5 found
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  1.  17
    Touchscreen Tablets: Coordinating Action and Perception for Mathematical Cognition.Carolien A. C. G. Duijzer, Shakila Shayan, Arthur Bakker, Marieke F. Van der Schaaf & Dor Abrahamson - 2017 - Frontiers in Psychology 8.
  2.  23
    Mastering as an Inferentialist Alternative to the Acquisition and Participation Metaphors for Learning.Samuel D. Taylor, Ruben Noorloos & Arthur Bakker - 2017 - Journal of Philosophy of Education 51 (4):769-784.
    A tension has been identified between the acquisition and participation metaphors for learning, and it is generally agreed that this tension has still not been adequately resolved. In this paper, we offer an alternative to the acquisition and participation metaphors for learning: the metaphor of mastering. Our claim is that the mastering metaphor, as grounded in inferentialism, allows one to treat both the acquisition and participation dimensions of learning as complementary and mutually constitutive. Inferentialism is a semantic theory which explains (...)
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  3. Diagrammatic Reasoning as the Basis for Developing Concepts: A Semiotic Analysis of Students' Learning about Statistical Distribution.Arthur Bakker & Michael H. G. Hoffmann - 2005 - Educational Studies in Mathematics 60:333–358.
    In recent years, semiotics has become an innovative theoretical framework in mathematics education. The purpose of this article is to show that semiotics can be used to explain learning as a process of experimenting with and communicating about one's own representations of mathematical problems. As a paradigmatic example, we apply a Peircean semiotic framework to answer the question of how students learned the concept of "distribution" in a statistics course by "diagrammatic reasoning" and by developing "hypostatic abstractions," that is by (...)
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  4.  45
    Diagrammatic reasoning and hypostatic abstraction in statistics education.Arthur Bakker - 2007 - Semiotica 2007 (164):9-29.
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  5.  19
    Identifying Qualitative Between-Subject and Within-Subject Variability: A Method for Clustering Regime-Switching Dynamics.Lu Ou, Alejandro Andrade, Rosa A. Alberto, Arthur Bakker & Timo Bechger - 2020 - Frontiers in Psychology 11.
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