By Wendy Lesley Millroy
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Additional info for An Ethnographic Study of the Mathematical Ideas of a Group of Carpenters (Journal for Research in Mathematics Education. Monograph, N.? 5)
Whatis an choice for the nextaction(if necessary)to begina new cycle? Whenan action appropriate is seen to be repeatedlysuccessfulin movingtowardresolutionof the problematic,that actionmay be objectified,named,or turnedintoa tool andusedfor futureactions. problematic action reflection Figure2. Theconstructivistcycle. as a ready-madecommodityfrom Thusmathematical knowledgeis not transferred one personto another;rather,peoplebuildtheirknowledgeon the basis of theirexperience (Steffe, 1986). Accordingto Labinowicz(1985, p.
D'Ambrosio,1987, p. He statesthatthe purposeof his researchprogramis to identifya structured body of knowledgewithinethnomathematics. The researchprogramis beingcarriedoutby collectingexampleson the mathematical groupsandlinkingthesepracticesto patternsof practicesof culturallydifferentiated reasoningandmodesof thought. Ethnomathematics portrayedsimultaneouslyas the studyof mathematicswithina cultural,historical,and framework,as well as "themathematicswhichis practicedamong anthropological identifiableculturalgroups"(1985, p.
Bishop(1988a)refersto the manydifferentconceptsanddefinitionsof culturethat have been putforwardby culturalanthropologists. He also discussesthe workof the mathematicianKline(1980), whichfocuseson thecultureof mathematics,andthe work of mathematician/historian Wilder(1981), whichfocuseson the culturalgroupof mathematicians. Bishoprejectsbothof theseapproachesas modelsbecauseof their exclusionof nonmathematicians. Whilehis workrefersmainlyto culturalgroupsthatare nationalgroupsor languagegroups,he does not give a clearstatementas to whatconcepts of cultureandculturalgrouphe, as an educator,choosesto use.
An Ethnographic Study of the Mathematical Ideas of a Group of Carpenters (Journal for Research in Mathematics Education. Monograph, N.? 5) by Wendy Lesley Millroy