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  • BSZ  (13)
  • Dordrecht : Springer  (7)
  • Cham : Springer International Publishing  (6)
  • Hoboken : Taylor and Francis
  • Mathematics  (13)
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Author, Corporation
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Keywords
Subjects(RVK)
  • 1
    Online Resource
    Online Resource
    Scientific Communication Across the Iron Curtain (2016)
    Cham : Springer International Publishing
    Details
    ISBN: 9783319253466
    Language: English
    Pages: 1 Online-Ressource (XII, 109 p. 5 illus. in color)
    Edition: 1st ed. 2016
    Series Statement: SpringerBriefs in History of Science and Technology
    Series Statement: Springer eBook Collection
    Series Statement: History
    Series Statement: Springer eBook Collection
    Series Statement: History
    Parallel Title: Erscheint auch als Hollings, Christopher, 1982 - Scientific communication across the Iron Curtain
    RVK:
    NU 2430
    RVK:
    AK 28400
    RVK:
    AK 28300
    RVK:
    AK 16800
    RVK:
    SG 580
    Keywords: History ; Mathematics ; Ost-West-Konflikt ; Wissenschaftskommunikation ; Forschung ; Wissenschaftliche Literatur
    Abstract: This monograph provides a concise introduction to the tangled issues of communication between Russian and Western scientists during the Cold War. It details the extent to which mid-twentieth-century researchers and practitioners were able to communicate with their counterparts on the opposite side of the Iron Curtain. Drawing upon evidence from a range of disciplines, a decade-by-decade account is first given of the varying levels of contact that existed via private correspondence and conference attendance. Next, the book examines the exchange of publications and the availability of one side's work in the libraries of the other. It then goes on to compare general language abilities on opposite sides of the Iron Curtain, with comments on efforts in the West to learn Russian and the systematic translation of Russian work. In the end, author Christopher Hollings argues that physical accessibility was generally good in both directions, but that Western scientists were afflicted by greater linguistic difficulties than their Soviet counterparts whose major problems were bureaucratic in nature. This volume will be of interest to historians of Cold War science, particularly those who study communications and language issues. In addition, it will be an ideal starting pointing for anyone looking to know more about this fascinating area
    DOI: 10.1007/978-3-319-25346-6
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    BSZ
    MPI Ethno. Forsch.
  • 2
    Online Resource
    Online Resource
    Mathematical Modelling in Education Research and Practice : Cultural, Social and Cognitive Influences (2015)
    Cham : Springer International Publishing
    Details
    ISBN: 9783319182728
    Language: English
    Pages: Online-Ressource (XI, 613 p. 148 illus, online resource)
    Series Statement: International Perspectives on the Teaching and Learning of Mathematical Modelling
    Series Statement: SpringerLink
    Series Statement: Bücher
    Parallel Title: Druckausg. Mathematical modelling in education research and practice
    RVK:
    SN 400
    Keywords: Mathematics ; Education ; Education ; Mathematics ; Bildungsforschung ; Empirische Forschung ; Methodologie ; Bildungsforschung ; Empirische Forschung ; Methodologie
    Abstract: In this volume cultural, social and cognitive influences on the research and teaching of mathematical modelling are explored from a variety of theoretical and practical perspectives. The authors of the current volume are all members of the International Community of Teachers of Mathematical Modelling and Applications, the peak research body in this field. A distinctive feature of this volume is the high number of authors from South American countries. These authors bring quite a different perspective to modelling than has been showcased in previous books in this series, in particular from a cultural point of view. As well as recent international research, there is a strong emphasis on pedagogical issues including those associated with technology and assessment, in the teaching and learning of modelling. Applications at various levels of education are exemplified. The contributions reflect common issues shared globally, and represent emergent or on-going challenges
    Description / Table of Contents: Series Preface; Contents; Chapter 1: Cultural, Social, Cognitive and Research Influences on Mathematical Modelling Education; 1.1 Introduction; 1.2 Innovative Practices in Modelling Education Research and Teaching; 1.3 Research into, or Evaluation of, Teaching Practice; 1.4 Pedagogical Issues for Teaching and Learning of Modelling; 1.5 Influences of Technologies; 1.6 Assessment in Schools and Universities; 1.7 Applicability at Different Levels of Schooling, Vocational Education, and in Tertiary Education; 1.8 Conclusion; References
