Background/purpose: This study aims to improve students' mathematical critical-numeracy thinking skills by applying the Problem-Based Learning-Autograph model. Materials/methods: This study used a mixed method with a sequential explanatory strategy, and the research design is a one-group pretest-posttest design. The population included students…

Automatic short answer grading is an important research direction in the exploration of how to use artificial intelligence (AI)-based tools to improve education. Current state-of-the-art approaches use neural language models to create vectorized representations of students responses, followed by classifiers to predict the score. However, these…

Multiple representations cultivate students' mathematical mindset. However, research results have reported that students do not benefit from these tools due to lack of representational fluency. This study was designed to determine the impact of GeoGebra assisted multiple representations approach on students' representation translation performance…

Many studies show the effectiveness of using the Flipped Learning model to increase students' understanding. However, there are scant research results that integrate PowerPoint in Flipped Learning to improve students' understanding. The present study aimed to describe the effectiveness of the PowerPoint-Based Flipped Learning model in increasing…

Generalization is considered to be an essential part of mathematical reasoning and proving, and it has many definitions in mathematics education research. Despite its centrality, teachers often have difficulty identifying and responding to generalization in students' work. In this study, we focus on preservice teacher's (PTs) ability to describe…

This study investigates the use of an assistive humanoid robot for teaching to and learning among young children in an informal learning environment. The robot is called NAO and built by SoftBank Robotics. NAO was used to teach a mathematic concept of measurement to young children. They engaged with the robot through the teaching and learning of…

Flipped classroom is one of the teaching models that swaps students' learning space between learning in and before class. GeoGebra software is a dynamic math software that positively affects math teaching, especially geometry, and develops students' problem-solving abilities. The study was conducted to test the effect of combining flipped…

Proof, as a central and integral part of mathematics, is an essential component of mathematical education and is considered as the basic procedure for revealing the truth of mathematical propositions and for teaching productive reasoning as part of human civilization. Is there therefore room for conjectures in mathematics? In this paper after…

In the study, problem-solving educational software (ProSES) was developed to reduce the challenges and mistakes experienced by primary school third-grade students in mathematical problem solving and to provide scaffolding and hint support for teacher help for the students using mobile technologies. The study aimed to determine the impact of the…

The active processing theory of self-questioning instruction suggests that comprehension occurs when students generate questions during reading because it allows students to engage in deeper processing of the text as their attention is drawn to the content. Four secondary students with reading fluency and comprehension deficit were taught to…

Texts generated by artificial intelligence agents have been suggested as tools supporting students' learning. The present research analyses the language of texts generated by ChatGPT when solving mathematical problems related to the quadratic equation. We use the functional grammar theoretical framework that includes three meta-functions: the…

The paper argues that there is a need for new approaches to teaching proof with newly-available technology. It contributes to filling this need by opening a discussion on digital proof assistants, programs that allow one to do mathematics with the aid of a computer, construct proofs, and check their correctness. The paper starts by exploring such…

Argumentative and proving skills are considered key competencies in mathematics. Collaborative learning activities, by fostering students' production of conjectures and arguments, could contribute strongly to the development of these skills. In this paper, we present the design of a e-learning collaborative environment, whose goal is to promote in…

In this article special sequences involving the Butterfly theorem are defined. The Butterfly theorem states that if M is the midpoint of a chord PQ of a circle, then following some definite instructions, it is possible to get two other points X and Y on PQ, such that M is also the midpoint of the segment XY. The convergence investigation of those…

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…