GeoGebra is a dynamic software that is frequently used and of increasing importance in mathematics teaching processes in our digital age. Accordingly, in this study a new perspective has been brought to the proofs of the "two square difference identity" expressed for the square, which is a flat polygon, made with different approaches.…

When learning about scientific phenomena, students are expected to "mechanistically" explain how underlying interactions produce the observable phenomenon and "conceptually" connect the observed phenomenon to canonical scientific knowledge. This paper investigates how the integration of the complementary processes of designing…

Background/purpose: This study addresses the lack of statistical thinking skills among Applied College students, a key requirement for professional success. Traditional statistics education focuses on procedural and computational methods rather than conceptual understanding, leading to misconceptions and difficulties in data organization,…

The ability to think critically is an important and valuable skill that students should develop to successfully solve problems. The process of writing requires critical thinking (CT), and the subsequent piece of text can be viewed as a product of CT. One of the strategies educators may use to develop CT is modelling. Given ChatGPT's ability to…

The problem-based learning model via cloud technology (PBL model via cloud technology) is a research tool fabricated with the concepts of problem-based learning management, in which students are stimulated and enabled to foresee the problems that will arise. Also, in this learning style, teachers will define the problem situations and encourage…

Emergent graphical shape thinking (EGST) entails conceiving a graph as being dynamically generated via the trace of a moving point constrained by two changing quantities. As such, Paoletti et al. (2023) argue that meanings for quantities within a situation and meanings for graphical representations must be connected, or bridged, to engage in EGST.…

The purpose of this study is to determine the spatial thinking ability of high school students using indicators from Sharpe-Huynh model. These indicators include analysis, spatial interaction, scale, representation, comprehensiveness, and application. Furthermore, this study examined the effect of Earthcomm learning on student's spatial thinking…

This paper focuses on two third-grade students' work on the same statistical question whereby one acts with analogue material and the other with TinkerPlots™. The aim of the research was to find out whether different material influences the actions and, thus, possibly the mathematical interpretations of the learners. To investigate this research…

This research examines the impact of gamification on the development of critical thinking skills to counter misinformation, focusing specifically on students' roles as developers of educational software. Involving 107 university students, this study employs an experimental pretest-posttest methodology. An educational Escape Room was implemented,…

In this article we analyze how students reason about linear combinations across multiple digital environments. We present the work of three groups of undergraduate students in the Southeast United States (US) who were considered ready to take linear algebra. The students played the game "Vector Unknown," reflected upon aspects of their…

This study seeks to deepen the understanding of the direct and indirect effects of human-computer dialogic interaction programming activities, facilitated by ChatGPT, on student engagement. Data were collected from 109 Chinese high school students who engaged in programming tasks using either ChatGPT-driven dialogic interaction or traditional pair…

This book focuses on the potential contributions of Artificial Intelligence (AI) for enhancing mathematics education. It includes rationales for an AI-oriented pedagogical model, such as interdisciplinarity and even sensitivity to crucial world issues, such as climate change. The chapters in this book highlight what the new age of mathematics…

ChatGPT, as an example of generative artificial intelligence, possesses high-level conversational and problem-solving capabilities supported by powerful computational models and big data. However, the powerful performance of ChatGPT might enhance learner dependency. Although it has not yet been confirmed, many teachers and scholars are also…

This article explores the features of students' reasoning and sense-making when computer programming and mathematics interact, specifically, using the exterior angle concept to make different regular polygons with Scratch as a programming tool. At the end of the 2019 spring term in a public elementary school, data were obtained from a pretest, a…

The purpose of this study was to evaluate high school students' performance in analyzing complex arguments with the support of an off-the-shelf argument mapping software, Rationale™, which provides diagramming tools with guided prompts. This study attempts to: (1) evaluate the quality of student's argument maps in terms of structural…