    Description / Table of Contents: Part I: Innovative Practices in Modelling Education Research and TeachingChapter 2: Mathematical Modelling as a Strategy for Building-Up Systems of Knowledge in Different Cultural Environments; 2.1 Introduction; 2.2 The Generation of Knowledge; 2.3 How About Modelling?; References; Chapter 3: The Meaning of the Problem in a Mathematical Modelling Activity; 3.1 Introduction; 3.2 Problems, Mathematical Modelling and Meaning; 3.3 Design of the Study; 3.4 The Meaning of the Problem and the Generation of Interpretants in Mathematical Modelling Activities
    Description / Table of Contents: 3.5 Discussion and Implications for Teaching, Learning and ResearchReferences; Chapter 4: Extending the Reach of the Models and Modelling Perspective: A Course-Sized Research Site; 4.1 Introduction; 4.2 Research Questions Addressed by the MMP; 4.3 Claims About the Nature of Knowing and Learning; 4.4 Research Tools and the Data Generated by Inquiry Within the MMP; 4.5 Extending the Questions; Expanding the Toolkit; 4.6 Some Assumptions and Conjectures; 4.6.1 Learning Progressions; 4.6.1.1 Alternative Model #1: Learning as Finding One´s Way Around in a Terrain
    Description / Table of Contents: 4.6.1.2 Alternative Model #2: An Evolutionary Model for the Development of Ideas4.6.2 Teaching Problem Solving and Heuristics; 4.7 Implications for Design; 4.8 Conclusion: Contributions of a Course-Sized Research Site; References; Chapter 5: Prescriptive Modelling - Challenges and Opportunities; 5.1 Introduction; 5.2 Examples; 5.2.1 Example 1: BMI (Body Mass Index); 5.2.2 Example 2: A-Paper (DIN) Formats; 5.2.3 Example 3: The Gini Coefficient of Income Inequality; 5.2.4 Conclusions from the Examples; 5.3 Teaching and Learning of Prescriptive Modelling; 5.4 Challenges and Opportunities
    Description / Table of Contents: ReferencesChapter 6: An Approach to Theory Based Modelling Tasks; 6.1 Introduction; 6.2 Theoretical Framework and Method; 6.2.1 Task Criteria; 6.2.2 Degree of Difficulty; 6.3 Design of the Pilot Study; 6.3.1 The Modelling Tasks; Toothpaste Item; Taj Mahal Item; Potato Item; 6.4 Results; 6.4.1 Toothpaste Item; 6.4.2 Taj Mahal Item; 6.4.3 Potato Item; 6.5 Discussion; 6.6 Outlook; References; Chapter 7: Facilitating Mathematisation in Modelling by Beginning Modellers in Secondary School; 7.1 Introduction; 7.2 Theoretical Frame; 7.3 Empirical Evidence; 7.4 Proposed Framework
    Description / Table of Contents: 7.5 Illustrative Example
    Description / Table of Contents: Series Preface, Gabriele Kaiser and Gloria StillmanChapter 1 Cultural, Social, Cognitive and Research Influences on Mathematical Modelling Education: Perspectives and Future Prospects, Gloria Stillman, Werner Blum, and Maria Salett Biembengut -- Part I Innovative Practices in Modelling Education Research and Teaching -- Chapter 2 Mathematical Modelling as a Strategy for Building-up Systems of Knowledge in Different Cultural Environments, Ubiratan D’Ambrosio -- Chapter 3 The Meaning of the Problem in a Mathematical Modelling Activity, Lourdes Maria Werle de Almeida and Karina Alessandra Pessoa da Silva -- Chapter 4 Extending the Reach of the Models and Modelling Perspective: A Course-Sized Research Site, Corey Brady, Richard Lesh and Serife Sevis -- Chapter 5 Prescriptive Modelling - Challenges and Opportunities, Mogens Niss -- Chapter 6 An Approach to Theory Based Modelling Tasks, Xenia-Rosemary Reit and Matthias Ludwig -- Chapter 7 Facilitating Mathematisation in Modelling by Beginning Modellers in Secondary School, Gloria Ann Stillman, Jill P. Brown and Vince Geiger -- Chapter 8 Authenticity in extra-curricular mathematics activities; researching authenticity as a social construct, Pauline Vos -- Chapter 9 The Teaching Goal and Oriented Learning of Mathematical Modelling courses, Mengda Wu, Dan Wang and Xiaojun Duan -- Part II Research into, or Evaluation of, Teaching and Learning -- Chapter 10 Modelling Competencies-Past Development and Further Perspectives, Gabriele Kaiser and Susanne Brand -- Chapter 11 How to Support Teachers to Give Feedback to Modelling Tasks Effectively? Results from a Teacher-Training-Study in the Co2CA Project, Michael Besser, Werner Blum and Dominik Leiss -- Chapter 12 A Reflection on Mathematical Modelling and Applications as a Field of Research: Theoretical Orientation and Diversity, Vince Geiger and Peter Frejd -- Chapter 13 Problem Solving Methods for Mathematical Modelling, Gilbert Greefrath -- Chapter 14 Improving Mathematical Modelling by Fostering Measurement Sense: An Intervention Study with Pre-service Mathematics Teachers, Maike Hagena -- Chapter 15 How do Students Share and Refine Models through Dual Modelling Teaching: