A story problem about borrowing money, presented in this article, may be represented with positive or negative numbers and thought about in different ways. The authors describe ideas related to integers (both positive and negative) and how students used them in relation to a story problem, and how they related these ideas to equations.

As beginning teachers start to recognize the complexity of teaching mathematics in elementary school classrooms and how their new vision for teaching mathematics creates new challenges, they experience discomfort--a healthy awareness that much is to be learned. Brousseau (1997) notes that changes in the roles that are implicitly assigned to the…

The purpose of this paper was to examine how pedagogical documentation and collaborative dialogue served as tools of inquiry for a group of undergraduate Early Childhood Education pre-service teachers at a Midwestern university. The research was a collaborative effort of several faculty members who formed a Scholarship of Teaching and Learning…

Muslim boys, once regarded as passive, hard working and law-abiding, have been recast in the public imagination in recent years. Now the stereotypical image is of volatile, aggressive hotheads who are in danger of being brainwashed into terrorism, or of would-be gangsters who are creating no-go areas in English towns and cities. This timely and…

This study aimed at identifying specifically prospective chemistry teachers' difficulties in determining the differences between the concepts of chemical thermodynamics and kinetics. Data were collected from 67 prospective chemistry teachers at Kazim Karabekir Education Faculty of Ataturk University in Turkey during 2005-2006 academic year. Data…

This study focuses on a specific Chinese immigrant subgroup, immigrants from the People's Republic of China (PRC) in Arizona, and details the impact of different immigrant experiences and settlement patterns on parents' attitudes toward Mandarin maintenance. Data were collected through an eight-month-long ethnographic research in Arizona. The…

The present study aims to identify first year Turkish Science undergraduates' understandings and misconceptions of the concept of light and its propagation. For this purpose, an instrument composed of four open-ended questions was developed by the researchers. The diagnostic test was piloted with twenty students and modifications were made prior…

Secondary school chemistry teachers' understanding of chemical equilibrium was investigated through interviews using the think-aloud technique. The interviews were conducted with twelve volunteer chemistry teachers in Hong Kong. Their teaching experience ranged from 3 to 18 years. They were asked to predict what would happen to the equilibrium…

This study sought to determine what elementary teachers know about student science misconceptions and how teachers address student misconceptions in instruction. The sample included 30 teachers from California with at least 1-year of experience teaching grades 3, 4, and 5. A semistructured interview was used. The interview transcripts were…

Students bring prior knowledge to their learning experiences. This prior knowledge is known to affect how students encode and later retrieve new information learned. Teachers and content developers can use information about students' prior knowledge to create more effective lessons and materials. In many content areas, particularly the sciences,…

The aim of this study was to elicit students' conceptions about big bubbles in boiling liquids (water, ethanol and aqueous CuSO[subscript 4] solution). The study is based on twenty-four students at different ages and grades. The clinical interviews technique was conducted to solicit students' conceptions and the interviews were analyzed to…

The present study focused on investigating the effectiveness of instruction via newly developed teaching materials based on cooperative learning when compared to a traditional approach, on ninth grade students' understanding of metallic bonding. Fifty-seven ninth grade science students from two science classes in the same high school participated…

Given the agreement of pedagogy experts about the importance of assessment in teaching and learning, this chapter focuses on the kinds of assessments used by student teachers as they planned lessons using five instructional models (IMs), for their models assessment project. In addition, the planned learning targets are examined by analyzing lesson…

Pre- and posttests and interviews concerning misconceptions and alternate conceptions of rates of change were administered to (n=42) students in first-semester calculus using a conceptually-motivated curriculum. Suggests that an emphasis on visual representations through construction and interpretation in conjunction with teacher-student analysis…

Considered are two commonly used techniques, the interview and word association techniques. Highlighted is a third technique called the repertory grid. This third technique can be used to interpret students' knowledge based on an explicit, psychological theory of human behavior. (Author/CW)