A potential for learning probability in young children

Sixty-one children, from 4 to 11 years old, were presented with two sets, each containing blue and yellow elements. Each time, one colour was pointed out as the payoff colour (POC). The child had to choose the set from which he or she would draw at random a POC element in order to be rewarded. The sets were of varying sizes with different proportions of the two colours. The problem was to select the higher of the two probabilities. Three kinds of materials were used: Pairs of urns with blue and yellow beads, pairs of roulettes divided into blue and yellow sectors, and pairs of spinning tops, likewise divided into two colours.Roughly around the age of six, children started to select the greater of the two probabilities systematically. The dominant error was selecting the set with the greater number of POC elements. Verbal concepts of probability and chance were explored and some egocentric thought processes were described. The study indicates that probability concepts could be introduced into school teaching even in the first grades. The deterministic orientation in the instruction for young ages should be attenuated, permitting concepts of uncertainty right from the beginning.     

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.     

Teaching a Biotechnology Curriculum Based on Adapted Primary Literature

Adapted primary literature (APL) refers to an educational genre specifically designed to enable the use of research articles for learning biology in high school. The present investigation focuses on the paedagogical content knowledge (PCK) of four high‐school biology teachers who enacted an APL‐based curriculum in biotechnology. Using a constructivist qualitative research approach, we analysed those teachers' aims and beliefs, the instructional strategies they used during the enactment of the curriculum, as well as the outcomes of the enactment as perceived by the teachers and their students, and as reflected in the class observations. Some of the teachers' strategies applied during the enactment, such as the conversational model, were specifically designed for teaching APL‐based curricula. We found that the instructional strategies applied for the adapted articles were associated with cognitive and affective engagement, active learning, inquiry thinking, and understanding of the nature of science. Suitable teacher PCK promoted learning by inquiry in addition to learning on inquiry. Students' challenges were mainly linked to the comprehension of complex, multi‐stage, biotechnological processes and methods that are abundant throughout the curriculum and required the use of previous knowledge in new contexts. A complex interaction of factors, namely teachers' PCK, the APL genre, and the biotechnology content of the curriculum, shaped the instructional strategies of the new curriculum and the outcomes of its enactment     

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.