Word problems are frequently taught in shallow contexts, where students primarily use procedural knowledge to solve problems and struggle to transfer their learning to real-life situations. This study examines how extra-mathematical knowledge and motivation may enhance the learning process. The study involved 345 fifth-grade students (51.2% male)…

The purpose of this study is to provide reliable evidence of the observable correlates of the Aha! moment and what this means for moving from surface to deep thinking. The study analyses facial expressions and body language from video recordings of students solving problems, followed by interviews, focus groups, and surveys. The problem-solving…

This explanatory case study aims to investigate conceptual changes on the part of gifted and talented students and describe their reflective thinking with regard to problem-solving as part of the problem-based learning (PBL) process. Twenty-two gifted and talented fourth grade primary school students participated in the study. The students were…

One hundred years ago, Paul Weiss and Ludwig von Bertalanffy independently proposed that living organisms interact with their environment through systems. In the century that has followed, systems thinking and modeling have grown in tandem with discovery of the vast complexity of the universe at microscopic through astronomic levels. As our…

In this article, the author will demonstrate how gestures--often used in combination with offloading information on scratch paper--can be used to help students with difficulties in mathematics succeed with secondary level algebra. The authors will provide key examples from three studies of the algebra learning of students with mathematics…

The aim of this study is to explore the possibility of introducing the general notions of function and inverse function through a mathematical activity on linear functions, focusing on the quantitative meaning associated to the connection between a relation and its inverse. We present a genetic decomposition, that is, a viable cognitive path for…

Problem-posing has been regarded as a potential method to engage students in deeper thinking; however, without sufficient supports, most students could encounter difficulties in posing quality problems. In this study, a concept mapping-based online cooperative problem-posing (CM-OCPP) approach is proposed to guide students to complete…

Demand fading involves the removal and gradual reintroduction of demands and has been shown to effectively reduce escape-maintained challenging behavior. However, it is currently unclear if there are common demand fading practices when demand fading is used as an initial intervention rather than as a method for schedule thinning after another…

The nature of the development of arithmetic performance has long been intensively studied, and available scientific evidence can be evaluated and synthesized in light of Nelson and Narens' model of metacognition. According to the Nelson-Narens model, human cognition can be split into two or more interrelated levels. Obviously, in the case of more…

Background: One area that has been dramatically changed by artificial intelligence (AI) is educational environments. Chatbots, Recommender Systems, Adaptive Learning Systems and Large Language Models have been emerging as practical tools for facilitating learning. However, using such tools appropriately is challenging. In this regard, the…

The aim of this study was to develop students' chemical literacy by integrating dilemma stories into a Science, Technology, Engineering, Arts, and Mathematics (STEAM) project on petroleum. Chemical literacy can help students face future challenges by applying what they learn about chemistry subjects at school to solve problems in their daily…

A key challenge in CSCL research is to find ways to support learners in becoming effective collaborators. While the effectiveness of external collaboration scripts is well established, there is a need for research into support that acknowledges learners' autonomy during collaboration. In the present study, we compare an external collaboration…

In this article, I present selected extracts and formulations from John Dewey's seminal book "Democracy and Education" (1916) that speak to the question of the educational purpose of PBL. Dewey's work, and in particular this book, is in many ways foundational in regard to arguing for PBL as an educational approach. However, in…

We articulate a framework for delineating student thinking in active, STEM-rich learning environments. Researchers have identified ways of reasoning that relate to specific content areas and practices within each of the STEM disciplines. However, attempts at characterizing student thinking in transdisciplinary STEM environments remains in its…

This study tested competing theories about the effectiveness of different instructional sequences for learners with different levels of prior knowledge. Across two classroom experiments, undergraduates learned about noncovalent interactions in biochemistry by either receiving explicit instruction before problem-solving (I-PS group) or engaging in…