Development of a second-grade mathematics instructional unit is discussed in terms of activities, evaluation procedures, and results of evaluation. The report is organized by topic. Behavioral objectives are followed by descriptions of activities and materials used. Topics include: review of symbols, pictorial representation of numbers, writing…

This paper summarizes the developmental activities in mathematics conducted at the first grade level. Two instructional units of "Developing Mathematical Processes" were taught. The instructional units are described through a description of the activities that were tried, an explanation of evaluation procedures, and a report of the results of each…

Tests were given after instruction in probability and four weeks later to 25 sixth graders. Correlation between achievement scores for each student was .78. Retention ratios for individuals, total tests, each objective, and each item indicated high initial performance may contribute to high retention. (Author/DT)

The purpose of this study was to ascertain whether children in grade 3 who differ in cognitive processing capacity add and subtract differently. The researchers drew upon information from three sources: individual results from a battery of 14 tests, an objective-referenced achievement test measuring a variety of arithmetic skills related to…

Presented is the task analysis for "Developing Mathematical Processes, Arithmetic, Book 1: Comparing and Equalizing Objects and Sets." This task analysis consists of identifying the behavioral objectives necessary for comparing and equalizing objects and sets and arranging them in a logical sequence for instruction. The 52 items in this task…

A 12-part paradigm for testing level of concept attainment was used to construct items covering the topics of sets, division, and expressing relationships. Within each topic the concepts presented in the middle elementary grades were identified; ten concepts were randomly selected for each topic; and, for each concept, items matching the tasks in…

The purpose of this study was to determine whether a process model could be constructed using steps identified from flow charts which accounted for somewhat more variance in predicting the difficulty of two-digit multiplication problems than did a process model developed by Cromer. Cromer's data and variables were used as a starting point. Ten new…

The purpose of this study was to determine whether a process model could be constructed using steps identified from flow charts which accounted for somewhat more variance in predicting the difficulty of two-digit multiplication problems than did a process model developed by Cromer. Cromer's data and variables were used as a starting point. Ten new…

This publication contains sixteen abstracts of papers presented at the Research Reporting Sessions of the National Council of Teachers of Mathematics (NCTM) Annual Meeting. The investigations reported by Anthony, Creswell, Higgins, and Weise focus on curriculum and classroom innovations in the school mathematics program. Investigations by Gibbons,…

Mathematics items developed to measure concept attainment for the topics of set theory, division, and expressing relationships were studied. A completely crossed design with 30 concepts and 12 tasks was used. The items were administered to 196 girls who had just completed the fifth grade and to 195 boys who had just begun the sixth grade.…

Thirty concepts from the areas of sets, division, and expressing relationships were studied with twelve tasks dealing with naming or selecting attributes or concepts involved. A factor analysis indicated that all concepts were measures of a single functional relationship and that all tasks measure a single underlying trait. (LS)

Individually Guided Education (IGE) in elementary mathematics is explained and described. The basic assumptions about the nature of students and their learning of mathematics are set forth, and the steps needed to plan and organize an IGE program are detailed. (SD)

Summarized are the findings from five studies carried out in Australia in 1979-80. First was a cross-sectional survey designed to determine the memory capacity of a population of children in grades 1-3. The second study investigated performance differences on a variety of mathematically related developmental tasks for the same group. Data from…

Results of a study designed to gather evidence about the effect of student's overt verbalization on performance and retention after instruction on a set of geometric concepts are reported. The independent variable, overt verbalization, was manipulated following the procedure used by Pereira (l973) which involved an experimenter questioning…

The purpose of this study was to relate children's cognitive processing capabilities and their grade level to their performance and to the strategies they used when working addition and subtraction problems. From two sets of data which assessed memory capacity and cognitive processing capacities, six groups of children with different cognitive…