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  • 1
    UID:
    almahu_BV043706461
    Umfang: 1 Online-Ressource (vii, 33 Seiten).
    ISBN: 978-3-319-31625-3
    Serie: ICME-13 topical surveys
    Anmerkung: Open Access
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-31624-6
    Sprache: Englisch
    Fachgebiete: Mathematik
    RVK:
    Schlagwort(e): Mathematikunterricht ; Wahrscheinlichkeitsrechnung
    URL: Volltext  (kostenfrei)
    URL: Volltext  (kostenfrei)
    Mehr zum Autor: Engel, Joachim 1954-
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 2
    Online-Ressource
    Online-Ressource
    Cham :Springer International Publishing :
    UID:
    almafu_9958131482902883
    Umfang: 1 online resource (VII, 33 p. 1 illus.)
    Ausgabe: 1st ed. 2016.
    ISBN: 9783319316253 , 3319316257
    Serie: ICME-13 Topical Surveys,
    Inhalt: This book summarizes the vast amount of research related to teaching and learning probability that has been conducted for more than 50 years in a variety of disciplines. It begins with a synthesis of the most important probability interpretations throughout history: intuitive, classical, frequentist, subjective, logical propensity and axiomatic views. It discusses their possible applications, philosophical problems, as well as their potential and the level of interest they enjoy at different educational levels. Next, the book describes the main features of probabilistic thinking and reasoning, including the contrast to classical logic, probability language features, the role of intuitions, as well as paradoxes and the relevance of modeling. It presents an analysis of the differences between conditioning and causation, the variability expression in data as a sum of random and causal variations, as well as those of probabilistic versus statistical thinking. This is followed by an analysis of probability’s role and main presence in school curricula and an outline of the central expectations in recent curricular guidelines at the primary, secondary and high school level in several countries. This book classifies and discusses in detail the three different research periods on students’ and people’s intuitions and difficulties concerning probability: early research focused on cognitive development, a period of heuristics and biases programs, and the current period marked by a multitude of foci, approaches and theoretical frameworks.
    Anmerkung: Main Topics You Can Find in this “ICME-13 Topical Survey” -- Introduction -- Survey on the State-of-the-art -- Summary and Looking Ahead. , English
    Weitere Ausg.: ISBN 9783319316246
    Weitere Ausg.: ISBN 3319316249
    Sprache: Englisch
    Schlagwort(e): Online-Ressource.
    URL: OAPEN
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 3
    Online-Ressource
    Online-Ressource
    Cham : Springer Nature | Cham :Springer International Publishing :
    UID:
    edoccha_9958131482902883
    Umfang: 1 online resource (VII, 33 p. 1 illus.)
    Ausgabe: 1st ed. 2016.
    ISBN: 3-319-31625-7
    Serie: ICME-13 Topical Surveys,
    Inhalt: This book summarizes the vast amount of research related to teaching and learning probability that has been conducted for more than 50 years in a variety of disciplines. It begins with a synthesis of the most important probability interpretations throughout history: intuitive, classical, frequentist, subjective, logical propensity and axiomatic views. It discusses their possible applications, philosophical problems, as well as their potential and the level of interest they enjoy at different educational levels. Next, the book describes the main features of probabilistic thinking and reasoning, including the contrast to classical logic, probability language features, the role of intuitions, as well as paradoxes and the relevance of modeling. It presents an analysis of the differences between conditioning and causation, the variability expression in data as a sum of random and causal variations, as well as those of probabilistic versus statistical thinking. This is followed by an analysis of probability’s role and main presence in school curricula and an outline of the central expectations in recent curricular guidelines at the primary, secondary and high school level in several countries. This book classifies and discusses in detail the three different research periods on students’ and people’s intuitions and difficulties concerning probability: early research focused on cognitive development, a period of heuristics and biases programs, and the current period marked by a multitude of foci, approaches and theoretical frameworks.
