Cognitive Load Theory's Four Component Instructional Design (4C/ID) Model has been used in mathematics education but not confirmed as an instructional theory. Using the Factors Influencing College Success in Mathematics (FICSMath) project and confirmatory factor equation modeling, we empirically validated the model and created the 4C/IDMath Model.…

The need to improve student success in community colleges has resulted in a growing interest in developmental mathematics. Yet there remains a need to understand the motivations and beliefs of developmental mathematics students in order to cultivate their success. Self-efficacy has been identified to be a predictor of student success. Little is…

Developing a new assessment requires the expertise of both content experts and assessment specialists. Using the example of an assessment developed for Ontario's Colleges Mathematics Assessment Program (CMAP), this article (1) describes the decisions that must be made in developing a new assessment, (2) explores the complementary contributions of…

Purpose: This study presents the competence level of education students in College Geometry and the development of a Computer Generated Instructional Materials (CGIM). Method: This research used the model for research and development by Borg and Gall (2003) with revision. The researchers developed a CGIM, specifically, the worktext paired with…

Offering "Early Start" programs in the summer before students start their first year of college is one of the strategies that the California State University (CSU) system has used to support incoming students who may not be ready for college-level work in mathematics or written communication. In 2017, the CSU system began implementing a…

This report is part of a series focusing on studies intended to inform the California State University (CSU) system about the implementation of Executive Order 1110 (EO 1110). A major policy adopted by the CSU Chancellor's Office in 2017, EO 1110 requires CSU campuses to eliminate noncredit developmental courses -- often known as…

This study examined mathematics self-efficacy and the characteristics of flow in the context of performing mathematical tasks. In particular, it explored the subjective experiences of 113 undergraduate students enrolled in a developmental mathematics course while they were independently solving certain mathematical problems. This study…

This brief summarizes results from a study on the experience of inter-sector math misalignment (ISMM), when students who were deemed "college-ready" by high school standards were placed in developmental courses upon enrolling in a local community college. Given that racially minoritized students are more likely to be placed into…

Contextualization is a method used for mathematics curriculum design within lesson plans and as a pedagogical practice in face-to-face classes. Many researchers are studying the effects of using contextualization in the teaching and the learning process for mathematics (Bottge & Cho, 2013; Perin, 2011; Young, Hodge, Edwards, & Leising,…

Learning by invention is an alternative approach to teaching statistics where students are tasked with attempting to solve a problem before being taught the canonical formula for solving it, often resulting in increased understanding of material compared with traditional instruction. The first study, conducted in a college statistics classroom…

A literature review establishes a working definition of recreational mathematics: a type of play which is enjoyable and requires mathematical thinking or skills to engage with. Typically, it is accessible to a wide range of people and can be effectively used to motivate engagement with and develop understanding of mathematical ideas or concepts.…

Mathematics, along with the need for logic and thinking, is becoming more important in many fields. Therefore, many universities in Korea have opened and operated a college basic math course to improve basic math skills for freshmen in science and engineering. The new generation of digital generation is creative, familiar with cooperation and…

College readiness of students and the effectiveness of remedial mathematics courses have been under consideration for the last two decades. There is a considerable misalignment between the expectations of students regarding secondary education and those regarding higher education. Information about current expectations and perspectives of college…

The University of Wollongong's first locally developed and hosted Massive Open Online Course (MOOC) "The Reluctant Mathematician" was run in the last four weeks of our summer holiday, prior to Autumn session in 2014. It was developed to lift maths skills at our university and also in the community--where maths skills continue to be a…

Teachers often promote care in doing calculations, but for most students a single mistake rarely has major consequences. This article presents several real-life events in which relatively minor mathematical errors led to situations that ranged from public embarrassment to the loss of millions of dollars' worth of equipment. The stories here…