In this brief article, Peter, Larissa and Doug present a single-page scaffold that challenges us to think of the mathematical proficiencies in a whole new way. By thinking of the proficiencies as verbs, they can be seen as purposeful learner actions and offer clues as to what it might mean to be a mathematician.

Background: Surprisingly little is known from a research perspective about the conceptual development of children's understanding of rainbows and rainbow formation. Yet research has shown that teachers tend to overestimate the proportion of students' correct answers in this domain. The present cross-sectional study aims to rectify this…

The purpose of this study was to describe students' thinking processes in relating quantities to the problem of covariation in the process of solving mathematical problems. This study used a descriptive exploratory approach within the scope of qualitative research involving 87 students as prospective subjects from three different high schools. The…

Chemical kinetics is an important topic that is reinforced across the undergraduate chemistry curriculum, but previous research indicates students tend to have difficulty developing a sophisticated understanding of reaction rate. In this qualitative case study, we characterized how two students conceptualized reaction rate in the context of…

In physics and chemistry, the development of problem-solving skills is necessary to become an expert. A simple cognitive model to analyse such development is proposed and tested. An exploratory research was conducted with expert professors and students in initial and advanced years. A think aloud procedure was used to obtain relevant data while…

Both children and adults struggle to explain the cause of the day/night cycle and the seasons (Schoon 1995). Early elementary students may not be developmentally ready to explain that patterns of day and night are caused by Earth's rotation on its axis, or that the seasons are caused by Earth's tilted axis as the planet revolves around the Sun.…

Biological organisms function as the result of a multitude of complex physical systems all interacting with one another at different length scales and over different time scales. At stages of education below university undergraduate level, this complexity often prevents the discussion of physics within a biological context, subtly implying that…

The nature of the learning that occurs with real versus replicated objects and environments is an important topic for museums and science centers. Our comparative, exploratory study addressed this area through an investigation of family visits to two different settings: an operating permafrost research tunnel, and a replica of this permafrost…

This research focuses on young children's understandings about economic, social, and environmental sustainability. Participants were 43 children, aged from 3 to 7 years of age, recruited from two kindergartens in Croatia. Children's ideas were discussed through semi-structured interviews that focused on saving, spending, recycling, justice,…

Background: Prior research with adults and children suggests that inhibitory control may have a role to play in learning counterintuitive fractions and decimals that are inconsistent with whole number knowledge. However, there is little research to date with primary school-aged children at the early stages of fraction and decimal instruction that…

Although the field of educational neuroscience has grown in recent years, little research has been conducted on conceptual change and science learning through an educational neuroscience framework. Educational neuroscience is frequently used to study processes of language and mathematics cognition, but is not extensively applied to conceptual…

Creative generation is structured around existing knowledge and task examples, yet overreliance on specific examples may limit imagination (Ward, T. B., Finke, R. A., & Smith, S. M., 1995). The constraining influence of knowledge during creative generation may be offset by conceptual expansion, a process of thinking outside traditional…

Developments in early childhood education (ECE) over the last two decades have for many countries meant a change towards a more subject-oriented pedagogy in which preschool staff are commissioned to teach technology to young children. This has been proved to be a challenge to the staff. Through analysis of activities at two preschool units, this…

According to the definition, surface tension could be affected not only by intermolecular interaction but also by molecular area. However, in chemistry textbooks, surface tension is mainly explained only in terms of intermolecular interaction. Although the existing surface tension concept in the textbooks can lead to a variety of counterexamples,…

For abstract concepts to be well understood, students need to be familiar with the concepts and able to associate them correctly. Students cannot make scientific explanations on the subject unless they can establish relationships. This study aimed to determine the understanding level of 11th-grade high school students on "gases" in terms…