The Case of Students who do not Solve Independently, Takashi Kawakami, Akihiko Saeki and Akio Matsuzaki -- Chapter 16 Exploring Interconnections between Real-World and Application Tasks: Case Study from Singapore, Dawn Ng and Gloria Ann Stillman -- Chapter 17 Mathematical Modelling Tasks and the Mathematical Thinking of Students, Bárbara Nilvada Palharini, Alvim Sousa Robim and Lourdes Maria Werle de Almeida -- Chapter 18 Measurement of Area and Volume in an Authentic Context: An Alternative Learning Experience through Mathematical Modelling, Santiago Manuel Rivera Quiroz , Sandra Milena Londoño Orrego and Carlos Mario Jaramillo López -- Chapter 19 Mathematical Modelling and Culture - An Empirical Study, Jhony Alexander Villa-Ocha and Mario J. Berrío -- Chapter 20 Mathematical Modelling of a Social Problem in Japan: The Income and Expenditure of an Electric Power Company, Noboru Yoshimura -- Part III Pedagogical Issues for Teaching and Learning -- Chapter 21 The Place of Mathematical Modelling in the System of Mathematics Education: Perspective and Prospect , Henry O.Pollak -- Chapter 22 Moving within a Mathematical Modelling Map, Rita Borromeo Ferri -- Chapter 23 Negotiating the Use of Mathematics in a Mathematical Modelling Project, Jussara de Loiola Araújo and Ilaine da Silva Campos -- Chapter 24 Moving Beyond a Single Modelling Activity, Jonas B Ärlebäck and Helen M. Doerr -- Chapter 25 The Possibility of Interdisciplinary Integration through Mathematical Modelling of Optical Phenomena, Jennifer Barboza, Luana Bassani, Luciano Lewandoski, and Lucilaine Abitante -- Chapter 26 Activation of Student Prior Knowledge to Build Linear Models in the Context of Modelling Pre-paid Electricity Consumption, José Luis Bossio Vélez, Sandra Milena Londoño Orrego, and Carlos Mario Jaramillo López -- Chapter 27 Mathematical Modellers’ Opinions on Mathematical Modelling in Upper Secondary Education, Peter Frejd -- Chapter 28 Modelling, Education, and the Epistemic Fallacy, Peter Galbraith -- Chapter 29 Reconsidering the Roles and Characteristics of Models in Mathematics Education, Toshikazu Ikeda and Max Stephens -- Chapter 30 Developing Statistical Numeracy: The Model Must Make Sense, Janeen Lamb and Jana Visnovska -- Chapter 31 Mathematical Modelling and Cognitive Load Theory: Approved or Disapproved? Jacob Perrenet and Bert Zwaneveld -- Chapter 32 Social-Critical Dimension of Mathematical Modelling, Milton Rosa and Daniel Clark Orey -- Chapter 33 Pedagogical Practices of Reflective Mathematical Modelling, Morgana Scheller, Paula Andrea Grawieski Civiero, and Fátima Peres Zago de Oliveira -- Chapter 34 Context Categories in Mathematical Modelling in Fundamentals of Calculus Teaching, Mara Kessler Ustra and Sandro Rogério Vargas Ustra -- Chapter 35 Applied Mathematical Problem Solving - Principles for Designing Small Realistic Problems, Dag Wedelin and Tom Adawi -- Part IV Influences of Technologies -- Chapter 36 Visualisation Tactics for Solving Real World Tasks, Jill Brown -- Chapter 37 Developing Modelling Competencies through the Use of Technology, Ruth Rodríguez Gallegos and Samantha Quiroz Rivera -- Chapter 38 Model Analysis with Digital Technology - a “Hybrid Approach”, Débora da Silva Soares -- Chapter 39 Collective Production with Mathematical Modelling in Digital Culture, Arlindo José de Souza Júnior, João Frederico da Costa Azevedo Meyer, Deive Barbosa Alves, Fernando da Costa Barbosa, Mário Lucio Alexandre, Douglas Carvalho de Menezes and Douglas Marin -- Part V Assessment in Schools and Universities -- Chapter 40 Learners’ Dealing with a Financial Applications-like Problem in a High-stakes School-leaving Mathematics Examination, Cyril Julie -- Chapter 41 Evidence of Reformulation of Situation Models: Modelling Tests before and after a Modelling Class for Lower Secondary School Students, Akio Matsuzaki and Masafumi Kaneko -- Part VI Applicability at Different Levels of Schooling, Vocational Education, and in Tertiary Education -- Chapter 42 Mathematical Modelling in the Teaching of Statistics in Undergraduate Courses, Celso Ribeiro Campos, Denise Helena Lombardo Ferreira, Otávio Roberto Jacobini and Maria Lúcia Lorenzetti Wodewotzki -- Chapter 43 Models and Modelling in an Integrated Physics and Mathematics Course, Angeles Domínguez, Jorge de la Garza, and Genaro Zavala -- Chapter 44 Research-based Modelling Teaching Activities: A case of Mathematical Positioning with GNSS, Xiaojun Duan , Dan Wang, and Mengda Wu -- Chapter 45 Mathematical Texts in a Mathematical Modelling Learning Environment in Primary School, Ana Virginia de Almeida Luna, Elizabeth Goumes Souza and Larissa Borges de Souza Lima -- Chapter 46 A Differential Equations Course for Engineers through Modelling and Technology, Ruth Rodríguez Gallegos -- Chapter 47 Contributions of Mathematical Modelling in Education of Youth and Adults, Jonson Ney Dias da Silva, Taise Sousa Santana and Carlos Henrique Carneiro -- Chapter 48 Pre-service Mathematics Teachers’ Experiences in Modelling Projects from a Socio-critical Modelling Perspective, Mónica E. Villarreal, Cristina B. Esteley and Silvina Smith -- Chapter 49 A Mathematical Modelling Challenge Program for J.H.S. Students in Japan, Akira Yanagimoto, Tetsushi Kawasaki and Noboru Yoshimura -- Part VII Modelling and Applications in the Lived Environment -- Chapter 50 Modelling the Wall: The Mathematics of the Curves on the Wall of Colégio Arquidiocesano in Ouro Preto, Daniel Orey and Milton Rosa -- List of Corresponding Authors -- Refereeing Process -- Index.
