This document consists of three workbooks, one each for grades 6, 7, and 8. The workbooks are designed as review and refresher materials for mathematics. The emphasis is on word problems, all of which are written in German. The workbooks are part of a German language immersion program. (JC)

Two task were developed to assess second and fourth grade girls' ability to generate quantitative inferences and estimate answers to math word problems. The generation of quantitative inferences is thought to constitute problem representation, and the ability to estimate answers to word problems is facilitated by the presence of an accurate…

Underlying the research reported in this paper is a theoretical framework which defines the self-regulation of learning as the number and kinds of teaching tasks students perform themselves. Three studies are presented on individual differences in regulation-processes emerging from thinking aloud protocols. Protocols of good and weaker performing…

In this project, a plan for solving word problems based on the students' level of development was developed. A 10-week implementation of a plan for solving word problems at the concrete level of development included the use of a flow chart or plan to map out and solve word problems. Students then used the flow chart and manipulatives to develop…

In recognition of the fact that young children develop informal number concepts and strategies for solving several basic types of verbal addition and subtraction problems before entering school, but lose this ability after a few years of schooling, the study created and tested an intervention designed to build on the children's early insights. A…

Thinking Approach to Problem Solving (TAPS) is a decision-making model that will assist students, kindergarten through grade eight, to decide on the choice of operation in routine mathematical word problems. The TAPS algorithm, or plan, suggests that students read a word problem, determine the question to be answered in the problem, use concrete…

Discusses design and validation of a teacher-managed model employing programed-type learning materials for teaching college-level statistics which matches context of lessons to student background and interests. Current work in developing and field-testing a computer-assisted model of this type for teaching arithmetic concepts to elementary school…

In this paper, I explore two beliefs about learning and teaching that I argue are prevalent among educators. The first is the belief that subject matter expertise is sufficient for success in teaching. The second belief is that to learn a specific content area, one needs to begin with an understanding of the formal structure and abstract…

Zoo Zillions contains five activities for grades K-2: Annie's Jungle Trail, 3D Gallery, Number Line Express, Gnu Ewe Boutique, and Fish Stories. These activities enable children to review and practice basic mathematics skills; identify three-dimensional shapes, watch them in motion, and create their own three-dimensional designs; locate numbers…

This article describes the positive outcomes of a 3-week residential program on mathematics problem solving for gifted rising high school seniors. The program incorporated a curriculum that integrated five process standards espoused by the National Council of Teachers of Mathematics including problem solving, reasoning and proof, communication,…

Describes how using spreadsheets helped seventh grade algebra students develop problem-solving skills. Topics include the functional dualism of the spreadsheet as a text, uniting enactive and numeric modeling of word problems, new meanings and reciprocal learning, learning through problem "posing," higher levels of thinking, and decreasing…

A study investigated the mathematical problem-solving abilities of 18 fourth-graders with mathematics disabilities (MD) with and without comorbid reading disabilities (RD). Results demonstrated large deficits for both groups. However, the differences between students with and without RD were mediated by the level of problem solving and by…

This article describes "Hot Math," a third-grade intervention conducted with small groups of students with disabilities or in inclusive classrooms that fosters mathematical problem solving. Hot Math integrates two promising practices to promote mathematical problem solving, explicit instruction about transfer and self-regulation strategies.…

Examined is the relationship between junior high school students' directional reasoning about rates and numerical reasoning on proportion-related word problems. The relationship between the ability to solve context-free fraction exercises and the ability to solve mathematically similar word problems is discussed. (KR)

Studies of word problem solving of story problems are reviewed and six immature strategies commonly used by elementary and junior high school students are highlighted. Suggested are some recommendations for mathematics instruction. (YP)