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The Handbook of Research Design in Mathematics and Science Education is based on results from an NSF-supported project (REC 9450510) aimed at clarifying the nature of principles that govern the effective use of emerging new research designs in mathematics and science education. A primary goal is to describe several of the most important types of research designs that:
* have been pioneered recently by mathematics and science educators;
* have distinctive characteristics when they are used in projects that focus on mathematics and science education; and
* have proven to be especially productive for investigating the kinds of complex, interacting, and adapting systems that underlie the development of mathematics or science students and teachers, or for the development, dissemination, and implementation of innovative programs of mathematics or science instruction.
The volume emphasizes research designs that are intended to radically increase the relevance of research to practice, often by involving practitioners in the identification and formulation of the problems to be addressed or in other key roles in the research process. Examples of such research designs include teaching experiments, clinical interviews, analyses of videotapes, action research studies, ethnographic observations, software development studies (or curricula development studies, more generally), and computer modeling studies. This book's second goal is to begin discussions about the nature of appropriate and productive criteria for assessing (and increasing) the quality of research proposals, projects, or publications that are based on the preceding kind of research designs. A final objective is to describe such guidelines in forms that will be useful to graduate students and others who are novices to the fields of mathematics or science education research.
The NSF-supported project from which this book developed involved a series of mini conferences in which leading researchers in mathematics and science education developed detailed specifications for the book, and planned and revised chapters to be included. Chapters were also field tested and revised during a series of doctoral research seminars that were sponsored by the University of Wisconsin's OERI-supported National Center for Improving Student Learning and Achievement in Mathematics and Science. In these seminars, computer-based videoconferencing and www-based discussion groups were used to create interactions in which authors of potential chapters served as "guest discussion leaders" responding to questions and comments from doctoral students and faculty members representing more than a dozen leading research universities throughout the USA and abroad.
A Web site with additional resource materials related to this book can be found at http://www.soe.purdue.edu/smsc/lesh/
This internet site includes directions for enrolling in seminars, participating in ongoing discussion groups, and submitting or downloading resources which range from videotapes and transcripts, to assessment instruments or theory-based software, to publications or data samples related to the research designs being discussed.
Table of Contents
| Preface |
| Part I The Need to Address Priority Problems |
| Purposes and Assumption of This BookR. Lesh and B. Lovitts and A.E. Kelly |
| Trends and Shifts in Research MethodsA.E. Kelly and R. Lesh |
| Research Agendas: Identifying Priority Problems and Developing Useful Theoretical PerspectivesR. Lesh and B. Lovitts |
| The Impact of Standards-Based Reform on Methods of Research in SchoolsT.A. Romberg and A. Collins |
| Improving Research and Systemic Reform Towards Equity and QualityJ. Confrey |
| Part II Reflecting on Instruments and Methods |
| Formulating Operational Definitions of Desired Outcomes of Instruction in Mathematics and Science EducationR. Lesh and D. Clarke |
| Progress in Research: The Interplay Among Theory, Research Questions, and Measurement TechniquesJ.P. Mestre |
| The Corruption of a Research Design: A Case Study of a Curriculum Innovation ProjectH.F. Cline and E.B. Mandinach |
| Part III Teaching Experiments |
| Multitiered Teaching ExperimentsR. Lesh and A. Kelly |
| Transformative Teaching Experiments Through Conjecture-Driven Research DesignJ. Confrey and A. Lachance |
| Teaching Experiment Methodology: Underlying Principles and Essential ElementsL.P. Steffe and P.W. Thompson |
| Conducting Teaching Experiments in Collaboration With TeachersP. Cobb |
| Research on the Development of Mathematics Teachers: The Teacher Development ExperimentM.A. Simon |
| Part IV Classroom-Based Research |
| Working on the Inside: Using One's Own Practice as a Site for Studying Teaching and LearningD.L. Ball |
| Paradigms for Teacher-Centered Classroom-Based ResearchH.M. Doerr and P.P. Tinto |
| Action Research as a Research Methodology for the Study of the Teaching and Learning of ScienceA. Feldman and J. Minstrell |
| Integrating a Naturalistic Paradigm Into Research on Mathematics and Science Cognition and LearningJ.N. Moschkovich and M.E. Brenner |
| Interpretive Research in Science EducationK. Tobin |
| Part V Clinical Methods |
| A Scientific Perspective on Structured, Task-Based Interviews in Mathematics Education ResearchG.A. Goldin |
| Analysis of Clinical Interviews: Foundations and Model ViabilityJ. Clement |
| Principles for Developing Thought-Revealing Activities for Students and TeachersR. Lesh and M. Hoover and B. Hole and A. Kelly and T. Post |
| Videorecording as TheoryR. Hall |
| Iterative Refinement Cycles for Videotape Analyses of Conceptual ChangeR. Lesh and R. Lehrer |
| Choosing and Using Video Equipment for Data CollectionJ. Roschelle |
| Part VI Curriculum Design as Research |
| Mathematics Curriculum Development as a Scientific EndeavorM.T. Battista and D.H. Clements |
| Designing Effective SoftwareD. Clements and M.T. Battista |
| Technology Design as Educational Research: Interweaving Imagination, Inquiry, and ImpactJ. Roschelle and N. Jackiw |
| The Role of Historical Studies in Mathematics and Science Educational ResearchD. Dennis |
| Part VII Toward Assessment Design |
| Subgroup Differences on the GRE Quantitative Test: Based on the Underlying Cognitive Processes and KnowledgeK.K. Tatsuoka and G.M. Boodoo |
| Cautions and Considerations: Thoughts on the Implementation and Evaluation of Innovation in Science EducationS.M.A. Cooper |
| Assessing Learning as Emergent Phenomena: Moving Constructivist Statistics Beyond the Bell CurveW.M. Stroup and U. Wilensky |
| When Using the Mean Is Meaningless: Examples From Probability Theory and CardiologyL. Liebovitch and A. Todorov and M. Wood and K. Ellenbogen |
