A solid understanding of fractions is the cornerstone for acquiring proficiency with rational numbers and paves the way for learning advanced mathematical concepts, such as algebra. Fraction difficulties limit not only students' educational and vocational opportunities but also their ability to solve everyday problems. Students who exit 6th grade…

Flexible teaching of mathematics word problems is essential to improve learning. Flexible teaching is vital in terms of providing meaningful learning, creating inclusive learning spaces and making content accessible. As such, teachers need to strive to provide flexible teaching of mathematics word problems in order to optimise and maximise…

Teaching and learning Calculus concepts and procedures, particularly the definite integral concept, is a challenge for teachers and students in their academic careers. In this research, we supplement the analysis made by different authors, applying the theoretical and methodological tools of the Onto-Semiotic Approach to mathematical knowledge and…

Problem-based instruction (PBI) is a research-based, student-centered instructional strategy that uses rich mathematical tasks to connect students' previously acquired math knowledge to new mathematical concepts. Unlike traditional teaching and learning strategies, PBI facilitates learning by making connections between mathematical concepts and…

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…

Objective: The study aims to examine the contributions of Emilio Mira y López (1896-1964) to the early conceptualization and treatment of what is now known as Attention Deficit Hyperactivity Disorder (ADHD). It seeks to contextualize his ideas within broader historical, pedagogical, and psychiatric developments in Spain and internationally.…

The present study aimed to determine the views of classroom teachers on the inclusion or exclusion of current issues in classroom instruction, to investigate these views based on the definition of current issues, the methods and techniques employed in the instruction of current issues, the analysis of the instruction, and the positive and negative…

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…

In this paper, this theme of the open question is offered as a hermeneutical approach to problem-based learning. Most of the scientific literature on problem-based learning is in the realm of the behavioral-sciences. To the extent that the latter becomes the exclusive focus of research on problem-based learning, there is a risk of…

Given the profound social implications of climate change, this subject is increasingly important for a broad range of sociology classes. Sociology instructors who address the subject of climate change face a dilemma. Presenting too grim of a portrait risks fostering psychological distress and withdrawal from action to address climate change,…

Domain perspective reasoning refers both to students' recognition of authors' domain perspectives during reading and students' abilities to draw on varied domain perspectives to reason about and understand a complex social issue. Two instructional manipulations were examined in this study. First, students were asked to identify authors' domain…

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…