Use of brief collaborative quizzes on new quantitative lecture material

College students continue to be challenged by quantitative models and applications that appear in most majors and many courses across the curriculum. Failure rates in quantitative courses are substantial in many schools. Even successful students often express dissatisfaction with this material. We use a brief collaborative quiz (BCQ) process to promote student learning and increase student satisfaction in the study of difficult quantitative topics. The BCQ process combines several aspects of teaching effectiveness: peer interaction, active learning, assessment, effective grading, instant feedback, time management, student responsibility, attendance, and motivation. We have used the quizzes for many years with much success in statistics classes and in mathematics classes such as calculus, trigonometry, algebra, and finite math, with class sizes ranging from 10 to 120 students. Other application areas would include economics, accounting, finance, operations management, and any course with quantitative components such as psychology and sociology.