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Embodied Instrumentation in Learning Mathematics as the Genesis of a Body-Artifact Functional System
Shvarts, Anna; Alberto, Rosa; Bakker, Arthur; Doorman, Michiel; Drijvers, Paul – Educational Studies in Mathematics, 2021
Recent developments in cognitive and educational science highlight the role of the body in learning. Novel digital technologies increasingly facilitate bodily interaction. Aiming for understanding of the body's role in learning mathematics with technology, we reconsider the instrumental approach from a radical embodied cognitive science…
Descriptors: Mathematics Instruction, Human Body, Technology Uses in Education, Brain
Smit, Jantien; Bakker, Arthur; van Eerde, Dolly; Kuijpers, Maggie – Mathematics Education Research Journal, 2016
The importance of language in mathematics learning has been widely acknowledged. However, little is known about how to make this insight productive in the design and enactment of language-oriented mathematics education. In a design-based research project, we explored how language-oriented mathematics education can be designed and enacted. We drew…
Descriptors: Graphs, Language Proficiency, Data Interpretation, Scaffolding (Teaching Technique)
Noss, Richard; Bakker, Arthur; Hoyles, Celia; Kent, Phillip – Educational Studies in Mathematics, 2007
We investigate the use and knowledge of graphs in the context of a large industrial factory. We are particularly interested in the question of "transparency", a question that has been extensively considered in the general literature on tool use and, more recently, by Michael Roth and his colleagues in the context of scientific work. Roth uses the…
Descriptors: Scientists, Graphs, Semiotics, Validity
Hoyles, Celia; Bakker, Arthur; Kent, Phillip; Noss, Richard – Mathematical Thinking and Learning: An International Journal, 2007
This article is concerned with the meanings that employees in industry attribute to representations of data and the contingencies of these meanings in context. Our primary concern is to more precisely characterize how the context of the industrial process is constitutive of the meaning of graphs of data derived from this process. We draw on data…
Descriptors: Employees, Ethnography, Graphs, Total Quality Management
Bakker, Arthur; Gravemeijer, Koeno P. E. – Educational Studies in Mathematics, 2006
Using Freudenthal's method of historical phenomenology, the history of statistics was investigated as a source of inspiration for instructional design. Based on systematically selected historical examples, hypotheses were formulated about how students could be supported in learning to reason with particular statistical concepts and graphs. Such a…
Descriptors: Phenomenology, Statistics, Instructional Design, Graphs
Bakker, Arthur – Statistics Education Research Journal, 2004
This paper examines ways in which coherent reasoning about key concepts such as variability, sampling, data, and distribution can be developed as part of statistics education. Instructional activities that could support such reasoning were developed through design research conducted with students in grades 7 and 8. Results are reported from a…
Descriptors: Middle Schools, Grade 8, Cognitive Development, Sampling