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  • BSZ  (11)
  • Dordrecht : Springer  (7)
  • Rotterdam : SensePublishers  (4)
  • Mathematics  (11)
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  • 1
    ISBN: 9789462093508
    Language: English
    Pages: Online-Ressource (VIII, 317 p, online resource)
    Series Statement: Series Preface
    Series Statement: Learner's perspective study 4
    Series Statement: Educational Research E-Books Online, Collection 2005-2017, ISBN: 9789004394001
    Series Statement: SpringerLink
    Series Statement: Bücher
    Parallel Title: Erscheint auch als Student Voice in Mathematics Classrooms around the World
    RVK:
    Keywords: Mathematics Study and teaching ; Education ; Education
    Abstract: Preliminary Material /Berinderjeet Kaur , Glenda Anthony , Minoru Ohtani and David Clarke -- The Learner’s Perspective Study: Attending to Student Voice /Glenda Anthony , Berinderjeet Kaur , Minoru Ohtani and David Clarke -- Spoken Mathematics as an Instructional Strategy: The Public Discourse of Mathematics Classrooms in Different Countries /David Clarke , Li Hua Xu and May Ee Vivien Wan -- Students Speaking Mathematics: Practices and Consequences for Mathematics Classrooms in Different Countries /David Clarke , Li Hua Xu and May Ee Vivien Wan -- Students at the Front: Examples from a Beijing Classroom /Yiming Cao , Kan Guo , Liping Ding and Ida Ah Chee Mok -- Participation of Students in Content-Learning Classroom Discourse: A Study of Two Grade 8 Mathematics Classes in Singapore /Berinderjeet Kaur -- Martina’s Voice /Florenda Gallos Cronberg and Jonas Emanuelsson -- What Do Students Attend to? Students’ Task-Related Attention in Swedish Settings /Rimma Nyman and Jonas Emanuelsson -- Students and Their Teacher in a Didactical Situation: A Case Study /Jarmila Novotná and Alena Hospešová -- Developing Mathematical Proficiency and Democratic 143 Agency through Participation – An Analysis of Teacher-Student Dialogues in a Norwegian 9th Grade Classroom /Ole Kristian Bergem and Birgit Pepin -- Matches or Discrepancies: Student Perceptions and Teacher Intentions in Chinese Mathematics Classrooms /Rongjin Huang and Angela T. Barlow -- What Really Matters to Students? A Comparison between Hong Kong and Singapore Mathematics Lessons /Ida Ah Chee Mok , Berinderjeet Kaur , Yan Zhu and King Woon Yau -- Student Perceptions of the ‘Good’ Teacher and ‘Good’ Learner in New Zealand Classrooms /Glenda Anthony -- The LPS Research Design /David Clarke -- Author Index /Berinderjeet Kaur , Glenda Anthony , Minoru Ohtani and David Clarke -- Subject Index /Berinderjeet Kaur , Glenda Anthony , Minoru Ohtani and David Clarke.
    Abstract: \' We highly recommend th ...
    Description / Table of Contents: ""Student Voice in Mathematics Classrooms around the World""; ""SERIES PREFACE""; ""TABLE OF CONTENTS""; ""ACKNOWLEDGEMENTS""; ""CHAPTER ONE: The Learner�s Perspective Study: Attending to Student Voice""; ""INTRODUCTION""; ""Mathematical Discourse in the Classroom""; ""Students� Participatory Practices within the Classroom""; ""Students� Perceptions of the Classroom and Teacher""; ""CONCLUSION""; ""REFERENCES""; ""CHAPTER TWO: Spoken Mathematics as an Instructional Strategy: The Public Discourse of Mathematics Classrooms in Different Countries""; ""SPOKEN MATHEMATICS IN THE CLASSROOM""
    Description / Table of Contents: ""LANGUAGE IN MATHEMATICS TEACHING/LEARNING""""STUDYING SPOKEN MATHEMATICS IN THE CLASSROOM""; ""PUBLIC MATHEMATICAL ORALITY: WHO GETS TO SPEAK PUBLICLY AND DO THEY TALK MATHEMATICS?""; ""SPOKEN MATHEMATICAL FLUENCY AS A VALUED LEARNING OUTCOME""; ""CONCLUSIONS""; ""NOTES""; ""REFERENCES""; ""CHAPTER THREE: Students Speaking Mathematics: Practices and Consequences for Mathematics Classrooms in Different Countries""; ""STUDENT-STUDENT MATHEMATICAL TALK""; ""CONNECTING MATHEMATICAL TALK AND LEARNING""; ""MATHEMATICAL DISCOURSE IN THE CLASSROOM FROM THE PERSPECTIVE OF THE LEARNER""
    Description / Table of Contents: ""PUBLIC MATHEMATICAL DISCOURSE""""THE SIGNIFICANCE OF STUDENT-STUDENT INTERACTIONS""; ""Spoken Mathematics in the Classroom: Key Points Summary""; ""SPOKEN MATHEMATICAL FLUENCY AS A VALUED LEARNING OUTCOME""; ""GENERAL DISCUSSION""; ""CONCLUSIONS""; ""ACKNOWLEDGEMENT""; ""NOTES""; ""REFERENCES""; ""CHAPTER FOUR: Students at the Front: Examples from a Beijing Classroom""; ""INTRODUCTION""; ""RESEARCH DESIGN AND METHODOLOGY""; ""RESEARCH PROCEDURE""; ""STATISTICS AND ANALYSIS""; ""SUMMARY OF FINDINGS""; ""There is Rich Variety in the Types of Students� Presentations at the Front""
    Description / Table of Contents: ""One or More Students Give Presentations Concerning One Problem""""The Main Form of Students� Presentations at the Front is Oral Explanation of the Approaches""; ""The Main Evaluation Form is Teacher-Student Mutual Comment""; ""DISCUSSION""; ""REFERENCES""; ""CHAPTER FIVE: Participation of Students in Content-Learning Classroom Discourse: A Study of Two Grade 8 Mathematics Classes in Singapore""; ""INTRODUCTION""; ""LITERATURE REVIEW""; ""METHODOLOGY""; ""Method""; ""Subjects""; ""Data Analysis""; ""DATA AND FINDINGS""; ""How Often Do Students Get an Opportunity to Engage in Public Talk?""
