GeoGebra in a School Development Project Mathematics Education as a Learning System

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Pernilla Vikström
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1 Karlstad GeoGebra in a School Development Project Mathematics Education as a Learning System Dé dag van GeoGebra Zaterdag 19 oktober 2013 GeoGebra Instituut Vlaanderen, Brussell 1 2 GeoGebra in a School Development Project Mathematics Education as a Learning System Upper secondary school (Science programme) Academic Year Background 4 Computers in the classroom Computers in the classroom 5 6

Mid 1980 s Late 1990 s early 2000 A computer lab in every secondary school 20 lessons of computer science in grade 7 9 Development project: IT in School (ITiS) 60 million Every teacher involved got a

revolutionize teaching practice the project lies outside the regular teaching when the project is over most teachers return to their usual habits of teaching 9 10 School development Crucial when

2 Mid 1980 s Late 1990 s early 2000 A computer lab in every secondary school 20 lessons of computer science in grade 7 9 Development project: IT in School (ITiS) 60 million Every teacher involved got a PC of their own 7 8 Some years later School development Almost no traces left behind Top down-approach an (external) agent initiate an innovation (unrealistic) expectations that ICT will revolutionize teaching practice the project lies outside the regular teaching when the project is over most teachers return to their usual habits of teaching 9 10 School development Crucial when implementing an ICT-project time to learn the software peer support regular teaching supervision Aim Develop mathematics teaching into a learning system through a dynamic math software (GeoGebra) design a sequence of learning situations (activities) the teachers are the owners of the project university team members act as coaches and tutors 11 12

3 Visiting an upper secondary school using ICT in all subjects Before we started Visiting G I of Norway Two workshops Introducing the teachers to GeoGebra Workshop hours every third week Design an activity with GeoGebra Outcome Worksheet (students) and Teacher s sheet 17 18

Evaluate The Activities 2 Teach 1 Design 21 22 GeoGebraTube The Activities An investigative approach

4 Workshop 2 Teaching in regular classes Evaluate the lesson/activity Make changes in the worksheet and in the teacher s sheet Design a new activity Spiral 6 Evaluate 5 Teach 4 Re-design 3 Evaluate The Activities 2 Teach 1 Design GeoGebraTube The Activities An investigative approach Guided discovery Instruction for the construction Investigate Write in your own words Change the Result? 23 24

5 Worksheet Teacher s information sheet Title Content The Teacher s Sheet Course Syllabus Abilities Working Time Comments 29 30

6 ! Rubrik Vektorer Ämnesinnehåll!Konstruktion!av!en!vektor!mellan!två!punkter!!Addition!med!vektorer! a) algebraiskt! b) grafiskt! 9 Parallellogrammetoden! 9 Polygonmetoden!!Multiplikation!av!en!vektor!med!ett!tal!!Uppdelning!i!komposanter! Kurs 1c! Ämnesplan Begreppet!vektor!och!dess!representationer!såsom!riktad!sträcka! och!punkt!i!ett!koordinatsystem! Innehåll Addition!och!subtraktion!med!vektorer!och!produkten!av!en!skalär! och!en!vektor! Förmågoratt!använda!och!beskriva!begreppet!vektor! utveckla!hantera!procedurer!och!lösa!uppgifter!av!standardkaraktär!utan! och!med!verktyg!!analysera!och!lösa!matematiska!problem!!följa!och!föra!matematiska!resonemang!!kommunicera!matematiska!tankegångar!muntligt,!skriftligt!och!i! handling! Arbetsform Klassrumsaktivitet!!!parvis!! Tidsåtgång 2!lektioner! Didaktiska Aktiviteten!fungerar!som!introduktion!till!momentet!vektorer! kommentarer (efter!kort!genomgång)!!! 31 GeoGebra Strenghts Alter and transform your teaching practice Natural differentiation Promote an explorative way of learning Focuse the mathematical content Strong effects on students learning feedback formative assessment 32 Different activities with GeoGebra Different activities with GeoGebra Whole class instruction Introducing a new content Promote whole class discussion/group discussion Repetition Homework follow up on an activity prepare for an introduction challenges for gifted students Core concepts Math education as a design science Substantial Learning Environment (Lernumgebungen; situation didactiques) Learning systems Collegial learning Thank you for listening! Arne Engström 35 36

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