A list of potential writing ideas and general guidelines to be used in integrating writing into the mathematics classroom are provided. Ideas under the headings of narrative, descriptive, and expository writing are included. (KR)

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…

How do teachers conceptualize and deal with context of mathematics word problems in their teaching? This question is discussed based on a study of 14 experienced teachers at the elementary, junior high and senior high school levels. Bruner's notions of paradigmatic and narrative modes of knowing formed the basis of analysis of data from sources…

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…

In Japan, assessment in classroom teaching cannot be considered apart from classroom lessons. This paper describes typical mathematics classroom situations and some of the developments in classroom assessment underway in Japan. The first section of the paper discusses classroom teaching, including whole-class instruction, discussion, objectives,…

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 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…

Based on suggestions of participants at the second annual Instructional Methods Forum held in June 1989, the monograph considers cognitive-based approaches to teaching mathematics to students with learning problems. It addresses identification of characteristics of successful cognitive approaches and the role of media and materials. An…

Hypothesizes that exploring the mathematical ideas behind mathematical terms enables children to gain insight into the structure of a number system and provides a basis for powerful playing with this structure. Describes visualizing mathematical ideas for exploring aspects of mathematics. Offers rectangular numbers to link and explore structures…

Results are presented from two intervention studies which investigate whether encouraging elementary students to generate drawings of arithmetic word problems facilitates problem-solving performance. Findings indicate that fifth graders (N=50) generated many drawings of word problems and improved problem solutions after the intervention, whereas…

Students are to learn an explicit definition for fractions and then use it to illustrate and solve problems. All computations involve whole-number operations, and may be used with students in grades five-nine. Two transparencies and four worksheets are included. (MNS)

This article uses a cognitive problem-solving model to explore the application of hypermedia authoring software to mathematics in general and to mathematical problem solving in particular. Hypermedia is presented as a method of exploring alternative solution processes to remediate or prevent learning problems. (JDD)

This study investigated the effectiveness of a schema strategy on the addition and subtraction word problem solving performance of four sixth and seventh grade students with learning disabilities. Students were taught to map features of the word problem onto problem schemata diagrams, first for one-step problems and then for two-step problems. A…

Presents an alternative to traditional story-problem instruction in which students write their own mathematics stories about familiar situations involving problems that can be resolved with the aid of mathematics. Provides excerpts from a typical class discussion to resolve the problem. (16 references) (MDH)