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Progress of theoretical and experimental physics
Progress of theoretical and experimental physics
Pubbl/distr/stampa [Tokyo, Japan] : , : Physical Society of Japan, , 2012-
Descrizione fisica 1 online resource
Soggetto topico Mathematical physics
Física
Soggetto genere / forma Periodicals.
Revistes electròniques.
ISSN 2050-3911
Formato Materiale a stampa
Livello bibliografico Periodico
Lingua di pubblicazione eng
Altri titoli varianti Prog. Theor. Exp. Phys
Record Nr. UNINA-9910141429803321
[Tokyo, Japan] : , : Physical Society of Japan, , 2012-
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Progress of theoretical and experimental physics
Progress of theoretical and experimental physics
Pubbl/distr/stampa [Tokyo, Japan] : , : Physical Society of Japan, , 2012-
Descrizione fisica 1 online resource
Soggetto topico Mathematical physics
Física
Soggetto genere / forma Periodicals.
Revistes electròniques.
ISSN 2050-3911
Formato Materiale a stampa
Livello bibliografico Periodico
Lingua di pubblicazione eng
Altri titoli varianti Prog. Theor. Exp. Phys
Record Nr. UNISA-996321913203316
[Tokyo, Japan] : , : Physical Society of Japan, , 2012-
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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Progress of theoretical physics
Progress of theoretical physics
Pubbl/distr/stampa [Kyoto, Japan], : [publisher not identified], -2012
Disciplina 530.1/5
Soggetto topico Mathematical physics
Physique mathématique
Theoretische fysica
Física
Soggetto genere / forma Periodicals.
Revistes electròniques.
ISSN 1347-4081
Formato Materiale a stampa
Livello bibliografico Periodico
Lingua di pubblicazione eng
Record Nr. UNINA-9910304533003321
[Kyoto, Japan], : [publisher not identified], -2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Progress of theoretical physics
Progress of theoretical physics
Pubbl/distr/stampa [Kyoto, Japan], : [publisher not identified], -2012
Disciplina 530.1/5
Soggetto topico Mathematical physics
Physique mathématique
Theoretische fysica
Física
Soggetto genere / forma Periodicals.
Revistes electròniques.
ISSN 1347-4081
Formato Materiale a stampa
Livello bibliografico Periodico
Lingua di pubblicazione eng
Record Nr. UNISA-996532570903316
[Kyoto, Japan], : [publisher not identified], -2012
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Progress of theoretical physics Supplement
Progress of theoretical physics Supplement
Pubbl/distr/stampa Kyoto, Japan, : Kyoto University, : 1955-2012
Soggetto topico Physics
Physique
Theoretische fysica
Física
Soggetto genere / forma Periodicals.
Revistes electròniques.
Formato Materiale a stampa
Livello bibliografico Periodico
Lingua di pubblicazione eng
Record Nr. UNISA-996532572403316
Kyoto, Japan, : Kyoto University, : 1955-2012
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Progress of theoretical physics Supplement
Progress of theoretical physics Supplement
Pubbl/distr/stampa Kyoto, Japan, : Kyoto University, : 1955-2012
Soggetto topico Physics
Physique
Theoretische fysica
Física
Soggetto genere / forma Periodicals.
Revistes electròniques.
