In this published speech, the status of mathematics today is reviewed. Four areas are highlighted as examples of the unity and applicability of mathematical research. Problems with teaching mathematics are then noted, followed by "causes for celebration." (MNS)

Gives a general description of reformed calculus efforts and describes experiences with two reformed calculus programs together with traditional calculus. Also provides comparisons between these three programs using teaching evaluations and student journals. (Author/MKR)

The University of Chicago School Mathematics Project (UCSMP) courses for the first two years of high school integrate geometry and algebra, incorporate applications as a motivation for learning new content, and use technology as a vehicle for discovery and exploration of mathematical topics and to perform algorithmic tasks. (31 references) (MKR)

The Center for Occupational Research and Development (CORD) developed an applied mathematics course that integrates algebra, geometry, trigonometry, and other strands; centers around hands-on laboratory experiences; and uses real-world problems found in the world of work. (MKR)

Presents examples of the use of mathematical modeling in mathematics courses in order to not lose sight of the essence of the mathematical attitude; encourage students' concern with problems that surround them; appreciate human resources; and associate mathematics with other sciences. (MKR)

Presents a mathematical explanation for the development of tidal activity. (MVL)

This article describes a demonstration in which a straightened coathanger supported by threads and held near the ears resembles bells or gongs when struck. A mathematical explanation of the effect is provided. (MVL)

Discusses two answers to the question of why we teach calculus in the college mathematics curriculum: (1) calculus is used in real mathematical applications across a variety of disciplines; and (2) the historical development of calculus exposes students to the foundation of the scientific world view. (MDH)

Provides a proof that, if two angle bisectors of a triangle are equal in length, the triangle is isosceles (Steiner-Lehmus Theorem) using two corollaries related to a side-side-angle correspondence in a triangle. Introduces historical developments in the discussion of the proof. (MDH)

Discussed is the construction of a simple apparatus, the sky window, which can be used to investigate astronomy concepts. Activities using the sky window are suggested. (CW)

Part I describes the presentation of six different proofs of the Pythagorean Theorem by groups of three students in a party atmosphere. Part II delineates the analysis behind a student conjecture concerning the area of certain closed polar-coordinate figures. Part III proposes a categorical worksheet for determining when to apply the proper rule…

A method that enables people to obtain the benefits of statistics and probability theory without the shortcomings of conventional methods because it is free of mathematical formulas and is easy to understand and use is described. A resampling technique called the "bootstrap" is discussed in terms of application and development. (KR)

Presents a problem in which the incorrect application of the Law of Sines leads to an erroneous solution. Demonstrates that the commission of this error by an ophthalmologist using laser trabeculoplasty could lead to patient injury. (MDH)

Described are the background, structure, themes, methodology, projects, and assessment for the course. A list of themes is provided. Results of the piloting of the course are discussed. (CW)

Discusses issues related to the subject/topic content of developmental mathematics programs. Argues that such programs should teach as much preprobability and statistics as they do precalculus, and that less time be spent by students simplifying and operating with rational algebraic expressions and other process-oriented mathematical equations.…