Existing frameworks of teachers' knowledge required to teach mathematics do not adequately capture the dynamic aspects of knowledge manifested in teaching practice. In this paper, we examine the knowledge demands that arise in situ, in the course of a teacher listening and responding to students' thinking, while teaching the topic of decimal…

The ability to generate novel hypotheses is an important problem-solving capacity of humans. This ability is vital for making sense of the complex and unfamiliar world we live in. Often, this capacity is characterized as an inference to the best explanation--selecting the "best" explanation from a given set of candidate hypotheses.…

Launching a problem is critical in a problem-based lesson. We investigated teachers' perspectives on the use of a problem that was analogous to the one provided during a launch. Our goal was to identify teachers' underlying assumptions regarding what should constitute a launch as elements of the "practical rationality of mathematics…

Educators have been challenged to identify threshold concepts and develop transformed students. This stands in stark contrast to many curriculum design and delivery models that currently view students as repositories of knowledge. In this article, we argue that educators can reach both goals, identify stumbling blocks and transforming students,…

Purpose: The purpose of this paper is to compare methods of working with pedagogical capital in teacher and mentor education. The author makes an account of the development of the concept of pedagogical capital and relates it to the theoretical context of practice theory. Empirical data will substantiate the theoretical discussion of teachers'…

This article is concerned with "commonsense science knowledge", the informally gained knowledge of the natural world that students possess prior to formal instruction in a scientific discipline. Although commonsense science has been the focus of substantial study for more than two decades, there are still profound disagreements about its nature…

This paper describes research on the use of journals in a general education chemistry course for elementary education majors. In the journals, students describe their understanding of a topic, the development of that understanding, and how the topic connects to their lives. In the process, they are able to engage in reflection about several…

Vocabulary knowledge is a salient factor influencing success both in and out of school. The specialized vocabulary knowledge in science represents the concept-laden hooks on which learning is hung and enables students to build prior knowledge through the expansion of these conceptual hooks. We have identified four levels of learners--struggling…

This study examined the differential impacts of an inquiry-based instruction on conceptual changes across levels of prior knowledge and reading ability. The instrument emphasized four simultaneously important components: conceptual knowledge, reading ability, attitude toward science, and learning environment. Although the learning patterns and…

We report on responses to a series of four questions designed to identify pre-existing abilities related to debugging and troubleshooting experiences of novice students before they begin programming instruction. The focus of these questions include general troubleshooting, bug location, exploring unfamiliar environments, and describing students'…

This article articulates a framework for examining the quality of formative assessment practice and provides empirical evidence in support of one of its components. Based on a study of middle school science, the study examines the accuracy of teachers' judgments of students' understanding and the relationship of such accuracy to middle school …

In the context of a research project on the role of prior knowledge state (PKS) in the learning process in a modular education system, a study of the literature was done in order to construct a conceptual map of "prior knowledge." In addition, a study was carried out in order to operationalize the concept of prior knowledge, to construct…

This article examines how the Dual-Situated Learning Model (DSLM) facilitates a radical change of concepts that involve the understanding of matter, process, and hierarchical attributes. The DSLM requires knowledge of students' prior beliefs of science concepts and the nature of these concepts. In addition, DSLM also serves two functions: it…

The conceptual development of schema theory, the way an individual organizes knowledge, is discussed, reviewing a range of perspectives regarding schema. Schema has been defined as the interfacing of incoming information with prior knowledge, clustered in networks. These networks comprise a superordinate concept and supporting information. The…

Two hundred forty English-speaking toddlers (24- and 36-month-olds) heard novel adjectives applied to familiar objects (Experiment 1) and novel objects (Experiment 2). Children were successful in mapping adjectives to target properties only when information provided by the noun, in conjunction with participants' knowledge of the objects, provided…