    Description / Table of Contents: ""What Are the Characteristics of Teacher-Student Public Talk?""""What Are the Teachers� Orientations of Discourse (Conceptual or Calculational)?""; ""Do Students Initiate any Public Talk with Their Teachers or Peers? If So, What Was the Purpose of the Talk?""; ""DISCUSSION""; ""During Content-Learning Classroom Discourse How Often Do Students Get an Opportunity to Engage in Public Talk?""; ""During Content-Learning Discourse What Are the Characteristics of Teacher-Student Public Talk?""
    Description / Table of Contents: ""During Content-Learning Discourse What Are the Teachers� Orientations of Discourse (Conceptual or Calculational)?""
    Note: Includes bibliographical references and indexes
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  • 2
    ISBN: 9789462092990
    Language: English
    Pages: Online-Ressource (VIII, 317 p, online resource)
    Series Statement: Mathematics Teaching and Learning
    Series Statement: Educational Research E-Books Online, Collection 2005-2017, ISBN: 9789004394001
    Series Statement: SpringerLink
    Series Statement: Bücher
    Parallel Title: Erscheint auch als Proficiency and Beliefs in Learning and Teaching Mathematics: Learning from Alan Schoenfeld and Günter Törner
    RVK:
    Keywords: Mathematics Study and teaching ; Education ; Education
    Abstract: Preliminary Material /Yeping Li and Judit N. Moschkovich -- Proficiency and Beliefs in Learning and Teaching Mathematics /Yeping Li and Judit N. Moschkovich -- About Alan H. Schoenfeld and His Work /Hugh Burkhardt and Yeping Li -- About Günter Törner and His Work /Hans Heinrich Brungs and Yeping Li -- Developing Problem Solving Skills in Elementary School /Kristina Reiss , Anke M. Lindmeier , Petra Barchfeld and Beate Sodian -- Transmissive and Constructivist Beliefs of In-Service Mathematics Teachers and of Beginning University Students /Christine Schmeisser , Stefan Krauss , Georg Bruckmaier , Stefan Ufer and Werner Blum -- Building on Schoenfeld’s Studies of Metacognitive Control towards Social Metacognitive Control /Ming Ming Chiu , Karrie A. Jones and Jennifer L. Jones -- The CAMTE Framework /Pessia Tsamir , Dina Tirosh , Esther Levenson , Ruthi Barkai and Michal Tabach -- Integrating Noticing into the Modeling Equation /Miriam Gamoran Sherin , Rosemary S. Russ and Bruce L. Sherin -- Teaching as Problem Solving /Ilana Seidel Horn -- Researching the Sustainable Impact of Professional Development Programmes on Participating Teachers’ Beliefs /Stefan Zehetmeier and Krainer Krainer -- Capturing Mathematics Teachers’ Professional Development in Terms of Beliefs /Bettina Roesken-Winter -- Mathematicians and Elementary School Mathematics Teachers - Meetings and Bridges /Jason Cooper and Abraham Arcavi -- Methodological Issues in Research and Development /Hugh Burkhardt -- A Mathematical Perspective on Educational Research /Cathy Kessel -- Issues Regarding the Concept of Mathematical Practices /Judit N. Moschkovich -- Looking Back and Ahead /Günter Törner -- Encore /Alan H. Schoenfeld -- Author Biographies /Yeping Li and Judit N. Moschkovich -- Index /Yeping Li and Judit N. Moschkovich.
