Mathematics for teaching: A form of applied mathematics

Gabriel J. Stylianides; Andreas J. Stylianides

Teaching and Teacher Education: An International Journal of Research and Studies Vol. 26, No. 2 (February 2010) pp. 161–172

In this article we elaborate a conceptualisation of mathematics for teaching as a form of applied mathematics (using Bass's idea of characterising mathematics education as a form of applied mathematics) and we examine implications of this...

Language: English

Studying the classroom implementation of tasks: High-level mathematical tasks embedded in ‘real-life’ contexts

Andreas J. Stylianides; Gabriel J. Stylianides

Teaching and Teacher Education: An International Journal of Research and Studies Vol. 24, No. 4 (May 2008) pp. 859–875

Mathematical tasks embedded in real-life contexts have received increased attention by educators, in part due to the considerable levels of student engagement often triggered by their motivational features. Nevertheless, it is often challenging for...

Language: English

Procedural and Conceptual Knowledge: Exploring the Gap between Knowledge Type and Knowledge Quality

Jon R. Star; Gabriel J. Stylianides

Canadian Journal of Science, Mathematics and Technology Education Vol. 13, No. 2 (2013) pp. 169–181

Following Star (2005, 2007), we continue to problematize the entangling of type and quality in the use of conceptual knowledge and procedural knowledge. Although those whose work is guided by types of knowledge and those whose work is guided by...

Studying the Effect of a Competitive Game Show in a Learning by Teaching Environment

Noboru Matsuda; Evelyn Yarzebinski; Victoria Keiser; Rohan Raizada; Gabriel J. Stylianides; Kenneth R. Koedinger

International Journal of Artificial Intelligence in Education Vol. 23, No. 1 (November 2013) pp. 1–21

In this paper we investigate how competition among tutees in the context of learning by teaching affects tutors' engagement as well as tutor learning. We conducted this investigation by incorporating a competitive Game Show feature into an...

Cognitive Anatomy of Tutor Learning: Lessons Learned with SimStudent

Noboru Matsuda; Evelyn Yarzebinski; Victoria Keiser; Rohan Raizada; William W. Cohen; Gabriel J. Stylianides; Kenneth R. Koedinger

Journal of Educational Psychology Vol. 105, No. 4 (November 2013) pp. 1152–1163

This article describes an advanced learning technology used to investigate hypotheses about learning by teaching. The proposed technology is an instance of a teachable agent, called SimStudent, that learns skills (e.g., for solving linear equations) ...