To expand students' preparation for civic life, many teachers regularly engage students in discussions related to contentious issues. These discussions, however, typically restrict the range of communicative styles allowed and prioritizes disagreements between fixed and competing choices. Keith C. Barton & Li-Ching recommend that educators…

We contribute to the understanding of teacher noticing by focusing on what a teacher may notice in students' mathematical contributions in the context of problem-based lessons. Complementing approaches to research on noticing that focus on individual teachers' perceptual, cognitive, or situated skills, this conceptual article offers four…

Background: During school lessons participants can face challenging pedagogical problems such as when science and religion topics interact. Potential types of pedagogical problem and what participants can do in response are unclear. Research designs exploring pedagogical problem solving should investigate teachers' thinking processes and include…

The reasons for teaching programming in school are indeed manifold. Programming can for example be utilized as a vehicle for understanding and learning particular mathematical subject matter, or as a tool for solving mathematical problems. In this paper, however, we propose to utilize programming as a vehicle for developing mathematical…

Background: In light of the growing need to understand interactive learning effectivity and especially post-COVID 19 pandemic constraints, the key question is how to develop interactive videos in order to get the most effective results. Objectives: This research aims to explore the pedagogical benefits of interactive video with branching…

The current research implemented the Predict Observe and Explain (POE) instructional approach in mathematics and examined its efficacy in enhancing students' understanding of functions in terms of their ability to connect algebraic and graphical representations in optimization problems. Two grade 11 classes (40 students in total) and two grade 10…

With the aim of engaging more students in meaningful thinking in mathematics, a cohort of Year 7 students were introduced to a 'Building Thinking Classrooms' framework for learning in mathematics. In this paper, the authors outline the key features of the implemented framework and share reflections on challenges and benefits.

The tradition of studies involving the combinatorial approach to recurring numerical sequences has accumulated a few decades of tradition, and several problems continue to attract the interest of mathematicians in several countries. This work specifically discusses the Fibonacci, Pell, and Jacobsthal sequences, focusing on Mersenne sequences. The…

We presented two empirical studies to assess the efficacy of two Deep Reinforcement Learning (DRL) frameworks on two distinct Intelligent Tutoring Systems (ITSs) to exploring the impact of Worked Example (WE) and Problem Solving (PS) on student learning. The first study was conducted on a probability tutor where we applied a classic DRL to induce…

This work presents the intelligent tutoring system, EvoLogic, developed to assist students in problems of natural production in propositional logic. EvoLogic has been modeled as a multiagent system composed of three autonomous agents: interface, pedagogical and specialist agents. It supports pedagogical strategies inspired by the theory of…

Taylor series play a ubiquitous role in calculus courses, and their applications as approximants to functions are widely taught and used everywhere. However, it is not common to present the students with other types of approximations besides Taylor polynomials. These notes show that polynomials construed to satisfy certain boundary conditions at…

The introduction of games as a teaching and learning strategy in the classroom is a pedagogical resource that presents excellent results, as it creates situations that allow the students to develop problem solving methods, stimulate their creativity and at the same time generate motivation. The theories of learning are used to describe the motives…

This research examined the impact of the Cognitive-Communicative (C-C) model as a pedagogical strategy for teaching algebraic word problems (AWPs). The C-C model integrates structured dialogue, concept clarification, and systematic problem-solving steps to enhance students' comprehension and reasoning. Employing a mixed-methods framework, the…

This article reports on an empirical study that investigates the way students' performance in solving arithmetical tasks may be related to their performance in solving algebraic tasks. The sample consisted of 203 Grade 6 students. The arithmetical tasks involved arithmetical expressions with known quantities, whereas the algebraic tasks involved…

Real-time collaborative programming (RCP), which allows multiple programmers to work concurrently on the same codebase with changes instantly visible to all participants, has garnered considerable popularity in higher education. Despite this trend, little work has rigorously examined how undergraduates engage in collaborative programming when…