Using multiple representations (MR) such as graphs, symbols, diagrams, and text, is central to teaching and learning in physics classrooms. While different studies have provided evidence of the positive impact of the use of MR on physics learning, a comprehensive overview of existing literature on the use of MR in physics education, especially at…

The purpose of this study was to explore how students with high- and low-prior-knowledge employed multiple representations in argumentation evaluation and generation tasks. The argumentation performance and eye-movement behaviors of 96 college students in these tasks were investigated. The number of participants who proposed complex argumentation…

The aim of this study is to examine the graphic reading and interpretation skills of teacher candidates with problem situations prepared in the context of the COVID-19 pandemic, which is a socio-scientific situation. The study is conducted with case study of qualitative research methods. The participants of the study consisted of 52 elementary…

Item response theory (IRT) is a statistical paradigm for developing educational tests and assessing students. IRT, however, currently lacks an established graphical method for examining model fit for the three-parameter logistic model, the most flexible and popular IRT model in educational testing. A method is presented here to do this. The graph,…

Teachers should possess a robust knowledge of graph interpretation in a world that requires increasingly scientific citizens. This study aimed to investigate teachers' knowledge of interpreting a context-based line graph, by understanding the types of difficulties teachers have in interpreting such graphs. The study also sought to determine…

This article analyzes an episode of classroom mathematics activity mediated by graphing technology from 3 different theoretical perspectives. An important line of research in the learning sciences focuses on graphs as "inscriptions", foregrounding learners' interactions with and around the material properties of graphical displays.…

Children's drawings have been analysed in research for several decades, frequently using a narrative style. This article introduces an innovative methodological tool to analyse young children's drawings. Taking a social semiotics perspective, the aim of this tool is not to replace narrative analysis but to complement it. The study was conducted…

Response to Intervention (RTI) is a general education initiative intended to identify struggling readers and provide them with early, targeted intervention. The RTI model--which emphasized research-based instruction presented with fidelity along with the use of informed student data--was adopted by many school districts not only to provide…

In this study, we investigated one student as she engaged in the exploration of a graph theory problem, the Graceful Tree Conjecture. The study took place in a classroom in the Midwestern United States which contained eighteen students. We report on a descriptive case study of one student, Heidi, as she works her way through different classes of…

Systems of equations are an important topic in school mathematics. However, there is limited research examining productive ways of supporting students' understandings of systems of equations. In this paper, we first present a conceptual analysis of potential ways students may leverage their quantitative and covariational reasoning to graph systems…

This study investigated preservice secondary mathematics teachers' difficulties with and understanding of graphs of two-variable inequalities with the lens of the APOS theory. The analysis showed that most teachers understood inequality graphs as actions, at best, and used informal rules to construct graphs. They also had difficulty justifying…

We describe a combination of methods for assessing the effectiveness of complex interventions, especially where substantial heterogeneity with regard to the population, intervention, comparison, outcomes, and study design of interest is expected. We applied these methods in a recent systematic review of the effectiveness of reinforced home-based…

Any teacher of physics is likely to consider super-curricular reading as an important strategy for successful students. However, there are many more ways to extend a student's interest in a subject than reading books, and undirected reading (such as providing a long out of date reading list) is not likely to be as helpful as targeted or directed…

Traditional school laboratory exercises on a system of moving objects connected by strings involve deriving expressions for the system acceleration, a = (?F)/m, and sketching a graph of acceleration vs. force. While being in the form of rational functions, these expressions present great opportunities for broadening the scope of the analysis by…

Successful mathematical problem-solving relies on choices about how best to represent and solve problems. In this article, a range of methods and strategies are presented for solving a single mathematical problem, including novel methods posed by in-service teachers at one Australian university. The variety of problem-solving strategies rely on…