Three experiments were conducted to investigate the learning of the concept "more than" by preschool children. In the first experiment, 48 nursery school children, ages 4 1/2 to 5 1/2 years, were divided into three groups. All were required to say which of two pictures contained the greater number of objects. In group one, circles were used as the…

Describes student difficulties with understanding quantitative concepts as presented in selected third grade social studies textbooks. Test results of student accuracy in understanding of quantitative concepts are presented and discussed, and teaching methods for quantitative reinforcement are provided. (Author/DB)

A classroom exercise which encourages experimentation including formulation and testing of conjectures about number relationships involving factors and multiples is illustrated. (MN)

Describes activities in a mathematics class for six-year-olds. The article makes several points, including: working independently is very absorbing; investigative work is as important as algorithms; and children working in groups can achieve more than even the brightest child working alone. (PK)

Five-frames are proposed as manipulative material to increase children's ability to identify the number of objects without direct counting. How to use frames and beansticks to construct basic facts without counting is discussed. (MNS)

Included are brief articles discussing chain letters as an example of exponential growth, a box technique for factoring, and integrating the inverse of a function whose integral is known. (MNS)

Some answers are given to questions that teachers ask about the preprimary mathematics program. A point of view is presented and a model provided outlining a scope and sequence for choosing experiences for children about five years old. (MNS)

Four experiments are presented to support the theory that the rule system governing the law of large numbers is not tied to a content domain, and that it can be improved by formal teaching techniques. The experiments showed that statistical training enhanced everyday reasoning. Test problems and objective example problems are appended. (LMO)

Four-year-old (N=45) children were trained for eight weeks in one of three conditions: (1) logical foundations (classification and seriation); (2) number skills (counting); and (3) control. The experimental treatments were based on the logical foundations model of Piagetian theorists and a skill integration model. (Author/BS)

Instructional strategies that will develop the concept of a fraction are presented. Fractions as counting numbers, measures, and subdivisions are included, with a combination of regions and number lines suggested as a teaching aid. (MNS)

Written for all teachers of young children, this book illustrates activities that promote early mathematics development for children ages three to five and "showcases" mathematics for the young child. The thirty-five activities in this book are distributed into five content areas: number and operations, geometry, algebra, measurement, and data…

In the last two decades, mathematics teachers have shown a great deal of interest in how students learn mathematics through journal writing. I have also used journals in mathematics classes for the last five years. Based on the analysis of more than 1800 journal entries written by approximately 200 students in the last five years, I conclude that…

Arithmetic is the major focus of elementary mathematics instruction. This book contains a series of lessons designed to meet the goals of place value instruction and give students a rich understanding of how the number system works. Topics include counting larger numbers in two or more ways, recognizing that the number of objects in a group…

The secondary technical schools of the United States, because of their heterogeneity, present peculiar difficulties to an investigation along the lines laid down by the International Commission. While such schools have existed for many years, it is particularly within the last decade that a great increase in their numbers has taken place, for it…

Describes three classroom games for elementary school mathematics. Two are geoboard activities using a coordinate system; the third combines a knowledge of number facts with a game of tag. (RS)