Two simulations designed to teach probability to middle-school age pupils are presented. The first simulates the one-on-one foul shot simulation in basketball; the second deals with collecting a set of six cereal box prizes by buying boxes containing one toy each. (MP)

The author discusses mathematics problems given to a group of primary teachers studying properties of numbers. Using a milk crate and bottles as a problem, the teachers diverted to exploring extrapolations. (MP)

Although girls and boys were similar in cognitive skills and attitudes toward mathematics in grade 8, boys performed significantly better in mathematics by grade 11, even with mathematics background controlled. No sex-related difference in spatial visualization developed. (Author/GDC)

Describes exhibits from a math applications fair held as part of a National Science Foundation Pre-College Teacher Development Project. Topics of the exhibits include measurement, astronomy, optics, calculators, mathematics in nature, art, music, electronics, scale models, sports, bicycles, travel and vacations, kites, automatic design, stamp…

A proposal to replace plane geometry with computer programming in the standard high-school mathematics curriculum is presented. (MP)

The use of exponentiation as a starting point for an open-ended exploration of real number ideas is presented. (MP)

The interactive effects between mathematical achievement and manipulative v symbolic instruction with junior high school students are examined in this report. Low-achieving students benefited more from a manipulative approach to logical connectives, whereas high achieving students found the symbolic approach to be more effective. (MP)

A method of teaching students how to recognize when zeros are necessary and when they may be omitted is presented. (MP)

The results of this study indicate no significant differences on two achievement tests and one aptitude test between calculator and non groups. Nevertheless, the investigator notes several advantages of using the calculator. (MK)

A four-year coordinated program to improve the mathematics achievement and attitude of secondary students and teachers in Arkansas is described, Programs for leadership development, cooperating schools, curriculum development, inservice programs, and evaluation are discussed. (MK)

Evidence is cited that a shortage of secondary mathematics teachers now exists and will likely become more severe in the near future. (MP)

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

Indiana University/South Bend has developed a competency based program of field experience in mathematics instruction for its preservice teacher candidates involving two hours of class and three hours of field experience per week in secondary public schools. (MB)

This paper is directed toward teachers with limited funding available to provide an individualized mathematics program. A model for individualization is described in detail; the model can be applied from grade four through high school and in open as well as traditional schools. (SD)

Presented are issues related to instruction for mastery learning. The theories and research related to mastery learning are reviewed and the issues which must be addressed by the teacher are examined. (SD)