Justification skills should be fostered in teaching mathematics as they are highly related to effectiveness in problem solving. However, pre-service mathematics teachers do not always have the necessary skills in using mathematically convincing language and justifying their solutions. Thus, they should be introduced to a variety of instructional…

This is an exploratory study about engaging students in mathematics learning both inside and outside of the classroom of an introductory proof course. The author utilized the framework of scholarship of teaching and learning as a guide to ensure the research process was carried out systematically. This study was conducted through one cycle of…

National studies reveal that 50 percent to 70 percent of community college students are required to take developmental, or remedial, math courses upon enrollment, and only 20 percent of developmental math students ever successfully complete a college-level math course. Taking up the challenge is the "New Mathways Project" (NMP),…