    Abstract: Efforts to improve mathematics education have led educators and researchers to not only study the nature of proficiency, beliefs, and practices in mathematics learning and teaching, but also identify and assess possible influences on students’ and teachers’ proficiencies, beliefs, and practices in learning and teaching mathematics. The complexity of these topics has fascinated researchers from various backgrounds, including psychologists, cognitive or learning scientists, mathematicians, and mathematics educators. Among those researchers, two scholars with a similar background—Alan Schoenfeld in the United States and Günter Törner in Germany, are internationally recognized for their contributions to these topics. To celebrate their 65th birthdays in 2012, this book brought together many scholars to reflect on how their own work has built upon and continued Alan and Günter’s work in mathematics education. The book contains 17 chapters by 33 scholars from six different education systems. This collection describes recent research and provides new insights into these topics of interest to mathematics educators, researchers, and graduate students who wish to learn about the trajectory and direction of research on these issues
    Description / Table of Contents: Proficiency and Beliefs in Learning and Teaching Mathematics: Learning from Alan Schoenfeld and Günter Törner; TABLE OF CONTENTS; ACKNOWLEDGEMENTS; PART I: INTRODUCTION; 1. PROFICIENCY AND BELIEFS IN LEARNING AND TEACHING MATHEMATICS: An Introduction; INTRODUCTION; STRUCTURE OF THE BOOK; REFERENCES; AFFILIATIONS; 2. ABOUT ALAN H. SCHOENFELD AND HISWORK; INTRODUCTION; RESEARCH; Mathematical problem solving, learning, and teaching; Studies of the nature and development of mathematical proficiency; Research on teaching and teachers' decision-making and proficiency
    Description / Table of Contents: Improving educational practice through researchStandards and curricula; Assessment; "What works?"; Diversity in mathematics education; Research methodologies to improve the field and to have systematic impact; ADVANCING EDUCATIONAL RESEARCH AND PRACTICE AS A LEADER; NURTURING A NEW GENERATION OF SCHOLARS AS AN EDUCATOR; NOTES; REFERENCES; AFFILIATIONS; 3. ABOUT GÜNTER TÖRNER AND HISWORK; INTRODUCTION; SCHOLARLYWORK AS A MATHEMATICIAN; Prime segments and the classification of rank one chain rings and cones; Extensions; Structure of chain rings; Right chain domains
    Description / Table of Contents: Discrete mathematics, applied mathematicsSCHOLARLYWORK AS A MATHEMATICS EDUCATOR; Mathematical problem solving; Mathematical beliefs; Mathematical teachers' professional development; ACCOMPLISHMENTS AS A LEADER AND EDUCATOR; SUMMARY; ACKNOWLEDGEMENTS; REFERENCES; AFFILIATIONS; PART II: PROFICIENT PERFORMANCE, BELIEFS,AND METACOGNITION IN MATHEMATICALTHINKING, PROBLEM SOLVING,AND LEARNING; 4. DEVELOPING PROBLEM SOLVING SKILLS IN ELEMENTARY SCHOOL: The Case of Data Analysis, Statistics, and Probability; INTRODUCTION; SCIENTIFIC THINKING AND REASONING; PROBLEM SOLVING AND SCIENTIFIC REASONING
    Description / Table of Contents: PROBABILITY AND CHANCE IN EVIDENCE-BASED SCIENTIFIC REASONINGRESEARCH QUESTIONS; SAMPLE AND METHOD; RESULTS; Understanding of probability concepts, base rates, and sampling procedures; Problem-solving; Basic problems of evidence-based reasoning; Strategical decision-making; DISCUSSION; REFERENCES; AFFILIATIONS; 5. TRANSMISSIVE AND CONSTRUCTIVIST BELIEFS OF IN-SERVICE MATHEMATICS TEACHERS AND OF BEGINNING UNIVERSITY STUDENTS; INTRODUCTION; THE COACTIV STUDY; THE BELIEFS OF TEACHERS IN THE COACTIV COMPETENCEMODEL; Definition and conceptualization of beliefs; Epistemological beliefs
    Description / Table of Contents: Beliefs on learning and teaching of mathematicsIntegrative view on beliefs (according to Voss et al., 2013a); RESEARCH QUESTION; METHOD; Sample; Instrument; RESULTS; SUMMARY AND DISCUSSION; REFERENCES; AFFILIATIONS; 6. BUILDING ON SCHOENFELD'S STUDIES OF METACOGNITIVE CONTROL TOWARDS SOCIAL METACOGNITIVE CONTROL; INTRODUCTION; METACOGNITIVE CONTROL; Schoenfeld: Metacognitive control during mathematics problem solving; Benefits of metacognitive control; Improved problem solving processes; Improved outcomes; Challenges of metacognitive control; Metacognitive demands; Inaccurate evaluations
    Description / Table of Contents: Poor self-scaffolding
    Note: Includes bibliographical references and index
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  • 3
    ISBN: 9789400723214 , 1283944987 , 9781283944984
    Language: English
    Pages: Online-Ressource (X, 250 p, online resource)
    Series Statement: Mathematics Education in the Digital Era 1
    Series Statement: SpringerLink
    Series Statement: Bücher
    Parallel Title: Druckausg. Martinovic, Dragana Visual Mathematics and Cyberlearning
    RVK:
    Keywords: Visualization ; Computer software ; Mathematics ; Education ; Education ; Visualization ; Computer software ; Mathematics ; Education Philosophy
    Abstract: The first volume in this new Springer series explores innovative ways of learning and doing mathematics to make it more appealing to the Net Generation. This generation consists of visual learners who thrive when surrounded with new technologies and whose diverse needs can be met by a variety of cyber tools. In their search for novel ways of studying, such as collaboration with peers and multitasking by using multimedia, the Internet, and other Information and Communication Technologies, they learn mathematics by playing games online, watching and sharing presentations on YouTube, exploring and creating Java applets of mathematics simulations and exchanging thoughts over the instant chat tools. This volume presents mathematics teaching and learning in a way that resonates with these new learners: as a contemporary subject that is engaging, exciting and enlightening. It offers educators insight into how they can make meaningful use of the dynamic, interactive, collaborative, and visual nature of new learning environments while having a deeper understanding of their potential advantages and limitations. This volume:- Bridges the gap between Net Generation learners and mathematics education- Presents conceptual frameworks for research in this area- Explores research data that shed a light on innovative theories and practices in the field of visual mathematics and cyberlearning.
