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Oriëntatie op rekenen in het basisonderwijs

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Dit verslag heb ik gemaakt voor mijn studie aan de Haagse Hogeschool. Voor dit verslag heb ik een 8 gekregen.

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  • July 7, 2024
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  • 2023/2024
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Oriëntatie op rekenen in het basisonderwijs
Module P1-Brede professionele basis en de kern van het beroep




Instelling: De Haagse Hogeschool
Faculteit: Sociaal Werk en Educatie
Afdeling: PABO
Domein: Module P1-Brede professionele basis en de kern van het beroep.
Toetscode: PABO-PDORB-17

Student: Niels Sonneveld
Studentnummer: 20213336
Cohort: PABO-FLX-DT-2020
Studiejaar: 2020-2021
Ingeleverd op: 17-5-2021

,Inhoudsopgave
Inleiding ......................................................................................................................................... 4

Leeswijzer ...................................................................................................................................... 4

Visie op rekenonderwijs.................................................................................................................. 5
Traditioneel rekenen ................................................................................................................................. 5
Realistisch rekenen ................................................................................................................................... 5

De voor- en nadelen....................................................................................................................... 6

Het belang van goed rekenonderwijs .............................................................................................. 7
Het drieslagmodel ..................................................................................................................................... 7
Het handelingsmodel en verschillende handelingsniveaus ......................................................................... 8
Informeel handelen................................................................................................................................ 8
Voorstellen – concreet .......................................................................................................................... 8
Voorstellen – abstract ........................................................................................................................... 8
Formeel handelen ................................................................................................................................. 8

Leerlijnen van het rekenonderwijs................................................................................................... 9
Getallenlijn (ordinaal) ................................................................................................................................ 9
Getalsstructuur (kardinaal) ...................................................................................................................... 10
Optellen en aftrekken .............................................................................................................................. 11
Vermenigvuldigen en delen ..................................................................................................................... 12
Schattend rekenen .................................................................................................................................. 13

Betekenis en eigenschappen ....................................................................................................... 14

Schema’s en modellen ................................................................................................................. 16
Vijfstructuur ............................................................................................................................................ 16
Lijnmodellen ............................................................................................................................................ 16
D H T E – Model ...................................................................................................................................... 17
Verhoudingstabel .................................................................................................................................... 17

Wiskundige termen ...................................................................................................................... 18

Leefwereld en relevantie van wiskunde en rekenen. ..................................................................... 19
De verstrengeling van hele getallen en schattend rekenen met andere reken-wiskundemethodes. .......... 19

Schattend rekenen les ................................................................................................................. 20
Lesdoel en beginsituatie .......................................................................................................................... 20

2

, Leerdoel en instructie .............................................................................................................................. 20
Les met betekenis ................................................................................................................................... 21
Leerlijn .................................................................................................................................................... 21
Handelingsmodel .................................................................................................................................... 21
Model ..................................................................................................................................................... 22
Reflectie .................................................................................................................................................. 22
Conclusie ................................................................................................................................................ 23

Literatuurlijst ................................................................................................................................ 24

Bijlagen ........................................................................................................................................ 26
Lesvoorbereidingsformulier ..................................................................................................................... 26
Werkblad ................................................................................................................................................ 29




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