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…

The aim of the study was to investigate the validity level of Socrates-based linear algebra e-module, both material validity and design. This is a research and "development" (R&D) with ADDIE procedure: analysis, design, develop, implement, and evaluate. The participants were 30 students and 2 lecturers who supervised linear algebra…

The purpose of this study was to analyze the need to develop a teaching material needed in mathematics statistics lectures I. This study used a qualitative descriptive method oriented to the development of a product. The subjects of this study were fourth semester mathematics education students who were taking mathematics statistics course I and…

Background/purpose: Instructional modules are essential tools in supporting effective teaching and learning, particularly in mathematics education. Despite the increasing emphasis on learner-centered approaches, many teachers continue to adopt traditional strategies that prioritize content delivery over student engagement. This study was conducted…

As the demands of society are changing, a continuous adaptation of modules is needed on what to teach, how it should be taught, and ways to assess it. Therefore, the aim was to investigate how to constructively align learning outcomes, teaching-and-learning activities, and assessment tasks of a mathematics methodology module. The sample consisted…

The integration of biology with mathematics and computer science mandates the training of students capable of comfortably navigating among these fields. We address this formidable pedagogical challenge with the creation of transdisciplinary modules that guide students toward solving realistic problems with methods from different disciplines.…

This paper adds to the literature on the relationship between procrastination and academic performance. We measure procrastination as the speed with which students do an online math course on the ALEKS learning platform. This pre-admission course is mandatory for students that are weak in math. Using a large dataset of undergraduate students at a…

Middle school students who need help understanding how to manipulate math expressions involving the negative sign have demonstrated difficulty learning pre-algebra content that prepares them for higher-level math courses. This study involved a multimedia intervention to improve student negative sign proficiency and math self-efficacy. The…

The mathematical reasoning ability is one of the essential hard skills of a student, especially in solving everyday problems. In supporting the achievement of this mathematical reasoning ability, meaningful teaching materials are an essential part of keeping exciting and not dull a learning process. This study aimed to design and develop an…

Finite Mathematics has become an enormously rich and productive area of contemporary mathematical biology. Fortunately, educators have developed educational modules based upon many of the models that have used Finite Mathematics in mathematical biology research. A sufficient variety of computer modules that employ graph theory (phylogenetic trees,…