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  • 1
    ISBN: 9789460919459 , 1283908441 , 9781283908443
    Language: English
    Pages: Online-Ressource (digital)
    Series Statement: SpringerLink
    Series Statement: Bücher
    Series Statement: Educational Research E-Books Online, Collection 2005-2017, ISBN: 9789004394001
    Parallel Title: Erscheint auch als Educational Research and Professional Learning in Changing Times: The MARBLE Experience
    Keywords: Teachers Training of ; Education ; Education
    Abstract: Preliminary Material -- Background and the Marble Project -- Introduction -- Methodology -- Teachers’ Pedagogical Content Knowledge -- Student Attitude -- Student Performance -- Teachers’ Perspectives on the Marble Project -- Case Studies -- Case Study 1: A Framework for Numeracy: Working Collaboratively -- Case Study 2: An Inquiry Approach to Developing Mathematical Thinking and Communication -- Case Study 3: Algebraic Representations of Proportional Relationships -- Case Study 4: Beginning Inference in Year 7 -- Case Study 5: Enrichment Problem Solving for High Ability Middle School Students -- Case Study 6: Decimal Division: Student Responses to “3 ÷ 0.5” -- Case Study 7: Positive Experiences with Negative Numbers -- Case Study 8: Placing Fractions on a Number Line -- Writing for Teachers -- Proportional Reasoning in Middle School Mathematics -- Developing Proportional Reasoning with Ratios: Making a Paint Chart -- Estimating Tree Heights for Primary School -- Estimating Tree Heights for Middle School -- Beginning Inference in a Measurement Context -- Exploring Variation in a Manufacturing Context: Licorice -- An Inquiry About Pi as a Ratio -- Measurement and Science: Activities for the Middle Years -- Reflections -- Reflections -- References -- Appendices -- Index.
    Abstract: Educational Research and Professional Learning in Changing Times reports three dimensions of a longitudinal Australian study with the ultimate aim of improving the mathematics learning outcomes for all middle school students in preparation for the quantitative literacy requirements of the 21st century. It was also hoped to improve the prospects for students with the interest to study further mathematics. The project provided professional learning opportunities for teachers, carried out case studies in individual schools, produced well-documented classroom activities in line with the aims, and measured teacher and student change over three years. The three main sections of the book cover the formal data collection and analysis, the qualitative analysis of the case studies, and some of the professional learning activities for teachers. The final section reports the reflections of the authors, especially in relation to the changing educational environment in which the project took place. Many other countries are experiencing similar educational change. The book will supplement other resources for graduate programs for pre-service and in-service mathematics teachers by modeling both a realistic approach to quantitative and qualitative research and a range of practical classroom activities. It will also assist those providing professional learning for teachers in the field unrelated to formal research, as two thirds of the content is based on classroom experiences with mathematics
    Description / Table of Contents: Educational Research and Professional Learning in Changing Times: The MARBLE Experience; TABLE OF CONTENTS; PREFACE; Summary of Content; SECTION 1: BACKGROUND AND THE MARBLE PROJECT; CHAPTER 1: INTRODUCTION; Background for Teacher Professional Learning; Background for Program Content; Educational Environment for the MARBLE Project; CHAPTER 2: METHODOLOGY; Sample; Instruments; Professional Learning Needs of Teachers; Professional Learning; Data Analysis; CHAPTER 3: TEACHERS' PEDAGOGICAL CONTENT KNOWLEDGE
