The two major questions investigated in this study concern changes in achievement when mathematics instruction is based on students' interests, and changes of students' attitudes toward the mathematics courses when they receive this type of instruction. Six fifty-grade classes, identified by school principals as the lowest achievers in four Harlem…

The purpose of this project was to develop and implement an articulation program between fifth-grade elementary teachers and sixth-grade middle school teachers which would serve to enhance communications regarding the basic skill development of individual students in the area of mathematics. The vehicle for communications that was produced took…

The purpose of this study was to determine the effectiveness of an instructional program in reading and language development in the content areas of science, social studies, and mathematics in grade two. An experimental group received formally prepared lessons in reading for twenty minutes per day for five weeks each, in science, social studies,…

This study investigated the relative effectiveness of three methods of using manipulative materials for instructing third-grade students on addition and subtraction of two-digit numbers. Subjects (N=124) were selected from a larger pool from two schools on the basis of scores on a prerequisite skills measure and the pretest. They were randomly…

In this study Piaget's method of the clinical interview was used to examine children's understanding of rotation about apoint at three age levels (6, 7, and 8). In two half-hour sessions, subjects (N = 108) were given four tasks: (1) an adaptation of Piaget's locus and circular motion experiment, and tasks concerned with (2) the circle as a locus…

The purpose of this study was to assess the relative effectiveness of verbal teaching methods as compared to a nonverbal approach which permitted no oral communication. Four fourth-grade classes consisting of a total of 88 students in one school were randomly assigned to treatment groups so that two were taught nonverbally and two were taught by…

This study investigated the effectiveness of teaching sixth-grade students to use diagrams, sketches, and pictures in solving arithmetic word problems. Three instructional groups were formed from a pool of 362 subjects. Group 1 practiced solving problems using only verbal statements; group 2 practiced on problems presented in word form, sometimes…

This study compared two techniques of teaching verbal problem solving. The consensus method is a commonly used decision-making strategy, while the expository (control) method is the most familiar teaching strategy for verbal problems. Two sets of sixth-grade students under two teachers were divided into treatment groups. Both sets of subjects were…

Two instructional variables, sequence and mode, were operationally defined; two methods of sequencing, deductive and inductive, were used, and two modes, concrete and pictorial. Experimental lesson sequences for instruction in the rules and concepts of multiplication were developed for each combination of levels of the variables. The lesson…

This study was designed to determine if a group of five- and eight-year-old students' understanding of selected geometric ideas paralleled Piaget's topological, projective, and Euclidean thesis. Additional purposes were to investigate which geometric ideas the group learned easiest, and to examine the relationships between geometric understanding…

The problem was to determine the relationship between performance on Piagetian class inclusion tasks and on missing-addend computation and verbal problem tasks for first-Grade students, and to describe the methods used by the children in solving both the missing-addend and the verbal problem tasks. From 168 first-grade students who received a…

To investigate what goals of mathematics education for prospective elementary teachers are important, a pool of 265 test items were constructed and presented to 50 persons in the fields of mathematics and mathematics education. They were asked to respond to the importance of each item, as a unit of content, relative to their perceptions of what is…

This study was concerned with the verification of a learning hierarchy for the mathematical task of adding fractions, when group learning procedures involving teacher-student interaction were used. Through a task analysis procedure a hierarchy of 13 subordinate skills was hypothesized, behavioral objectives were specified, and a curriculum…

Two methods of instructing preservice elementary teachers in the metric system are compared in this study. In the laboratory method 28 subjects handled equipment and participated in measurement and estimation activities. The 29 subjects in the lecture demonstration group met as a class and individually recorded results of the same activities…

The purpose of this study was to compare the effects of a fourth-grade arithmetic sequence based on calculator flow-charting with those of traditional textbook instruction. Both achievement and attitude were compared. Students were matched on the basis of intelligence (Otis Quick-Scoring Mental Ability Beta Test Form EM) and sex, and then randomly…