Respondents' problem-solving behaviors comprise behaviors that represent complicated cognitive processes that are frequently systematically tied to one another. Biometric data, such as visual fixation counts (FCs), which are an important eye-tracking indicator, can be combined with other types of variables that reflect different aspects of…

A basic mental model (BMM--in German 'Grundvorstellung') of a mathematical concept is a content-related interpretation that gives meaning to this concept. This paper defines normative and individual BMMs and concretizes them using the integral as an example. Four BMMs are developed about the concept of definite integral, sometimes used in specific…

We demonstrate that the key components of cognitive architectures (declarative and procedural memory) and their key capabilities (learning, memory retrieval, probability judgment, and utility estimation) can be implemented as algebraic operations on vectors and tensors in a high-dimensional space using a distributional semantics model.…

This work provides a characterization of the learning of graph theory through the lens of the van Hiele model. For this purpose, we perform a theoretical analysis structured through the processes of reasoning that students activate when solving graph theory problems: recognition, use and formulation of definitions, classification, and proof. We…

The present study examines secondary school students' geometrical figure apprehension based on Duval's theoretical framework regarding perceptual, operative, and discursive apprehension. The aim is to explore the cognitive structure of the geometrical figure apprehension dimensions (operative, discursive, and perceptual) in three grades of…

People use commonsense science knowledge to flexibly explain, predict, and manipulate the world around them, yet we lack computational models of how this commonsense science knowledge is represented, acquired, utilized, and revised. This is an important challenge for cognitive science: Building higher order computational models in this area will…

The aim of the study was to investigate the effect of the Common Knowledge Construction Model (CKCM) on 10th-grade students' conceptual understanding of the buoyancy and density of liquids topic. Within a pre-experimental (one group pre-test/post-test) research design, this study was conducted with 22 of 10th-grade students. To collect data, the…

Mental models and cognitive maps have been used in college business education as an instructional design technique, assessment tool, and learning strategy. The authors propose a novel use of mental models and cognitive maps as a device to elicit students' challenges in learning the domain knowledge of a course. Such usage is illustrated in a…

Several attempts have been made previously to provide a biological grounding for cognitive architectures by relating their components to the computations of specific brain circuits. Often, the architecture's action selection system is identified with the basal ganglia. However, this identification overlooks one of the most important features of…

In this paper, we share results from a classroom intervention that used a conceptual representation to support reasoning about ecosystems. Engaging students in modeling allows them to make their ideas visible while being malleable and available for discussion, which enables students to make meaning out of systems. Further, the…

Light is used ubiquitously across science and engineering to explore, characterise, understand matter, and catalyse processes. Relative to its utility in science and engineering, very little research has been conducted on how students develop an understanding of light-matter interactions, especially at the quantum level, which is necessary to…

We report our qualitative study of twenty-four students enrolled in the second-semester of a second-year undergraduate (sophomore-level) organic chemistry course, Organic Two. We asked the research participants to propose the product and electron-pushing mechanism of elementary mechanistic steps in the absence and presence of the corresponding…

This paper focuses on revealing and modeling the cognitive constructs of pre-service teachers regarding the characteristics of a good IT academician. The research was carried out via the exploratory sequential design with the participation of 42 volunteer pre-service teachers enrolled in the Department of Computer and Instructional Technology. The…

A pivotal information about the structure of students' comprehension underlying from which the knowledge is gained can be identified through the mental model. This study aimed at describing the six levels of students' mental model in comprehending the concept of the integer. The subject of this research was 40 students consisting of 20 students…

Research shows that well before children can verbalize their thoughts, they often create internal visual models of what scientists are and what they do (Farland-Smith 2012). Therefore, discovering, understanding and recording a student's own stereotypical perceptions are crucial to science instructors, as it is believed that perceptions may affect…