This introductory article discusses the field of mathematics education for students with learning disabilities, from 1950 to the present. Topics addressed include different perspectives on mathematics learning disabilities, student assessment, mathematics programming, and teacher preparation. The mathematics standards endorsed by the National…

Describes a professional development project to increase teachers' understanding of proportional reasoning, the thinking patterns associated with proportional reasoning, and the applications of proportional reasoning across the middle-grades curriculum. (YDS)

A survey investigated mathematical word problem-solving practices of 133 mathematics teachers of students with deafness (grades 6-12). Half of the teachers were from center schools and the other half from mainstream programs. Results found that regardless of instructional setting, students were not being sufficiently engaged in cognitively…

Discusses the application of probabilistic ideas, especially Monte Carlo simulation, to calculus. Describes some applications using the Monte Carlo method: Riemann sums; maximizing and minimizing a function; mean value theorems; and testing conjectures. (YP)

Illustrates three examples usually delayed until sufficient terminology, concepts, and methods have been developed unless using calculators or computers. The three examples are on exponential growth, triangle construction, and end behavior of certain function. Discusses the advantages of technology-enhanced mathematics teaching. (YP)

Six papers discuss concerns and research in mathematics education and reflect the diversity of approaches used in addressing substantive issues related to mathematics teaching and learning. Student, curriculum, and teacher are considered in empirical and conceptual studies, each of which also presents a review of the literature. (SLD)

Solves the problem of defining a smooth piecewise linear approximation to a given function. Discusses some alternative approaches to the problem. (YP)

Mathematics is perceived as a boring subject by some secondary students. Lists and describes 10 types of mathematical surprises across the secondary mathematics curriculum that help to make mathematics more interesting. (YP)

This is the position statement of the National Council of Supervisors of Mathematics describing the essential mathematical competencies that citizens will need to begin adulthood in the twenty-first century. Twelve components of essential mathematics, the learning environment, technology, evaluation, and extension of the essentials are described.…

This is an overview of changes that occurred in the mathematics curriculum in the six states of Australia, including Queensland, New South Wales, Victoria, South Australia, Western Australia and Tasmania. Changes related to goals, syllabus, guidelines and evaluation are described. (YP)

Discussed are trends in British mathematics education with special attention to practice. The importance and proper use of practical work, student-led activities, and matching instruction to student ability are emphasized. Lists 9 references. (YP)

This classic reprint was first published in 1955. Fehr discusses how to determine what is taught, and makes specific comments on the roles of planning, meaning, practice, learning, and problem solving. (MNS)

Summarizes several intervention efforts and programs dealing with the underrepresentation and lower achievement levels of minorities and women in mathematics. Suggests five directions for new approaches and an expanded research base. (YP)

Focuses on the place of discrete mathematics in the grades 9-12 mathematics curriculum and discusses how the topic of recursion should be taught. Presents several examples of recursion involving LOGO, spreadsheets, sequences, Pascal's triangle, and the Tower of Hanoi to illustrate its teaching. (MDH)

Examples are given of how teachers of students with hearing impairments can incorporate standards developed by the National Council of Teachers of Mathematics into the mathematics curriculum. Possible adaptations for teaching measurement skills to students with hearing impairments in grades K-4 and patterns and functions in grades 5-8 are…