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.

Background: Nanotechnology, a multidisciplinary field with increasing societal importance, demands for an increase in research abilities and capacities. Yet, nanoscience and nanotechnology (NST) are largely inaccessible to K-12 students. This situation demands efforts in research towards bringing NST learning into K-12 classrooms. Purpose: The…

Technical artifacts play a central role in teaching and learning about technology. The artifact exemplars used in the classroom to illustrate and discuss various technological concepts should therefore be carefully chosen in order to actually support the abstraction and successful transfer of these concepts. Research from the learning and…

Contribution: The authors present a methodology for assessing both novelty and systems thinking, as expressed in the same conceptual models constructed by graduate engineering students. Background: Companies worldwide seek employees with creativity and systems thinking, since solving design problems requires both skills. Novelty and usefulness are…

Education for Sustainable Development (ESD) is becoming an important part of general education, based on a concept that includes three components: Environmental, Social and Economic. The sustainable development curriculum in Croatia is based on this concept, and activities in this area are mainly limited to environmental protection and ecological…

The aim of the study is to teach the concept of function using cryptology and to investigate whether it provides support to students who have difficulty integrating this topic into everyday life. The study's research group consisted of 50 elementary school teachers in the department of mathematics education at a public college in Ankara. Since the…

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…

Numerous studies have shown that mathematical knowledge is situational, meaning that students' abilities to transfer and apply skills depends on the conditions in which they were learned (Barab 1999; Boaler 2002, 2016). Given that the real world seldom presents problems that are confined to a single discipline (Barab 1999), it is imperative that…

Students often confuse the functional differences between motion "transmission" and "transformation" systems. Students find it difficult to conceptualize differences between the specific systems. In this article, the author describes a technology and engineering unit that incorporates problem-based learning (PBL) to assist…

Nanoscience and nanotechnology are two key areas in the development of new technologies. However, scientific advances in these fields are still far removed from the contents taught in schools. But what if basic concepts within these areas were introduced in secondary schools? We believe science is an essential facet of culture and the most recent…

This study aimed to develop pre-service science teachers' conceptual understanding of a nanoscience project through a newly introduced 8E learning cycle. This research was conducted during one semester of a nanoscience and nanotechnology course in the chemistry education department in Universitas Negeri Jakarta, Indonesia with thirty-three…

The proposed experiment can help students to understand the factors involved in the stability of gold nanoparticles (Au NPs) by exploring the adsorption interaction between Au NPs and various substances. The students in this study found that the surface plasmon resonance band of Au NP solutions underwent a red shift (i.e., from 520 to 650 nm)…

In this article I elucidate a conception of small worlds, or "ontological" contexts, within the curriculum that stand out and beyond the horizon of technological-scientific reality, which might be linked with forgotten, marginal ways of being and thinking. As I attempt to demonstrate, it is possible that such ontological worlds apart from…

As the application of nanotechnology in everyday life impacts society, it becomes critical for citizens to have a scientific basis upon which to judge their perceived hopes and fears of 'nano'. Although multiple instruments have been designed for assessing attitudinal and affective aspects of nano, surprisingly little work has focused on…

Based on our research on two Athenian daily newspapers for the first decade of the twentieth century, we present some historiographical reflections concerning the role of the daily press in the circulation of scientific knowledge, ideas and practices. From the wealth of material provided, we examine some of the ways in which scientific and…