Mathematics Education as a Research Domain: A Search for Identity: An ICMI Study Book 2

ISBN-13: 9789401061872 / Angielski / Miękka / 2013 / 335 str.

Anna Sierpinska

Opis

In 1978, in the foreword to Weeding and Sowing: A Preface to a Science of Mathematics Education, Hans Freudenthal wrote that his book is a preface to a science that does not exist. Almost 20 years later, does his claim still hold true? The present book is the result of the reflection of many individuals in mathematics education on this and related questions. Is mathematics education a science? Is it a discipline? In what sense? What is its place within other domains of research and academic disciplines? What accounts for its specificity? In the book, the reader will find a range of possible answers to these questions, a variety of analyses of the actual directions of research in different countries, and a number of visions for the future of research in mathematics education. The book is a result of an ICMI Study, whose theme was formulated as: What is Research in Mathematics Education and What are Its Results?'. One important outcome of this study was the realization of the reasons for the difficulty of the questions that the study was posing, leading possibly to a set of other questions, better suited to the actual concerns and research practices of mathematics education researchers. The book addresses itself to researchers in mathematics education and all those working in their neighborhood who are concerned with the problems of the definition of this new scientific domain emerging at their borders.

Spis treści

I: The ICMI Study Conference.- Discussion Document.- List of Participants.- What is the Specific Object of Study in Mathematics Education? Report of Working Group 1.- What are the Aims of Research in Mathematics Education? Report of Working Group 2.- What are the Specific Research Questions or Problématiques of Research in Mathematics Education? Report of Working Group 3.- What are the Results of Research in Mathematics Education? Report of Working Group 4.- What Criteria Should Be Used to Evaluate the Results of Research in Mathematics Education? Report of Working Group 5.- Research, Effectiveness, and the Practitioners’ World.- II: Mathematics Education as a Research Discipline.- A Glance Over the Evolution of Research in Mathematics Education.- Balancing Complex Human Worlds: Mathematics Education as an Emergent Discipline in its Own Right.- A Postmodern Perspective on Research in Mathematics Education.- Mathematics Education as a ‘Design Science’.- What is Mathematics Education? A Survey of Mathematics Educators in Canada.- Programs for the Education of Researchers in Mathematics Education.- III: Goals, Orientations and Results of Research in Mathematics Education.- The Aims of Research.- Aiming Research Toward Understanding: Lessons We Can Learn From Children.- Transforming the International Mathematics Education Research Agenda.- Clarifying the Meaning of Mathematical Objects as a Priority Area for Research in Mathematics Education.- Research and Results in Mathematics Education: Some Contradictory Aspects.- Models in Mathematics Education Research: A Broader View of Research Results.- Towards a Cognitive Theory of Practice.- IV: Different Research Paradigms in Mathematics Education.- Italian Trends in Research in Mathematical Education: A National Case Study from an International Perspective.- The Paradigm of Modeling by Iterative Conceptualization in Mathematics Education Research.- Developmental Research as a Research Method.- Practitioner Research and the Construction of Knowledge in Mathematics Education.- On the Generation of Basic Ideas and Individual Images: Normative, Descriptive and Constructive Aspects.- Research on Socio-Cultural Perspectives of Mathematics Teaching and Learning.- Relations between the Theoretical Field and the Practical Field in Mathematics Education.- Researching from the Inside in Mathematics Education.- The Social Organization of Research Programs in Mathematical Sciences Education.- Mathematics Education Research as Socially and Culturally Situated.- V: Evaluation of Research in Mathematics Education.- Evaluating Research Papers in Mathematics Education.- Basic Criteria for Research in Mathematics Education.- The Ship of Theseus and Other Metaphors for Thinking about What We Value in Mathematics Education Research.- Ethics in Mathematics Education Research.- VI: Mathematics Education and Mathematics.- A Mathematician’s View of Research in Mathematics Education: An Interview with Shimshon A. Amitsur.- What Should be the Output of Mathematical Education?.- Research in Mathematics Education Through the Eyes of Mathematicians.- The Many Faces of Mathematics: Do Mathematicians and Researchers in Mathematics Education Speak about the Same Thing?.- Epistemological Constraints of Mathematical Knowledge in Social Learning Settings.- Continuing the Search.- Notes on Authors.