The premise of this article is that the study of representation is valuable and important for mathematics and science students. Learning about representation should go beyond learning specific, sanctioned representations emphasized in standard curricula (graphs, tables, etc.) to include principles and design strategies that apply to any scientific…

Summary Street is educational software based on latent semantic analysis (LSA), a computer method for representing the content of texts. The classroom trial described here demonstrates the power of LSA to support an educational goal by providing automatic feedback on the content of students' summaries. Summary Street provides this feedback in an…

Students learn more and gain greater understanding from one-to-one tutoring. The preferred explanation has been that the tutors' pedagogical skills are responsible for the learning gains. Pedagogical skills involve skillful execution of tactics, such as giving explanations and feedback, or selecting the appropriate problems or questions to ask the…

In this article, we examine the role that different participant structures can play in supporting inquiry-based science learning. We frame mastering scientific inquiry as mastering the "what," "why," and "how" of the cultural tools that scientists employ. We present a participant structure we call the teacher as partner and show how it renders the…

Activity structures such as classroom lessons and initiation-reply-evaluation sequences are important cultural tools that help students and teachers accomplish everyday activity, but they are not well adapted to open-ended inquiry conducted by students in small groups with teacher guidance. In this research, I identified alternative activity…

Changes in participant structures in classroom environments are often examined in terms of their effects on student learning. In this study, we proposed a way of examining participant structures in terms of power. According to Wertsch (1998) "the emergence of new cultural tools transforms power and authority" (p. 65). When researchers or teachers…

Analogical reasoning has long been believed to play a central role in mathematics learning and problem solving (see Genter, Holyoak, & Kokinov, 2001); however, little is known about how analogy is used in everyday instructional contexts. This article examines analogies produced in naturally occurring U.S. mathematics lessons to explore patterns…

Activities that promote student invention can appear inefficient, because students do not generate canonical solutions, and therefore the students may perform badly on standard assessments. Two studies on teaching descriptive statistics to 9th-grade students examined whether invention activities may prepare students to learn. Study 1 found that…

The effects of computer animations and mental animation on people's mental models of a mechanical system are examined. In 3 experiments, students learned how a mechanical system works from various instructional treatments including viewing a static diagram of the machine, predicting motion from static diagrams, viewing computer animations, and…

This study examined the behaviors and experiences of students who needed assistance while working in peer-directed small groups on mathematics problems and the processes that helped or hindered their learning. Students in 4 seventh-grade classes worked in heterogeneous small groups throughout a 3-week unit on operations with decimal numbers.…

This study analyzes the interpretive activities of scientists related to familiar and unfamiliar graphs. The analyses show that when scientists were familiar with a graph, they read it transparently and thereby leapt beyond the material basis to the thing the graph is said to be about. In contrast, when scientists were less familiar with the…

This article describes how children build increasingly abstract knowledge of linear measurement, emphasizing ways they relate space and number. Assessments indicate children struggle to understand measurement, especially concepts related to complex paths as in perimeter tasks. This article draws on developmental accounts of children's knowledge of…

Recounts a study documenting the actual learning trajectory of the classroom community and the diversity in eighth-graders' reasoning as they participated in the classroom mathematical practices that constituted this trajectory. Describes the learning of the research team by documenting conjectures about students' statistical learning and the…

This interview study gathered information about the prior knowledge and thinking of kindergarten to third- graders regarding the supply of water, heat, and light to modern homes. Findings indicated that students possessed only limited and spotty knowledge about utilities in modern homes. Within general trends, there was evidence of growth in…

Examined how seven Norwegian law students' strategic processing and linking of multiple sources worked together during reading expository texts. Found that students primarily used memorization and organization strategies to process information in the text they were currently reading. They more often used monitoring and elaboration to focus on…