This research examines adolescents' learning about a historical issue from multiple information sources. Adolescents read 2 contradictory texts explaining the Fall of Rome and thought out loud after each sentence. After reading, a series of questions probed their understanding and ability to reason with the information. Think-aloud protocols were…

In this study, we investigated the fluency with which first graders of different mathematical achievement levels applied multiple, school-taught strategies for finding arithmetic sums over 10. We characterized children's strategies with the 4 parameters of Lemaire and Siegler's (1995) model of strategy change (strategy repertoire, distribution,…

Drawing on sociological and philosophical studies of science, science educators have begun to view argumentation as a central scientific practice that students should learn. In this article, we extend recent work to understand the structure of students' arguments to include judgments about their quality through content analyses of high school…

Previous research (e.g., De Bock, 2002) has shown that--due to the extensive attention paid to proportional reasoning in elementary and secondary mathematics education--many students tend to overrely on proportional methods in diverse domains of mathematics (e.g., geometry, probability). We investigated the development of misapplication of…

In this article, we analyze the complexity of using instructional dialogues in the teaching of mathematics. We trace a 10-lesson unit on functions and their graphs taught by Magdalene Lampert to a 5th-grade classroom. We use this trace to help analyze and systematize the complexity of the classroom discourse. Analysis shows that Lampert's…

Recent research has revealed the existence of intuitive representations strongly rooted in diverse knowledge domains and the difficulties of modifying those representations through instruction by means of conceptual change processes (Carey, 1995; Gopnik & Meltzoff, 1997; Vosniadou, 1994). According to some interpretations, these representations…

In this article, I propose that at the juncture of disciplines, the mind is involved in at least 3 cognitive activities: overcoming internal monologism or monodisciplinarity, attaining provisional integration, and questioning the integration as necessarily partial. This claim is supported by interview data I collected primarily from faculty…

We argue that learning about the nature and utility of scientific models and engaging in the process of creating and testing models should be a central focus of science education. To realize this vision, we created and evaluated the Model-Enhanced ThinkerTools (METT) Curriculum, which is an inquiry-oriented physics curriculum for middle school…

To investigate teachers' everyday on-the-job learning, I used a comparative case study design and examined the work of mathematics teachers in 2 high schools. Analysis of interviews, classroom observations, and teachers' conversations highlighted 3 key resources for learning: (a) reform artifacts oriented the teachers' attention to key concepts of…

Based on close observations of two 4-year-old children responding to their parents' requests for quantitative comparisons, we offer a "participationist" account of the origins and development of numerical thinking, one that portrays numbers as a product rather than a pregiven object of human communication. In parallel, we propose a…

We present a methodology for designing better learning environments. In Phase 1, 6th-grade students' (n = 223) prior knowledge was assessed using a difficulty factors assessment (DFA). The assessment revealed that scaffolds designed to elicit contextual, conceptual, or procedural knowledge each improved students' ability to add and subtract…

In this study, we examined why observational learning positively affects learning outcomes of new writing tasks. In this study, we focused on the effects of observational learning on the temporal organization (i.e., orchestration) of writing processes and on the subsequent influence on text quality. An experiment was set up in which participants…

In this article, I present a study in which 12 pairs of 8th-grade students solved problems about a physical device with algebra. The device, called a winch, instantiates motions that can be modeled by pairs of simultaneous linear functions. The following question motivated the study: How can students generate algebraic models without direct…

This study investigated the developmental paths of Japanese Grade 1 students' understanding of quantities through the examination of their addition solution methods over the school year period. The individual students exhibited a wide range of experiences with and knowledge of addition from the beginning to the end of the school year. Students…

The study examined children's understanding of scientific inquiry, through the lens of their conceptualization of uncertainty in investigations they had designed and implemented with a partner. These largely student-regulated investigations followed a unit about animal behavior that emphasized the scaffolding of independent inquiry. Participants…