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Author Büscher, Christian, author

Title Mathematical literacy on statistical measures : a design research study / Christian Büscher ; with a foreword by Prof. Dr. Susanne Prediger
Published Wiesbaden, Germany : Springer Spektrum, 2018
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Description 1 online resource
Series Dortmunder Beiträge zur Entwicklung und Erforschung des Mathematikunterrichts ; Bd. 37
Dortmunder Beiträge zur Entwicklung und Erforschung des Mathematikunterrichts ; Bd. 37
Contents Intro; Foreword; Preface; Table of Contents; List of Figures; List of Tables; 1 Introduction; 2 Mathematical literacy in statistics; 2.1 The mathematizing and reflective sides of mathematical literacy; 2.2 Mathematical literacy in statistics; 2.2.1 Mathematizing as a statistical activity; 2.2.2 Mathematical literacy as an integrating framework for statistical literacy and reasoning; 2.3 Aims and goals of the mathematizing side of mathematical literacy; 2.3.1 Two mathematizing aims; 2.3.2 The mathematizing goal of mastering mathematizing activities
2.3.3 The mathematizing goal of developing mathematizing concepts2.4 Aims and goals of the reflective side of mathematical literacy; 2.4.1 Two reflective aims; 2.4.2 The reflective goal of mastering reflective activities; 2.4.3 The specification gap of reflection; 2.5 The concept of measure as the central learning content; 3 The mathematizing concept of measure; 3.1 A conceptualization of measure; 3.1.1 Measures and the mathematizing concept of average; 3.1.2 Conceptualizing measure; 3.2 Learners' intuitive situative measures; 3.3 Measures and Informal Statistical Inference
4 Developing concepts and mastering activities4.1 Learning-theoretical background; 4.1.1 The relationship between concepts and activities; 4.1.2 The importance of context; 4.1.3 Defining this thesis' central theoretical constructs; 4.2 The development of the mathematizing concept of measure; 4.2.1 A general learning trajectory towards the mathematizing goals; 4.2.2 The realization gap of reflection; 5 Summary and research questions; 6 Methodology; 6.1 Research framework; 6.1.1 Topic-specific Didactical Design Research; 6.1.2 Educational Reconstruction of reflective concepts
6.2 Methods of data collection6.3 Methods of data analysis; 7 Developing Typical; 7.1 Design of a teaching-learning arrangement for Cycle III; 7.1.1 Design principles for initiating mathematizing activity; 7.1.2 The Typical Antarctic Temperatures Problem; 7.1.3 The Arctic Sea Ice Problem; 7.2 Empirical reconstruction of students developing Typical; 7.2.1 Maria and Natalie: Developing with a focus on structuring; 7.2.2 Overarching effects for Maria and Natalie's learning processes; 7.2.3 Quanna and Rebecca: Developing with a focus on formalizing
7.2.4 Overarching effects for Quanna and Rebecca's learning processes7.3 Students' development of measures in Cycle III; 7.3.1 Connections to general measures; 7.3.2 The broadening of the contextual neighborhood; 7.3.3 Differences in richness of activity; 7.3.4 Unforeseen effects of design principles; 8 Students' reflective concepts; 8.1 Design of a teaching-learning arrangement for Cycle IV; 8.1.1 Refined design principles for initiating reflective activities; 8.1.2 The Antarctic Temperatures problem; 8.1.3 The Arctic Sea Ice Problem
Summary In most countries, only very limited time resources are available for statistics education within mathematics education. Thus, statistics education research needs to develop teaching-learning arrangements that are compact and applicable to classrooms. Christian Büscher designs and investigates a compact teaching-learning arrangement which aims at mathematical and reflective knowledge about statistics. Central results include the specification of the learning content of statistical measures, an empirical reconstruction of students' learning processes towards statistical measures, and the identification of students' situated reflections about mathematics within their learning processes
Bibliography Includes bibliographical references
Notes Online resource; title from PDF title page (EBSCO, viewed July 18, 2018)
Subject Mathematical statistics -- Study and teaching -- Research.
Mathematics -- Study and teaching -- Research.
Statistics -- Study and teaching -- Research.
Form Electronic book
ISBN 365823069X (electronic bk.)
9783658230692 (electronic bk.)