Two well-regarded measurements for the expansion rate of the universe disagree, leaving cosmologists very puzzled. It may be that something large has been overlooked in our theory of the Big Bang. This discrepancy is called the Hubble tension and it has led to a very interesting conversation within the cosmology community.

Online networks, as digital images reflecting every aspects of real world especially under the current context of information technology, have become the most massive and opulent data source these days, where vast amount of information keeps being produced and transmitted. Their rapid expansion in scale and data volume draws wide attention and…

This study investigated novice mathematics teachers participating in an online teacher education course focused on covariational reasoning and understanding the behavior of functions. The analysis centered on documenting the emergence of participants' sociomathematical norms for engaging in online asynchronous discussions. In this paper, we…

The purpose of the study is to present the Beehive Interactive Learning Model (BILM) and to provide an example of its application in an undergraduate statistics course. The model is developed by the researcher, who is a professor in Educational Measurement and Evaluation area in Turkey with over 15 years of teaching experience. The model is based…

Using a joystick module, we followed the movement of a chaotic magnetic pendulum. The pendulum bar was attached to a joystick that served as a pivot point and biaxial angular motion sensor. Using an Arduino board, we could follow the position as a function of time along both the "x" and "y"-axis and draw a graph showing the…

Background/Objectives: There is no attempt to investigate the relationships between dependency and markedness even though the syntactic roles in language are decided by dependency relations and markers. The main objective of this study was to understand markedness beyond syntactical tables and propose a syntax graph with various syntax structures…

This study investigates how different visual representations of price facilitate learning in upper secondary social science education. Three lessons on pricing were given to four classes (n = 94 students). Two classes had lessons based on graphs and two on a causal loop diagram. Written pre- and post-test answers were analysed phenomenographically…

In this article, the authors share activities designed to help students make a connection between the complex roots of X[superscript 2] - 2x + 5 = 0 and the graph of y = X[superscript 2] - 2x + 5. We piloted these activities in three precalculus classes. The activities involved both concrete and technological representations of the mathematical…

During reading, students construct mental models of what they read. Summaries can be used to evaluate the latent knowledge structure of these mental models. We used indices from Student Mental Model Analyzer for Research and Teaching (SMART) to explore the potential of a global index, Graph Centrality (GC), as a measure to describe mental model…

This study examined reading tutors' interpretation of reading progress-monitoring graphs. A think-aloud procedure was used to evaluate tutors at two points in time, before and after a year of service as an AmeriCorps reading tutor. During their service, the reading tutors received extensive training and ongoing coaching. Descriptive results showed…

Emergent graphical shape thinking (Moore & Thompson, 2015) is a way of reasoning that is critical across numerous STEM fields. However, evidence indicates that the underlying component ideas for emergent thinking are underdeveloped in school mathematics education (e.g., Thompson & Carlson, 2017), and few studies directly report on…

This manuscript is meant to support secondary school teachers in their constant effort to find novel ways to engage students. Adolescents seem particularly stimulated by time-travelling scenarios, like the famous "wormhole billiard ball paradox" proposed by J. Polchinski in 1990, which are usually solved through closed time-like curves…

Reading comprehension is key to knowledge acquisition and to reinforcing memory for previous information. While reading, a mental representation is constructed in the reader's mind. The mental model comprises the words in the text, the relations between the words, and inferences linking to concepts in prior knowledge. The automated model of…

This dissertation explored questions related to teaching graphing skills to graduate students in behavior analysis. In Study 1, a survey of BCBAs asked which graphing conventions behavior analysts are most likely to revise. Only five conventions received high overall agreement and differences in revision ratings were associated with demographic…

Self-monitoring of attention (SMA) promotes increased learning opportunities and greater independence for students but has been sparsely researched with high-school students. This study evaluated the effects of a self-monitoring strategy that included the use of a smartphone with a vibrating app to signal high-school students with high-incidence…