    Anmerkung: Main Topics You Can Find in this “ICME-13 Topical Survey” -- Introduction -- Survey on the State-of-the-art -- Summary and Looking Ahead. , English
    Weitere Ausg.: ISBN 3-319-31624-9
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 4
    Online-Ressource
    Online-Ressource
    Cham :Springer International Publishing :
    UID:
    kobvindex_HPB988798142
    Umfang: 1 online resource (vii, 33 pages 1 illustration)
    ISBN: 3319316249 , 9783319316246
    Serie: ICME-13 Topical Surveys,
    Inhalt: This book summarizes the vast amount of research related to teaching and learning probability that has been conducted for more than 50 years in a variety of disciplines. It begins with a synthesis of the most important probability interpretations throughout history: intuitive, classical, frequentist, subjective, logical propensity and axiomatic views. It discusses their possible applications, philosophical problems, as well as their potential and the level of interest they enjoy at different educational levels. Next, the book describes the main features of probabilistic thinking and reasoning, including the contrast to classical logic, probability language features, the role of intuitions, as well as paradoxes and the relevance of modeling. It presents an analysis of the differences between conditioning and causation, the variability expression in data as a sum of random and causal variations, as well as those of probabilistic versus statistical thinking. This is followed by an analysis of probability's role and main presence in school curricula and an outline of the central expectations in recent curricular guidelines at the primary, secondary and high school level in several countries. This book classifies and discusses in detail the three different research periods on students' and people's intuitions and difficulties concerning probability: early research focused on cognitive development, a period of heuristics and biases programs, and the current period marked by a multitude of foci, approaches and theoretical frameworks.
    Anmerkung: Main Topics You Can Find in this "ICME-13 Topical Survey" -- Introduction -- Survey on the State-of-the-art -- Summary and Looking Ahead. , English.
    In: OAPEN (Open Access Publishing in European Networks), OAPEN
    Weitere Ausg.: Printed edition: 9783319316246
    Sprache: Englisch
    Schlagwort(e): Electronic books. ; Electronic books. ; Online-Ressource.
    URL: OAPEN
    URL: Full text available: 2016.  (Available in OAPEN (Open Access Publishing in European Networks).)
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 5
    UID:
    gbv_1785443712
    Umfang: 1 online resource (40 pages)
    ISBN: 9783319316253
    Serie: ICME-13 Topical Surveys Ser.
    Inhalt: Intro -- Main Topics You Can Find in This "ICME-13 Topical Survey" -- Contents -- Research on Teaching and Learning Probability -- 1 Introduction -- 2 Survey on the State of the Art -- 2.1 The Nature of Chance and Probability -- 2.1.1 Intuitive View of Probability -- 2.1.2 Classical Meaning -- 2.1.3 Frequentist Meaning -- 2.1.4 Propensity Meaning -- 2.1.5 Logical Meaning -- 2.1.6 Subjective Meaning -- 2.1.7 Axiomatic Theory -- 2.1.8 Summary of Different Views -- 2.1.9 Different Views of Probability in School Curricula -- 2.2 Probabilistic Knowledge and Reasoning -- 2.2.1 What Is Probabilistic Reasoning? -- 2.2.2 Paradoxes and Counterintuitive Results -- 2.2.3 Causality and Conditioning -- 2.2.4 Random and Causal Variation -- 2.2.5 Probabilistic Versus Statistical Reasoning -- 2.3 Probability in School Curricula -- 2.3.1 Probability in Primary School -- 2.3.2 Probability at the Middle and High School Levels -- 2.3.3 Fundamental Probabilistic Ideas -- 2.4 Intuitions and Learning Difficulties -- 2.4.1 Piagetian and Post-piagetian Periods -- 2.4.2 Heuristics and Biases Program -- 2.4.3 Contemporary Research -- 2.5 Technology and Educational Resources -- 2.5.1 Replicating Trials and Storing Data -- 2.5.2 Representing and Analysing Data -- 2.5.3 Probability Technological Models -- 2.5.4 Hiding a Model -- 2.6 Education of Teachers -- 2.6.1 Components in Teacher Knowledge -- 2.6.2 Effective Ways to Train Teachers -- 3 Summary and Looking Ahead -- Reference.
    Anmerkung: Description based on publisher supplied metadata and other sources
    Weitere Ausg.: ISBN 9783319316246
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe ISBN 9783319316246
    Sprache: Englisch
    Mehr zum Autor: Engel, Joachim 1954-
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
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