Analyzed the role of explanations students provide themselves (self-explanation) in solving word problems. Results from six female ninth graders show how students' categorical self-explanations mediate their transfer from the sequential representation of the problem to the tabular one. (SLD)

A feasible instructional method for reducing failure in first-year algebra is the double-dose approach pioneered by Douglas MacIver. Two studies conducted in Roxbury, Massachusetts, and in Norfolk, Virginia, reveal the educational benefits of providing second math periods for ninth-grade algebra students. (MLH)

Discusses the ways in which online assessment of student understanding of previous lessons was used in an undergraduate linear algebra course. (ASK)

Examines how components of the concept of function (variable, domain, and range) and the process-object duality in its nature emerge as highly relevant to student learning in various mathematical contexts related to linear and abstract algebra. (Contains 22 references.) (ASK)

Explains the cooperative learning technique of jigsaw. Details the use of a jigsaw lesson for explaining complex numbers to intermediate algebra students. Includes copies of the handouts given to the expert groups. (Author/ASK)

Discusses the benefits of new technologies, especially graphing calculators, in the teaching and learning of mathematics. Presents two activities for teaching algebra and regression using graphing calculators. (ASK)

Reports the results of an investigation designed to help algebra teachers and curriculum developers by providing insights into how high-performing college algebra students (N=30) develop an understanding of major aspects of the concept of function. Results revealed that these high-performing students actually possessed weak understanding. Contains…

Examines a theoretical perspective on the ways in which children progress in learning mathematics. Suggests that there is difficulty in associating teaching discourses with the mathematics they locate that can result in an incommensurability between alternative perspectives being offered. Resists attempts to privilege any particular account but…

Uses qualitative analysis to understand how middle school students thought about and approached problems while they wrote descriptions of why and how they solve problems. Indicates that rich learning experiences are possible when writing is used as a way to prepare for small group discussion in mathematics. (Contains 13 references.) (Author/ASK)

This article provides step-by-step instructions for teaching secondary students with disabilities in inclusive settings how to solve beginning algebra problems, such as give an advance organizer, describe and model, conduct guided practice, conduct independent practice, and provide feedback. Ideas for providing independent practice and using…

Proposes an account of mechanisms by which students develop knowledge structures for modeling the physical world with algebra. (Author/CCM)

Introduces the use of the game Battleship to study the system of equations and the distance formula. (ASK)

Introduces the MATCH program which is based on both mathematics and chemistry and includes material development. (YDS)

This article first reviews the literature on the algebra performance of students with learning disabilities and provides reasons for their common difficulties. Some specific pedagogical practices are recommended, such as the use of the sequence concrete to representation to abstract. Suggestions for improving textbooks are also offered. (Contains…

For over a decade mathematics instructors have been using graphing calculators in courses ranging from developmental mathematics (Beginning and Intermediate Algebra) to Calculus and Statistics. One of the key functions that make them so powerful in the teaching and learning process is their ability to find curves of best fit. Instructors may use…