Due to COVID-19 pandemic restrictions, new instructional designs for mathematics courses have recently been developed. Unlike traditional e-learning courses, distance learning via videoconferencing contains more synchronous elements and is therefore more closely related to classroom instruction. Since theories of person-environment fit suggest…

Breakthrough Collaborative operates as two dozen community-based affiliates supported by a national office. Traditionally, the Breakthrough model has consisted of two components: (1) a summer enrichment program that provides academic and social-emotional learning support to students; and (2) out-of-school-time tutoring and enrichment during the…

Analysis of mathematical notations must consider both syntactical aspects of symbols and the underpinning mathematical concept(s) conveyed. We argue that the construct of "syntax template" provides a theoretical framework to analyse undergraduate mathematics students' written solutions, where we have identified several types of…

The art of teaching freshmen students is undergoing a rapid paradigm change. Classical forms of teaching are not applicable any more and an unmanageable offer of new multimedia tools and concepts is glutting the market. Moreover, compared to previous courses, the class size triples. In view of these challenges, we implemented a new teaching…

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…

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…