In an attempt to promote the development of understanding over rote memorization, writing in mathematics has received increased attention in recent years. In Calculus, the Rule of Three (based on communicating ideas thorough algebraic, graphical and numerical means) has been replaced by the Rule of Four in which writing plays a central role.…

This paper investigates the role of teacher interaction in the development of mathematical understanding of five students who worked together on a math-modeling task. The dialogue between the teacher/researcher and students is analyzed. Preliminary findings suggest that where the mathematical thinking of the students was understood, interventions…

A type of examination in which additional questions are provided was used for Grade 12 Algebra and College 1 Introductory Calculus. An hypothesis was formulated that this procedure should reveal additional knowledge which whould be reflected in superior average scores for the class group. (Editor)

This exercise, suitable for an advanced undergraduate physical chemistry lab, examines the detailed theoretical description of a chemical reaction. Mathematical techniques of moderate complexity serve to introduce some aspects of theoretical chemistry. (Author/TS)

The first section promotes use of student notebooks in mathematics instruction as incentives for pupils to do daily work. Part two looks at a geometric interpretation of the Euclidean algorithm. The final section examines an open box problem that is thought to appear in virtually every elementary calculus book. (MP)

An examination of a student question concerning a calculus problem leads to a discussion of some of the symmetric properties of a specific set of polynomials. (MP)

The use of mobiles to illustrate mathematical concepts, some areas for student investigation of the equation for the general form of a line that begins with switching the coefficients, and some examples of indeterminacy of the basic types of limits suitable for beginning students are presented and discussed. (MP)

Ways to incorporate student mistakes in the instruction of mathematics at the undergraduate level are discussed. A sample investigation of a pupil error with a formula from Calculus is featured. (MP)

A brief sketch of the development of integral calculus is given, beginning with ancient Greek thought around 500 BC, and ending with Newton and Leibniz. (MP)

A method is presented for determining cube roots on a calculator with square root facility that has a rapid rate of convergence. (MP)

Gives a sketch of some topics in distribution theory that is technically simple, yet provides techniques for handling the partial differential equations satisfied by the most important Green's functions in physics. (Author/GA)