Using tableaus and teacher moves to increase student discourse and understanding. (English)

Rogerson, Alan (ed.), The mathematics education for the future project. Proceedings of the 13th international conference ‘Mathematics education in a connected world’, Catania, Sicily, Italy, September 16‒21, 2015. Münster: WTM-Verlag (ISBN 978-3-942197-44-1/pbk; 978-3-942197-86-1/ebook). Conference Proceedings in Mathematics Education 1, 61-68 (2015).

Summary: Lecture by itself is a predominant format in college mathematics courses but the inclusion of active learning strategies offers promise. A sequence of 28 PowerPoint tableaus, suggested by research and focused on challenging concepts from the linear algebra curriculum, were used to generate student discourse in a section of linear algebra ($n=20$). In addition, six specific teacher moves were used to promote student discourse about the tableaus. Surveys revealed (75\%) of the students agreed or strongly agreed that the tableaus had a positive impact on their achievement and (90\%) agreed or strongly agreed that the associated discourse had a positive impact on their achievement. More research is warranted given that the tableaus and associated discourse promoted a high level of student engagement with the potential to improve understanding and achievement.