    Note: Description based upon print version of record
    DOI: 10.1007/978-3-319-18272-8
    URL: Volltext
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    BSZ
    MPI Ethno. Forsch.
  • 3
    Online Resource
    Online Resource
    L’Hôpital's Analyse des infiniments petits : An Annotated Translation with Source Material by Johann Bernoulli (2015)
    Cham : Springer International Publishing
    Details
    ISBN: 9783319171159
    Language: English
    Pages: Online-Ressource (LV, 311 p. 244 illus., 9 illus. in color, online resource)
    Series Statement: Science Networks. Historical Studies 50
    Series Statement: SpringerLink
    Series Statement: Bücher
    Parallel Title: Druckausg. L'Hôpital, Guillaume François Antoine de, 1661 - 1704 L'Hôpital's analyse des infiniments petits
    RVK:
    SG 600
    Keywords: Differential geometry ; History ; Mathematics ; Integral equations ; Global differential geometry ; Integral equations ; Mathematics ; L'Hôpital, Guillaume François Antoine de 1661-1704 Analyse des infiniments petits
    Abstract: Introduction -- L'Hôpital's Preface -- In Which We Give the Rules of this Calculus -- Use of the Differential Calculus for Finding the Tangents of All Kinds of Curved Lines -- Use of the Differential Calculus for Finding the Greatest and the Least Ordinates, to Which are Reduced Questions De maximis & minimis -- Use of the Differential Calculus for Finding Inflection Points and Cusps -- Use of the Differential Calculus for Finding Caustics by Reflection -- Use of the Differential Calculus for Finding Caustics by Refraction -- Use of the Differential Calculus for Finding the Points of Curved Lines that Touch an Infinity of Lines Given in Position, Whether Straight or Curved -- The Solution of Several Problems that Depend Upon the Previous Methods -- A New Method for Using the Differential Calculus with Geometric Curves, from Which we Deduce the Method of Messrs, Descartes, and Hudde -- Appendices
    Abstract: This monograph is an annotated translation of what is considered to be the world’s first calculus textbook, originally published in French in 1696. That anonymously published textbook on differential calculus was based on lectures given to the Marquis de l’Hôpital in 1691-2 by the great Swiss mathematician, Johann Bernoulli. In the 1920s, a copy of Bernoulli’s lecture notes was discovered in a library in Basel, which presented the opportunity to compare Bernoulli’s notes, in Latin, to l’Hôpital’s text in French. The similarities are remarkable, but there is also much in l’Hôpital’s book that is original and innovative. This book offers the first English translation of Bernoulli's notes, along with the first faithful English translation of l’Hôpital’s text, complete with annotations and commentary. Additionally, a significant portion of the correspondence between l’Hôpital and Bernoulli has been included, also for the fi rst time in English translation. This translation will provide students and researchers with direct access to Bernoulli’s ideas and l’Hôpital’s innovations. Both enthusiasts and scholars of the history of science and the history of mathematics will fi nd food for thought in the texts and notes of the Marquis de l’Hôpital and his teacher, Johann Bernoulli
    Description / Table of Contents: IntroductionL'Hôpital's Preface -- In Which We Give the Rules of this Calculus -- Use of the Differential Calculus for Finding the Tangents of All Kinds of Curved Lines -- Use of the Differential Calculus for Finding the Greatest and the Least Ordinates, to Which are Reduced Questions De maximis & minimis -- Use of the Differential Calculus for Finding Inflection Points and Cusps -- Use of the Differential Calculus for Finding Caustics by Reflection -- Use of the Differential Calculus for Finding Caustics by Refraction -- Use of the  Differential Calculus for Finding the Points of Curved Lines that Touch an Infinity of Lines Given in Position, Whether Straight or Curved -- The Solution of Several Problems that Depend Upon the Previous Methods -- A New Method for Using the Differential Calculus with Geometric Curves, from Which we Deduce the Method of Messrs, Descartes, and Hudde -- Appendices.
