This paper extends prior work establishing an operationalized framework of mathematical sense making (MSM) in physics. The framework differentiates between the object being understood (either physical or mathematical) and various tools (physical or mathematical) used to mediate the sense-making process. This results in four modes of MSM that can…

Multiple initiatives contend that all students should master computational thinking, including the "Next Generation Science Standards, the K-12 Framework for Computational Thinking," and Code.org. In turn, many physics teachers have begun to explore a variety of approaches to integrating computational modeling through programming. These…

Prior to instruction, students often possess a common-sense view of motion, which is inconsistent with Newtonian physics. Effective physics lessons therefore involve conceptual change. To provide a theoretical explanation for concepts and how they change, the triangulation model brings together key attributes of prototypes, exemplars, theories,…

This study analyzes the analogies used in the teaching of introductory quantum theory concepts. Over twelve weeks, the researcher observed each class for a semester and conducted interviews with the students and the instructor. In the interviews, students answered questions about quantum theory concepts, which the instructor had taught them using…

Using a conventional notation for representing forces on diagrams, students were presented with questions on the interaction between two objects. The results show that complete understanding of Newton's Third Law of Motion is quite rare, and that some problems relate to misunderstanding which force acts on each body. The use of the terms…

This investigation is focused on possible links between the development of critical attitude and conceptual understanding. We conducted a fine grained analysis of five student teachers' critical and conceptual development during a one hour and a half interaction with an expert. This investigation completes a series of three previous studies…

For many years the need to educate and support our teachers to implement science and mathematics education has been ongoing throughout the world (National Academies of Sciences, Engineering, and Medicine, 2019; Mundry et al., 2009). In more recent years, this call has extended to include teaching through integrated science, technology,…

For many years the need to educate and support our teachers to implement science and mathematics education has been ongoing throughout the world (National Academies of Sciences, Engineering, and Medicine, 2019; Mundry et al., 2009). In more recent years, this call has extended to include teaching through integrated science, technology,…

This paper is the first part of a multiphase study examining students' mental models about the quantization of physical observables--light, energy, and angular momentum. Thirty-one second-year physics and physics education college students who were taking a modern physics course participated in the study. The qualitative analysis of data revealed…

This research documents the aims and the impact of a teaching experiment on how the absorption of light depends on the thickness of the absorbing medium. This teaching experiment is more specifically characterized as bringing to bear a "concept-driven interactive pathway". It is designed to make students analyse the absorption of light…

One aim of school science instruction is to help students become adaptive problem solvers. Though successful at structuring novice problem solving, step-by-step problem-solving frameworks may also constrain students' thinking. This study utilises a paradigm established by Heckler [(2010). Some consequences of prompting novice physics students to…

Mechanistic reasoning is an epistemic practice central within science, technology, engineering, and mathematics disciplines. Although there has been some work on mechanistic reasoning in the research literature and standards documents, much of this work targets domain-general characterizations of mechanistic reasoning; this study provides…

On the basis of responses to written questions administered to more than one thousand introductory chemistry students, we claim that students often rotely apply memorized combustion rules instead of reasoning based on explanatory models for what happens at the molecular level during chemical reactions. In particular, many students argue that…

The formalism of quantum mechanics includes a rich collection of representations for describing quantum systems, including functions, graphs, matrices, histograms of probabilities, and Dirac notation. The varied features of these representations affect how computations are performed. For example, identifying probabilities of measurement outcomes…

This research documents the impact of a teaching interview aimed at developing a critical attitude in students, and focused on a particular topic: radiocarbon dating. This teaching interview is designed to observe students' reaction to limited written explanations of the phenomenon under study, and their possible frustration or intellectual…