The aim of the current study was to investigate the statistical literacy of seventh grade students regarding the concepts of average and variation on bar and line graphs presented in alternative real-life contexts. To this end, the statistical literacy levels of the seventh grade students were initially determined. Subsequently, definitions,…

This paper presents a novel method for introductory teaching of the sample linear correlation coefficient from a bivariate dataset. Linear correlation is typically included in curriculums at the secondary and introductory tertiary levels of education. The method discussed herein can be used by educators in elementary courses at either of these…

Distance learning in physics is still facing challenges, mainly due to the difficult access to a laboratory for practical work. Practical work is an essential part of the physics classroom because it allows students to interact with authentic physics phenomena and develop their scientific abilities. In this paper, we propose alternative…

This study aims to showcase an experiment for introductory physics students that quantitatively describes the relationship between gas pressure, volume, and temperature. For this purpose, an Arduino Uno Microcontroller and BMP180 pressure sensor are used. The BMP180 can also measure temperature, so another temperature sensor is not needed.…

The aim of this research was to explore the mathematical connections that pre-university students make when they sketch the graph of a derivative function and an antiderivative function. Also, we tried to explain the origin of the mathematical connections identified. We assume mathematical connections as a cognitive process through which a person…

Analysis of data from single-case intervention studies commonly involves visual analysis. Previous research indicates that visual analysis may suffer from low reliability and unpromising error rates. We investigated the reliability and validity of visual analysis and explored to what extent data trends affect judgments. We administered a…

Microsoft Excel is ubiquitous, cost-effective, and can be used to create publication-quality single-case design graphs. We systematically replicated the GraphPad Prism video tutorial by Mitteer et al. (2018) to teach 24 master's students to create multiple-baseline graphs using Excel 2016. Students' mean accuracy on the multiple-baseline graph was…

We investigate how students make sense of irrational exponents. The data comprise 32 interviews with university students, which revolved around a task designed to examine students' sensemaking processes involved in predicting and subsequently interpreting the shape of the graph of f(x)=x[superscript square root of 2]. The task design and data…

We present a simple experiment that allows us to demonstrate graphically that the intensity of sound waves is proportional to the square of their amplitude, a result that is theoretically analyzed in any introductory wave course but rarely demonstrated empirically. To achieve our goal, we use an audio signal generator that, when connected to a…

This study aims to describe how preservice secondary mathematics teachers (PSMTs) reason about different function representations. The study focuses on two PSMTs' reasonings across static and dynamic representations of functions. Sfard's (2008) Theory of Commognition guided our analysis. Findings indicate that while static representations restrict…

In science in general and in the context of single-case experimental designs, replication of the effects of the intervention within and/or across participants or experiments is crucial for establishing causality and for assessing the generality of the intervention effect. Specific developments and proposals for assessing whether an effect has been…

Many studies use instructional designs that include two or more artifacts (digital manipulatives, tables, graphs) to support students' development of reasoning about covarying quantities. While students' forms of covariational reasoning and the designs are often the focus of these studies, the way students' interactions and transitions between…

The Bicycle Drawing Test (BDT) serves to identify poor memory, psychomotor deficiencies, and cognitive deficiencies. This study examined 206 students' performance on the BDT measure, text-based and graph-based questions in undergraduate-level macroeconomics courses. Correlational analyses suggest that the drawing task component of BDT is…

A growing emphasis on computational thinking worldwide necessitates student proficiency in creating algorithms. Focusing on the use of counterexamples for developing student-invented algorithms, I reanalyze two pieces of data from previously published research, pertaining to two different cases of students' algorithmatizing activity. In both…

In this exploratory work, the discourse of first-year computer engineering undergraduate students of graph theory was analyzed with the aim of improving the teaching of this branch of mathematics. The theoretical framework used is the theory of commognition, specifically, we focus on commognitive conflicts because they are learning opportunities…