This study is part of ongoing research in undergraduate mathematics education. The study was guided by the belief that understanding the mental constructions the pre-service teachers make when learning matrix algebra concepts leads to improved instructional methods. In this preliminary study the data was collected from 85 pre-service teachers…

In this article, the authors present a tool, the Cognitive Rigor Matrix (CRM; Hess et al. 2009), as a means to analyze and reflect on the type of questions posed by mathematics teachers. This tool is intended to promote and develop higher-order thinking and inquiry through the use of purposeful questions and mathematical tasks. The authors…

Through a series of six guided classroom discoveries, students create, via targeted questions, a definition for deciding when two sets have the same cardinality. The program begins by developing basic facts about cardinalities of finite sets. Extending two of these facts to infinite sets yields two statements on comparing infinite cardinalities…

Outcomes, processes, and emerging questions associated with using matrix structures as both a teaching strategy used by the instructor and a cognitive learning strategy used by cooperative groups of students were studied. In analyzing these concept learning strategies, an effort was made to triangulate sources of data and take into account aspects…

Conceptual problems hinder the development of computer-assisted art instruction. Presented is a framework to guide the organization of instruction and to facilitate the selection of computer strategies appropriate to particular art learning situations. Various types of computer-assisted instruction are presented within a continuum of teaching…

The 7th International Conference on Education Data Mining held on July 4th-7th, 2014, at the Institute of Education, London, UK is the leading international forum for high-quality research that mines large data sets in order to answer educational research questions that shed light on the learning process. These data sets may come from the traces…

For the twenty-ninth year, the Research and Theory Division of the Association for Educational Communications and Technology (AECT) is sponsoring the publication of these Proceedings. Papers published in this volume were presented at the National AECT Convention in Orlando, Florida. The Proceedings of AECT's Convention are published in two…