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…

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…

This article systematically reviews the pedagogical approaches adopted in high school chemistry education with the aim of highlighting the most effective evidence-based instructional practices reported in the literature. For this, a meta-analysis of 35 pedagogical approaches is analyzed, and their effect sizes (Cohen's d) are compared in terms of…

Background or Context: This research is situated against the backdrop of viral racial violence, global uprisings for racial justice, a polarizing presidential election, the insurrection at the U.S. Capitol, widespread economic precarity, and the COVID-19 pandemic. Alongside such urgent reminders of the need for liberatory education, the daily…

Conceptual model-based problem solving (COMPS) was tested for its efficacy in teaching a student diagnosed with autism spectrum disorder to solve word problems involving multiplication and division. A single-case, multiple-baseline across behaviors design was conducted. The ability to solve each of three types of multiplication problems examined…

Eliciting student thinking during mathematics instruction allows teachers to choose tasks with high cognitive demand while also engaging students to use productive struggle to solve mathematical problems, thus increasing their conceptual understanding. Often, students who require intensive intervention in mathematics, in particular, students who…

One of the factors associated with the less than positive mathematics performance of American students could be poorly designed textbooks that fail to facilitate the development of critical mathematical ideas. This study examined two reform-based textbooks (Go math! and Investigations) in reference to essential, mathematical big ideas emphasized…

The use of court cases as educational tools is widely established and deeply entrenched as an effective approach to legal studies education. Exploring legal concepts against the backdrop of a known outcome, in the form of a verdict or a judicial opinion, provides certainty and a foundation for the analytical extension of precedent to new and…