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Samenvatting Wiskunde = Wijs ! - Wiskunde 1- natuurlijke getallen $9.70   Add to cart

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Samenvatting Wiskunde = Wijs ! - Wiskunde 1- natuurlijke getallen

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Samenvatting studieboek Wiskunde = Wijs ! van Maaike Bronselaer, Karen de Maesschalck (..) - ISBN: 9789463930871, Druk: 1, Uitgavejaar: - (...)

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  • January 10, 2024
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  • 2022/2023
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NATUURLIJKE GETALLEN
Gemaakt a.d.h.v. de powerpoint




Lotte Cleymans
1BALOc

, 1


Inhoudsopgave

Les 1: natuurlijke getallen = getallenkennis en bewerkingen ........................................................................... 3

Fasen in het rekenleerproces ............................................................................................................................... 3

Ontwikkeling getalbegrip (voorwaarden om rekenrijp te zijn) ............................................................................ 4
Prenumerieke vaardigheden = fundament getalbegrip .................................................................................. 4
Maatbegrip ...................................................................................................................................................... 5
Conservatie...................................................................................................................................................... 5
Correspondentie.............................................................................................................................................. 5
Classificatie ...................................................................................................................................................... 5
Seriatie ............................................................................................................................................................ 6
Ontwikkeling van nieuwe getallen .................................................................................................................. 6
Getalbereik ...................................................................................................................................................... 7
Natuurlijke getallen ......................................................................................................................................... 7
Functie van getallen ........................................................................................................................................ 8
Hoeveelheid of kardiaalgetal ....................................................................................................................... 8
Rangorde of ordinaal getal .......................................................................................................................... 9
Code ............................................................................................................................................................ 9
Verhouding .................................................................................................................................................. 9

Leerlijn tellen ..................................................................................................................................................... 10
Definitie en doelen ........................................................................................................................................ 10
Bepalen van hoeveelheden ........................................................................................................................... 10
Leerlijn tellen ................................................................................................................................................. 10
Resultatief tellen ........................................................................................................................................... 11

CSA-MODEL ....................................................................................................................................................... 12

Didactische Materialen...................................................................................................................................... 14
Getalbeelden ................................................................................................................................................. 14
Horizontaal getalbeeld .................................................................................................................................. 14
Verticaal getalbeeld....................................................................................................................................... 15
Honderdveld .................................................................................................................................................. 15
Getallenas ...................................................................................................................................................... 16
Getalkaarten .................................................................................................................................................. 16

Getalstructuur ................................................................................................................................................... 17
Groeperen per 10 .......................................................................................................................................... 17
Decimaal stelsel ............................................................................................................................................. 17
Groeperen ..................................................................................................................................................... 19
Andere grondtallen ....................................................................................................................................... 19
Gebruik van andere talstelsels ...................................................................................................................... 20

Getallensystemen .............................................................................................................................................. 21
Plaatswaardesysteem.................................................................................................................................... 21
Additioneel systeem ...................................................................................................................................... 21

rekenvardigheid................................................................................................................................................. 22

Modellen van de hoofdbewerkingen ................................................................................................................. 23




L. Cleymans 2022- 2023 Wiskunde 1

, 2


Inzichtelijk leren ................................................................................................................................................. 23
Inzichtelijk leren ............................................................................................................................................ 23
Van handelingscontexten naar bewerking .................................................................................................... 23
Optelling en aftrekking in IN.......................................................................................................................... 23
Handelingscontext ......................................................................................................................................... 24
Optelling in IN ................................................................................................................................................ 25
Aftrekking ...................................................................................................................................................... 26

Wiskundetaal..................................................................................................................................................... 29

Leerlijn optrellen en aftrekken ........................................................................................................................... 30
Splitsen van en naar elementaire bewerkingen ............................................................................................ 30
Eerste leerjaar ............................................................................................................................................... 31
Vanaf tweede leerjaar ................................................................................................................................... 33

Leerlijn vermenigvuldigen en delen ................................................................................................................... 35
Tweede leerjraar ........................................................................................................................................... 35
Vanaf het derde leerjaar ............................................................................................................................... 42

Berekeningswijzen ............................................................................................................................................. 43
Schattend rekenen ........................................................................................................................................ 43
Rekenmachine ........................................................................................................................................... 44
Hoofdrekenen............................................................................................................................................ 46
Cijferen ...................................................................................................................................................... 47




L. Cleymans 2022- 2023 Wiskunde 1

, 3




Wiskunde 1 (2022-2023)
- Planning bekijken (gele vlakken zijn door de leerkracht ingeplande momenten om aan de
taken te werken)
- Bekijk video’s voor de lessen -> beter volgen en gerichtere vragen stellen
- Les 7 wordt ingepland maar zelf thuis verwerkt door de video’s online
- Eenvoudig rekenmachine !!!!
- Examentaak 1: 10/11
- Examentaak 2: dag van examen in januari



Les 1: natuurlijke getallen = getallenkennis en bewerkingen

- Kinderen hebben al heeeel veel kennis over wiskunde als ze in het lager onderwijs
binnenkomen. (huisnummer, koekjes verdelen, 7 op klok en opstaan, …

- Wiskundeonderwijs in lagere school
- Fasen in het rekenleerproces pag. 258-267
- Ontwikkeling getalbegrip pag. 300-301 + pag. 290-293 + pag. 280-289
- Leerlijn tellen pag. 267-273
- CSA-model pag. 235-244
- Didactische materialen pag. 235-244 + pag. 273-278
- Getalstructuur en getallensystemen pag. 293-300



Leerlijnen -> leerplannen -> methodes



Fasen in het rekenleerproces




Prenumerieke fase
o Basis voor getalbegrip en latere rekenactiviteiten à Rekenrijp?
o Ontluikende gecijferdheid
o Kleuterschool en start eerste leerjaar
o Rijke interacties met kleuter: Korte gesprekjes over ≠ onderwerpen
o Verband ontwikkeling WIS concepten en taalontwikkeling: Redeneren!
o Veel ervaren: handelingen en ‘manipuleren’ van materialen




L. Cleymans 2022- 2023 Wiskunde 1

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