This book has two primary goals. On the level of theory development, the book clarifies the nature of an emerging qmodels and modeling perspectiveq about teaching, learning, and problem solving in mathematics and science education. On the level of emphasizing practical problems, it clarifies the nature of some of the most important elementary-but-powerful mathematical or scientific understandings and abilities that Americans are likely to need as foundations for success in the present and future technology-based information age. Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching features an innovative Web site housing online appendices for each chapter, designed to supplement the print chapters with digital resources that include example problems, relevant research tools and video clips, as well as transcripts and other samples of students' work: http://tcct.soe.purdue.edu/booksULandULjournals/modelsULandUL modeling/ This is an essential volume for graduate-level courses in mathematics and science education, cognition and learning, and critical and creative thinking, as well as a valuable resource for researchers and practitioners in these areas.To begin the paper airplane problem, students read an article about how to make a variety of different types of paper airplanes. ... each of the three flight paths; for each of these nine flights, three measurements were recorded: (a) the total distance flown, (b) the ... four kinds of flight characteristics: (a) best floater (i.e., going slowly for a long time), (b) most accurate, (c) best boomerang, and (d) best overall.
|Author||:||Richard A. Lesh, Helen M. Doerr|
|Publisher||:||Routledge - 2003-05-01|