    Note: Description based upon print version of record
    DOI: 10.1007/978-3-319-17115-9
    URL: lizenzpflichtig
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
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    BSZ
    MPI Ethno. Forsch.
  • 4
    Online Resource
    Online Resource
    Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics (2014)
    Cham : Springer International Publishing
    Details
    ISBN: 9783319034522
    Language: English
    Pages: Online-Ressource (XVIII, 220 p, online resource)
    Series Statement: Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science 370
    Series Statement: SpringerLink
    Series Statement: Bücher
    Parallel Title: Druckausg. Montano, Ulianov Explaining beauty in mathematics: an aesthetic theory of mathematics
    RVK:
    SG 700
    Keywords: Philosophy (General) ; Aesthetics ; Logic ; Logic, Symbolic and mathematical ; Philosophy ; Philosophy (General) ; Aesthetics ; Logic ; Logic, Symbolic and mathematical ; Schönheit ; Mathematik ; Ästhetik
    Abstract: This book develops a naturalistic aesthetic theory that accounts for aesthetic phenomena in mathematics in the same terms as it accounts for more traditional aesthetic phenomena. Building upon a view advanced by James McAllister, the assertion is that beauty in science does not confine itself to anecdotes or personal idiosyncrasies, but rather that it had played a role in shaping the development of science. Mathematicians often evaluate certain pieces of mathematics using words like beautiful, elegant, or even ugly. Such evaluations are prevalent, however, rigorous investigation of them, of mathematical beauty, is much less common. The volume integrates the basic elements of aesthetics, as it has been developed over the last 200 years, with recent findings in neuropsychology as well as a good knowledge of mathematics. The volume begins with a discussion of the reasons to interpret mathematical beauty in a literal or non-literal fashion, which also serves to survey historical and contemporary approaches to mathematical beauty. The author concludes that literal approaches are much more coherent and fruitful, however, much is yet to be done. In this respect two chapters are devoted to the revision and improvement of McAllister’s theory of the role of beauty in science. These antecedents are used as a foundation to formulate a naturalistic aesthetic theory. The central idea of the theory is that aesthetic phenomena should be seen as constituting a complex dynamical system which the author calls the aesthetic as process theory. The theory comprises explications of three central topics: aesthetic experience (in mathematics), aesthetic value and aesthetic judgment. The theory is applied in the final part of the volume and is used to account for the three most salient and often used aesthetic terms often used in mathematics: beautiful, elegant and ugly. This application of the theory serves to illustrate the theory in action, but also to further discuss and develop some details and to showcase the theory’s explanatory capabilities
    Description / Table of Contents: IntroductionPart 1. Antecedents -- Chapter 1. On Non-literal Approaches -- Chapter 2. Beautiful, Literally -- Chapter 3. Ugly, Literally -- Chapter 4. Problems of the Aesthetic Induction -- Chapter 5. Naturalizing the Aesthetic Induction -- Part 2. An Aesthetics of Mathematics -- Chapter 6. Introduction to a Naturalistic Aesthetic Theory -- Chapter 7. Aesthetic Experience -- Chapter 8. Aesthetic Value -- Chapter 9. Aesthetic Judgement I: Concept -- Chapter 10. Aesthetic Judgement II: Functions -- Chapter 11. Mathematical Aesthetic Judgements -- Part 3. Applications -- Chapter 12. Case Analysis I: Beauty -- Chapter 13. Case Analysis II: Elegance -- Chapter 14. Case Analysis III: Ugliness, Revisited -- Chapter 15. Issues of Mathematical Beauty, Revisited.
    Note: Description based upon print version of record
    DOI: 10.1007/978-3-319-03452-2
    URL: Volltext
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    URL: Cover
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    BSZ
    MPI Ethno. Forsch.