Formato Materiale a stampa
Livello bibliografico Periodico
Lingua di pubblicazione eng
Record Nr. UNINA-9910144179803321
Kyoto, Japan, : Kyoto University, : 1955-2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Understanding physics using mathematical reasoning : a modeling approach for practitioners and researchers / / Andrzej Sokolowski
Understanding physics using mathematical reasoning : a modeling approach for practitioners and researchers / / Andrzej Sokolowski
Autore Sokołowski Andrzej
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica 1 online resource (208 pages)
Disciplina 530
Soggetto topico Physics
Mathematical analysis
Reasoning
Física
Anàlisi matemàtica
Raonament
Soggetto genere / forma Llibres electrònics
ISBN 3-030-80205-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- The Book Structure -- Contents -- Part I: Conceptual Background -- Chapter 1: Physics Constructs Viewed Through the Prism of Mathematics -- 1.1 Mathematics as an Indispensable Part of Physics Inquiry -- 1.2 Laws of Physics and Their Mathematical Embodiments -- 1.3 Principles and Their Relations to Laws -- 1.4 Theories and Laws -- 1.5 Theories and Theorems -- References -- Chapter 2: The Interface Between the Contents of Physics and Mathematics -- 2.1 Mathematics as a Language in Physics Classroom -- 2.2 Philosophy and the Substance of the Knowledge of Mathematics -- 2.3 Procedural and Conceptual Mathematical Knowledge -- 2.4 Unifying Classification of Math Knowledge Used in Physics Education -- 2.5 Arrays of Applying Mathematics in Physics -- 2.6 Search for Tools and Methods -- 2.7 Mathematical and Scientific Reasoning -- Are These Mental Actions Equivalent? -- 2.8 Synthesis of Students' Challenges with Math Knowledge Transfer -- References -- Part II: Designing Learning Environments to Promote Math Reasoning in Physics -- Chapter 3: Modeling as an Environment Nurturing Knowledge Transfer -- 3.1 Scientific Modeling and Models -- 3.2 Modeling Cycles in Physics Education -- 3.3 Merging Mathematics and Physics Representations -- References -- Chapter 4: Proposed Empirical-Mathematical Learning Model -- 4.1 Didactical Underpinnings of the Design -- 4.2 Description of the Learning Phases -- 4.3 Hypotheses as Learners' Proposed Theories -- 4.4 Mainstream of the Inquiry and Its Confirmation -- 4.5 Methods of Enacting Mathematical Structures -- 4.6 Concluding Phases of the Learning Process -- References -- Chapter 5: Covariational Reasoning - Theoretical Background -- 5.1 Quantities, Parameters, and Variables -- 5.2 Formulas in Science and Mathematics -- 5.3 Covariational Reasoning in Mathematics Education.
5.4 Covariational Reasoning in Physics Education -- 5.4.1 Viewing Phenomena as Covariations of Their Parameters -- 5.4.2 Proposed Categories of Covariations Embedded in Physics Formulas -- 5.4.3 Discussing Covariations of Parameters in Experiments -- 5.5 Limiting Case Analysis -- 5.5.1 Evaluating Limits when the Variable Parameter Is Getting Very Large -- x∞ -- 5.5.2 Evaluating Limits when the Variable Parameter Is Close to a Specific Value -- xa -- 5.5.3 Is Limiting Case Analysis Really "Limiting"? -- References -- Part III: From Research to Practice -- Chapter 6: Extending the Inquiry of Newton's Second Law by Using Limiting Case Analysis -- 6.1 Limits - Tools for Extending Scientific Inquiry -- 6.2 Research Methods -- 6.2.1 Research Questions, Logistics, and Participants -- 6.2.2 Criteria for the Study Content Selection -- 6.2.3 Discussion of the Applied Algebraic Tools -- 6.3 Description of the Instructional Unit -- 6.3.1 Analyzing Acceleration of the System in the Function of Mass m2 -- 6.3.2 Analyzing Acceleration of the System in the Function of Mass m1 -- 6.4 Data Analysis -- 6.4.1 Analysis of the Pretest Results -- 6.4.2 Analysis of the Posttest Results -- 6.5 Conclusions -- References -- Chapter 7: Reconstructing Newton's Law of Universal Gravity as a Covariate Relation -- 7.1 Prior Research Findings -- 7.2 Theoretical Framework -- 7.2.1 Historical Perspective -- 7.2.2 Contemporary Presentations of the Law of Universal Gravity -- 7.3 Methods -- 7.4 Didactical Underpinnings of the Instructional Unit -- 7.5 The Lecture Component -- 7.5.1 Gravitational Field Intensity and the Effects of Covariate Quantities -- 7.5.2 Reconstructing the Formula to Calculate Mutual Gravitational Force -- 7.6 Analysis of Pretest - Posttest Results -- 7.6.1 Analysis of the Pretest Results -- 7.6.2 Analysis of the Posttest Results.
