Evaluating evidence and restructuring beliefs based on anomalous evidence are fundamental aspects of scientific reasoning. These skills can be challenging for both children and adults, especially in domains where they possess inaccurate prior beliefs that can interfere with the acquisition of correct scientific information (e.g., heavier objects…

Contribution: This research illuminates information entropy's efficacy as a pivotal educational tool in programming, enabling the precise quantification of algorithmic complexity and student abstraction levels for solving problems. This approach can provide students quantitative, comparative insights into the differences between optimal and…

Design thinking and virtual reality continue to infiltrate the K-12 landscape, with incredible promise for fostering deeper engagement with content. Design thinking in particular embodies maker education's beliefs in learning through building, but with the added caveat of solving real-world problems with the consideration of others' perspectives.…

Despite substantial research exploring multiplicative thinking and students' difficulty in the domain, the topic of multi-digit multiplication is under-researched. In this paper, I share a learning trajectory for multi-digit multiplication that combined social and cognitive perspectives of learning. Using Design Research methods and involving 45…

Although the growth mindset is essential to students' math achievement, its mechanism of influence remains uncertain, particularly for college students. Accordingly, this study explored the relationship between college students' growth mindset and their math achievement, as mediated by their self-efficacy and reasoning ability. The study data were…

This study aims to describe preservice mathematics teacher knowledge of higher order thinking skills in terms of definition, Bloom's taxonomy level, curriculum, learning, and evaluation. This research is quantitative research with a survey method. and sample consisted of 248 preservice mathematics teachers in semesters VI-VIII of the Department of…

For students to be able to compete and overcome challenges in the future, critical thinking is essential. The study's descriptive methodology aims to describe the students' critical thinking abilities. Every high school in a South Sulawesi district made up the research population. Based on school accreditation, with the use of a proportionate…

Noticing is an essential skill for all teachers of mathematics. Mathematics teacher educators have utilized a variety of tools to practice and develop preservice teachers' (PSTs') ability to notice, which we extend to include photographs and learning trajectories. This article explores PSTs' noticing skills by analyzing work samples from a methods…

Students face a complex, globalized, digitalized and polarized world, with world-wide challenges such as the pandemic, climate change and political conflict. In this context, the younger generations face the challenge of developing complex, yet articulated, identities to collectively imagine possible futures in an uncertain and fragmented world.…

Number line estimation has been found to be strongly related to mathematical reasoning concurrently and longitudinally. However, the relationship between number line estimation and mathematical reasoning might differ according to children's level of performance. This study investigates whether findings from previous studies that show number line…

Interactive computer simulations are commonly used as pedagogical tools to support students' statistical reasoning. This paper examines whether and how these simulations enable their intended effects. We begin by contrasting two theoretical frameworks--"dual processes" and "grounded cognition"--in the context of people's…

We investigate the articulation between domain-general reasoning and interpretive processes in failures of deductive reasoning. We focus on illusory inferences from disjunction-like elements, a broad class of deductive fallacies studied in some detail over the past 15 years. These fallacies have received accounts grounded in reasoning processes,…

Creative thinking transforms existing information, either from long-term memory or external sources, into new representations and innovative ideas. Creative thinking is an activity that processes received information to produce new representations and innovative ideas. Developing this skill is essential for students; however, recent research has…

Design thinking, an approach traditionally used to develop or improve products, services, or processes within design and engineering sectors, has emerged as a novel pedagogical approach. As design thinking becomes more widely established within education contexts, it is important to gain deeper insight as to how such learning environments operate.…

Our technological, information-rich society thrives because of scientific thinking. However, a comprehensive theory of the development of scientific thinking remains elusive. Building on previous theoretical and empirical work in conceptual change, the role of credibility and plausibility in evaluating scientific evidence and claims, science…