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…

Students with learning disabilities identify teachers' understanding of them as learners as crucial for their empowerment and success in school. This study provides insight into how the analysis of students' academic and social situational tendencies can provide teachers with better understanding of their students' educational experiences and lead…

Pretesting and early intervention measures to identify and remediate at-risk students were implemented in algebra-based introductory physics to help improve student success rates. Pretesting via a math and problem-solving diagnostic exam administered at the beginning of the course was employed to identify at-risk students based on their scores.…

In the 2013-2014 school year, the High-Dosage Tutoring (HDT) Program served approximately 1,698 students at nine AISD schools. This report summarizes the third year of implementation and outcomes.

The purpose of this study was to explore effective ways to design guided practices within a web-based mathematics problem solving tutorial. Specifically, this study examined student learning outcome differences between two support designs (e.g. adaptively faded and fixed). In the adaptively faded design, students were presented with problems in…

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…

This dissertation explores fifth and eighth grade students' interpretations of three kinds of mathematical representations: number lines, the Cartesian plane, and graphs of linear functions. Two studies were conducted. In Study 1, I administered the paper-and-pencil Linear Representations Assessment (LRA) to examine students'…

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…

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…

In the fall of 2005 the Maui Educational Consortium began a project that was funded through the Math Science Partnership program to implement the "Cognitive Tutor[R]" (CT) program, published by Carnegie Learning, in some of the Algebra 1 classes in the Maui School District and at the Maui Community College. At that time, Empirical…

The Maui Hawaii Educational consortium (the Maui School District and Maui Community College) sought scientifically based evidence for the effectiveness of the "Cognitive Tutor (CT) Algebra I Curriculum" to inform adoption decisions. Decision makers were particularly interested in whether the use of the "CT" program affects…

Under the "Math Science Partnership Grant," the Maui Hawaii Educational Consortium sought scientifically based evidence for the effectiveness of Carnegie Learning's "Cognitive Tutor[R]" (CT) program as part of the adoption process for pre-Algebra program. During the 2006-2007 school year, the researchers conducted a follow-on…