Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Spectrums of knowledge types: mathematics, mathematics education and praxis knowledge
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.
2008 (English)In: Proceedings of MADIF6, Swedish Society for Research in Mathematics Education , 2008Conference paper, Published paper (Refereed)
Abstract [en]

Knowledge in different research paradigms is discussed: mathematics, mathematics education and a paradigm of practical knowledge. I argue that the three paradigms as highly distinct, different and important. They try to cope with entirely different types of knowledge, all highly relevant for mathematics teachers.

While mathematics is deductive and mathematical education is evidence based, practical knowledge is a type of knowledge that professionals in any profession develop by experience and by exchange with other professionals. It is based on experience more than on written text. It is well known that it to a large extent is difficult to articulate. Such knowledge is also essential in important types of mathematical knowledge. We discuss the role played by vagueness in mathematics. We also discuss linguistic mathematics knowledge which typically is present but mostly unformulated, as the mother tongue.

I argue that mathematics, pedagogy and mathematics education suffers from drawbacks by being strongly rooted in the positivist tradition, in which knowledge can always be expressed in words – otherwise it is not knowledge. Central aspects of teacher’s day-to-day profession are too complicated to be captured in words. However, work has been done to allow such practical knowledge to be formulated among professionals. I would like to sketch a more fluent cooperation between the paradigms, in which the advantages of all the different knowledge types may interact and become increasingly useful to each other.

For such an idea to reach reality, an efficient meeting form is needed. The Dialogue Seminar is developed precisely to study and communicate difficult-to-articulate practical knowledge among experienced professionals from different areas, using analogue and metaphor as catalysts. This offers mathematicians, mathematics education researchers, mathematics teachers and teacher students, and others, an excellent opportunity to listen in depth to each other, and to have a dialogue. 

Place, publisher, year, edition, pages
Swedish Society for Research in Mathematics Education , 2008.
National Category
Mathematics Pedagogy
Identifiers
URN: urn:nbn:se:bth-15133OAI: oai:DiVA.org:bth-15133DiVA: diva2:1141058
Conference
The sixth Swedish Mathematics Education Research Seminar, MADIF6, Stockholm
Available from: 2017-09-13 Created: 2017-09-13 Last updated: 2017-09-15Bibliographically approved

Open Access in DiVA

fulltext(253 kB)2 downloads
File information
File name FULLTEXT01.pdfFile size 253 kBChecksum SHA-512
bb4dc428f69ef84f55f205911d25bb8bc00bae98eea9fd4d4da2d4f1379e7b282428ce1e536045041a6188c2194696c09061502b0f53a9c05e1c45bce7ace201
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Lennerstad, Håkan
By organisation
Department of Mathematics and Natural Sciences
MathematicsPedagogy

Search outside of DiVA

GoogleGoogle Scholar
Total: 2 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 10 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf