This work deals with the role of social practice in the construction of models related to advanced mathematical knowledge; specifically, with the way an individual uses the notion of "variation" in different phenomena while predictive thinking is the underlying principle in the mathematical process. The mathematical modelling of…

In this article, we examine how a sequence of modeling activities supported the development of students' interpretations and reasoning about phenomena with negative average rates of change in different physical phenomena. Research has shown that creating and interpreting models of changing physical phenomena is difficult, even for university level…

Curiosity is one of the 21st century skills and is especially paramount in the digital age. However, curiosity is multifaceted and can be expressed in many ways. Furthermore, assessment of curiosity is often based on self-report or subjective observations. We present work in progress for the development of a digital quantitative assessment game…

Narrative production is often used to measure a child's communicative progress. Typical methods include assessment of quality or content. We propose a new way to describe narrative performance with a simple graph that depicts recall accuracy in relation to the sequence of story details. Children with impaired hearing (9-12 years-old) watched a…

The current theories suggest the fundamental role of semantic memory in creativity, mediating bottom-up (divergent thinking) and top-down (fluid intelligence) cognitive processes. However, the relationship between creativity, intelligence, and the organization of the semantic memory remains poorly-characterized in children. We investigated the…

Although numerous studies have investigated how technology affects academic achievement, very few have focused on the purpose of the use of technology in mathematics education. This current study examines how student teachers (STs) benefit from GeoGebra as one of the Dynamic Geometry Software (DGS) while solving continuity problems. In order to…

This study aimed to explore the effects of an instructional intervention in which GeoGebra and the think-pair-share method were used to teach the relationship between the graph of a parametric curve and the derivatives of its component functions. The participants in the study were 19 prospective mathematics teachers. To assess the understanding of…

This article assesses how people reason with categories whose features are related in causal cycles. Whereas models based on causal graphical models (CGMs) have enjoyed success modeling category-based judgments as well as a number of other cognitive phenomena, CGMs are only able to represent causal structures that are acyclic. A number of new…

The current study evaluated the degree to which novice visual analysts could discern trends in simulated time-series data across differing levels of variability and extreme values. Forty-five novice visual analysts were trained in general principles of visual analysis. One group received brief training on how to identify and omit extreme values.…

The authors asked a group of students during a classroom research study to analyze data sets containing different amounts of noise. The authors use the word "noise" to refer to statistical variability. The four students in the group were finishing seventh grade and participating in summer mathematics instruction. The authors carefully…

The textbook is often a primary resource for teachers in elementary content areas, and it is often used to the exclusion of other resources. Research indicates that students may not have sufficient exposure to elements of nonfiction texts in order to be successful when encountering them in the content area. For many years, there has been little…

With the spread of learning analytics (LA) dashboards in K-12 schools, educators are increasingly expected to make sense of data to inform instruction. However, numerous features of school settings, such as specialized vantage points of educators, may lead to different ways of looking at data. This observation motivates the need to carefully…

Integrating sophisticated graphical analysis skills as they learn science is essential for K-12 students and emphasized in current standards. In this study, we iteratively designed a Graphing Integration Inventory (GII) over a three-year period, while also supporting students to develop their capabilities to use graphs to learn science content in…

Too often, high school algebra students encounter topics in a discrete, disconnected fashion. In the authors' first years of teaching, they found students to be adept at solving problems they were currently studying; for instance, they could solve quadratics during a quadratics unit. Too often, however, students struggled with that same content…

An established research base exists for using video modeling to teach students with severe disabilities. However, the application of this strategy for teaching academic skills to students with a learning disability is less known, particularly in secondary mathematics. Video modeling provides a resource for supplementary instruction using…