    Description / Table of Contents: Visual Mathematics and Cyberlearning; Introduction; Mathematics Education in the Digital Era (MEDEra) Series; Visual Mathematics and Cyberlearning - The First Book in the MEDEra Series; Contents; Patterns of Collaboration: Towards Learning Mathematics in the Era of the Semantic Web; Introduction; Cyberlearning: From Web 1.0 to Web 2.0; Patterns of Collaboration: The Case of the MiGen and Metafora Projects; Collaboration in Exploratory Learning Environments; The MiGen System and the Metafora Platform; Collaboration Within the MiGen System and the Metafora Platform
    Description / Table of Contents: Student Collaboration and the TeacherCyberlearning: From Web 2.0 to Web 3.0; The Likely Impact of Web 3.0 on Systems Such as MiGen and Metafora; Conclusion; References; Collaborative Mathematics Learning in Online Environments; Introduction; Collaborative Online Learning of Research-Level Mathematics; Why Talk About the Research Level?; Overview of Online Collaboration at the Research Level; The Polymath Projects; The MathOverflow Website; Collaborative Online Learning: Undergraduate and School-Age Mathematics; Mathematics - Stack Exchange
    Description / Table of Contents: An Excerpt of an Exchange on Mathematics - Stack ExchangeA Global Learning Project; Virtual Math Teams; Analysis and Contextualization; Computer Supported Collaborative Learning; The Computer Moderated Communication Model; Networked Learning, and Collaboration Versus Cooperation; Self-Regulated Learning; Discussion; References; The Integration of Mathematics Discourse, Graphical Reasoning and Symbolic Expression by a Virtual Math Team; Mathematical Practices; Data Collection and Methodology; Setting Up the Mathematical Analysis; Excerpt 1: Constitution of a New Math Task
    Description / Table of Contents: Excerpt 2: Co-construction of a Method for Counting SticksExcerpt 3: Collective Noticing of a Pattern of Growth; Excerpt 4: Resolution of Referential Ambiguity via Visual Proof; Concluding the Mathematical Analysis; Excerpt 5: Re-initiating the Discussion of the Algebraic Formula; Excerpt 6: Co-reflection on What the Team has Achieved So Far; Excerpt 7: Overcoming the Problem of Overlapping Sticks; Excerpt 8: Derivation of the Formula for the Number of Sticks; Discussion; Visibility of the Production Process; Persistent Presence of Contributions
    Description / Table of Contents: Methods for Referencing Relevant Artifacts in the Shared Visual FieldCoordination of Whiteboard Visualizations and Chat Narratives; Past and Future Relevancies Implied by Shared Mathematical Artifacts; Conclusion; References; Investigating the Mathematical Discourse of Young Learners Involved in Multi-Modal Mathematical Investigations: The Case of Haptic Technologies; Background and Rationale; Dynamic Geometry; Haptic Technology; Merging Fields; Theoretical Perspectives; Multi-modal Environment Design; Technical Specifications; Design of Mathematical Activities; Classification of Solids
    Description / Table of Contents: Planar Intersections
    Description / Table of Contents: 1. Keith Jones, Eirini Geraniou, & Thanassis Tiropanis: Patterns of collaboration: Towards learning mathematics in the era of the semantic web -- 2. Gorjan Alagic & Mara Alagic: Collaborative mathematics learning in online environments -- 3. Murat Perit Cakir & Gerry Stahl: The integration of mathematics discourse, Graphical reasoning and symbolic expression by a Virtual Math Team -- 4. Beste Güçler, Stephen Hegedus, Ryan Robidoux, & Nicholas Jackiw: Investigating the Mathematical Discourse of Young Learners Involved in Multi-Modal Mathematical Investigations: The Case of Haptic Technologies -- 5. Dragan Trninic & Dor Abrahamson: Embodied interaction as designed mediations of conceptual performance -- 6. Luis Radford: Sensuous Cognition -- 7. George Gadanidis & Immaculate Namukasa: New media and online mathematics learning for teachers -- 8. Ann LeSage: Web-based video clips: A supplemental resource for supporting pre-service elementary mathematics teachers -- 9. Dragana Martinovic, Viktor Freiman, & Zekeriya Karadag: Visual mathematics and cyberlearning in view of Affordance and Activity Theories. .
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  • 4
    Online Resource
    Online Resource
    Dordrecht : Springer
    ISBN: 9789400760912
    Language: English
    Pages: Online-Ressource (XV, 389 p. 35 illus, online resource)
    Series Statement: Logic, Argumentation & Reasoning, Interdisciplinary Perspectives from the Humanities and Social Sciences 1
    Series Statement: SpringerLink
    Series Statement: Bücher
    Parallel Title: Druckausg. Cellucci, Carlo, 1940 - Rethinking logic
    RVK:
    Keywords: Philosophy (General) ; Logic ; Computer science ; Philosophy ; Philosophy (General) ; Logic ; Computer science ; Computer science ; Logic ; Philosophy ; Philosophy (General) ; Logik ; Interdisziplinäre Forschung
    Abstract: This volume examines the limitations of mathematical logic and proposes a new approach to logic intended to overcome them. To this end, the book compares mathematical logic with earlier views of logic, both in the ancient and in the modern age, including those of Plato, Aristotle, Bacon, Descartes, Leibniz, and Kant. From the comparison it is apparent that a basic limitation of mathematical logic is that it narrows down the scope of logic confining it to the study of deduction, without providing tools for discovering anything new. As a result, mathematical logic has had little impact on scientific practice. Therefore, this volume proposes a view of logic according to which logic is intended, first of all, to provide rules of discovery, that is, non-deductive rules for finding hypotheses to solve problems. This is essential if logic is to play any relevant role in mathematics, science and even philosophy. To comply with this view of logic, this volume formulates several rules of discovery, such as induction, analogy, generalization, specialization, metaphor, metonymy, definition, and diagrams. A logic based on such rules is basically a logic of discovery, and involves a new view of the relation of logic to evolution, language, reason, method and knowledge, particularly mathematical knowledge. It also involves a new view of the relation of philosophy to knowledge. This book puts forward such new views, trying to open again many doors that the founding fathers of mathematical logic had closed historically
    Description / Table of Contents: PrefaceChapter 1. Introduction -- Part I. Ancient Perspectives -- Chapter 2. The Origin of Logic -- Chapter 3. Ancient Logic and Science -- Chapter 4. The Analytic Method -- Chapter 5. The Analytic-Synthetic Method -- Chapter 6. Aristotle's Logic: The Deductivist View -- Chapter 7. Aristotle's Logic: The Heuristic View -- Part II. Modern Perspectives -- Chapter 8. The Method of Modern Science -- Chapter 9. The Quest for a Logic of Discovery -- Chapter 10. Frege's Approach to Logic -- Chapter 11. Gentzen's Approach to Logic -- Chapter 12. The Limitations of Mathematical Logic -- Chapter 13. Logic, Method, and the Psychology of Discovery -- Part III: An Alternative Perspective -- Chapter 14. Reason and Knowledge -- Chapter 15. Reason, Knowledge and Emotion -- Chapter 16. Logic, Evolution, Language and Reason -- Chapter 17. Logic, Method and Knowledge -- Chapter 18. Classifying and Justifying Inference Rules -- Chapter 19. Philosophy and Knowledge -- Part IV: Rules of Discovery -- Chapter 20. Induction and Analogy -- Chapter 21. Other Rules of Discovery -- Chapter 22. Conclusion -- References -- Name Index -- Subject Index.