    Description / Table of Contents: Teachers' Knowledge of their Students as Learners and How to Intervene: A Fraction Problem1Teachers' Initial Knowledge for Teaching Mathematics2; Teacher Change over the Time of the MARBLE Project3; CHAPTER 4: STUDENT ATTITUDE4; Factor Analysis; Rasch Analysis; CHAPTER 5: STUDENT PERFORMANCE; Average Performance of All students by Year Level5; Average Performance of Matched Students; Examples of Student Improvement; CHAPTER 6: TEACHERS' PERSPECTIVES ON THE MARBLE PROJECT; Exit Survey; Teacher Interviews; Beyond the Framework: Teachers' Overall Impressions; Conclusion; SECTION 2: CASE STUDIES
    Description / Table of Contents: CHAPTER 7: CASE STUDY 1: A FRAMEWORK FOR NUMERACY: WORKING COLLABORATIVELY6CHAPTER 8 : CASE STUDY 2: AN INQUIRY APPROACH TO DEVELOPING MATHEMATICAL THINKING AND COMMUNICATION7; CHAPTER 9: CASE STUDY 3: ALGEBRAIC REPRESENTATIONS OF PROPORTIONAL RELATIONSHIPS8; APPENDIX TO CHAPTER 9: CARDS FOR TASK; CHAPTER 10: CASE STUDY 4: BEGINNING INFERENCE IN YEAR 79; The Lessons; The Student Interviews; Summary; CHAPTER 11 :CASE STUDY 5: ENRICHMENT PROBLEM SOLVING FOR HIGH ABILITY MIDDLE SCHOOL STUDENTS10; Background; The Intervention; Summary
    Description / Table of Contents: CHAPTER 12: CASE STUDY 6: DECIMAL DIVISION: STUDENT RESPONSES TO "3 ÷ 0.5"CHAPTER 13: CASE STUDY 7: POSITIVE EXPERIENCES WITH NEGATIVE NUMBERS11; Familiar Contexts; Number Lines; Representing Difference on the Number Line; Operations with Negative and Positive Numbers; Multiplication and Division; Some Additional Problems; Reflections on the Time Spent; Alternative Approaches; Conclusions; CHAPTER 14: CASE STUDY 8: PLACING FRACTIONS ON A NUMBER LINE; Finding Numbers between 2 and 6; Linking Area and Number Line Representations of Fractions; Assessment Task; Teacher Questionnaire Responses
    Description / Table of Contents: ConclusionSECTION 3: WRITING FOR TEACHERS; CHAPTER 15: PROPORTIONAL REASONING IN MIDDLE SCHOOL MATHEMATICS12; Percent and Hats; Cubes, Constants and Variables; Rates and Risk; Conclusion; CHAPTER 16: DEVELOPING PROPORTIONAL REASONING WITH RATIOS: MAKING A PAINT CHART13; Colour Recipes; Ordering Shades of Colour; Making Paint Colour Charts; Reflections on the Activities; Conclusion; CHAPTER 17: ESTIMATING TREE HEIGHTS FOR PRIMARY SCHOOL14; Investigation 1; Investigation 2; Investigation 3; Variation in Height Estimates; Extension Activity Using Technology TinkerPlots; Discussion
    Description / Table of Contents: CHAPTER 18: ESTIMATING TREE HEIGHTS FOR MIDDLE SCHOOL15
    Note: Description based upon print version of record
    URL: Volltext  (lizenzpflichtig)
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
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  • 2
    ISBN: 9783031311932 , 9783031311925
    Language: Undetermined
    Pages: 1 Online-Ressource (381 p.)
    Series Statement: Mathematics Education in the Digital Era
    Keywords: Teaching of a specific subject ; Teacher training ; Education
    Abstract: This open access book investigates current issues related to the evolution of research on teaching mathematics and examines up to thirty years of presage-process-product research (PPPR) in mathematics with respect to conceptualization, instrumentation, and design. The book discusses the theoretical and methodological challenges associated with PPPR, critically reviews current research, and explores the likely direction of further developments to identify future paths for research on high-quality mathematics teaching in the digital era. Subjects that are covered in this work focus on the relationships between 1) student learning outcomes measured upon completion of the mathematics teaching; 2) student learning activities in the classroom; 3) interactive mathematics teacher activities, and best practices in mathematics classrooms conducted in the presence of students; 4) pre-post-active mathematics teacher activities such as planning, assessment, and other teaching-related activities outside of the classroom; 5) mathematics teachers’ competencies, knowledge, and skills; and 6) mathematics teachers’ characteristics, including beliefs, attitudes, and motivation. This book discusses the evolution of such research in mathematics teaching and teacher education in the digital era and is of interest to researchers exploring the field of mathematics teaching and mathematics teacher education as well as educators
    Note: English
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