An algebraic model uses a set of algebraic equations to describe a situation. Constructing such models is a fundamental skill, but many students still lack the skill, even after taking several algebra courses in high school and college. For such students, we developed instruction that taught students to decompose the to-be-modelled situation into…

Currently 38% of U.S. college students are age 25 or older. The majority of these are required to take remedial courses, with twice as many taking remedial mathematics as reading or writing courses. Mathematics instructors often use online tutorial programs to deliver homework assignments and course assessments. Web-based programs offer support…

This study investigated outcomes (achievement, attitude, and retention) of college algebra students who had access to an online tutoring resource using a pre-posttest control group design. Students in the experimental groups were provided access to an online tutoring service unlike the students in the control group. Both groups had access to other…

Design techniques for generative computer-assisted-instructional (CAI) systems are described in this report. These are systems capable of generating problems for students and of deriving and monitoring solutions; problem difficulty, instructional pace, and depth of monitoring are all individually tailored and parts of the solution algorithms can…

Graphing calculators have been used in the mathematics classroom for speed, to leap hurdles, to make connections among representations, and to permit realism through the use of authentic data. In this study, a graphing calculator tutorial provided on the Casio FX1.0 and FX2.0 PLUS models was found to serve a fifth purpose, improving manipulative…