    Note: Includes bibliographies and index
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  • 5
    Online Resource
    Online Resource
    Dordrecht : Springer
    ISBN: 9789400753570 , 1283936097 , 9781283936095
    Language: English
    Pages: Online-Ressource (VIII, 215 p. 23 illus, digital)
    Series Statement: Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science 362
    Series Statement: SpringerLink
    Series Statement: Bücher
    Parallel Title: Buchausg. u.d.T. Bayesian argumentation
    RVK:
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    Keywords: Philosophy (General) ; Genetic epistemology ; Computer simulation ; Applied linguistics ; Social sciences Methodology ; Applied psychology ; Philosophy ; Philosophy (General) ; Genetic epistemology ; Computer simulation ; Applied linguistics ; Social sciences Methodology ; Applied psychology ; Reasoning (Psychology) ; Congresses ; Logic ; Congresses ; Thought and thinking ; Congresses ; Probabilities ; Congresses ; Bayesian statistical decision theory ; Congresses ; Konferenzschrift ; Argumentationstheorie ; Bayes-Entscheidungstheorie
    Abstract: Relevant to, and drawing from, a range of disciplines, the chapters in this collection show the diversity, and applicability, of research in Bayesian argumentation. Together, they form a challenge to philosophers versed in both the use and criticism of Bayesian models who have largely overlooked their potential in argumentation. Selected from contributions to a multidisciplinary workshop on the topic held in Lund, Sweden, in autumn 2010, the authors count legal scholars and cognitive scientists among their number, in addition to philosophers. They analyze material that includes real-life court cases, experimental research results, and the insights gained from computer models.The volume provides a formal measure of subjective argument strength and argument force, robust enough to allow advocates of opposing sides of an argument to agree on the relative strengths of their supporting reasoning. With papers from leading figures such as Mike Oaksford and Ulrike Hahn, the book comprises recent research conducted at the frontiers of Bayesian argumentation and provides a multitude of examples in which these formal tools can be applied to informal argument. It signals new and impending developments in philosophy, which has seen Bayesian models deployed in formal epistemology and philosophy of science, but has yet to explore the full potential of Bayesian models as a framework in argumentation. In doing so, this revealing anthology looks destined to become a standard teaching text in years to come.
    Description / Table of Contents: Bayesian Argumentation; Foreword; Contents; Bayesian Argumentation: The Practical Side of Probability; 1 Introduction; 2 The Bayesian Approach to Argumentation; 3 Chapter Overview; 3.1 The Bayesian Approach to Argumentation; 3.2 The Legal Domain; 3.3 Modeling Rational Agents; 3.4 Theoretical Issues; References; Part I: The Bayesian Approach to Argumentation; Testimony and Argument: A Bayesian Perspective; 1 Introduction; 2 Testimony, Argumentation and the `Third Way´; 3 Some Problems for MAXMIN; 4 A Bayesian Perspective; 5 Message Content and Message Source: Exploring Norms and Intuitions
    Description / Table of Contents: 6 Rehousing Argumentation Schemes Within a Bayesian Framework7 Concluding Remarks; References; Why Are We Convinced by the Ad Hominem Argument?: Bayesian Source Reliability and Pragma-Dialectical Discussion Rules; 1 Types of the Argumentum Ad Hominem; 2 The Pragma-Dialectical Approach; 3 The Bayesian Approach; 4 An Experiment on the Argument Ad Hominem; 5 Method; 6 Results and Discussion; 7 Conclusion; Appendix: Experimental Materials; Abusive; Circumstantial; Tu Quoque; Control; References; 1 Introduction; 2 Survey of Relevant Uncertainties; Part II: The Legal Domain
    Description / Table of Contents: A Survey of Uncertainties and Their Consequences in Probabilistic Legal Argumentation2.1 The Example Case; 2.2 Factual Uncertainty; 2.3 Normative Uncertainty; 2.4 Moral Uncertainty; 2.5 Empirical Uncertainty; 2.6 Interdependencies; 3 Desirable Attributes for a Probabilistic Argument Model to Assist Litigation Planning; 3.1 Assessment of Utilities; 3.2 Easy Knowledge Engineering; 3.3 Conflict Resolution and Argument Weights; 4 Sample Assessment of Graphical Models; 4.1 A Graphical Structure of the Analysis; 4.2 Casting the Example into a Graphical Model; 4.3 Generic Bayesian Networks
    Description / Table of Contents: 5 Carneades5.1 A Brief Introduction to the Carneades Model; 5.2 Carneades Bayesian Networks; 5.3 Carneades Bayesian Networks with Probabilistic Assumptions; 5.4 Introduction to Argument Weights; 6 Extension of Carneades to Support Probabilistic Argument Weights; 7 Desiderata for Future Developments; 7.1 Weights Subject to Argumentation; 7.2 Inform Weights from Values; 8 Conclusions and Future Work; References; Was It Wrong to Use Statistics in R v Clark? A Case Study of the Use of Statistical Evidence in Criminal Courts; 1 Introduction; 2 Factual Background; 3 Existing Explanations
