Focuses on Standard 4: Knowing Mathematical Pedagogy from the "Professional Teaching Standards" from the National Council of Teachers of Mathematics. Uses the profile of an algebra teacher and his pedagogy to explore how this standard might be exemplified in practice. (DDR)

Citing some past educational fads, the author addresses the curricular opportunities afforded by the hand-held calculator. He argues that students can gain deeper insight into many mathematical concepts by actually experiencing them. The availability of calculators will also cause some topics to disappear from the curriculum. (SD)

The author discusses the relationships between art and mathematics throughout history. Many illustrations are included. (SD)

After students learn that it is impossible to trisect an angle using compass and straight-edge, students are introduced to the trisectrix curve which accomplishes the trisection. (SD)

Annual records of the one-mile sun can be used to introduce a variety of statistical ideas including the scatter diagram, theoretical vs. observed values, and normal equations. (SD)

A geometric approach to the solution of quadratic equations and more general polynomials is based on finding points with minimum distance from the x-axis. The approach is useful in motivating the definition of complex numbers. (SD)

Worksheets contain instructions and patterns for use in constructing models of the platonic solids from cardboard and rubber bands. (SD)

The author argues that students do poorly with problems involving percent because they do not adequately understand ratio and proportion. Described is an instructional sequence designed to build these concepts. (SD)

Discussed is the distinction between weight and mass, and the need to distinguish these concepts in a successful metrication program. (SD)

The famous birthday problem is discussed and activities which can be used with it as an introduction to probability are examined. (SD)

The philosophy and methodology of mathematics testing in the USSR are considered. (DT)

Definitions of giftedness, the identification of gifted students, appropriate learning materials, research, teacher education, public relations, and the role of state and local groups in the education of the gifted are discussed. (DT)

The organization and evaluation of a self-paced audio-tutorial precalculus course are described. (DT)

Activities are described in which number patterns in two-digit multiplication exercises are investigated. (DT)

These worksheets involve the use of tangram pieces in creating geometric shapes and in analyzing properties of convex quadrilaterals. (DT)