An experimental calculus class was instructed by inquiry-style presentation incorporating heuristic problem-solving strategies. A control class was also instructed using an inquiry style, but with no emphasis on heuristics. Based on interviews, it is suggested that heuristic-oriented instruction can be an effective mode of teaching problem…

A model for securing student input for curriculum construction, including textbook writing, through observing small groups of students at work is described; its application to the topic of limits of sequences and implications for curriculum development in general are discussed. (DT)

Calculus is overemphasized in elementary physics courses at the expense of other types of mathematical reasoning, especially modern algebra and numerical methods. Discusses approaches to several problems in physics using either a time-sharing computer terminal or symmetry arguments to solve problems at a level appropriate for liberal arts…

Paper presented at Indiana University, Bloomington, Indiana, on March 11, 1971. (VM)

Methods are presented for teaching the meaning of exponential functions, Euler's formula, De Moivre's theorem and Maclaurin's series for exponentials, cosine, and sine to juniors or seniors in high school. (JG)