We present an algorithm for a matrix-based Enigma-type encoder based on a variation of the Hill Cipher as an application of 2 × 2 matrices. In particular, students will use vector addition and 2 × 2 matrix multiplication by column vectors to simulate a matrix version of the German Enigma Encoding Machine as a basic example of cryptography. The…

Multiple initiatives contend that all students should master computational thinking, including the "Next Generation Science Standards, the K-12 Framework for Computational Thinking," and Code.org. In turn, many physics teachers have begun to explore a variety of approaches to integrating computational modeling through programming. These…

We implemented a laboratory curriculum reform to teach foundational concepts in chemistry, particularly those concepts related to healthcare, in a chemistry course for prenursing students. Here, we discuss the reform, exploring how students built upon understandings gained in lab and correlating lab learning to course outcomes. We further discuss…

There is a perception amongst some of those learning computer programming that the principles of object-oriented programming (where behaviour is often encapsulated across multiple class files) can be difficult to grasp, especially when taught through a traditional, didactic "talk-and-chalk" method or in a lecture-based environment. We…

The authors present three strategies for making sense of students' mathematical thinking. These lenses make the abstract idea of "making sense of student thinking" more manageable and concrete. We start by taking an initial look at a student's idea, going deeper, and finally looking across several ideas.

This article explicates the development of top-view numeric coding of 3-D cube structures within a design research project focused on 3-D visualization skills for elementary grades children. It describes children's conceptual development of 3-D cube structures using concrete models, conventional 2-D pictures and abstract top-view numeric…

Designing opportunities for students to discover core science concepts can be challenging, however, with a good understanding of their interests, proper planning, and the use of technology and the outdoors, students can become engaged in a way that can leave a legacy for future students. Last fall, this author designed a nine-session unit for a…

By 2020, five of the top ten in-demand jobs in the United States will be in information technology (Moeller 2012). Companies across the nation are seeking a new type of employee: one who is computer savvy and who is familiar with computer coding, data, mathematics, and augmented reality (Leber 2013). Recent reports indicate that, although students…

The five stage cycle model is an interactive flash platform that proposes a challenging scenario with associated questions about light wave features and correlations. As the students navigate from stage to stage, they are able to access some related resources and engage in small group discussions. The students are able to revisit their responses…