  • 5
    Online Resource
    Online Resource
    Research Trends in Mathematics Teacher Education (2014)
    Cham : Springer International Publishing
    Details
    ISBN: 9783319025629
    Language: English
    Pages: Online-Ressource (XIV, 320 p. 31 illus., 13 illus. in color, online resource)
    Series Statement: Research in Mathematics Education
    Series Statement: SpringerLink
    Series Statement: Bücher
    Parallel Title: Druckausg. Research trends in mathematics teacher education
    RVK:
    SM 620
    Keywords: Mathematics ; Education ; Education ; Mathematics ; Aufsatzsammlung ; Mathematiklehrer ; Ausbildung ; Forschung
    Abstract: Research Trends in Mathematics Teacher Education Jane-Jane Lo, Keith R. Leatham, and Laura R. Van Zoest, editors Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching. Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers’ learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to student learning) and illustrate how knowledge can be accessed, assessed, and nurtured over the course of a teaching career. Commentaries provide context for current research while identifying areas deserving future study. Included among the topics: Teachers’ curricular knowledge Teachers’ personal and classroom mathematics Teachers’ learning journeys toward reasoning and sense-making Teachers’ transitions in noticing Teachers’ uses of a learning trajectory as a tool for mathematics lesson planning A unique and timely set of perspectives on the professional development of mathematics teachers at all stages of their careers, Research Trends in Mathematics Teacher Education brings clarity and practical advice to researchers as well as practitioners in this increasingly critical arena
    Description / Table of Contents: ForewordPreface -- Contributors -- I. Mathematical Knowledge for Teaching in Teacher Education -- Understanding Preservice Teachers' Curricular Knowledge -- Mathematical Knowledge for Teaching and its Specificity to High School Geometry Instruction -- Using Coordination Classes to Analyze Preservice Middle-Grades Teachers' Difficulties in Determining Direct Proportion Relationships -- A Processes Lens on a Beginning Teacher's Personal and Classroom Mathematics -- Commentary on Section 1: Mounting Progress on Understanding Mathematics Teacher Content Knowledge -- II. Beliefs and Identities in Mathematics Teacher Education -- Photo-Elicitation/Photovoice Interviews to Study Mathematics Teacher Identity -- Teachers, Attributions, and Students' Mathematical Work -- Teacher Identity and Tensions of Teaching Mathematics in High-Stakes Accountability Contexts -- Teachers' Learning Journeys Toward Reasoning and Sense Making -- Commentary on Section 2: Attending to Teachers in Mathematics Teacher Education Research -- III. Tools and Techniques for Supporting Teacher Learning -- Preservice Elementary Mathematics Teachers' Emerging Ability to Write Problems to Build on Children's Mathematics -- Examining the Relationship Between Preservice Elementary Teachers' Attitutudes Toward Mathematics and Professional Noticing Capacities -- Transitions in Prospective Mathematics Teacher Noticing -- Teachers' Uses of a Learning Trajectory as a Tool for Mathematics Lesson Planning -- Commentary on Section 3: Research on Teachers' Focusing on Children's Thinking: Teacher Noticing and Learning Trajectories -- Overall Commentary: Understanding and Changing Teachers -- Author Index -- Subject Index.
    Note: Description based upon print version of record
    DOI: 10.1007/978-3-319-02562-9
    URL: Volltext
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    BSZ
    MPI Ethno. Forsch.
  • 6
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    Online Resource
    Bayesian Argumentation : The practical side of probability (2013)
    Dordrecht : Springer
    Details
    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:
    CC 3300
    RVK:
    SK 830
    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.​.
    Note: Description based upon print version of record
    DOI: 10.1007/978-94-007-5357-0
    URL: Volltext
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  • 7
    Online Resource
    Online Resource
    Educational Interfaces between Mathematics and Industry : Report on an ICMI-ICIAM-Study (2013)
    Cham : Springer International Publishing
    Details
    ISBN: 9783319022703
    Language: English
    Pages: Online-Ressource (XV, 466 p. 62 illus., 50 illus. in color, online resource)
    Series Statement: New ICMI Study Series 16
    Series Statement: SpringerLink
    Series Statement: Bücher
    Parallel Title: Druckausg. Educational interfaces between mathematics and industry
    RVK:
    SM 600
    Keywords: Mathematics ; Education ; Education ; Mathematics ; Mathematics Study and teaching ; Congresses ; Academic-industrial collaboration Congresses
    Abstract: This book is the “Study Book” of ICMI-Study no. 20, which was run in cooperation with the International Council for Industry and Applied Mathematics (ICIAM). The editors were the co-chairs of the study (Damlamian, Straesser) and the organizer of the Study Conference (Rodrigues). The text contains a comprehensive report on the findings of the Study Conference, original plenary presentations of the Study Conference, reports on the Working Groups and selected papers from all over the world. This content was selected by the editors as especially pertinent to the study, each individual chapter representing a significant contribution to current research.
