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…

The COVID-19 pandemic shifted higher education online, drawing attention to synchronous learning and instruction on digital communication platforms. Learner-centered teaching practices in the tertiary level, such as mathematical discussions, have been shown to benefit student learning. The interactions involved in online synchronous mathematical…

This article is a follow-up to an earlier paper on the mathematics support learning tutorial programme (SLT), an intervention programme at The University of Queensland that targets students considered to be at risk of failing Calculus and Linear Algebra I, the first tertiary level mathematics subject at The University of Queensland. The first…

This study attempted to determine the influence of prior knowledge in mathematics of students on learner-interface interactions in a learning-by-teaching intelligent tutoring system. One hundred thirty-nine high school students answered a pretest (i.e., the prior knowledge in mathematics) and a posttest. In between the pretest and posttest, they…

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…

The researchers of this study selected four pragmatic research questions that distance learning administrators with high-enrolling Independent Study courses, similar to those that Brigham Young University offers through its Department of Independent Study, may be interested in exploring. These questions included: (1) When tutoring services are…

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…