'Mathematical sophistication' behaviours are often exercised by mathematicians in their work. In this article, the importance of mathematical sophistication will be discussed and three mathematics problems that activate mathematical sophistication behaviours will be presented.

Block-based programing languages (BBPL) provide effective scaffolding for K-12 students to learn computational thinking. However, the output-based assessment in BBPL learning is insufficient as we can not understand how students learn and what mistakes they have had. This study aims to propose a data-driven method that provides insight into…

Students in the 21st century are expected to possess the ability to solve ill-defined complex problems (ICPs). One challenge to understanding students' ability to solve ICPs is the lack of methods for measuring noncognitive and metacognitive behaviors and relating those behaviors to cognitive behaviors with the goal of investigating differences in…

Literature typically describes mathematization, the process of transforming a real-world situation into a mathematical model, in terms of desirable actions and behaviors students exhibit. We attended to STEM undergraduate students' quantitative reasoning as they derived equations. Analysis of the meanings they held for arithmetic operations (+, -,…

This study aimed to describe the creative thinking process of students with active learning styles in proposing and solving problems on geometry material. The research instruments were Honey and Mumford's Learning Style Questionnaire (LSQ), problem-solving and submission test sheets, and interview guidelines. The LSQ questionnaire was distributed…

This study proposed a cognitive-based game mechanism based on the revised Bloom's taxonomy of cognitive processing dimensions. Moreover, a mobile Chinese history educational game, Void Broken: The Qing Dynasty, was developed based on the cognitive-based game mechanism to promote learners' cognitive thinking in history learning. This empirical…

This study utilized unplugged computational thinking learning material named Robot City as the instructional material. The board game corresponds to structural programming, including sequential structure, conditional structure, repetitive structure, and the modeling concept of calling a procedure in programming languages. According to the…

Over the last century human activities have resulted in a rapid accumulation of carbon dioxide (CO[subscript 2]) in the atmosphere, creating severe damages in the environment. This study investigates how the use of a digital tool, a so-called carbon footprint calculator (CFC), instrumental to calculating CO[subscript 2] emissions of human…

The proposed revisions to the "Australian Curriculum: Mathematics" highlight the importance of learning to mathematise, problem-solve and reason in real world contexts, including financial contexts. Through the Economics + Maths = Financial Capability research project, the authors have been imagining fresh ideas for connecting the…

This study addressed predictors of the development of word problem solving (WPS) across the intermediate grades. At beginning of 3rd grade, 4 cohorts of students (N = 261) were measured on computation, language, nonverbal reasoning skills, and attentive behavior and were assessed 4 times from beginning of 3rd through end of 5th grade on 2 measures…

Three- and 4-year-old children were asked to judge which of a set of 3 lines was the longest, both independently and in the face of an inaccurate consensus among adult informants. Children were invariably accurate when making independent judgments but sometimes deferred to the inaccurate consensus. Nevertheless, the deference displayed by both age…

This article demonstrates how the system archetype "drifting goals" can be used in the classroom to explore ethical dilemmas. System archetypes provide a framework that shifts the focus from seeing ethical dilemmas as stemming solely from the acts of individuals to exploring the systemic structures that are responsible for generic patterns of…

Current research continues to attempt to determine factors, or combinations of factors, which influence efficacy in problem solving behaviors. This presentation combines several viewpoints regarding the most important component, or combination of components, needed for the most successful problem solving behaviors to occur. Quantitative literature…

The evolution of creative thought was examined, an examination that resulted in the construction of universal criteria for analysis and detailed evidence for the evolution of novelty, i.e. how children create knowledge. The collected data came from 200 students from the United States and 200 from Brazil. Each of the 10 age groups (from 4 to 13…