This book summarizes new directions in mathematics education research on proving at the university level, thereby providing contemporary extensions of the sub-fields of proof that Annie and John Selden introduced to the field. The chapters each describe an emerging new area of proof research, review the relevant findings in this area, present open…

Based on the premise that the primary ways individuals make sense of the world is through observation, analysis, imagination, and feeling, this work suggests that through the use of graphics, students can experience these functions as they interact with reading and writing activities. Graphics encourage students to read more closely, make visual…