02305nam 2200457 450 00001396620050718115500.03-540-52768-020030611d1990----km-y0itay0103----baengDEComputational methods and function theoryproceedings of a conference held in Valparaiso, Chile, March 13-18, 1989St. Ruscheweyh ... [et al.], eds.Berlin [etc.]Springerc1990VI, 211 p.ill.25 cm.Lecture notes in mathematics14352001Lecture notes in mathematicsFunzioni di variabile complessaCongressi515(21. ed.)Analisi30B70Functions of a complex variable. Series expansions. Continued fractions30C10Functions of a complex variable. Geometric function theory. Polynomials30C25Functions of a complex variable. Geometric function theory. Covering theorems in conformal mapping theory30C30Functions of a complex variable. Geometric function theory. Numerical methods in conformal mapping theory30C70Functions of a complex variable. Geometric function theory. Extremal problems for conformal and quasiconformal mappings, variational methods30E05Functions of a complex variable. Miscellaneous topics of analysis in the complex domain. Moment problems, interpolation problems30E10Functions of a complex variable. Miscellaneous topics of analysis in the complex domain. Approximation in the complex domain65R20Numerical analysis. Integral equationsRuscheweyh,StephanITUniversità della Basilicata - B.I.A.RICAunimarc000013966Computational methods and function theory80116UNIBASMONSCISCIENZEEXT0030120030611BAS01115120050601BAS011755batch0120050718BAS01105220050718BAS01111120050718BAS01114120050718BAS011155BAS01BAS01BOOKBASA2Polo Tecnico-ScientificoGENCollezione generaleMAT69087S690872003061151Riservati05362nam 22007214a 450 991045477770332120200520144314.01-4020-6712-797866114917891-281-49178-010.1007/978-1-4020-6712-9(CKB)1000000000798501(EBL)367304(OCoLC)272311532(SSID)ssj0000317058(PQKBManifestationID)11237292(PQKBTitleCode)TC0000317058(PQKBWorkID)10288932(PQKB)10279297(SSID)ssj0000132103(PQKBManifestationID)11145863(PQKBTitleCode)TC0000132103(PQKBWorkID)10028206(PQKB)11059884(DE-He213)978-1-4020-6712-9(MiAaPQ)EBC367304(PPN)127050515(Au-PeEL)EBL367304(CaPaEBR)ebr10284657(CaONFJC)MIL149178(EXLCZ)99100000000079850120070928d2008 uy 0engur|n|---|||||txtccrCreative model construction in scientists and students[electronic resource] the role of imagery, analogy, and mental stimulation /John J. Clement1st ed. 2008.[S.l.] Springerc20081 online resource (632 p.)Description based upon print version of record.1-4020-6711-9 90-481-3023-9 Includes bibliographical references (p. 575-589) and index.Introduction: A “Hidden World” of Nonformal Expert Reasoning -- Analogies, Models, and Creative Learning in Experts and Students -- Major Processes Involved in Spontaneous Analogical Reasoning -- Methods Experts Use to Generate Analogies -- Methods Experts Use to Evaluate an Analogy Relation -- Expert Methods for Developing an Understanding of the Analogous Case and Applying Findings -- Case Study of Model Construction and Criticism in Expert Reasoning* -- Creativity and Scientific Insight in the Case Study for S2 -- Spontaneous Analogies Generated by Students Solving Science Problems -- Case Study of a Student Who Counters and Improves His Own Misconception by Generating a Chain of Analogies -- Using Analogies and Models in Instruction to Deal with Students' Preconceptions* -- Advanced Uses of Imagery and Investigation Methods in Science and Mathematics -- Analogy, Extreme Cases, and Spatial Transformations in Mathematical Problem Solving by Experts -- Depictive Gestures and Other Case Study Evidence for Use of Imagery by Experts and Students -- Physical Intuition, Imagistic Simulation, and Implicit Knowledge -- The Use of Analogies, Imagery, and Thought Experiments in Both Qualitative and Mathematical Model Construction -- Thought Experiments and Imagistic Simulation in Plausible Reasoning -- A Punctuated Evolution Model of Investigation and Model Construction Processes -- Imagistic Processes in Analogical Reasoning: Transformations and Dual Simulations -- How Grounding in Runnable Schemas Contributes to Producing Flexible Scientific Models in Experts and Students -- Summary of Findings on Plausible Reasoning and Learning in Experts I: Basic Findings -- Summary of Findings on Plausible Reasoning and Learning in Experts II: Advanced Topics -- Creativity in Experts, Nonformal Reasoning, and Educational Applications.How do scientists use analogies and other processes to break away from old theories and generate new ones? This book documents such methods through the analysis of video tapes of scientifically trained experts thinking aloud while working on unfamiliar problems. Some aspects of creative scientific thinking are difficult to explain, such as the power of analogies, the use of physical intuition, and the enigmatic ability to learn from thought experiments. The book examines the hypothesis that these processes are based on imagistic mental simulation as an underlying mechanism. This allows the analysis of insight ("Aha!") episodes of creative theory formation. Advanced processes examined include specialized conserving transformations, Gedanken experiments, and adjusted levels of divergence in thinking. Student interviews are used to show that students have natural abilities for many of the basic reasoning and model construction processes and that this has important implications for expanding instructional theories of conceptual change and inquiry. "I regard this work as the most comprehensive account ever attempted to show how imagistic, analogic, and sensory-motor representations participate in creative thinking." Professor Ryan Tweney, Bowling Green State University, Ohio, USA.Creative ability in scienceCreative thinkingAnalogy in science educationElectronic books.Creative ability in science.Creative thinking.Analogy in science education.501/.9Clement John1942-960174MiAaPQMiAaPQMiAaPQBOOK9910454777703321Creative model construction in scientists and students2176234UNINA