Presents a curriculum unit designed for average sixth-grade students intended to engage them in problem-solving experiences and to teach them problem-solving strategies. The curriculum consists of 20 sessions in which students engage in various activities using the following software packages: The Adventures of Jasper Woodbury, Rescue at Boone's…

Presents examples of word problems that can be used to illustrate the distributive property for preservice teachers. Includes examples involving extended sums, volume, area, prealgebra, place value, long multiplication, fractions, decimals, and algebra. (MDH)

Illustrates and discusses one class of strategies to solve word problems referred to as "number-consideration strategies." Contrasts actions and goals of students who focus mainly on number considerations with those of students who focus mainly on problem understanding. (MDH)

Describes "talk-through" model of peer teaching in which student pairs are asked to verbalize their thinking processes as they work through a mathematical problem. Lists five benefits of using this method. (MDH)

Presents a series of activities developed from the "Arithmetic Teacher's" regular feature entitled "Problem Solving: Tips for Teachers" to help students develop skills in each of the four steps of Polya's problem-solving process: (1) Understanding the Problem; (2) Making a Plan; (3) Carrying Out the Plan; and (4) Reflecting…

Suggests that using the iconic and computing features of a spreadsheet enhances the transition from natural language sentences to pictorial and numerical representations of algebraic word problems. Presents work performed in a lab setting with preservice and inservice teachers enrolled in contemporary general mathematics and problem-solving…

Using symbolic algebra to represent and solve linear equations is one of the expectations within the "Algebra" content standard for the 6-8-grade band in the National Council of Teachers of Mathematics (NCTM) "Principles and Standards for School Mathematics" (2000). Students' understanding of these concepts, even before a formal algebra course,…

This is the first of two papers that develop a framework and encourage discussion of research and programmatic concerns on arithmetic word problem solving. The two papers include a comprehensive framework for expanding the traditional three to five sentence word problem into a scheme that assures problems will be of a variety of structures and…

Recognition of the importance of (special) children's learning of mathematics in an active fashion has increased rapidly since the beginning of the 1980s. This book presents current ideas and trends in the teaching of mathematics and aims at giving an overview of new developments in the field of (special) mathematics and showing how researchers…

This set of learning modules was developed during a project to deliver workplace literacy instruction to individuals employed in the more than 50 businesses related to the activities of the Port of Baltimore. It is intended to help employees of port businesses develop basic math skills. The following topics are covered in the individual modules:…

A traditional view of mathematics learning suggests that basic fact knowledge provides a cornerstone for success in problem solving. But possibly, for some children, automated basic fact responses may be disadvantageous for their problem solving success. The purpose of this study was to investigate the relationship between basic fact knowledge and…

One of the five goals proposed in the National Council of Teachers of Mathematics' (NCTM) "Curriculum and Evaluation Standards for School Mathematics" is for students to become "mathematical problem solvers." To achieve this goal, the NCTM proposes fundamental changes in both the content of mathematics curricula and the…

The Arizona Essential Skills states that development of problem-solving ability is the top priority of mathematics education. This study presents results of a survey of 744 K-8 teachers--631 females and 113 males--designed to investigate the current nature of mathematical problem-solving instruction in Arizona K-8 classrooms and the extent to…

This collection of four papers deals with problem solving and the measurement of problem solving. "Climbing Up the Competence Ladder: Some Thoughts on Meaningful Assessment of Problem-Solving Tasks in the Classroom" by K. C. Cheung uses the metaphor of a competence ladder to represent the problem-solving continuum with progressive…

This report presents a summary of research being conducted at the University of Minnesota in which new technologies are being applied to development of cognition in hearing impaired learners. The study involved an application of concept analysis, information-processing theories, and group-based interactive technology in the teaching of…