Suggests methods of effective teaching that help the beginning teacher organize the classroom and develop relationships with other teachers and students. Suggestions include communicating with teachers, long-range lesson planning, information cards for students, and alphabetical seating charts. (MDH)

Describes a beginning secondary mathematics teacher's professional growth before and after teacher education. Interviews, observations, and analyses of videotaped lessons suggest that, if teacher educators want to increase the power of professional preparation, they should strengthen the relationship between academic learning and practical…

Presents a series of solution methods to the Eight Queens Problem of placing eight queens on a chess board so that no one queen can capture another. Solution methods progress from empirical approaches to the use of computer algorithms. Geometric transformations are used to find other solutions. (MDH)

Presents personal accounts of one teacher's efforts to change her teaching to the teaching standards proposed by the National Council of Teachers of Mathematics. Makes four suggestions to help mathematics teachers overcome the difficulties of changing their teaching style. (MDH)

Calculus must evolve or face the prospect of becoming irrelevant. The minimum level of classroom technology now available requires us to rethink the content of our calculus courses. Proposes using graphing calculators and computer algebra systems to include the following topics: local linearity, optimization problems, families of curves, and…

Computer labs using Calculus T/L were introduced into Calculus I classes at Christopher Newport University. A description of the labs, the instructor's experiences in using the labs, and student reactions are detailed. Contains instructions for Lab I involving inputting functions, finding difference quotients, and sketching a graph. (Author/MDH)

Presents results of a study of relationships between parents' education levels and the level their children's placement in a mathematics tracking system. Reports that college-educated parents are more involved and likely to intervene in their children's placement and decisions. Concludes that parent involvement at critical decision points helps to…

Presented are student activities that involve two standard problems from geometry and calculus--the volume of a box and the bank shot on a pool table. Problem solving is emphasized as a method of inquiry and application with descriptions of the results using graphical, numerical, and physical models. (JJK)

Presented is a guide for undergraduate mathematical composition with emphases on explicit and clear definitions, purposeful formatting with regard to technical conventions, and proper style with respect to content and prospective audience. Numerous examples are included, particularly those involving complicated mathematical expressions. (JJK)

Examines didactic interventions and claims their impact on pupil behavior aids the study of cognitive processes. Studies problem solving in teaching mathematics. Examines the functions of tutorial interventions in surface features and instability of representation. Finds tutorial interventions demonstrate a substantial increase in performance…

A mathematics staff development program engaged kindergarten through twelfth grade Georgia teachers in a constructivist approach to learning for use in the classroom. The Problem-Solving and Thinking Project emphasized that teacher and student learning is not done passively and that teachers must be taught as it is hoped they will teach. (SM)

The relationship between mental models used in problem solving and strategies children use when problem solving with manipulative materials are discussed. Teaching strategies for bridging the gap between the two are suggested. (CW)

This review of the introductory instructional substance of functions and graphs analyzes research on the interpretation and construction tasks associated with functions and some of their representations (algebraic, tabular, and graphical). The nature of learning is analyzed in terms of intuitions and misconceptions. (TJH)

Discussion of science and math instruction for elementary and secondary students highlights the use of microcomputer-based laboratories (MBL). Data collection, storage, and display are discussed, the use of databases to organize and manage information is described, and the exchange of ideas with other students through telecommunications is…

Effects of previous training and experience in peer tutoring on student interactions were studied for 16 elementary school classes. Student dyads with experience and training in peer tutoring provided more interactional explanations and incorporated sounder instructional principles. In both situations, student explanations tended to be algorithmic…