In this powerful collection of personal accounts, successful and respected teachers from across the country reveal how recent education policies have played out in their schools and classrooms in negative and counterproductive ways, and offer teacher-led alternatives for providing equitable, engaging, and empowering education. Framed by critical…

This article first appeared in the American Mathematical Monthly in January 1929. In addition to some general concerns, six reasons for lethargic student attitudes are discussed. Stressed is the need to keep mathematics instruction in the hands of teachers prepared to teach mathematics. (MNS)

A traveling salesman problem is used to illustrate the key idea in a general proof of a reduction technique. It is reduced to a problem in propositional calculus. (MNS)

A method for teaching the product rule of differentiation in calculus is described. (MK)

Discusses the lack of calculus textbook improvements even though there have been complaints about them from students and professors. Argues against using commercial textbooks in calculus instruction. (ASK)

The article presents and discusses an optimization problem concerned with observing objects from a moving car. (MK)

This paper demonstrates how calculators may be used to motivate a concept called infinite composition of functions. Several mathematical topics, such as continued square roots, continued fractions, and infinite products are treated and discussed as special cases. (Author/MK)

Ways of using the calculator as a vehicle for investigating one aspect of the square root concept are illustrated. (MK)

A calculus problem on finding the maximum volume of a box is discussed, with extensions to various types of boxes. (MNS)

A definition of convexity with six conditions is discussed and illustrated. (MNS)

Included are a detailed example of a calculator demonstration, the general principles to be followed in preparing a calculator demonstration, a list of demonstration topics for a calculus course, and some suggested topics for other courses. (MK)

This course is intended for students who have a thorough knowledge of college preparatory mathematics including algebra, axiomatic geometry, trigonometry, and analytic geometry. It does not assume they have acquired a background of elementary functions. This teacher's guide contains background information, suggested instructional procedures, and…

This course is intended for students who have a thorough knowledge of college preparatory mathematics, including algebra, axiomatic geometry, trigonometry, and analytic geometry. This teacher's guide is for Part II of the course. It is designed to follow Part I of the text. The guide contains background information, suggested instructional…

A calculus activity is presented which is designed to allow students to operate as mathematicians. (MK)

The author discusses the use of calculators in calculus classes and difficulties caused by roundoff errors. References for advanced follow-up topics are given. (Author/MK)