Att skapa förutsättningar för elevers teoretiska arbete med bassystemet
DOI:
https://doi.org/10.61998/forskul.v12i1.22924Nyckelord:
bassystemets struktur, ED-programmet, learning activity, learning study, låg- och mellanstadieelever, matematikundervisning, positionssystemAbstract
Syftet med artikeln är att beskriva och exemplifiera matematiska aspekter som mellanstadieelever behöver urskilja för att utforska bassystemets struktur. Datamaterialet är hämtat från en learning study i årskurs 4 med 44 elever, där en iterativt utvecklad lektion har utformats inspirerad av learning activity och El’konin-Davydov-programmet (ED-programmet). Avsikten var att skapa förutsättningar för eleverna att utforska och pröva relationen mellan olika bastal och övergången till successivt större respektive mindre talenheter. I analysen framträder bastalet, entalets representation och tal som mätetal som centrala aspekter för elevernas utforskande av strukturen i bassystemet. Resultatet presenteras med exempel från det iterativa arbetet med att revidera uppgifterna och från de lektioner där uppgifterna prövades.
To create preconditions for students’ theoretical work with the base system
The purpose of the article is to describe and exemplify mathematical aspects that middle school students need to discern in order to explore the structure of the base system. The data material is taken from a Learning study in grade 4 with 44 students, where a lesson was designed inspired by Learning activity and the El’konin-Davydov curriculum (ED curriculum). The purpose of the lesson was to create conditions for students to explore and test the relationship between different base numbers and the transition to successively larger and smaller number units. In the analysis, the base number, the representation of ones and numbers as measurements emerge as central aspects for the students' exploration of the structure of the base system. The results are presented with examples from the iterative work of revising the tasks and from the lessons where the tasks were tested.
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