By Anna Sierpinska, Jeremy Kilpatrick

I: The ICMI research Conference.- dialogue Document.- record of Participants.- what's the particular item of research in arithmetic schooling? file of operating staff 1.- What are the goals of analysis in arithmetic schooling? record of operating team 2.- What are the explicit examine Questions or Problématiques of analysis in arithmetic schooling? file of operating workforce 3.- What are the result of study in arithmetic schooling? document of operating team 4.- What standards might be Used to guage the result of examine in arithmetic schooling? file of operating staff 5.- examine, Effectiveness, and the Practitioners’ World.- II: arithmetic schooling as a study Discipline.- a look Over the Evolution of study in arithmetic Education.- Balancing complicated Human Worlds: arithmetic schooling as an Emergent self-discipline in its personal Right.- A Postmodern viewpoint on learn in arithmetic Education.- arithmetic schooling as a ‘Design Science’.- what's arithmetic schooling? A Survey of arithmetic Educators in Canada.- courses for the schooling of Researchers in arithmetic Education.- III: targets, Orientations and result of examine in arithmetic Education.- The goals of Research.- Aiming study towards knowing: classes we will examine From Children.- reworking the foreign arithmetic schooling examine Agenda.- Clarifying the which means of Mathematical gadgets as a concern region for examine in arithmetic Education.- learn and ends up in arithmetic schooling: a few Contradictory Aspects.- types in arithmetic schooling examine: A Broader View of study Results.- in the direction of a Cognitive concept of perform.

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The importance of very specific (hence context-bound) questions was also underlined by the analogy with some 'good ideas' that have been developed in science (according to history) in very specific contexts, before becoming universals. So, whether or not we have a problem of communication, we need to make explicit and accept differences in contexts, assumptions, and paradigms. CM! STUDY CONFERENCE 23 this field, similar to the International Group for the Psychology of Mathematics Education or the International Study Group on the Relations Between History and Pedagogy of Mathematics.

Theory and the Nature of Mathematics Education There was widespread agreement within the group that without a question, there can only be facts but no results. , statistical differences in achievements between different groups) alone are not results. In didactics, we want to explain the differences, not just show them. We need to identify the variables of the didactic situation in order to combine the different facts into a coherent network of reasons. There was less agreement on how research questions may arise and how their appropriateness should be judged.

Although research in mathematics education gains its autonomy in the act of problem posing, in considering problems in mathematics education we are able to select and define both theories and methodologies from other foundation disciplines (background sciences such as psychology, sociology, and philosophy). Imported criteria for these disciplines must form part of the criteria for the quality of research in mathematics education. For example, research in mathematics education could form the subject of articles publishable in journals related to these disciplines.