Mathematics education practitioners and researchers have long debated best pedagogical practices for introducing new concepts. Our design-based research project evaluated a heuristic framework, whereby students first develop acontextual sensorimotor schemes and only then extend these schemes to incorporate both concrete narratives (grounding) and…

In teaching proportion, the teachers usually give the students a formal formula, such as cross-multiplication, without providing them the meaning of proportionality. Thus, the students just apply it in order to solve proportional problems. However, it does not connote that they understand what proportionality means. In this paper, the authors…

This research explores the emergence of student creativity in classroom settings, specifically within two content areas: science and social studies. Fourteen classrooms in three elementary schools in Korea were observed, and the teachers and students were interviewed. The three types of student creativity emerging in the teaching and learning…

Radical constructivists advocate discovery-based pedagogical regimes that enable students to incrementally and continuously adapt their cognitive structures to the instrumented cultural environment. Some sociocultural theorists, however, maintain that learning implies discontinuity in conceptual development, because novices must appropriate expert…

Reports on a study in which a teacher used the collaborative development of a format-free computer database to facilitate the construction of knowledge by a group of students (n=3) during a science project. Results indicate that knowledge construction is enhanced when children collaboratively develop a format-free database. Contains 27 references.…

It has recently been determined that generating an explanatory hypothesis to explain a discrepant event is important for students' conceptual change. The purpose of this study is to investigate how students' generate new explanatory hypotheses. To achieve this goal, questions are used to identify students prior ideas related to electromagnetic…

In an attempt to find out more about how creative people engage in thinking, more than 50 men and women considered to be prominant in the humanities, the arts, and the sciences were interviewed. Letters, diaries and autobiographies of other creative individuals were examined in an effort to provide a broad base for studying the psychology of…

This paper reports the results of a phenomenographic study which focused on identifying and describing the conceptions of programming and related phenomena of about 120 computer science and computer engineering students learning to program. The report begins by tracing developments in the students' conceptions of programming and its parts, and…

Documents the patterns of coherence and persistence in energy conceptions. Describes the derivation of the Interview Vee technique and the procedure for putting an interview on the Vee. Discusses the production of Vee maps to help understand childrens' learning of concepts. (CW)

Reports on conceptual understanding and solution strategies for percent problems of (n=31) students representing 2 ability levels from grades 5, 7, 9, and 11. Strategies evolved from intuitive to formal and increased in diversity with increasing age. Appendix includes concept and computation interview questions. (Contains 15 references.) (MKR)