Introduces an introductory module for analysis. Describes stock of basic functions and their graphs as part one and three methods as part two: transformations of simple graphs, the sum of stock functions, and upper and lower bounds. (YP)

Research on learner's beliefs are summarized in the areas of beliefs about mathematics as a discipline, beliefs about learning mathematics, beliefs about mathematics teaching, and beliefs about self within a social context in which mathematics teaching and learning are occurring. (PK)

Proposes elements of a model of knowledge structures used in comprehending and generating graphs. Uses the competence model to attempt to organize and interpret findings on misconceptions in graphing. Discusses two types of common misconceptions; treating the graph as a picture and slope-height confusions. (YP)

Presents the major findings identified by a commission that examined research issues in diagnostic and prescriptive mathematics. Addresses the diagnostic process with regard to curriculum, instruction, learners, teacher education, clinics, and the mathematics education community. (TW)

Describes the four competencies which are argued to be necessary for being an effective remedial mathematics teacher. Describes a training model which has been developed for preservice and inservice teachers based on these competencies. (PK)

Describes a study designed to investigate the relationship between students' learning of the standard double-digit addition algorithm and basic fact mastery or numeration concepts. Results suggest basic fact mastery and knowledge of numeration concepts may not be as necessary as previously assumed to learning multidigit addition. (PK)

Differences in the meaning of the terms "learning" and "achievement" are discussed, with implications for appraisal, placement, curriculum, and instruction. Visual discrimination learning, paired associate learning, adapting to learning, and learning to learn are illustrated with references to learning disabled students. (MNS)

Two authors introduce the topic of visualization in mathematics education. Fourteen articles are briefly described. (YP)

Describes a research methodology known as the teaching experiment and details an example of a teaching experiment aimed at the development of a process-oriented algebra curriculum. Addresses other possible variations of the teaching experiment, emphasizing the cooperation of teachers and researchers. (TW)

The study investigated which addition facts children and preservice teachers view as being difficult, whether it is possible to determine facts which are difficult for all children, and whether children and adults agree on which facts are difficult. Results indicated that children and adults disagree about the difficulty of facts. (PK)

Describes mathematics education programs in Texas schools. Emphasizes the mastery of skills and concepts, as well as problem solving. Presents the philosophies of the mathematics programs for elementary schools, and for grades seven and eight. Addresses remediation, enrichment, time allotment, content, recommended manipulative materials, and…

Reviews visualization research concerning the objects of visualization, the visualization process, and visualization in educational situations. Teaching procedures, the role of material and the social environment, and how the individual interacts with that environment are described. (YP)

Reports on a study designed to document that learning-disabled (LD) students make errors in estimating the passage of short time durations, and to determine if LD students were different than nondisabled in time estimation. Non-LD and LD students differed significantly in estimations of 15-second intervals, but not 3-second intervals. (PK)

Reports on research designed to systematically examine how the use of personalized word problems as practice examples would affect learning and attitudes. A computer program was used to generate the problems. It was concluded that presenting problems in familiar contexts made materials more interesting and understandable for students. (PK)

This study surveyed 91 special education teachers to determine perceived mathematical needs of exceptional children, ways teachers assess skill deficits, and teachers' methods and backgrounds. The continuum of skills corresponded to the standard curriculum. (MNS)