The ability to accurately interpret mathematical functions is crucial for understanding complex physical and mathematical concepts. Differentiating isothermal from adiabatic change of state in p-V diagrams respectively graphs of indirectly proportional functions from graphs of power functions in x-y diagrams presents a common challenge for…

In the boxplot, the box always represents -- regardless of its area -- the middle half of the data and thus a measure of variability (interquartile range). However, when students first learn about boxplots, they are usual already familiar with other forms of statistical representations (e.g., bar or circle graphs) in which a larger area represents…

Functions and graphs are fundamental mathematical concepts in mathematics and are vital to helping students comprehend the relationship between variables and other advanced topics in higher-level mathematics. Research has shown that students continually possess misconceptions and inaccurate thinking about functions and function representations.…

This study focuses on a case study that highlights the mathematical discourse developed by two pairs of students when dealing with a specific transition task, i.e., an activity leading to the construction of a graph of a function based on the exploration of another representation of the same function. Such a task was designed to work on the…

This study focused on developing physics test instruments for senior high school students on the topics of temperature and heat. The study aimed to determine (i) the quality of the test instrument content, (ii) the feasibility of the test instrument, and (iii) students' graphic representation abilities on "Temperature and Heat" topics.…

This case study examines how material resistance (limitations posed by the physical world) and graph interpretation intersected during a high school biology investigation using digital sensors. We use an extended episode from a small group to illustrate how, in an inquiry-based unit, measuring near the resolution limit of a sensor caused scaling…

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…

Sound waves are one of the important topics studied in physics. However, students' graph representation is still low, leading to their low concept understanding of physics learning. Therefore, it is necessary to optimize the learning process to improve students' graph representation by providing a valid and reliable graph representation test…

The purpose of this study is to identify and assess the difficulties experienced by the 11th grade students regarding generating, interpreting and comparing scatter plots. The study was carried out with 40 students-enrolled in 11th grade. The difficulties of students were identified through an achievement test on generating, interpreting, and…

This article presents a task providing college students opportunities to build on their high school knowledge of trigonometry to explore parametric equations and inverse trigonometric relationships within a contextual learning ladder problem.

This study surveyed 183 college and senior high school students' graph-interpretation competence in scientific and daily contexts. Specifically, whether students' graph interpretation in scientific and daily contexts differed across educational levels was investigated. Furthermore, the questions of whether students' graph interpretation competence…

Several studies compared three different types of questions (conceptual, algorithmic, and graphical) across various topics, however, few focused specifically on gifted students. This study addressed this gap. The aim of the study, hence, was to determine whether there were notable differences in gifted students' performance in the three types of…

Learning activities related to students' real-life experiences may create meaningful learning. Integrating traditional games into the physics classroom can reconstruct local knowledge into scientific knowledge. The use of technology can affect student learning achievement. One of the technologies currently attracting attention is Augmented reality…

Teaching Computer Science concepts, such as graph theory, is often challenging. This study proposes an approach for teaching graph theory using an unplugged game ("GraphGame") developed through a participatory design process that includes usage observation, clarifying meaning, prototyping, and implementation. This process was carried out…

Several researchers have promoted reimagining functions and graphs more quantitatively. One part of this research has examined graphing "conventions" that can at times conflict with quantitative reasoning about graphs. In this theoretical paper, we build on this work by considering a widespread convention in mathematics teaching: putting…