    Description / Table of Contents: 3.1 The Flaws in Meadow´s Calculation3.2 The Psychological Effect of the Statistical Evidence; 3.3 The Prosecutor´s Fallacy; 3.4 Bayes´ Theorem; 3.5 The Insignificance of the SIDS Statistics; 4 The Contrastive Explanation; 5 Conclusion; References; Part III: Modeling Rational Agents; A Bayesian Simulation Model of Group Deliberation and Polarization; 1 Introduction; 2 The Laputa Simulation Framework; 3 The Underlying Bayesian Model; 4 Interpreting Laputa; 5 Do Bayesian Inquirers Polarize?; 6 Conclusion and Discussion; Appendix; References
    Description / Table of Contents: Degrees of Justification, Bayes´ Rule, and Rationality
    Description / Table of Contents: Introduction: Frank Zenker.​- Part 1 -- The Bayesian Approach to Argumentation -- Chapter 1. Testimony and Argument: A Bayesian Perspective: Ulrike Hahn, Mike Oaksford and Adam J.L. Harris -- Chapter 2. Why are we convinced by the Ad Hominem Argument?: Source Reliability or Pragma-Dialectics: Mike Oaksford and Ulrike Hahn.- Part 2. The Legal Domain.-Chapter 3. A survey of uncertainties and their consequences in Probabilistic Legal Argumentation: Matthias Grabmair and Kevin D. Ashley -- Chapter 4. What went wrong in the case of Sally Clark? A case-study of the use of Statistical Evidence in Court: Amid Pundik -- Part 3. Modeling Rational Agents -- Chapter 5. A Bayesian Simulation Model of Group Deliberation: Erik J. Olsson -- Chapter 6. Degrees of Justification, Bayes' Rule, and Rationality: Gregor Betz -- Chapter 7. Argumentation with (Bounded) Rational Agents: Robert van Rooij and Kris de Jaeghery -- Part 4. Theoretical Issues -- Chapter 8. Reductio, Coherence, and the Myth of Epistemic Circularity: Tomoji Shogenji -- Chapter 9. On Argument Strength: Niki Pfeiffer -- Chapter 10 -- Upping the Stakes and the Preface Paradox: Jonny Blamey -- References.​.
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  • 6
    ISBN: 9789400757219
    Language: English
    Pages: Online-Ressource (XV, 258 p. 135 illus, digital)
    Series Statement: Archimedes, New Studies in the History and Philosophy of Science and Technology 31
    Series Statement: SpringerLink
    Series Statement: Bücher
    Parallel Title: Buchausg. u.d.T. Meskens, Ad, 1962 - Practical mathematics in a commercial metropolis
    RVK:
    Keywords: Science History ; Architecture ; Science, general ; Science History ; Architecture ; Coignet, Michel, 1549-1623 ; Heyns, Peeter, 1537-1598 ; Mathematics ; Belgium ; Antwerp ; History ; 16th century ; Angewandte Mathematik ; Geschichte
    Abstract: Describes the development and the ultimate demise of the practice of mathematics in sixteenth century Antwerp. Against the background of the violent history of the Religious Wars the story of the practice of mathematics in Antwerp is told through the lives of two protagonists Michiel Coignet and Peeter Heyns. The book touches on all aspects of practical mathematics from teaching and instrument making to the practice of building fortifications of the practice of navigation.?
    Abstract: This volumedescribes the development and the ultimate demise of the practice of mathematics in sixteenth century Antwerp. Against the background of the violent history of the Religious Wars the story of the practice of mathematics in Antwerp is told through the lives of two protagonists Michiel Coignet and Peeter Heyns. The book touches on all aspects of practical mathematics from teaching and instrument making to the practice of building fortifications of the practice of navigation.​
    Description / Table of Contents: 1 Preface -- 2 Introduction -- 3 The Family Coignet -- 4 Peeter Heyns and the Nymphs of the Laurel Tree -- 5 The Arithmetic Teacher and his School -- 6 The Antwerp arithmetic books -- 7 Winegauging -- 8 Instrumentmakers -- 9 The Art of Navigation -- 10 Mapping the World -- 11 Looking towards the Stars -- 12 Ballistics and fortifications -- 13 Conclusion -- Appendices -- Index.​.
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  • 7
    ISBN: 9789400714335
    Language: English
    Pages: 1 Online-Ressource (xix, 1187 Seiten)
    Series Statement: Springer reference
    DDC: 302.12
    RVK:
    RVK:
    Keywords: Decision making ; Economic theory ; Game theory ; Industrial safety ; Operations research ; Philosophy ; Philosophy and science ; Quality control ; Reliability ; Philosophy of Science. ; Economic Theory/Quantitative Economics/Mathematical Methods. ; Game Theory, Economics, Social and Behav. Sciences. ; Operations Research/Decision Theory. ; Philosophy of Technology. ; Quality Control, Reliability, Safety and Risk.
    Note: Enthält die Bände 1 und 2 der Printausgabe. , Literaturangaben
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  • 8
    Online Resource
    Online Resource
    Rotterdam : SensePublishers
    ISBN: 9789460915093
    Language: English
    Pages: Online-Ressource (X, 171p, digital)
    Series Statement: SpringerLink
    Series Statement: Bücher
    Series Statement: Educational Research E-Books Online, Collection 2005-2017, ISBN: 9789004394001
    Parallel Title: Buchausg. u.d.T.
