We introduce learning modules in cryptography that can be crafted to motivate many abstract mathematical ideas, and we illustrate with a sample module. These modules can be used in a variety of ways, such as the core for a cryptography course or as motivating topics in other courses such as abstract and linear algebra or number theory.

Rising numbers of English learners (ELs) being placed in general education high school mathematics classrooms with underprepared teachers is an increasing concern in U.S. public schools. Despite its importance, there has been little research on how to best support high school mathematics teachers in their attempt to teach both the highly…

In this paper, we introduce novel instructional approaches to engage students in using modelling with data to motivate and teach differential equations. Specifically, we introduce a pedagogical framework that will execute instructional modules to teach different solution techniques for differential equations through repositories and notebook…

Digital modules typically refer to self-contained units of online learning materials designed for specific topics or learning objectives. The researcher developed digital modules for three specific math units and conducted a three-week experiment in six schools in three districts of Punjab. The purpose of the study was to find the effectiveness of…

This research is motivated by observations that show the lack of additional teaching materials in schools that facilitate students in communicating mathematical ideas (symbols, pictures, and graphs) as well as concepts related to fractions by presenting the surrounding environment as a source of learning. The purpose of this study is to reveal the…