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 research questions and the tools to address them. The book also discusses proof as a literary genre, and how students' feelings during the proof...

Getting certified to teach high school mathematics typically requires completing a course in real analysis. Yet most teachers point out real analysis content bears little resemblance to secondary mathematics and report it does not influence their teaching in any significant way. This textbook is our attempt to change the narrative. It is our belief that analysis can be a meaningful part of a teacher's mathematical education and preparation for teaching. This book is a companion text. It is...

Keith Weber recalls a lifetime of being an entrepreneur and living life to the fullest during his forty-five years in New Zealand and now forty years in Australia in this memoir. He grew up with his uncle and aunt, but he loved them as though they were his parents. When his mother remarried, he was told he could go live with her and his stepfather, but he decided to stay put. He enjoyed being a Boy Scout, went to Sunday School, loved Rugby Union, and observed with interest the happenings s...