    DDC: 372.7
    RVK:
    Keywords: Mathematics ; Education ; Algebra Study and teaching (Primary) ; Academic achievement ; Algebra Study and teaching (Middle school) ; Mathematical ability Testing ; Prediction of occupational success ; Mathematics—Study and teaching . ; Education ; Mathematics
    Abstract: Preliminary Material -- Introduction and Overview -- Diagnostic -- The Prescriptive Approach -- ARA Unit Tests -- Interventions -- Specific Content Area Interventions – Whole Numbers -- Specific Content Area Interventions – Decimals (Unit II) -- Specific Content Area Interventions – Fractions (Unit III) -- Specific Content Area Interventions – Percents (Unit IV) -- Specific Content Area Interventions – Number Concepts and Basic Geometry (Unit V) -- Specific Content Area Interventions – Solving Basic Word Problems -- Specific Content Area Interventions – Pre-Algebra Concepts -- Appendix A. Post Algebra Readiness Assessment – (Version 2A) (ARA) -- Appendix B. Post Algebra Readiness Assessment – (Version 2B–C) (ARA) -- Answer Key Post Algebra Readiness Assessment(ARA) -- References.
    Abstract: Research has shown that algebra is the doorway and gateway for future success of students in many aspects, including high school graduation, attending and success in college, and professional earning power. And the most important key to students’success in algebra is their readiness. This book is not only a program that addresses algebra readiness; it is also a fundamental reform effort, based on the National Mathematics Advisory Panel’s (NMAP’s) Final Report (spring, 2008). The book approaches mathematic skills deficiencies on an individual basis, much like an IEP addresses the individual needs of a student with disabilities. The Reaching Algebra Readiness (RAR) process consists of four components: (1) Diagnostic, assessing student’s mastery of the skills needed to take algebra; (2) Prescriptive, developing an individualized plan to address specific math deficiencies; (3) Intervention, utilizing tools and resources (parental involvement, effective teaching strategies, etc), to improve students’ mathematics skills; and (4) Drills and Effective Teachings Strategies, mathematics is a discipline and, simply, there is no way of avoiding practice and drilling in reaching algebra readiness, which can be enhanced significantly by implementing proven effective teaching strategies. The Reaching Algebra Readiness (RAR) process and the related materials presented in this book will be revolutionary in helping all students acquire the math skills needed for success in algebra and beyond
    Description / Table of Contents: Reaching Algebra Readiness (RAR); TABLE OF CONTENTS; FOREWORD; CHAPTER 1: INTRODUCTION AND OVERVIEW; HOW TO BEST USE THIS BOOK; CHAPTER 2: DIAGNOSTIC; ALGEBRA READINESS ASSESSMENT (ARA) - (VERSION 1A); Directions; I. Whole numbers; II. Decimals; III. Fractions (Simplify answers if needed); IV. Percents; V. Number concepts and basic geometry; VI. Word problems; VII. Basic integers and pre-algebra; ALGEBRA READINESS ASSESSMENT (ARA) - (VERSION 1B); Directions; I. Whole numbers; II. Decimals; III. Fractions (Simplify answers if needed); IV. Percents; V. Number concepts and basic geometry
    Description / Table of Contents: VI. Word problemsVII. Basic integers and pre-algebra; ALGEBRA READINESS ASSESSMENT (ARA) - (VERSION 1A-C); Directions; I. Whole numbers; II. Decimals; III. Fractions (Simplify answers if needed); IV. Percents; V. Number concepts and basic geometry; VI. Word problems; VII. Basic integers and pre-algebra; ANSWER KEY: ALGEBRA READINESS ASSESSMENT (ARA); CHAPTER 3: THE PRESCRIPTIVE APPROACH; Individualized Math Intervention Plan (IMIP); QUICK REFERENCE SUMMARY SHEET - ALGEBRA READINESS PROCESS; Flow Chart - Reaching Algebra Readiness Process; CHAPTER 4: ARA UNIT TESTS
    Description / Table of Contents: Mastery (Speed and Accuracy) of Multiplication TablesRAR - UNIT TEST (1A) WHOLE NUMBERS; Directions; RAR - UNIT TEST (1B) MASTERY (SPEED AND ACCURACY) OF MULTIPLICATION TABLES; Directions; RAR - UNIT TEST (2) DECIMALS; Directions; RAR - UNIT TEST (3) FRACTIONS; Directions; RAR - UNIT TEST (4) PERCENTS; Directions; RAR - UNIT TEST (5) NUMBER CONCEPTS AND BASIC GEOMETRY; Directions; RAR - UNIT TEST (6) WORD PROBLEMS; Directions; RAR - UNIT TEST (7) PRE-ALGEBRA CONCEPTS; Directions; ANSWER KEYS - RAR UNIT TESTS; GRADING SCALE - ARA UNIT TESTS; CHAPTER 5: INTERVENTIONS; Parent Involvement
    Description / Table of Contents: Sample Parent Letter ISample Parent Letter II; After School Tutoring; Private Tutoring and Other Parent Funded Assistance; Drills and Review Exercises; Internet, Computers, and Other Technological Devices; Quiz/Test Supplements; Mentoring; Response to Intervention; CHAPTER 6: SPECIFIC CONTENT AREA INTERVENTIONS - WHOLE NUMBERS; WHOLE NUMBERS; Adding and Subtracting Whole Numbers; Multiplication of Whole Numbers; Division of Whole Numbers; REVIEW1.1 AND 1.2; Directions; (REVIEW1.1 AND 1.2); Directions; SPEED TRAIL (1.3 AND 1.4) - WHOLE NUMBERS; Directions; ONE-MINUTE DRILL; Directions
    Description / Table of Contents: BLANK FORM FOR TEACHERS/PARENTSDirections; MULTIPLICATION OF WHOLE NUMBER (1.3); Directions; DIVIDING WHOLE NUMBERS (1.4); Directions; DIVIDING WHOLE NUMBER (1.4); Directions; WHOLE NUMBERS (1.1, 1.2, 1.3, 1.4); Find Your Birthday; RELATED SPEED DRILLS (1.1, 1.2, 1.3, 1.4); Directions; RAR - POST UNIT ASSESSMENT #1 WHOLE NUMBERS; RAR - POST UNIT ASSESSMENT (1B) MASTERY (SPEED AND ACCURACY) OF MULTIPLICATION TABLES; Directions; Solution Intervention #1-1; Solution Intervention #1-2; Solution Intervention #1-3; Solution Intervention #1-4; Solution Intervention #1-7; Solution Invention #1-8
