3D-printing technology has become increasingly important in recent years, offering many possibilities for mathematics teaching and learning. From our point of view, the field of calculus seems to be particularly suitable for the use of 3D-printing. Using the example of 3D-printed graphs of functions, the use of this technology in calculus is…

In the sciences, energy is an important idea to get insight into phenomena, as energy can help to reveal hidden systems and processes. However, students commonly struggle to use energy ideas to interpret and explain phenomena. To support students in using energy ideas to interpret and explain phenomena, a range of different graphical…

Sinusoidal functions are difficult for students: Periodicity is a new concept, transferring information from the unit circle can be confusing, and computations with multiple solutions can be overwhelming. Many struggle with both the unfamiliar "waviness" of sinusoidal graphs and their transformations (translations, dilations, and…

The recent works of oscillators are mainly focused on underdamped oscillation. Therefore, the writer proposes an experimental apparatus to demonstrate all types of damped harmonic oscillation. The apparatus utilizes an Arduino for data acquisition and an Excel spreadsheet for data analysis. By using this apparatus, the type of damped harmonic…

The aim of this study is to determine the scope validity of the graph drawing interpretation skill checklist that can be used in social studies teaching. The literature review was made while the draft skill checklist was prepared at first. There have generally been some graph drawing and interpretation skill checklist studies at secondary and…

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…

The authors of this article describe three student-driven learning modules developed from their respective College Fed Challenge courses. These activities are ready-to-apply in a wide range of courses to facilitate adoption without a large time commitment. In the "Pick a Policy Maker" module, students gain an understanding of the…

This study aims to determine the effectiveness of Fry readability-based digital storybooks on reading comprehension skills among elementary school students. The method used in this study was an experimental research design with a pretest-posttest control group design to measure students' reading comprehension skills. The sample of this study was…

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…