In this article, the author talks about "Developing Early Literacy," the report of the National Early Literacy Panel. The panel, which consisted of nine experts, was convened by the National Institute for Literacy to synthesize the research on the development of literacy from birth through age 5. Over the eight years of their work, only 190…

The impulse to investigate the natural world is deeply rooted in our earliest childhood experiences. This notion has long guided researchers to uncover the cognitive mechanisms underlying the development of scientific reasoning in children. Until recently, however, research in cognitive development and education followed largely independent…

Emergent learning describes learning that occurs when participants interact and distribute knowledge, where learning is self-directed, and where the learning destination of the participants is largely unpredictable (Williams, Karousou, & Mackness, 2011). These notions of learning arise from the topologies of social networks and can be applied to…

Although teachers in principle are prepared to make use of science centers, such excursions often fail to facilitate learning processes. Therefore, it is necessary to improve the link between science centers and schools. The design and evaluation of valuable outreach projects may enhance students' out-of-school science learning. In our study, we…

This paper describes the role of simulation-based training in the military. Interviews and observations of military instructors in the damage control and shiphandling domains provide examples of how the instructors extend the student's training beyond the well-defined simulated world with qualitative reasoning about context, hypothetical variants,…

Argumentation is a process that occurs often in ill-defined domains and that helps deal with the ill-definedness. Typically a notion of "correctness" for an argument in an ill-defined domain is impossible to define or verify formally because the underlying concepts are open-textured and the quality of the argument may be subject to discussion or…

A number of studies have shown that spending time in nature produces cognitive benefits. What if a child's exposure to the out-of-doors is considered not just a beneficial extracurricular activity, but a fundamental building block to an elementary education in math and science? The Young Achievers Science and Math Pilot School operates a 9:30 a.m.…

Field studies are an excellent way for students to learn ecological concepts and practice doing science. This article presents an approach for the secondary science classroom that permits students to ask and answer their own questions, a prerequisite for truly experiencing the process of science. Students explore a local natural area and, in…

Encouraging students to make independent discoveries is an effective way to get them excited about mathematics, and sharing their triumphant moments (their light bulb moments) helps to spread this excitement to their peers. A Mathematics for the Liberal Arts course is a perfect venue for the sharing of light bulb moments, as it helps to correct…

To determine whether having a program is sufficient one must first define what is meant by "program." If by program one refers to the pullout program in the elementary school, or the afterschool enrichment program in the middle school, or the Advanced Placement program in the high school, or the hockey program, then certainly having a "program" is…

"MathThematics" is a mathematics curriculum for grades 6 through 8 that combines activity-based, discovery learning with direct instruction. The textbook for each grade level has eight instructional modules, with each module focused on a theme. Open-ended questions and projects are utilized throughout the curriculum to assess…

We describe exercises in which students use PascGaloisJE to formulate conjectures about certain binomial identities which hold when the binomial coefficients are interpreted as elements in the cyclic group Z[subscript p] of integers modulo a prime integer "p". In addition to having an appealing visual component, these exercises are open-ended and…

This article draws on the 21st Century Skills Movement and the successful teaching practices of Asian schools in order to provide five suggestions that secondary math teachers can incorporate into their classrooms in order to promote the skill set necessary for an ever-changing global economy. Problem-based instruction, student-led solutions, risk…

The authors of the three papers in this issue discuss and analyze the practice underlying "critical exploration," a research pedagogy applied in common within their separate art, science, and teacher education classrooms. Eleanor Duckworth developed critical exploration as a method of teaching by involving students so actively and reflectively…

I discuss my experience with teaching an advanced undergraduate Real Analysis class using both lecturing and the small-group guided discovery method. The article is structured as follows. The first section is about the organizational and administrative components of the class. In the second section I give examples of successes and difficulties…