Reviews several student-tested computer software programs for math instruction: Gameco's "Word Problem Square-Off"; "MathKeys" by MECC and Houghton-Mifflin; Davidson and Associates'"The Cruncher"; and Sunburst Communications'"Exploring Mathematics with Technology: Number and Operation Sense." (HTH)

Presented are five scenarios of how division might be introduced to a class of third graders using experiences with the concept, process, and symbolism of division rather than algorithms. Instruction that makes problem solving the emphasis of students' learning is described. (KR)

Presented are several geometrical and graphical methods of solving quadratic equations. Discussed are Greek origins, Carlyle's method, von Staudt's method, fixed graph methods and imaginary solutions. (CW)

Presented are five short articles which describe innovations in mathematics teaching. Included are "Polar Summation,""The Age of the Solar System,""Forward Homework--A Motivational Tool,""Trigonometric Identities through Calculus," and "Algorithms for Evaluation of Polynomials." (CW)

Geometric interpretations and derivations of the six trigonometric relationships are demonstrated. Selected for discussion are limiting values, geometric verification of trigonometric identities, a one-dimensional illustration of the Pythagorean relationships, and the geometric derivation of infinite-series relationships. (DE)

Discusses how the concept of fractions can be taught to elementary school students through the measurements needed in cooking, and through the use of eighth-, quarter-, and half-notes in music. (BB)

Proposes looking at the percent symbol (%) as an operator, which means to divide any number in front of it by 100. Stresses the importance of using correct words to describe the numbers generated in percent calculations. Explains how to (1) calculate percent using equivalent fractions; (2) divide fraction numerators by denominators, retaining the…

Presents a mathematics problem that emphasizes looking for patterns and organizing one's efforts, and a vignette that exhibits classroom efforts while solving the problem. (ASK)

Presents Ptolemy's theorem on geometry and its proof. (ASK)

Presents a two-phase investigation of how Israeli students understand the concept of periodicity. Discusses related research with teachers and students (N=895) employing both qualitative and quantitative research methodologies. Concludes that students understand periodicity as a process. Students' errors and preferences are discussed with…

Presents a study to develop better understanding of the processes involved in the construction of oral and written symbolic systems and to grasp their role in the elaboration of the modeling function of numbers. Proposes ideas for teaching in light of this study and contributes better understanding of the relationship between numeration and…

Uses everyday situations that students experience, in order to attract and hold student attention and promote understanding of linear inequalities. (ASK)

Describes three calculations used to make students aware of the size of Avogadro's number: (1) the new size of a 6-inch diameter ball with volume increased by a factor of Avogadro's number; (2) the number of moles of sand grains in the Sahara Desert; and (3) the dimensions and length of a mole of hydrogen atoms shaped into a cube, a square, and a…

Errant mathematical views are widely found among teachers, their students, and authors of applied mathematics texts. Suggests classroom experimentation, both to confirm the occurrence of these errors, and to apply the appropriate corrective teaching. (Author/ASK)

Discusses how the misuse of symbols, specifically "=", can impede mathematical understanding. Concludes that teachers should help students learn the appropriate meanings for symbols. (ASK)