Proportional reasoning as the capacity to compare situations in relative (multiplicative) rather than absolute (additive) terms is an important outcome of primary school mathematics. Research suggests that students tend to see comparative situations in additive rather than multiplicative terms and this thinking can influence their capacity for…

This practical article presents activities that support previous research suggesting the integration of art with science is beneficial to the learning and cooperative processes of children. The project showcased here highlights the ability of elementary school children to collaborate with their peers for problem solving and critical thinking…

Social competence and social communication development can be concurrently supported through intentional thought and planning on the part of the early childhood special educator. In this article, we present suggestions for how teachers can effectively plan for and implement interventions to support these two areas, all within the context of play.…

Facing students' decreasing motivation to pursue scientific study, schools and educators need to coordinate new technologies with pedagogical agents to effectively sustain or promote students' scientific learning and motivation to learn. Although the provision of pedagogical agents in student learning has been studied previously, it is not clear…

In a typical chemistry instrumentation laboratory, students learn analytical techniques through a well-developed procedure. Such an approach, however, does not engage students in a creative endeavor. To foster the intrinsic motivation of students' desire to learn, improve their confidence in self-directed learning activities and enhance their…

This paper details an inquiry-based approach for teaching the basic notions of rings and fields to liberal arts mathematics students. The task sequence seeks to encourage students to identify and comprehend core concepts of introductory abstract algebra by thinking like mathematicians; that is, by investigating an open-ended mathematical context,…

One in four children in the state of Georgia is food insecure. In the city of Athens, 60 miles northeast of Atlanta, the number approaches one in three. More than 33 percent of residents have significantly limited access to healthy foods, living in areas of the city that the U.S. Department of Agriculture (USDA) has identified as food deserts.…

Intellectual engagement is an absorbing, creatively energized focus resulting in a deep personal commitment to exploration, investigation, problem-solving and inquiry over a sustained period of time. In this article, the authors argue that participatory learning environments with a focus on knowledge building offer clear learning benefits to…

Epistemic beliefs are individuals' beliefs about the nature of knowledge, how knowledge is constructed, and how knowledge can be justified. This study employed a mixed-methods approach to examine: (a) middle and high school students' self-reported epistemic beliefs (quantitative) and epistemic beliefs revealed from practice (qualitative) during a…

A connection between creativity and curiosity may seem self evident, and, indeed, psychologists and philosophers have long held that creativity and curiosity are related. It seems logical enough. One can imagine that the typical individual is satisfied by the usual solution to a problem or the usual way to conceptualize a situation, but the…

Understanding how geologists conduct fieldwork through analysis of problem solving has significant potential impact on field instruction methods within geology and other science fields. Recent work has highlighted many aspects of fieldwork, but the problem solving behaviors displayed by geologists during fieldwork and the associated cognitive…

Project-based learning (PBL) is an effective approach to STEM education because it allows students to experience scientific inquiry by using their knowledge and skills in science, technology, engineering, and mathematics (STEM) to solve realistic problems. PBL consists of four components: (1) posing and comprehending a driving question; (2)…

The aim of this article is twofold: first, to identify and address three central divisions in the field of authentic education that introduce ambiguity and at times inconsistencies within the field of authentic education. These divisions concern a) the relationship between autonomy and authenticity; b) the division between the two basic attitudes…

In this work we introduce the system for adaptive practice of foundations of mathematics. Adaptivity of the system is primarily provided by selection of suitable tasks, which uses information from a domain model and a student model. The domain model does not use prerequisites but works with splitting skills to more concrete sub-skills. The student…

The use of external representations has the potential to facilitate inquiry learning, especially hypothesis generation and reasoning, which typically present difficulties for students. This study describes a novel three-dimensional cognitive mapping (3DCM) approach that supports inquiry learning by allowing learners to combine the information on a…