7.7 Conclusions and Suggestions for Further Research -- References -- Chapter 8: Parametrization of Projectile Motion -- 8.1 Prior Research Findings -- 8.2 Theoretical Framework -- 8.2.1 Categories of Motion Studied in High School and Undergraduate Physics Courses -- 8.2.2 Why Parametric Equations? -- 8.2.3 Foundations of Constructivist Learning Theory -- 8.3 Methods -- 8.3.1 Study Description and the Research Question -- 8.3.2 The Participants -- 8.3.3 Lecture Component Sequencing -- 8.3.4 Topics Embedded within the Curriculum to Enhance the Treatment -- 8.4 General Lab Description -- 8.4.1 Lab Logistics -- 8.4.2 Gathering Data to Construct Positions Functions for a Projected Object -- 8.4.3 Constructing Representations of the Position Functions -- 8.4.4 Finding Velocities and Acceleration Functions -- 8.4.5 Verification Process -- 8.5 Treatment Evaluation -- 8.6 Summary and Conclusions -- References -- Chapter 9: Reimaging Lens Equation as a Dynamic Representation -- 9.1 Introduction -- 9.2 Prompts Used for the Instructional Unit Design -- 9.2.1 Mathematical Background -- 9.2.2 Lab Equipment -- 9.2.3 Conversion of Lens Equation into a Covariational Relation -- 9.2.4 Sketching and Scientifically Interpreting the Graph of the Lens Function -- 9.2.5 Formulating Magnification Function -- 9.2.6 Merging Mathematical and Experimental Representations into One Inquiry -- 9.3 Suggested Independent Student Work -- 9.4 Summary -- References -- Chapter 10: Embracing the Mole Understanding in a Covariate Relation -- 10.1 Introduction and Prior Research Findings -- 10.2 Theoretical Framework -- 10.2.1 Weaknesses of the Mole Understanding -- 10.2.2 Proportional Reasoning, Rates, and Ratios -- 10.3 Methods -- 10.4 The Lecture Component -- 10.4.1 The Mole as a Fundamental Unit of the Substance Amount -- 10.4.2 Converting the Number of Atoms to the Units of Moles.
10.4.3 Converting Mass of Substance to Moles -- 10.4.4 Converting Mass of a Substance to the Number of Atoms -- 10.5 Pretest Posttest Analysis -- 10.5.1 Analysis of the Pretest Results -- 10.5.2 Comparisons of the Pretest and Posttest Results -- 10.6 Summary and Conclusions -- References -- Chapter 11: Enabling Covariational Reasoning in Einstein's Formula for Photoelectric Effect -- 11.1 Prior Research -- 11.2 Theoretical Background -- 11.3 Embracing the PE into the Framework of Covariational Representation -- 11.3.1 Weaknesses of the Graph of KMAX Versus Photons' Frequency Presented in Physics Resources -- 11.3.2 Covariation of Photon's Energy and Frequency as a Linear Function -- 11.3.3 Electrons' Binding Energy as a Function of Photons Threshold Frequency -- 11.3.4 Maintaining a Minimum Number of Covariational Parameters During the Inquiry -- 11.4 Reassembling the PE Formula to Assure a Coherence of Representations -- 11.4.1 Graph Constructing -- 11.4.2 Finding Algebraic Representation of the Graph -- 11.4.3 Linking the Photons Threshold Frequency and the Work Function hfo = Wo -- 11.5 Summary and Conclusions -- References -- Chapter 12: Are Physics Formulas Aiding Covariational Reasoning? Students' Perspective -- 12.1 Introduction and Prior Research Findings -- 12.2 Theoretical Background and Methods -- 12.2.1 Foundations of Covariation Reasoning -- 12.2.2 Study Description, Participants, Research Questions, and Evaluation Instrument -- 12.3 Data Analysis -- 12.4 Summary and Conclusions -- 12.4.1 Traditional Formula Notation Does Not Aid Covariational Reasoning in Physics -- 12.4.2 Physics Depends on the Mathematical Rules and Notation -- References -- Chapter 13: Adaptivity of Mathematics Representations to Reason Scientifically Students' Perspective -- 13.1 Prior Research Findings.
13.2 Theoretical Framework, Research Questions, and Study Logistics -- 13.3 Study Instrument -- 13.3.1 General Characteristics of the Treatment: How Did Covariational Reasoning Emerge? -- 13.3.2 Actions Taken to Exercise Covariation Model Using Laboratory -- 13.4 Data Analysis -- 13.5 Summary and Conclusions -- References -- Teaching Physics Using Mathematical Reasoning -- Research and Practice -- Index.
Record Nr. UNINA-9910495156803321
Sokołowski Andrzej  
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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