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)

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)

Discusses a technique for graphically composing functions. Describes three-step composition procedures in two- and three-dimensional rectangular coordinate systems. Provides three examples. (YP)

Presents a device for sketching the graph of the composite and inverse of single variable real-valued functions. Discusses some didactic methods of paths. (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)

This paper presents a method of assessing math anxiety based on self-reported descriptors used to evaluate various personality traits in college students. A secondary purpose of the paper is to report the results of applying such an inventory to a group of college mathematics students. (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…

Discusses the nature and importance of iconic learning (image-related) and a medium to facilitate assessment at the iconic level of knowing. The medium consists of a series of self-inking rubber stamps made with iconic representations of numeration blocks and sticks in denominations of 1, 10, and 100. (JN)

Describes a general education course addressing the linguistic and logical aspects of the language of mathematics which is intended to develop students' abilities to read mathematics, express mathematical thoughts clearly, reason logically, and grasp the nature of proof. Students improved their algebraic procedural skills and attitudes toward…

Contains a research based discussion of the importance of teacher expectations. Lists 20 suggestions from research that will help facilitate positive and realistic self-concepts in students. (PK)

Promotes mathematics instruction that goes beyond computation and problem solving, attempting to make children the "posers of problems." Addresses differences in hemisphericity, processing, and learning styles, as well as maturation differences, sex differences, effects of stimulation, enriched environments, emotion, and the control of attention.…

Describes the psychological analysis of the instruction of the concept of multiplication in the former Soviet Union. Presents a system of instructional situations in introducing multiplication and the main results of instruction for grade two. (MDH)

Focuses on the language used by elementary mathematics teachers and its relationship to students' understanding of mathematical concepts, as well as their misconceptions. Describes eight situations in which the use of precise, formal mathematical terms could be replaced by informal language, particularly when introducing new concepts. (TW)

Describes a form of adaptive communication, referred to as single switch technology, as a method for assessing and developing mathematics skills of speech and motor disabled students. Provides a BASIC program to illustrate a basic single switch mathematics program. (MDH)