine the relative effectiveness of the use of three different combinations of enactive, ikonic and symbolic representation in teaching multiplication to third-grade students. Ninety students in three classrooms were instructed in accordance with the assigned treatment for nine weeks. Groups were equated using the…

This form rates childrens' grasp of basic mathematical concepts and procedures. See TM 001 111 for details of the program in which it is used. (DLG)