We examined the type of errors on multiplication and division computation problems of 326 rising fifth graders enrolled in four elementary schools in Northern Portugal. We further examined whether there was a difference in the number of errors across age and whether there was an association between students' performance on number knowledge and…

Develops a diagnostic framework that supports teaching and learning in situations that are suitable for students having difficulty in addressing basic problems. Uses data collected from 47 students in a senior mathematics course. Contains 63 references. (Author/ASK)

The thinking-out-loud procedure provides teachers with an excellent mechanism for collecting information about students' thought processes and affective states during problem solving. Mathematics teachers can implement this process by modeling it during whole-class problem-solving sessions, proceeding slowly and encouragingly, working with small…

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…

A model of qualities of mathematical activity was developed within a framework of learning goals. A clinical application of the model is described, in which ninth-grade students were given assignment projects. A hierarchy of effective guidance was established, permitting diagnostic evaluation and progressive development of mathematical activity.…

An experiment is described which started with exploratory interviews, evolved to design and administration of diagnostic tests, and led to the preparation and use of calculator-enriched teaching materials. (MP)

A summer program for in-service elementary teachers is described. Five topics were the focus: diagnosis and analysis of achievement, designing instructional sequences, concrete manipulative materials, puzzles and games, and problem solving. (MNS)

The conference focused on problems and issues confronting collegiate mathematics educators in the preparation of preservice teachers and the assisting of inservice teachers. Five invited presentations are included in this document, plus reports from 15 discussion groups. Three of the presentations focused on inservice training on problem solving,…

Several competencies and instructional strategies necessary to accommodate the changing role of teachers of mathematics at middle-school level are described. Also provided are teacher-generated and teacher-tested instructional activities that can be used to facilitate student success in learning mathematical concepts. After describing the…

Papers from three annual conferences of the Research Council for Diagnostic and Prescriptive Mathematics are presented. They are: "The Mathematics Clinic Model: Parents as Clinicians and their Effect on Achievement, Attitude, and Self-Concept" (Lee Wise and Janet Scheer); "Heterogeneous versus Homogeneous Item Arrangements in…

Students who study algebra are more likely to attend college than those who don't. A major hurdle for students in studying algebra is the transition from arithmetic to algebra. In response to overcoming this hurdle, the College Board and Educational Testing Service has developed "Algebridge," a teaching supplement that integrates…

Presented are assessment techniques to help improve instruction. Included are the formative assessment techniques observation and questioning, diagnostic interviews, and problem-solving-based investigations and the summative assessment technique of performance-based tasks. Examples of these methods are provided together with at-home activities…

Presents a diagnostic teaching unit in general science designed to identify effective learning strategies for seventh-grade students with learning disabilities or behavior disorders. The unit is intended to identify effective strategies for students in reading comprehension, mathematics problem solving, and memory. Detailed instructions for four…

Problem solving has become a focus of mathematics programs in Australia in recent years, necessitating the assessment of students' problem-solving abilities. This manual provides a problem-solving assessment and teaching resource package containing four elements: (1) profiles assessment items; (2) profiles diagnostic forms for recording individual…

Provided are the papers presented at a conference which served as an international forum on diagnostic and prescriptive mathematics education. They are: (1) "The Evolution of the Research Council for Diagnostic and Prescriptive Mathematics" by Robert Underhill; (2) "The Interaction of Knowledge and Cognitive Processes in Diagnosis…