    Description / Table of Contents: Foreword I; Foreword II; Prologue; Contents; Part IDiscussion Document and Study Report; 1 Discussion Document; 1…Introduction; 1.1 Tentative Description of the Field; 1.2 Rationale for the Study; 2…The Role of Mathematics: Visibility and Black Boxes; 3…Examples of Use of Technology and Mathematics; 4…Communication and Collaboration; 5…Teaching and Learning of Industrial Mathematics: Making Industrial Mathematics More Visible; 6…Using Technology and Learning with Technology: Modelling and Simulation; 7…Teaching and Learning for Communication and Collaboration; 8…Curriculum and Syllabus Issues
    Description / Table of Contents: 9…Teacher Training10…Good Practices and Lessons to be Learned; 11…Research and Documentation; Reference; 2 Report on the Study; 1…Aim and Scope of the Study; 2…The Discussion Document; 3…The Contributions Offered; 4…The Study Conference; 5…Work After the Study Conference; References; Part IIPlenary and Invited Lectures; 3 Getting Math off the Ground: Applied Mathematics at Boeing; 1…Introduction; 2…The Boeing Company; 3…The Boeing Applied Mathematics Group; 4…Big and Little Examples; 5…Working with Our Engineering Colleagues, and Helping Them Work with Us; References
    Description / Table of Contents: 4 Mathematics in the Workplace: Issues and Challenges1…Findings from Ethnographic Studies; 2…Methods; 3…Techno-Mathematical Literacies in Manufacturing and Financial Industry; 4…Developing Techno-Mathematical Literacies; 5…Conclusions; References; 5 Mathematical Modeling Education is the Most Important Educational Interface Between Mathematics and Industry; 1…Mathematical Modeling is the Most Important Interface Between Mathematics and Industry; 2…Mathematical Modeling Education is the Most Important Educational Interface Between Mathematics and Industry
    Description / Table of Contents: 3…China's Efforts in Strengthening Mathematical Modeling Education and ResearchReference; 6 Models for Industrial Problems: How to Find and How to Use them---in Industry and in Education; References; 7 Interfacing Education and Research with Mathematics for Industry: The Endeavor in Japan; 1…A Brief Historical Observation for Mathematics in Japan; 1.1 Historical Comments; 1.2 Mathematics in Japan; 1.3 Applied and Industrial Mathematics in Japan; 2…Education and Research Hub for Mathematics for Industry; 2.1 Mathematics for Industry; 2.2 Graduate School of Mathematics, Kyushu University
    Description / Table of Contents: 2.3 Background About the Programs: From the Report by Nistep2.4 Various Activities; 3…Mext's 2009 Project ''Investigation and Estimation of Promotion of Cooperation of Mathematics and Mathematical Science with Other Fields''; 4…Foundation of the Research and Education Hub ''Institute of Mathematics for Industry'' in Kyushu University; 5…Asia-Pacific Consortium of Mathematics for Industry; Acknowledgments; Part IIIWG Education/Training with Industry Participation; 8 Education/Training with Industry Participation; 1…Introduction; 2…Theoretical Framework; 2.1 Informal Learning
    Description / Table of Contents: 2.2 Boundary Crossing
    Description / Table of Contents: Part I:Dicsussion document and Study ReportDiscussion Document (appeared in L’Enseignement Mathématique and ZDM 2009) -- Report on the Study (by the editors) -- Part II: Plenary and Invited Lectures -- Getting Math Off the Ground: Applied Mathematics at Boeing -- Mathematics in the Workplace: Issues and Challenges -- Mathematical Modelling Education is the Most Important Educational Interface between Mathematics and Industry -- Models for Industrial Problems: How to find and how to use them - in industry and in education -- Interfacing Educational & Research with Mathematics-for-Industry: The Endeavour in Japan -- Part III: WG Education/training with industry participation -- Report on the Working Group -- How is it Possible to Make Real-World Mathematics More Visible: Results From Italian Projects -- Project “Ways to More MINT-graduates” of the Bavarian Business Association with Focus on Mathematics at the University of Augsburg, Germany -- Mathematics in a Safety-Critical Work Context: The Case of Numeracy for Nursing -- Linking Professional Experiences With Academic Knowledge. The Construction of Statistical Concepts by Sales Manager Apprentices -- Learning Conversation in Mathematics Practice - School-Industry Partnerships as an Arena for Teacher Education -- The Threefold Dilemma of Missing Coherence -- The Project “Mathe-Meister” - A Mathematical Self Assessment Centre With Diagnostic Feedback For Vocational Trainees -- Part IV:WG University & academic technical/vocational education -- Report on the Working Group -- Mathematics for Engineering and Engineering for Mathematics -- Laboratory of Computational Mathematics: an interface between academia and industry -- Improving the industrial/mathematics interface -- Two masters on Mathematics for Industry at the Universities of Paris and of Pau -- Mathematics in Industry and Teachers Training -- Interfaces between Mathematics and Industry and the Use of Technology in Mathematics Education in India -- Modeling “Modeling”: Developing Habits of