Teaching to support students' sense-making is challenging. It requires continuous, context-dependent decision-making about which student ideas to pursue, when, how, and why. This paper presents a single case study of an experienced teacher, Nadine, as an illustrative case in order to provide a rich description of this teacher's decisional…

The study outlines the early-stage development of a free-response General Relativity Concept Inventory (GRCI), an educational instrument designed to test for conceptual understanding of General Relativity. Data were collected for the study by having 26 participants from General Relativity courses work through the questions on the GRCI. Interviews…

The phenomenon of misconception and poor conceptual understanding is a problem that often occurs in science learning, not least in physics learning. Learning models that specifically aim to improve conceptual understanding and remediate misconceptions are not widely available. This study aims to determine the effect of the CCBL model in improving…

Creative idea generation plays an important role in design process. Our study aimed to use physiological signals to evaluate the effect of music on idea generation in individual and group conditions. Thirty graduate students with design experience were recruited to generate ideas for specific design topics and sketch these ideas. The experiment…

Information can change: science advances, newspapers retract claims, and reccomendations shift. Successfully navigating the world requires updating and changing beliefs, a process that is sensitive to a person's motivation to change their beliefs as well as the credibility of the source providing the new information. Here, we report three studies…

Understanding and supporting pre-service teachers' creativity in collaborative instructional design has gained increasing attention. To design novel and effective learning experiences or activities for students, they need to build empathy with students, that is, understanding students' learning needs. This study aimed to (1) explore the patterns…

How to influence and assess whether students engage in conceptual thinking are longstanding methodological problems in mathematics education. Recently, eye-tracking technology has fueled a discussion on whether eye movement analysis can support valid inferences about mathematical thinking. This study investigates whether eye movement analysis can…

We offer a new angle to explain the comprehension of mathematical infinity. We use Action-Process-Object-Schema (APOS) theory to explore the construction of different aspects of the cognitive Object related to this notion. We focus our attention on different ways of interacting with infinity, and how to act on infinite entities. Our aim is to shed…

How does conceptual structure of external representations contribute to learning? This investigation considered the influence of generative concept sorting and of external structure information moderated by perceived difficulty. In Study 1, undergraduate students completed a perceived difficulty survey and comprehension pretest, then a sorting…

It is important for students to develop a relational understanding of the equal sign, but students often have simultaneous operational and relational conceptions (i.e., SOR conceptions). This case study carefully explored how a student's conception of the equal sign changed during a classroom teaching experiment and analyzed the possibilities and…

Although we cannot see or touch time, across many cultures, we use spatial representations to think about this abstract concept. Spatial representations of time are thought to support temporal concepts that might otherwise be difficult to represent and reason about, such as the temporal component of episodic memory. One common form of spatially…

This study sought to understand how students activate number sense in determining the position of fractions on a number line and identify how the natural number bias and number sense influences students' thinking processes. The study utilized the Cognitive Task Analysis (CTA), involving four fifth-grade elementary students as the research…

In this paper, we report the analysis of thought processes used by Pre-Service Teachers' (PSTs') through clinical interviews as they solved an algebra task involving a linear pattern. The PST's were asked about a mathematical model they had constructed to describe a pattern problem. Our analysis suggests that conflict factors arise due to…

Background and Context: Multiple studies report that experienced instructors lack consensus on the difficulty of programming tasks for novices. However, adequately gauging task difficulty is needed for alignment: to select and structure tasks in order to assess what students can and cannot do. Objective: The aim of this study was to examine…

While rigor is often used as a term in educational practice, its meaning can be elusive, making it difficult to apply to professional learning for educators. Russell Carlock seeks to define the concept of rigor as it pertains to theoretical frameworks that have been connected to improvement in student learning outcomes and to provide educators…