In this paper we describe learners being asked to generate examples of new mathematical concepts, thus developing and exploring example spaces. First we elaborate the theoretical background for learner generated examples (LGEs) in learning new concepts. The data we then present provides evidence of the possibility of learning new concepts through…

How do we construct abstract ideas like justice, mathematics, or time-travel? In this paper we investigate whether mental representations that result from physical experience underlie people's more abstract mental representations, using the domains of space and time as a testbed. People often talk about time using spatial language (e.g., a "long"…

The learning cycle has been embraced as a teaching approach that is consistent with the goals of the "National Science Education Standards" (National Research Council, 1996). Science teacher educators may be disappointed to find, however, that preservice teachers may fail to grasp this model, even after extensive instruction (e.g., Settlage,…

This document offers a planning tool for grades 3-7 that can be used by regional comprehensive centers, other technical assistance centers, and state departments of education to plan professional development for teachers. It is based on the "National Mathematics Advisory Panel Report" which was published in 2008. The panel synthesized its final…

The goal of this article is to examine students' mathematical development that occurs as a teacher works within each of 2 zones of learning: students' zones of proximal development (ZPD) and students' zones of potential construction (ZPC). ZPD, proposed by Vygotsky, is grounded in a social constructivist perspective on learning, whereas ZPC,…

This longitudinal study investigated the progression in junior high school (JHS) students' conceptions of the structure of matter while studying a new instructional approach dealing with "Materials." In particular, we studied the progression of students' learning along two dimensions: (a) the conceptual model; and (b) the context of application.…

In recent years, research within the sociocultural perspective on moral learning has contributed important knowledge about how individuals develop their moral ability by participating in sociocultural activities. To a lesser extent, sociocultural research has focused on the role of individual continuity in these processes. The purpose of this…

The study describes a new methodology and learning cycle, which will give a better understanding of the periodic table to the students. The students following the cycle have now started focusing more on the chemical instead of physical properties when developing their schemes.

A review of Learning, Memory, and Conceptual Processes (New York: Wiley, 1970) by Walter Kintsch. (DB)

In the last column we focused (as a primary goal of instruction) on the importance of teaching so that students learn to think their way into and through content. We stressed the need for well-designed daily structures and tactics for fostering deep learning, offering three strategies as examples. In this column, we provide four additional…

This study examined the nature of 5-, 6-, and 7-year-old children's (n=113) knowledge of astronomy and the process of knowledge change during learning. Children's pre-existing knowledge was assessed by questions and drawing tasks. About half of the children were taught elementary concepts of astronomy in small groups and afterwards all…

This article presents an initiative that is based on active learning pedagogy by engaging elementary and middle school students in the toy design and development field. The case study presented in this article is about student learning experiences during their participation in the TOYchallenge National Toy Design Competition. Students followed the…