Mathematical Minds -- The evolution of graduate applied math courses in the Institute of Mathematics, University of the Philippines -- The Vertical Integration of Industrial Mathematics the WPI Experience -- Part V: WG Education in Schools -- Report on the Working Group -- Mathematical applications, modelling and technology as windows into industry based mathematical practice -- Mathematics Education and the Information Society -- Authentic Complex Modelling Problems in Mathematics Education -- Embedding Authentic Real World Tasks into Secondary Mathematics Curricula -- Drawing on understanding of workplace practice to inform design of general mathematics curricula -- Part VI: WG Mathematics-Industry Communication -- Report on the Working Group -- Engineering, Mathematics communication and Education: reflections on a personal experience -- A View on Mathematical Discourse in Research and Development -- Using Popular Science in a Mathematical Modeling Course -- Part VII:WG Technology issues -- Report on the Working Group -- Tackling the challenges of computational mathematics education of engineers -- Computational modelling in science, technology, engineering and mathematics education -- Incorporating the Ideas and Methods of Mathematical Modelling into Calculus Teaching -- Part VIII:WG The mathematics-industry interface -- Report on the Working Group -- Part IX: Selected Papers linked to more than one Working Group -- Using spreadsheets in the finance industry -- MITACS ACCELERATE: A Case Study of a Successful Industrial Research Internship Program -- A Meta-analysis of Mathematics Teachers of the GIFT Program Using Success Case Methodology -- Cultivating an Interface Through Collaborative Research between Engineers in Nippon Steel and Mathematicians in University -- An Introduction to CUMCM: China/Contemporary Undergraduate Mathematical Contest in Modeling -- Part X:Conclusion -- Conclusion.
    Note: Description based upon print version of record
    DOI: 10.1007/978-3-319-02270-3
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  • 8
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    Online Resource
    Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method (2013)
    Dordrecht : Springer
    Details
    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:
    SK 130
    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
    DOI: 10.1007/978-94-007-6091-2
    URL: Volltext
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  • 9
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    Online Resource
    Practical mathematics in a commercial metropolis : Mathematical life in late 16th century Antwerp (2013)
    Dordrecht : Springer
    Details
    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:
    SG 590
    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.​.
    Note: Description based upon print version of record
    DOI: 10.1007/978-94-007-5721-9
    URL: Volltext
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  • 10
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    Online Resource
    Visual Mathematics and Cyberlearning (2013)
    Dordrecht : Springer
    Details
    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:
    SM 603
    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. .
    Note: Description based upon print version of record
    DOI: 10.1007/978-94-007-2321-4
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  • 11
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    Online Resource
    Handbook of risk theory : epistemology, decision theory, ethics, and social implications of risk (2012)
    Dordrecht : Springer | [Ann Arbor] : ProQuest
    Details
    ISBN: 9789400714335
    Language: English
    Pages: 1 Online-Ressource (xix, 1187 Seiten)
    Series Statement: Springer reference
    DDC: 302.12
    RVK:
    CC 7262
    RVK:
    SK 980
    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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  • 12
    Book
    Book
    Morse theoretic methods in nonlinear analysis and in symplectic topology : [proceedings of the NATO Advanced Institute on Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology, Montréal, Canada, July 2004] (2006)
    Dordrecht : Springer
    Details
    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:
    SK 350
    Keywords: Morse theory Congresses ; Symplectic and contact topology Congresses ; Konferenzschrift ; Nichtlineare Analysis ; Symplektische Geometrie ; Morse-Theorie
    URL: Cover
    URL: Inhaltstext
    URL: Inhaltstext
    URL: http://www.loc.gov/catdir/enhancements/fy0663/2006382646-d.html
    URL: http://www.loc.gov/catdir/enhancements/fy0824/2006382646-t.html
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  • 13
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    Online Resource
    Internal Logic : Foundations of Mathematics from Kronecker to Hilbert (2002)
    Dordrecht : Springer
    Details
    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:
    CC 2000
    RVK:
    SK 130
    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
    DOI: 10.1007/978-94-017-0083-2
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