Creativity is typically defined as the generation of novel and useful ideas or artifacts. This generative capacity is crucial to everyday problem solving, technological innovation, scientific discovery, and the arts. A central concern of cognitive scientists is to understand the processes that underlie human creative thinking. We review evidence…

Analogy has played an important role in developing modern mathematics. However, it is unclear to what extent students are granted opportunities to productively reason by analogy. This article proposes a set of lessons for introducing topics in ring theory that allow students to engage with the process of reasoning by analogy while exploring new…

In their recent article on teachers' proportional reasoning, Copur-Gencturk et al. (2022) draw attention to a type of strategy that they call "relative", lodged right between additive and multiplicative thinking. This strategy raised interest in our research team, as it aligned well and helped give stronger meaning to some strategies…

In science, one of the most crucial representations for constructing meaning about physical events is graphs. The first graph students encounter in science class is the constant velocity motion graph. Therefore, examining students' understanding of structuring and interpreting these graphs for the relationship between distance, time, and velocity…

Anxiety-driven counterfactual thinking can be a slippery slope. Building on the premise that both positive and negative emotions can impact creativity, the present study examines how trait anxiety, optimism, and other mental health factors like therapy experience shape outputs in divergent thinking (DT) tasks. Using an online sample (N = 647), the…

Global climate change (GCC) is one of the greatest challenges of our age and a highly significant socio-scientific issue (SSI). Developing secondary students' understanding about the Earth's climate and GCC is critical for empowering future citizens and a key focus of the "Next Generation Science Standards" (NGSS Lead States, 2013). In…

Mathematics is an essential subject in schools, helping develop cognitive skills such as critical analysis, logical reasoning, and problem-solving. However, academic achievement in mathematics often declines, with some students having difficulty understanding mathematical ideas. Many factors influence mathematics achievement, including students'…

Data comparison problems are used in teaching and science education research that focuses on students' ability to compare datasets and their conceptual understanding of measurement uncertainties. However, the evaluation of students' decisions in these problems can pose a problem: e.g., students making a correct decision for the wrong reasons.…

Conceptual approaches to contemporary physics topics pose many learning challenges. One factor influencing knowledge integration is a student's epistemic framing. Epistemic frames provide a context within which a particular situation is perceived, interpreted, and judged. The objective of this study is to explore secondary students' framings…

The idea of "threshold concepts" has been used to identify discipline-based concepts that are critical to that academic area. Threshold concepts are often difficult for students to assimilate in a meaningful way but, once done, can be powerful for the learner. In general, threshold concepts are 1) transformative to learner thinking; 2)…

Understanding human behavior and reasoning is essential for developing successful instruction. Discipline-based education researchers have examined how students learn, informing the development of successful instructional strategies. Researchers have also identified barriers to the successful implementation of such strategies. This work utilizes…

The greenhouse effect poses a significant environmental challenge to humanity today. Research shows that many students lack adequate knowledge about this phenomenon. To address this issue, we have developed educational materials that utilize various instructional approaches to improve primary school students' understanding and attitudes toward the…