Grace, forgiveness, and charity are near unto death in the narcissistic culture that we now inhabit and though narcissists think that engaging in a constant battle to ensure that me and mine are always the top dogs is the best of all life strategies, Twenge & Campbell, in their 2013 book The Narcissism Epidemic, argue that ultimately, it leads…

In this article, we address a call by Thompson and Carlson to directly contribute to defining the variation of students' reasoning about varying quantities. We show that students as young as in sixth grade can engage in complex forms of reasoning about multiple quantities in contexts that involve exploring science phenomena using interactive…

Contemporary society is experiencing an epistemic crisis, evidenced by such "post-truth" phenomena as "alternative facts." Traditional notions related to knowledge and Truth have been under continual, partly justifiable, attack under the eclectic banner of postmodernism, and alternative epistemic foundations (essential for…

Findings on children's proportional reasoning abilities strongly vary across studies. This might be due to the different contexts that can be used in proportional problems: fair-sharing, mixtures, and probability. A review of the scientific literature suggests that the context of proportional problems may not only impact the difficulty of the…

Effective science education draws on many different ways of teaching science. The literature on science education documents some potential benefits of argumentation instruction as a powerful tool for learning science and maintaining wonder and curiosity in the classroom. Unlike expository teaching, which relies on a teacher-driven pedagogy in…

Therapeutic reasoning is when the purpose, task, or goal for engaging in reasoning is to determine the patient's management plan. As the field's understanding of the process of therapeutic reasoning is less well understood, we focused on studies that collected data on the process of therapeutic reasoning. To synthesize previous studies of…

This work is the result of a pre-experiment carried out as part of a master's course, dealing with the study of the parabola through different mathematical views. It aims to recognize possible didactic obstacles in its teaching, based on intuitive manifestations in the resolution of a didactic situation based on GeoGebra software. The methodology…

The ability to reason about how things were made is a pervasive aspect of how humans make sense of physical objects. Such reasoning is useful for a range of everyday tasks, from assembling a piece of furniture to making a sandwich and knitting a sweater. What enables people to reason in this way even about novel objects, and how do people draw…

In this article, examples are shown to demonstrate how open-ended mathematical activities can be used in the classroom. Open-ended activities give students opportunities to apply their understanding in unfamiliar contexts without the pressure of finding one perfect solution.

Embodied cognition has recently gained increasing attention in mathematics education research. However, little is known about ways to use an embodied approach to reach for mathematical abstraction. In this study, we investigate this topic for the case of functional thinking (FT) using digital technology (DT) through a systematic literature study.…

Background: In learning astronomy, students need to shift between 3D and 2D representations involving complex interactions between the body and material environment. Little attention has been paid to the iconic nature of this astronomical diagramming. Purpose: This research explored the value for students of diagramming to reveal the structural…

Science, Technology, Engineering, and Math (STEM) education is essential to the economic growth, health, and progress of the modern world. One cognitive ability that underpins thinking and learning in STEM, as well as other disciplines, is relational ability. This ability to spot common relations shared by different objects, events, ideas, or…

Causal reasoning is a fundamental cognitive ability that enables individuals to learn about the complex interactions in the world around them. However, the mechanisms that underpin causal reasoning are not well understood. For example, it remains unresolved whether children's causal inferences are best explained by Bayesian inference or…

As a wide variety of intelligent technologies become part of everyday life, researchers have explored how people conceptualize agents that in some ways act and think like living things but are clearly machines. Much of this work draws upon the idea that people readily default to generalizing human-like properties to such agents, and only pare back…

Teaching syllogistic reasoning is often perceived as teaching pupils the purely formal rules of deductive inference. According to this common conception, such reasoning is a highly abstract skill, one that is carried out by the processing of syntactically encoded representations of the premises. This paper argues that syllogistic reasoning may,…