Problem Solving in Mathematics Education

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Benjamin Rott (Hg.), Ana Kuzle (Hg.), Torsten Fritzlar (Hg.), Daniela Assmus (Hg.), Problem Solving in Mathematics Education (2016), WTM-Verlag, Münster, ISBN: 9783959870139

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Beschreibung / Abstract

From 3rd to 5th of September 2015 the 17th international ProMath conference (Problem Solving in Mathematics Education) took place at the Faculty of Education of the Martin Luther University Halle-Wittenberg (Germany). For the first time, it was combined with the annual meeting of the working group “Problem Solving† of the Society of Didactics of Mathematics.
ProMath is a group of experienced and early career researchers in the field of mathematics education who are interested in investigating and fostering mathematical problem solving and problem oriented mathematics teaching.
This book contains 20 peer reviewed articles of researchers from five European countries. The topics of the papers evolved around different areas of learning and problem solving. There are some theoretical papers on problem oriented mathematics instruction and specific aspects of problem solving and creativity as well as reports on detailed studies of problem solving processes of pupils and preservice teachers. Authors also present experiences with “real† problem solving instruction in different countries, considerations
and teaching experiments on didactic concepts to foster pupils†™ problem solving abilities, and they describe mathematically rich problem fields and their potentials for mathematical investigations in class.

Inhaltsverzeichnis

  • BEGINN
  • PREFACE
  • CONTENTS
  • USE OF WORKED-OUT EXAMPLES IN MATHEMATICS TEACHING
  • “I LEARNED A LOT AND IT DID NOT GO†: DEVELOPMENT OF THE COMBINATORIAL THINKING IN THE SECONDARY SCHOOL
  • CONNECTIONS OF WORKING BACKWARDS AND REVERSING LINES OF THOUGHT – SOME THEORETICAL CONSIDERATIONS
  • INVESTIGATING MULTIPLE STRATEGY USE AND STRATEGY FLEXIBILITY IN PROBLEM SOLVING BY PRE-SERVICE TEACHERS
  • BUYING BOOKS – A CASE STUDY ON ARITHMETIC AND ALGEBRAIC PROBLEM SOLVING
  • TOWARDS A DEVELOPMENT STAGE THEORY OF PROBLEM SOLVING COMPETENCE
  • FIGURES IN A GRID – A PROBLEM FIELD WITH DIFFERENT TASKS FOR DIFFERENT GRADES
  • BILLIARDS AS AN APPLIED SUBJECT MATTER OF LEARNING MATHEMATICS THROUGH MATHEMATICAL INVESTIGATIONS: IN-DEPTH LOOK IN A DESIGN RESEARCH STUDY
  • INVESTIGATING 10-13-YEAR-OLD FINNISH AND INDONESIAN STUDENTS†™ PROPORTIONAL REASONING IN A PAINT-BUCKET TASK
  • ON OBSERVATION OF PROBLEM SOLVING IN A SWEDISH AND A HUNGARIAN 5TH YEAR CLASS
  • USING STRATEGY KEYS AS A TOOL TO INFLUENCE STRATEGY BEHAVIOUR – A QUALITATIVE STUDY
  • EVALUATING MATHEMATICAL CREATIVITY: TOWARDS A CONFORMATION AND RETHINKING OF QUANTIFYING METHODS
  • DEVELOPMENT OF MATERIALS FOR PROBLEM SOLVING INSTRUCTION IN THE CONTEXT OF LESSONS FOR PROMOTING AND IMPROVING SPECIFIC MATHEMATICAL COMPETENCES USING DESIGN-BASED RESEARCH
  • RELATIONAL THINKING AND OPERATING ON UNKNOWN QUANTITIES
  • WHAT ARE WE AIMING FOR IN OPEN PROBLEMS?
  • HOW TO FIND A MATH PROBLEM?CHILDREN DISCOVER WONDERS OF MATHEMATICS IN THEIR OWN INTERACTIVE MATH EXHIBITION
  • PROBLEM SOLVING IN THE CLASSROOM: THE ROLE OF BELIEFS IN THE ORGANIZATION OF LESSONS WITH THE SUBJECT PROBLEM SOLVING
  • THE LEARNING OF MATHEMATICS VIA PROBLEM SOLVING
  • PROBLEM-ORIENTATION IN MATHEMATICS TEACHING – A CONCEPTUAL APPROACH TO WHAT DOES IT MEAN?
  • LEARNING TO TEACH MATHEMATICS THROUGH PROBLEM SOLVING: INVESTIGATING THE EFFECTIVENESS OF A MATHEMATICS TEACHING METHODS COURSE

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