Single-case research design is a useful methodology to investigate counseling treatment effects through a time-series graph. A systematic review of 42 counseling journals was conducted, yielding 50 studies, including 272 graphs. Most graphs did not meet recommended guidelines. How graphs impact visual analysis and suggestions to enhance…

Intelligent technology plays a pivotal role in revolutionizing learning assessments, overcoming the constraints of traditional assessment methods and driving educational innovation. Knowledge tracing (KT) emerges as a critical component for assessing students' learning states and forecasting their future performance. However, existing graph-based…

This study explores the potential to enhance the performance of convolutional neural networks (CNNs) for automated scoring of kinematic graph answers through data augmentation using Deep Convolutional Generative Adversarial Networks (DCGANs). By developing and fine-tuning a DCGAN model to generate high-quality graph images, we explored its…

Knowledge tracing (KT) plays a key role in adaptive learning, yet traditional recurrent neural network-based methods often struggle with sparse data and overlook relationships between knowledge points. To address these limitations, this paper proposes a novel knowledge tracing model (KGS-KT) that integrates knowledge graphs, graph convolutional…

This study addressed an issue relevant to information and research literacy: how students cope with the challenges of reading a one-sided informational text that is combined with ambiguous graphical information. The topic discussed in the text was the impact of digitalization on students' reading comprehension, and 120 university students were…

Extracting and formally representing the knowledge embedded in textbooks, such as the concepts explained and the relations between them, can support the provision of advanced knowledge-based services for learning environments and digital libraries. In this paper, we consider a specific type of relation in textbooks referred to as…

The aim of this paper is to explore the use of function graphs to model a given picture of the Golden Gate Bridge, an iconic architectural structure located in San Francisco. This illustration is sourced from the guide on drawing the Golden Gate Bridge ("How to Draw the Golden Gate Bridge", n.d.). We use the digital graphing calculator…

Item difficulty and dimensionality often correlate, implying that unidimensional IRT approximations to multidimensional data (i.e., reference composites) can take a curvilinear form in the multidimensional space. Although this issue has been previously discussed in the context of vertical scaling applications, we illustrate how such a phenomenon…

Visual analysis is the primary methodology used to determine treatment effects from graphed single-case design data. Previous studies have demonstrated mixed findings related to interrater agreement between both expert and novice visual analysts, which represents a critical limitation of visual analysis and supports calls for also presenting…

School-based citizen science (SBCS) provides opportunities for teachers to purposefully integrate mathematics and science content and practices throughout the year. With SBCS projects, students have countless opportunities to apply their mathematics skills within the context of science data collection and sense making. This article details how a…

Research into didactics of calculus has maintained a long-standing interest in students' grasp of the relations between definite integrals and areas. This study comes to contribute to this line of research by unpacking how students use the concept of area to find definite integrals. Specifically, we focus on mathematical situations where the…

One challenging issue in improving the teaching and learning methods in MOOCs is to construct potential knowledge graphs from massive learning resources. Therefore, this study proposes knowledge graphs driving online learning behaviour prediction and multi-learning task recommendation in MOOCs. Based on the knowledge graphs supported by…

Engaging in the construction and interpretation of graphs is a complex process involving concerted activation of context-specific cognitive resources. As students engage in this process, they apply fine-grained, intuitive ideas to graphical patterns: graphical forms. Using data involving pairs of students constructing and interpreting graphs, we…

Functions are an essential concept in mathematics. The studies that have examined functions in advanced contexts have primarily focused on students' reasoning about specific types of functions (such as binary operations and isomorphisms) but not on the core characteristics of well-definedness and everywhere-definedness. Here, we report on a study…

The aim of this study is to investigate how students graphically represent qualitative and quantitative aspects of co-varying quantities in an embodied digital learning environment that provides feedback in the form of an animation showing what kind of motion their graph represents and how this feedback helped them to overcome typical graphing…