The concept of derivative is used in many areas including applied problems and requiring mathematical modelling in different disciplines. One of the most important approaches for teaching the derivative is to support students in visualizing the concept. Also, it is necessary to shift researchers and teachers' focuses to students' dynamic mental…

This study focuses on connections between linear functions and their graphs that were made by tertiary remedial algebra students. In particular, we describe students' work on a Task designed to examine the connection between points on a graph and the equation of a line. The data consist of 63 responses to a written questionnaire and individual…

For misguided reasons, social scientists have long been reluctant to use gain scores for estimating causal effects. This article develops graphical models and graph-based arguments to show that gain score methods are a viable strategy for identifying causal treatment effects in observational studies. The proposed graphical models reveal that gain…

Research shows that though some students can easily find the correct solutions to the problem(s) at hand, the algorithms that these students create are not always ones that would, when implemented, produce the correct solution(s). Towards shedding light on this phenomenon, the present study explicates a mechanism--accounting for features of the…

Professionals working with individuals at risk for, or with, disabilities are required by federal legislation to select, implement, and formatively and summatively evaluate the effectiveness of evidence-based practices in typical settings. Although multiple resources related to graph construction and visual analysis are available in the…

Single-case research designs (SCRDs) are rigorous methods used to investigate the effects of interventions on socially important outcomes. A hallmark of SCRDs is repeated measurement of observable behavior presented in time-series graphs. The construction of time-series graphs can inflate Type I or Type II errors made via visual analysis. In the…

In this paper, we describe a framework for characterizing students' graphical reasoning, focusing on providing an empirically-based list of students' graphical resources. The graphical forms framework builds on the knowledge-in-pieces perspective of cognitive structure to describe the intuitive ideas, called "graphical forms", that are…

This article recounts the life of mathematician Leonhard Euler and discusses the use of Graph Theory in student learning.

Incorporating technology into educational processes is increasingly necessary to address the complexities of contemporary learning environments. This study investigates the impact of Augmented Reality (AR) on the academic performance of third-grade students in the areas of graphs and geometry. A quasi-experimental design was employed, comparing a…

When teaching the Civil Rights Movement in elementary classrooms, heroic figures such as Rosa Parks and Martin Luther King Jr. tend to dominate the curricular landscape. While it is essential for students to learn about their contributions and struggles, it is equally important to frame the broader injustices they were combating. In this article,…

Aim/Purpose: This study explored the limited research on the challenges and opportunities faced by students when creating function art using GeoGebra, addressing a gap in the literature that focuses on student outputs and engagement. It addressed the need to understand how students engage with function art and the difficulties they encounter in…

The widespread occurrence of flooding and the fact that both precipitation data and river flow data are readily available for many locations provides an excellent opportunity for educators to bring relevant professionally collected data into their teaching. By connecting those data to the use of models, students can collect, interpret, and…

Learning interaction activities are the key part of tracking and evaluating learning behaviors, that plays an important role in data-driven autonomous learning and optimized learning in interactive learning environments. In this study, a big data set of learning behaviors with multiple learning periods is selected. According to the instance…

Graphical representations appear everywhere in modern society. Their ubiquity has, in part, justified graph literacy as a core competency in education. Graph literacy - the capacity to read and interpret graphs - consists of understanding features, identifying variables, interpreting trends, and forming real-world connections. Experts and novices…

"Using Sentiment Analysis to Ease Students toward or around Macroanalysis" introduces teachers to the mathematical analytical method currently being promoted by Matthew Jockers which he calls macroanalysis. This method uses an algorithm called "R," originally designed by researchers in sociology. In many ways, macroanalysis…