In this article, the author shares his thoughts about who he is as a teacher and what his goals as a teacher turn out to be. The author describes his role as researcher, teacher, and educator. He begins with his take on mathematics teaching and learning, because the question of which mathematics educators teach and how they teach it is really…

Using license plates to generate random number pairs, students can calculate an approximate value for pi. The author views this approach as easier to understand than Buffon's needle. (SD)

Presents three stories from mathematics history that can be integrated into classroom teaching: (1) the account of how Eratosthenes measured the circumference of the earth to discuss the concept of units in measurement, (2) ideas from Archimedes, Vite, and Descartes to introduce pi, and (3) the discovery of the Cardanic formula as an example of…

Presents some examples from geometry: area of a circle; centroid of a sector; Buffon's needle problem; and expression for pi. Describes several roles of the trigonometric function in mathematics and applications, including Fourier analysis, spectral theory, approximation theory, and numerical analysis. (YP)

Presented are four activities which integrate mathematics and science activities involving problem-solving skills. Topics of activities include derivation of pi (3.14), determining the volume of a bell jar, estimation skills, supplementary exercises using geometric and metric system tables, general laboratory exercises, and supplemental problems.…

The United States Department of Education (USED) granted 11 states waivers (eight full waivers and three conditional waivers) to provide what the USED termed "flexibility" from meeting some of the requirements in the No Child Left Behind Act (NCLB). Much of the flexibility relieves schools from the Adequate Yearly Progress mandate that requires…

A collection of mathematical notes - On the Roots of a Certain Determinantal Equation", A Geometrical Look at the Square Root of Pi", and others. (RP) A class of Second Order

The author of this article argues that, just as Americans were shocked into action, when the Soviet Union launched Sputnik in 1957, by strengthening STEM (science, technology, engineering, and mathematics) in the educational curriculum, Americans must be shocked again. The nation must address the failure of its leaders to provide adequate funding…

Describes math anxiety, explaining roadblocks to mathematics success; discussing strategies for overcoming anxiety (e.g., parent involvement, teacher sensitivity, and peer tutoring); and examining the influence of learning styles on mathematics achievement and attitudes. Mathematics teachers must identify students' problems in mathematics, work…

Demonstrates how to use graphing calculators to explore rational number approximations to irrational numbers. (Author/NB)

Since 1982, the National Council of Teachers of Mathematics has published a student periodical five times a year. Each four-page issue focuses on a single theme, developing it from a simple opening-page activity through more challenging extensions at a higher level of understanding. In this document each four-page issue published from September,…

Explores a way to enhance teachers' knowledge in Taiwan. Constructs cases involving episodes and issues from real classroom events as part of a school-based professional development project. Discusses the effects of the process of constructing these cases on teachers' awareness of students' difficulties in learning mathematics, pedagogical content…

The study was designed to support teachers on designing problem-posing tasks to understand students' mathematical learning. Seven classroom teachers and the researcher collaboratively set up a school-based team participating in an assessment project that assists teachers in implementing assessment integral to instruction. Four categories that the…

Using computers to evaluate teachers based on student test scores is more difficult than it seems. Value-added modeling is a genuinely serious attempt to grapple with the difficulties. Value-added modeling carries the promise of measuring teacher quality automatically and objectively, and improving school systems at minimal cost. The essence of…

The Monte Carlo procedure of generating random points that lie within the unit square is used to approximate pi, as the ratio of points within the first quadrant of the unit circle to the total number of randomly generated points. A BASIC computer program for this method is included. (JJK)