Young children increasingly interact with technological devices, either as a form of entertainment or for educational purposes. This research sought to investigate the early symbolic understanding of an interactive, three-dimensional digital image presented on a tablet. Two studies were designed in which the children had to use the image as a…

Symbolic objects are cognitive tools children must learn to master very early in life. A crucial factor in cognitive development is the instruction or informational support children receive in social contexts. While numerous studies have investigated the relation between instruction and development in various domains, like language or symbolic…

In the pair of experiments reported here the authors investigated the relationship between meaningfulness of problem statements and subjects' use of these statements in problem-solving tasks. Subjects (96 university students) were required to memorize meaningful formulae such as "volume = area x height" or corresponding symbolic formulae such as…

This paper reports a study which attempted to generalize earlier results obtained by Eastman to another mathematical content area. Two hundred eight ninth-grade algebra students were randomly assigned to one of the two treatments. The figural-inductive treatment presented concepts of logic through the use of Euler diagrams in an inductive mode;…

The purpose of this project was to relate mathematics studies to the students' natural enthusiasm for popular music and favorite performers. Learning modules rather than lesson plans were used as the teaching approach in the experimental music-mathematics classes. Stated objectives of the project were (1) to motivate students to learn to code and…