Alarming questions are being asked of the teaching methods in present use. Are we maximizing the time on task in the classroom? Students (n=98) in a remedial mathematics course were studied for one semester and students (n=56) from a developmental mathematics course were studied in the second semester, at Tennessee Technological University.…

Proposes activities that promote students' awareness of the structure of the information involved in their everyday activities, and builds the concept of function from students' mental representations of phenomena. Recommends the use of spreadsheets to provide external representations of these functions. (DDR)

Discusses Einstein's special relativity theory and some of the developmental mathematics involved. Presents motivational classroom materials used in discussing relative-motion problems, evaluating a radical expression, graphing with asymptotes, interpreting a graph, studying variation, and solving literal and radical equations. (KHR)

Describes the habits of mind that would be most desirable for students to develop. In high school for example, content-specific habits would include geometric habits of mind that support the mathematical approaches, and algebraic ways of thinking that complement the geometric approaches. (AIM)

Addresses the early stages of children's introduction to the use of variables in formal algebraic notation. Describes a teaching approach that aims to situate the use of formal notation in meaningful contexts. Presents a study of a teaching sequence based on children working with this approach using graphical feedback in problem solutions. (AIM)

Describes a project incorporating movies, literature, games, and other resources into mathematics instruction. Focuses on cultural differences. (Contains 10 references.) (YDS)

Discussed are the idea, examples, problems, and applications of convexity. Topics include historical examples, definitions, the John-Loewner ellipsoid, convex functions, polytopes, the algebraic operation of duality and addition, and topology of convex bodies. (KR)

Outlines an instructional plan working within the existing structure of most colleges that produces higher levels of student achievement through the manipulation of time. Described are the objective-based unit design, group instruction, initial test, corrective procedures, and retest. Lists 10 references. (YP)

Compares the trends of women's and men's world records for the 800-meter run using the linear and power regression capabilities of a graphing calculator. (MDH)

Describes an activity in which students, grades 7-12, explore patterns and properties of repunits, an integer written as a string of ones. Includes extensions for exploring algebraic justifications. (MKR)

Discusses a visual programming language, Function Machine Lab, which helps students with the concept of function using the function machine image. (MKR)

The absolute-value scale, a manipulative that students can construct from a sheet of ruled notebook paper, helps to promote conceptual connections between the number line and the notion of absolute value as distance. This manipulative technique is particularly suited to students who are struggling with transitional abstract cognitive development.…

Computer spreadsheets, computer graphing software, and programable graphing calculators are each demonstrated in the computational process of numerical iteration as a problem-solving method. Examples, illustrations, practical tips, and a typical calculator program are included. (JJK)

Presented is the ancient Egyptian algorithm for the operations of multiplication and division of integers and fractions. Theorems involving unit fractions, proved by Fibonacci, justifying and extending the Egyptian or Ahmes' methods into the Hindu-Arabic numeric representational system are given. (MDH)

University students (n=158) were examined to determine whether first describing a mathematical relationship by a written English sentence would affect success in constructing an algebraic equation. Students using common idiomatic forms of English that could not be directly translated into mathematical notation were found to be the most successful.…