Contribution: Using threshold concepts as the framework for curriculum design, a project on neural network methods for solving differential equations is presented, with a rich set of transformative concepts from mathematics and computer science. Projects of this kind complement a typical curriculum with expertise that is crucial for critique and…

We present a detailed description of a Cryptography and Computer Security course that has been offered at Knox College for the last 15 years. While the course is roughly divided into two sections, Cryptology and Computer Security, our emphasis here is on the Cryptology section. The course puts the cryptologic material into its historical context…

Algebraic Thinking (AT) and Computational Thinking (CT) are pivotal competencies in modern education, fostering problem-solving skills and logical reasoning among students. This study presents the initial hypotheses, theoretical framework, and key steps undertaken to explore characterized learning paths and assign practice-relevant tasks. This…

The purpose of this study was to explore how kindergarten students (aged 5-6 years) engaged with mathematics as they learned programming with robot coding toys. We video-recorded 16 teaching sessions of kindergarten students' (N = 36) mathematical and programming activities. Students worked in small groups (4-5 students) with robot coding toys on…

This study aims to map the landscape of the importance of previous research on computational thinking (CT) in mathematics learning over the last decade. This research is a literature review research, there are 113 publications collected from the Scopus database which are then analyzed using the bibliometric analysis method assisted by the…

A new course development is intended for students to investigate the intersection of mathematics with seemingly disparate areas of art, music, architecture, and nature. The course is designed to allow students to explore the hidden connections between the aesthetic pleasures of art, music and nature and that of mathematical foundations and how the…

Computational thinking and programming have emerged as central 21st-century skills. Several countries have embedded these skills in their school curricula. This study investigates how an optional programming course affects eighth-grade mathematical problem solving in Norway using a quasi-experimental design with pre- and post-tests. These tests…

Mastery-based assignments typically provide students with multiple opportunities to improve their performance, but getting students to take advantage of these opportunities is difficult. We report on the implementation of a two-part series of nudges designed to improve students' engagement with and performance on mastery-based assignments in…

Online collaborative learning (OCL) based on the community of inquiry (CoI) framework is often implemented in the form of an online discussion activity for teaching subjects that require learners to revise their understandings and invent ways to solve problems. However, implementing OCL is challenging due to the difficulty of fostering…

Background: With the rapid advancement of technology, the integration of Generative Artificial Intelligence (GAI) in education has gained considerable attention. Many studies have examined GAI's impact on learning outcomes, yet their conclusions are inconsistent, highlighting the need for a comprehensive review to clarify its overall effects and…

Integrating computational thinking (CT) into various disciplines via computer science (CS) methods such as unplugged, block-based, text-based, and physical programming is a trending topic in educational sciences. This study presents a perspective on implementing an unplugged computer science activity to integrate CT into mathematics education.…

Research has frequently demonstrated negative effects of placing students into developmental education, but very little inquiry has considered the impact of placing students into different levels of non-developmental coursework. The present study explored this issue within sequenced pairs of STEM gateway courses using doubly-robust propensity…

This study explores the integration of game play into an inclusive, hands-on computing project in Calculus class. The project is focused on designing and analyzing priority switches for applications competing for computational resources on embedded devices such as smart watches and tablets. By engaging students in real-world problem-solving…

Programming is an interdisciplinary practice with applications in both mathematics and computer science. Mathematics concerns rigor, abstraction, and generalization. Computer science predominantly concerns efficiency, concreteness, and physicality. This makes programming a medium for problem solving that mediates between mathematics and computer…

This study set out to answer research questions about the design of CPR2, the implementation of CPR2 in middle school classrooms, and the potential of CPR2 to improve both students' and teachers' abilities to engage in mathematical generalization. This report examines measures the extent to which CPR2 activities improved teachers' and students'…