The traditional view of evidence in mathematics is that evidence is just proof and proof is just derivation. There are good reasons for thinking that this view should be rejected: it misrepresents both historical and current mathematical practice. Nonetheless, evidence, proof, and derivation are closely intertwined. This paper seeks to tease these…

For the past decade, philosophers of mathematical practice have examined the nature and function of proofs in mathematical practice, most often in mathematical research practice. More recently they have examined how mathematicians assess and get to know a proof not just by reading it, but through active engagement with the proof. For example,…

Elementary particle physics is gradually implemented into science curricula at the high school level. However, common presentations on educational, semi-technical or popular level contain or support severe misconceptions. We discuss in particular the notion of 'particle', the interaction between them and the use of Feynman diagrams. In many cases…

Cybersecurity education and training are being conducted on an ever-increasing scale, as most organizations need to improve their readiness in dealing with the more and more frequent cyberattacks. However, most systems used for such education and training purposes are built from scratch, are highly customized, and often proprietary. This is true…

Among the basic aims of education, raising students as individuals that have the knowledge regarding the field as science literates and relate and reflect this knowledge to their daily life takes part. For this purpose, the curriculum and lessons should be given importance to daily life. At this point, in order for teachers to be able to include…

Research on impact of teacher beliefs on their practices has been recognized as one of the important aspects in the discipline of mathematics education. This study reports the results of a case study that gives an insight about the influence of professed beliefs of pre-service secondary mathematics teachers on their instructional practices in the…

Purpose: This study aims to present a meta-analysis of the use of serious educational games in museums. The analysis is based on a critical literature review that maps educational roles of museums against serious educational games used in support of those roles. The meta-analysis focuses on the specific context of informal learning in museums.…

The role of work and mechanical energy in classical relativity has been a subject of renewed interest in this publication. Here we present a problem that illustrates the relationship between impulse and kinetic energy for a rocket-powered object that can also change its gravitational potential energy. The same introductory physics principles lead…

This paper introduces and summarises a programme of German research into teaching started 20 years ago. This research draws on Herbart's analysis of teaching with its focus on 'Bildung' (formation) which is distinguished from the measurement/psychometric tradition. It offers the possibilities of a deeper empirical understanding of pedagogical…

For many students, introductory physics is an enormous hurdle to cross in their educational careers. Studies show that many students struggle with basic vector concepts and hold misconceptions of fundamental principles like Newton's laws, ideas essential to the understanding of higher-order physics concepts and for achieving success in engineering…

The consideration of context is crucial in the discipline of statistics. In this paper, I present a Foucauldian discourse analysis (FDA) of two popular high school mathematics textbook series in the United States investigating what contextual situations they construct for the (re)use of statistics. As FDA is a novel approach in statistics…

In the laboratory experiment described here, students synthesize silver nanostructures (AgNS) with different shapes and sizes to elucidate the shape- and size-dependent optical properties of nanostructured materials. Students also develop understanding of some thermodynamic and kinetic aspects of the synthesis process through this experiment. In…

At the Jewish History Museum and Holocaust History Center in Tucson, Arizona, photographs, text, and audio displays present Jewish histories alongside local histories of African-American, Latinx, and Native peoples -- among others -- in Southern Arizona, where Jews comprise only 2-3% of the population. In documenting our pedagogical tools for…

Golfers are constantly looking for ways to make golf easier, understandable, and consistent in efforts to lower their score and improve their game. Course management is essential for success in golf and is the name given to making smart decisions as one works their around the course. PEER refers to a four-part process (plan, evaluate, establish,…

After a quarter-century with historical thinking skills at the forefront of the history-teaching agenda, the news from history education is not good. In 2012, for example, the American Historical Association (AHA) observed, "the systematic teaching of history had all but ended in elementary schools across the country." In late 2018, the…