Place value is a phenomenon that has ominous implications for developing number sense and meaning and for using alternative algorithms and alternative representations within whole number arithmetic. For the most part, school programs examine place value at a surface level, with a primary focus on having the student identify or state a number value…

Matrix organization can be used to construct math word problems for children with mild disabilities. Matrix organization specifies the characteristics of problems, such as problem theme or setting, operations, level of computation complexity, reading vocabulary level, and need for classification. A sample scope and sequence and 16 sample word…

Performance on mathematics word problems was compared for 197 students (grades 3-8) with mild disabilities and 210 nondisabled students. Students with disabilities performed at significantly lower levels than typical students. Significant effects were also evident for grade and type of mathematical operation (addition, subtraction, multiplication,…

This paper discusses the "Curriculum and Evaluation Standards" (produced by the National Council of Teachers of Mathematics) that are of particular relevance to mildly handicapped children. Concepts discussed include curriculum and instruction, need for a broad spectrum of mathematics, problem solving, vocabulary, emphasis on understanding, and…

This study used the Assessment Standards of the National Council of Teachers of Mathematics to evaluate the appropriateness and adequacy of selected standardized tests of mathematics achievement as they pertain to students with disabilities. Problems with content validity included inadequate representation of content domains, inappropriate…

This is the second of two papers that propose an expanded and enriched view of arithmetic problem solving by stressing the need to provide learning activities that include problems of varying structures. The first paper included a framework for the enhancement of text-based problems. This second paper proposes a scheme for the development of…

Thirty-one students (ages 8-14) with learning disabilities or behavior disorders solved arithmetic word problems while a narrative protocol was developed. Eight types of cognitive processing difficulties were identified (such as lack of self-correction and inclusion of extraneous information), and the utility of protocol analysis as an assessment…

Normally achieving students (n=119) and students with mild handicaps (n=83) in grades 3-6 were instructed to create and answer computation items similar to samples given. Students with mild handicaps understood item characteristics enough to create like items, though averaging three years behind normal achievers. A sample instructional activity is…

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…

The overall purpose of this paper is to describe a practical and useful approach to mathematics assessment that is meaningful to teachers, students and families. The format is highly flexible, yet specifically designed to provide detailed information as to the performance characteristics of the student and a variety of curricula and instructional…