Reported are the results and conclusions of an arithmetic investigation made in the schools of Scotland in the spring and fall of 1966. The first problem in this investigation was to ascertain which, if either, of two unlike programs of instruction was more effective in developing skill in computation. The second was to determine the value of an…

A random sample of 214 fourth grade students randomly assigned to two treatments completed 15 programmed lessons on multiplication of whole numbers. The treatments differed in the physical referent used in the programmed lessons. One group used an array as the physical referent (Repeated-Addition). The other used a coordinate system and ordered…

The primary purpose of this investigation was to examine the effect of arithmetic homework upon the arithmetic achievement and attitude development of third grade pupils. The subjects for this study were 342 third grade students from Osseo, Minnesota, school areas. The Lorge-Thorndike Intelligence Test scores were used to stratify the classes into…

This study was concerned with the development of a consistent and reliable arithmetic achievement test to assess the arithmetic ability of educable mentally retarded youngsters ranging in age from thirteen through sixteen. The instrument so constructed is intended to be administered individually, and it requires the subject to do little reading or…

The objective of this study was to explore methods of using commonplace mechanical devices at the fourth grade level to expedite and extend the treatment of two important segments of the lower elementary arithmetic curriculum. The experimental testing of classroom materials took place at the Middle School of the Laboratory Schools of the…

This investigation measured effects of the modern mathematics on achievement in traditional arithmetic and in modern mathematics. Material on Sets, Variables, and Statistics was taught as a separate subject to an experimental group of 207 sixth-grade students. Instruction in the new mathematics content was given over a four-month period, using…

Developed was a principal component factor scoring technique for an instrument devised by Cyril J. Hoyt to measure mathematics attitude. The instrument was administered in 1960 to students (607) in the fifth and sixth grade, and again in 1966 to those in the eleventh and twelfth grade. Scores were examined for consistency in attitude and for…

A descriptive study of the relationships among teacher attitude, student attitude, and student achievement in arithmetic is reported. Data were obtained from 679 students of 32 teachers selected for their positive or negative preferences for teaching mathematics. The students were tested for attitudes the following year. Findings indicated: (1)…

Investigated were concepts of conservation (number and length), cardination, one-to-one correspondence, and counting ability, and the role of these concepts in learning first-grade mathematics. A Piagetian-type number concept test was developed and administered at the end of the school year to a sample of 38 entering first-grade students selected…

Included are abstracts of 16 research reports which were published in at least one of four periodicals within the first six months of 1968. The abstracts included in this issue have been grouped in four sections. The investigations reported by Schell, Grafft and Ruddell, and Sister Mary G. Schaefer are concerned principally with learning,…