Thesen zur Theoriendiskussion in der Mathematikdidaktik

Bigalke, Hans-Günther

doi:10.1007/bf03339244

Cited by 11 publications

(13 citation statements)

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“…The reflection on practices of theorizing in a research field can tell us more about theories, theorizing and their roles than a precise definition can. For doing so, Bigalke's (1984) notion of the 'core' of a theory is fruitful (see Maier & Beck, 2001, p. 31) by which he stresses an aspect of theories that Niss included implicitly in his definition and that Mason and Waywood included in the philosophical background of a theory. Starting from the view of theories as structured buildings of knowledge, Bigalke (1984) distinguishes the core of the theory (which comprises central aspects taken for granted) from the empirical component with features, aspects, claims and concepts extracted from or added to the core.…”

Section: Introductionmentioning

confidence: 98%

Networking strategies and methods for connecting theoretical approaches: first steps towards a conceptual framework

Prediger

Bikner-Ahsbahs

Arzarello

2008

ZDM Mathematics Education

197

114

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The article contributes to the ongoing discussion on ways to deal with the diversity of theories in mathematics education research. It introduces and systematizes a collection of case studies using different strategies and methods for networking theoretical approaches which all frame (qualitative) empirical research. The term 'networking strategies' is used to conceptualize those connecting strategies, which aim at reducing the number of unconnected theoretical approaches while respecting their specificity. The article starts with some clarifications on the character and role of theories in general, before proposing first steps towards a conceptual framework for networking strategies. Their application by different methods as well as their contribution to the development of theories in mathematics education are discussed with respect to the case studies in the ZDM-issue.

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Section: Introductionmentioning

confidence: 98%

Networking strategies and methods for connecting theoretical approaches: first steps towards a conceptual framework

Prediger

Bikner-Ahsbahs

Arzarello

2008

ZDM Mathematics Education

197

114

View full text Add to dashboard Cite

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“…Since the development of any scientific discipline is deeply intertwined with its theoretical work, there was a need to clarify what kinds of theories were adequate for the discipline. This was done by Jahnke (1978) and Bigalke (1984), who proposed the Sneed and Stegmüller's concept a suitable theory concept for the field:…”

Section: Theory Traditions In German-speaking Countriesmentioning

confidence: 99%

German-Speaking Traditions in Mathematics Education Research

Jahnke

Biehler

Bikner-Ahsbahs

et al. 2017

Proceedings of the 13th International Congress on Mathematical Education

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“…The role of theory was more explicitly discussed about 10 years later in two papers (Burscheid 1983;Bigalke 1984) and in two comments (Fischer 1983;Steiner 1983) published in the JMD. As an example of the discussion about theory at that time, we will convey the different positions in these papers in more detail.…”

Section: How To Understand Theories and How They Relatementioning

confidence: 99%