The overarching theme of this book can be simply stated: Building on a foundation of biologically based abilities, children construct number via sensorimotor and mental activity. In this chapter, we return to this theme, and we connect it to three additional themes that emerge across chapters: comparing competing models for conceptual change;…

Using Revised Bloom's Taxonomy (RBT), this study has examined the intellectual demands of the Senior High School Chemistry Curriculum (SHSCC) in China from a socio-historical perspective. Document analysis was adopted as a research method to analyze knowledge types and cognitive processes, the two dimensions of the cognitive learning objectives in…

Real-world processes are complex and require ideas from multiple disciplines to be explained. However, many science courses offer limited opportunities for students to synthesize scientific ideas into coherent explanations. In this study, we investigated how students constructed causal explanations of complex phenomena to better understand the…

Fractions are highly important. Therefore, it is crucial to understand the developmental trajectory of fraction knowledge and its main predictors and consequences. Our research team has proposed that we have a neurocognitive architecture dedicated to processing nonsymbolic ratios, which serves as a startup tool for fractions: the Ratio Processing…

Students' difficulties in quantum mechanics may be the result of unproductive framing rather than a fundamental inability to solve the problems or misconceptions about physics content. Using the theoretical lens of epistemological framing, we applied previously developed frames to seek an underlying structure to the long lists of published…

The purpose of this design based research study was to better understand and build from students' perceptual experiences of visual representations of the greenhouse effect. Twenty undergraduate students were interviewed as they engaged with an online visualization for the learning of the greenhouse effect. We found that, even though all students…

This study is a series of Didactical Design Research in prospective analysis stage to comprehensively identify some obstacles in learning negative integer in order to capture how the learning process used by teachers and how the impact on students in understanding the concept of negative numbers. This research is a case study administered to…

The reconciliation of theories of concepts based on prototypes, exemplars, and theory-like structures is a longstanding problem in cognitive science. In response to this problem, researchers have recently tended to adopt either hybrid theories that combine various kinds of representational structure, or eliminative theories that replace concepts…

Sketch inhibition is regularly alluded to by educators as a phenomenon within design higher education, and one having increasingly marked effects on industry - but has garnered little attention from academics. This paper provides a meta-analysis of the literature and evaluation of the anatomy and functions of sketching during design ideation…

This article presents a quasi-experiment which, with the use of Arduino and Scratch for Arduino (S4A), attempts to study their effect on self-efficacy and motivation towards Science Education, Computational Thinking (CT) and the views of 5th Grade students about concepts of electricity. It was conducted on the 5th Grade of a Primary School in…

Primary school students generally lack motivation for learning physics, which they perceive as a difficult subject. In order to overcome this problem, it is necessary to apply appropriate teaching approach. The aim of this research was to assess the educational efficiency of mind maps in physics and students' involvement when this approach is…

Mental models are representations of students' minds concepts to explain a situation or an on-going process. The purpose of this study is to describe students' mental model in solving mathematical patterns of generalization problem. Subjects in this study were the VII grade students of junior high school in Situbondo, East Java, Indonesia. This…

When establishing connections among representations of associated mathematical concepts, students encounter different difficulties and successes along the way. The purpose of this study was to uncover information about and gain greater insight into how student processes connections. Pre-calculus students were observed and interviewed while…

At Haverford High School, a suburban high school in Haverford, Pennsylvania, a mathematical achievement gap exists for economically disadvantaged, special education, and Black students. Researchers have found that students in lower tracked classes often receive less rigorous tasks, tasks with lower cognitive demand, and fewer tasks that focus on…

In a study investigating different ways to engage students in an individual preparation activity, we assessed learning from collaboration with a peer. Learning was measured at pretest, individual preparation, collaboration, and posttest. Two conditions were compared: generative preparation and nongenerative preparation. With no differences in…