This paper introduces and illustrates Bi-relational Design (BD) as a general approach to (re)solving wicked problems. BD theorises oppositional, equipositional and para-positional approaches to problem-specific dyads (e.g., subjective/objective) based on a general consensus of research on epistemological development. These epistemic positions are…

Computational thinking (CT) is a fundamental skill for students, and assessment is a critical factor in education. However, there is a lack of effective approaches to CT assessment. Therefore, we designed the Three-Dimensional Integrated Assessment (TDIA) framework in this article. The TDIA has two aims: one was to integrate three dimensions…

Within mathematics teaching, ways to help students resolve proportional reasoning problems remains a topical issue. This study sought to investigate how a simple innovative procedure could be introduced to enhance skill acquisition. In two classroom-based experiments, 12-year-old students were asked to solve proportional reasoning mathematics…

The present study examines 5- to 8-year-old children's relation reasoning in solving matrix completion tasks. This study incorporates a componential analysis, an eye-tracking method, and a microgenetic approach, which together allow an investigation of the cognitive processing strategies involved in the development and learning of children's…

The goal of this paper is to promote computational thinking among mathematics, engineering, science and technology students, through hands-on computer experiments. These activities have the potential to empower students to learn, create and invent with technology, and they engage computational thinking through simulations, visualizations and data…

This study describes the possible variations of thought experiments in terms of their nature, purpose, and reasoning resources adopted during the solution of conceptual physics problems. A phenomenographic research approach was adopted for this study. Three groups of participants with varying levels of physics knowledge--low, medium, and high…

Recent evidence suggests that people are highly efficient at detecting conflicting outputs produced by competing intuitive and analytic reasoning processes. Specifically, De Neys and Glumicic (2008) demonstrated that participants reason longer about problems that are characterized by conflict (as opposed to agreement) between stereotypical…

The focus of the present study is on the developmental antecedents of domain-general experimentation skills. We hypothesized that false-belief understanding would predict the ability to distinguish a conclusive from an inconclusive experiment. We conducted a longitudinal study with two assessment points (t1 and t2) to investigate this hypothesis.…

In this article, the authors discuss how acknowledging and embracing that the sample space is one of many ways to partition the set of all possible outcomes impacts the teaching and learning of sample space and probability. After recounting an exchange surrounding two viable answers to a probability question, the authors detail how developments…

In this research we present the use of some technologies in problem solving activities (at different secondary school grades), aimed at finding a model for a geometric configuration, and representing this model in various ways: through a construction, through a Cartesian graph, etc. The task is part of a teaching experiment, in which students used…

Active learning pedagogies play an important role in enhancing higher order cognitive skills among the student community. In this work, a laboratory course for first year engineering chemistry is designed and executed using an inquiry-based learning pedagogical approach. The goal of this module is to promote higher order thinking skills in…

James Clerk Maxwell "translated" Michael Faraday's experimentally-based field theory into the mathematical representation now known as "Maxwell's Equations." Working with a variety of mathematical representations and physical models Maxwell extended the reach of Faraday's theory and brought it into consistency with other…

The purpose of this study is to investigate the effects of a ubiquitous problem-based learning system (UPBLS) on students' question-raising performance in field inquiry activities. An experiment was conducted on an elementary school natural science course. A total of 43 sixth and fifth grade elementary students divided into experienced and…

In this article, which includes three video clips, the author argues that the small experiments, inventions, strategies, and pauses in young children's play seen in the clips reveal a legitimate form of scientific thinking. He notes that science and play both represent a frame of mind, an attitude toward the events one observes. (Contains 3…

Using two experiments, the authors examined the extent to which the scientific thinking circle can be used as heuristics to support scientific thinking in a classroom of children between the ages of 3 and 9 years old. To do this, the authors asked the children to build a bridge, raft, or electrical circuit using the material available to them.…