Algebra is the gateway to college and careers, yet it functions as the eye of the needle because of low pass rates for the middle school/high school course and students’ struggles to understand. We have forty years of research that discusses the ways students think and their cognitive challenges as they engage with algebra. This book is a response to the National Council of Teachers of Mathematics’ (NCTM) call to better link research and practice by capturing what we have learned about stu...

This innovative undergraduate textbook approaches number theory through the lens of abstract algebra. Written in an engaging and whimsical style, this text will introduce students to rings, groups, fields, and other algebraic structures as they discover the key concepts of elementary number theory. Inquiry-based learning (IBL) appears throughout the chapters, allowing students to develop insights for upcoming sections while simultaneously strengthening their understanding of previously cov...

In five short stories and one long novelette, Rufus King introduces Colin Starr, a young physician whose medical knowledge enables him to detect murder where a less able doctor would have signed a certificate of death from natural causes. Because of his shrewd understanding of human psychology as well as his application of scientific knowledge to seemingly unrelated facts, Dr. Starr is a unique detective in the annals of crime. Included in this volume are:The Case of the Three Bale...