Consensus is Unfair

A coefficient of unfairness in the allocation of goods to people can be extended to measuring consensus among judges. The notion of relative variability underlies the formation of these measures.     

THINK: A Game of Choice and Chance

A game of chance in which players can maximise their expected gain by making appropriate decisions is described. Developing an optimal strategy involves computing probabilities and conditional expected values.     

A Closer Look at the Notorious Birthday Coincidences

The article asks about the minimal number of persons required for achieving a probability 1/2 that a . At least two share a birthday, b . At least one shares the reader's birthday. A basic question about the necessary number of checks underlies both problems.     

Implementing History and Philosophy in Science Teaching: Strategies, Methods, Results and Experiences from the European HIPST Project

This paper presents a rationale for utilizing HPS to teach physics and the NoS developed in the course of a project funded by the European Union. A core feature of this approach is formed by the development of historical case studies for the use in lessons. Furthermore, the learners?? perspectives are explicitly taken into account. Teaching methods comprise student-centered activities as creative writing for understanding science and scientists and role-play activities. Emphasis is laid on experimental work which is performed with the help of true-to-the-original replications of historical apparatus, especially built for this purpose. A new characteristic for NoS learning is introduced, namely the reflection corner giving the opportunity to explicitly discussing the relationship between history, knowledge acquisition, and the application of scientific findings. In order to make use of the special skills, creative potentials and experiences of teachers a symbiotic strategy for the development and evaluation process of the teaching material was adopted where a close and long-standing cooperation between science teachers and science educators could be established. On this basis the German partners were able to complete numerous case studies from the fields of mechanics, electricity, magnetism and heat.     

2020 Vision: Envisioning a new generation of STEM learning research

In this issue, we have compiled six original papers, outcomes from the U.S. National Science Foundation (US-NSF)-funded REESE (Research and Evaluation on Education in Science and Engineering) 2020 Vision: The Next Generation of STEM Learning Research project. The purpose of 2020 Vision was to re-envision the questions and frameworks guiding STEM research in the twenty-first century, given that notions of learning have changed significantly in the last decade. The papers present diverse research principles that emerged from an initial 2020 Vision conference at Oregon State University (OSU), were then vetted more broadly with the science education community nationally and internationally, and presented in a public 2020 Vision symposium series also at OSU. Individually and as a group, these papers argue that if STEM learning is lifelong, life-wide and life-deep, research designs need to cut across the diverse settings and investigate the multiple contexts and media in which learners live and interact. Authors call for research paradigms that holistically reflect questions of the “what, when, where, why, how and with whom” of STEM learning. Associated Forum papers respond and expand the conversation by critically examining the recommended research principles and in some cases, challenging both authors and editors to think even more broadly. Two Key Contributor pieces highlight the contributions of researchers who have helped to push on these research boundaries, advancing science education research nationally and internationally. A final synthesis paper, a case study of research being conducted in a diverse, under-resourced community in Portland, Oregon provides one example of how the 2020 Vision research principles might be integrated into a comprehensive STEM learning research study.     

A tale of two probabilities

Two contestants debate the notorious probability problem of the sex of the second child. The conclusions boil down to explication of the underlying scenarios and assumptions. Basic principles of probability theory are highlighted.