'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.

An open-ended serious game can engage students' scientific problem-solving processes. However, understanding how students learn higher-order thinking skills through solving a problem in an open-ended game system is a challenge. The complex game systems may make learning more difficult for students with different characteristics such as an at-risk…

The trend in history education is gradually emphasizing the development of historical thinking and collaborative problem-solving skills, which are expected to enhance the breadth and depth of learners' thinking. The integration of game-based learning with collaborative problem-solving activities designed for historical thinking is expected to help…

Process data are becoming more and more popular in education research. In the field of computer-based assessments of collaborative problem solving (ColPS), process data have been used to identify students' test-taking strategies while working on the assessment, and such data can be used to complement data collected on accuracy and overall…

In this explorative study, we investigate how sequences of behaviour are related to success or failure in complex problem-solving (CPS). To this end, we analysed log data from two different tasks of the problem-solving assessment of the Programme for International Student Assessment 2012 study (n = 30,098 students). We first coded every…

This study examined the relationship between secondary school students' problem-solving success and perceptions using a relational survey model. This study investigated 378 students (212 girls and 166 boys) in the sixth, seventh, and eighth grades between 11 and 14 years old using the convenience sampling method. The problem-solving inventory for…

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…

Laboratory courses can help students learn in a meaningful way. In the past, students encountered difficulties in chemistry laboratory courses due to limited access to equipment and space for practicing experimental operations. In recent years, virtual laboratories have allowed students to repeatedly practice in order to achieve their experimental…

Background: Group size is one of the important factors that affect collaborative learning, however, there is no consensus in the literature on how many students should the groups be composed of during the problem-solving process. Objectives: This study investigated the effect of group size in a K-12 introductory Artificial Intelligence course by…

More research is needed on how to best use analytics to support educational decisions and design effective learning environments. This study was to explore and mine the data captured by a digital educational game designed for middle school science to understand learners' behavioral patterns in using the game, and to use evidence-based findings to…

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…

Online educational games have been widely used to support students' mathematics learning. However, their effects largely depend on student-related factors, the most prominent being their behavioral characteristics as they play the games. In this study, we applied a set of learning analytics methods (k-means clustering, data visualization) to…

Online educational games have been widely used to support students' mathematics learning. However, their effects largely depend on student-related factors, the most prominent being their behavioral characteristics as they play the games. In this study, we applied a set of learning analytics methods ("k"-means clustering, data…

This study examined interparental conflict as a linear and curvilinear predictor of subsequent changes in adolescents' negative emotional reactivity and cortisol functioning during family conflict and, in turn, their psychological difficulties. In addition, adolescents' negative emotional reactivity and cortisol functioning during family conflict…

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…