    Description / Table of Contents: Solution Intervention #1-9
    Note: Description based upon print version of record
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  • 9
    Online Resource
    Online Resource
    Rotterdam : SensePublishers
    ISBN: 9789460913341
    Language: English
    Pages: Online-Ressource (IV, 229p, digital)
    Series Statement: SpringerLink
    Series Statement: Bücher
    Series Statement: Dutch Design in Mathematics Education 5
    Series Statement: Educational Research E-Books Online, Collection 2005-2017, ISBN: 9789004394001
    Series Statement: Springer eBook Collection
    Series Statement: Humanities, Social Science and Law
    Parallel Title: Buchausg. u.d.T. Secondary algebra education
    RVK:
    Keywords: Mathematics ; Education ; Algebra Study and teaching ; Mathematics—Study and teaching . ; Education ; Mathematics ; Mathematikunterricht ; Algebra
    Abstract: Preliminary Material /Paul Drijvers -- Preface /Paul Drijvers -- Algebra Education: Exploring Topics and Themes /Paul Drijvers , Aad Goddijn and Martin Kindt -- Algebra from Ahmes to applet /Aad Goddijn -- From arithmetic to algebra /Truus Dekker and Maarten Dolk -- Patterns and formulas /Paul Drijvers , Truus Dekker and Monica Wijers -- Restrictions in algebra /David Webb and Mieke Abels -- Algebra in function /Michiel Doorman and Paul Drijvers -- Principles of practice /Martin Kindt -- Algebra and technology /Paul Drijvers , Peter Boon and Martin van Reeuwijk -- Algebra in science and engineering /Henk Van Der Kooij and Aad Goddijn -- Index /Paul Drijvers.
    Abstract: Nowadays, algebra education is subject to worldwide scrutiny. Different opinions on its goals, approaches and achievements are at the heart of debates among teachers, educators, researchers and decision makers. What should the teaching of algebra in secondary school mathematics look like? Should it focus on procedural skills or on algebraic insight? Should it stress practice or integrate technology? Do we require formal proofs and notations, or do informal representations suffice? Is algebra in school an abstract subject, or does it take its relevance from application in (daily life) contexts? What should secondary school algebra education that prepares for higher education and professional practice in the twenty-first century look like? This book addresses these questions, and aims to inform in-service and future teachers, mathematics educators and researchers on recent insights in the domain, and on specific topics and themes such as the historical development of algebra, the role of productive practice, and algebra in science and engineering in particular. The authors, all affiliated with the Freudenthal Institute for Science and Mathematics Education in the Netherlands, share a common philosophy, which acts as a—sometimes nearly invisible—backbone for the overall view on algebra education: the theory of realistic mathematics education. From this point of departure, different perspectives are chosen to describe the opportunities and pitfalls of today’s and tomorrow’s algebra education. Inspiring examples and reflections illustrate current practice and explore the unknown future of algebra education to appropriately meet students’ needs
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  • 10
    ISBN: 1402042728 , 9781402042720 , 1402042736
    Language: English
    Pages: XIV, 462 S , graph. Darst.
    Series Statement: NATO science series 216
    Series Statement: Sub-series 2, Mathematics, physics and chemistry
    Parallel Title: Online-Ausg. Biran, Paul Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology
    DDC: 510
    RVK:
    Keywords: Morse theory Congresses ; Symplectic and contact topology Congresses ; Konferenzschrift ; Nichtlineare Analysis ; Symplektische Geometrie ; Morse-Theorie
    URL: Cover
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  • 11
    Online Resource
    Online Resource
    Dordrecht : Springer
    ISBN: 9789401700832
    Language: English
    Pages: Online-Ressource (X, 251 p) , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science 310
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    RVK:
    RVK:
    Keywords: Science Philosophy ; Logic, Symbolic and mathematical ; Philosophy and science. ; Mathematics ; Logic ; Mathematical logic. ; Science—Philosophy. ; Arithmetik ; Logischer Schluss
    Abstract: Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kronecker's general arithmetic of forms (polynomials) together with Fermat's infinite descent is put to use in an internal consistency proof. The view is developed in the context of a radical arithmetization of mathematics and logic and covers the many-faceted heritage of Kronecker's work, which includes not only Hilbert, but also Frege, Cantor, Dedekind, Husserl and Brouwer. The book will be of primary interest to logicians, philosophers and mathematicians interested in the foundations of mathematics and the philosophical implications of constructivist mathematics. It may also be of interest to historians, since it covers a fifty-year period, from 1880 to 1930, which has been crucial in the foundational debates and their repercussions on the contemporary scene
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