Dit is een samenvatting voor de kennistoets rekenen middenbouw.
Het omvat hoofdstuk 1, 3, 4, 5 en 7 van het boek Reken-wiskundedidactiek: Hele getallen.
Deze samenvatting bevat stukken tekst en foto's om de leerstof te verduidelijken.
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, Samenvatting rekenen middenbouw Luca van den Bergh
Inhoud
H1 – Hele getallen.................................................................................................. 4
1.1 Getallen zie je overal ...................................................................................... 4
1.2 Ons getalsysteem ........................................................................................... 4
1.2.1 Andere talstelsels ..................................................................................... 5
1.3 Eigenschappen van getallen............................................................................... 5
1.3.1 Ontbinden in factoren ................................................................................ 6
1.3.2 GGD en KGV ............................................................................................ 6
1.3.3 Volmaakte getallen ................................................................................... 6
1.3.4 Figurale getallen ...................................................................................... 6
1.4 Basisbewerkingen ........................................................................................... 7
1.4.1 Eigenschappen van bewerkingen .................................................................... 7
H3 – Aanvankelijk rekenen ........................................................................................ 8
3.2 Verder werken aan getalbegrip........................................................................... 8
3.3 Optellen en aftrekken tot en met 10 .................................................................... 9
3.4 Betekenissen van optellen en aftrekken ................................................................ 9
Optellen en aftrekken over de 10 ...........................................................................10
H4 – Basisbewerkingen ........................................................................................... 11
4.1 Basisstrategieën ...........................................................................................11
Varia-aanpakken ...............................................................................................12
4.3 Elementair vermenigvuldigen en delen ................................................................13
4.3.1 Tafels ..................................................................................................13
4.3.2 Delen ...................................................................................................13
H5 – Rekenen-wiskunde met hele getallen in de bovenbouw ............................................... 14
5.2 Hoofdrekenen in de bovenbouw .........................................................................14
5.3 Schriftelijk rekenen .......................................................................................15
5.3.1 Kolomsgewijs en cijferend optellen ...............................................................15
5.3.2 Kolomsgewijs en cijferend vermenigvuldigen ....................................................16
5.3.3 Kolomsgewijs en cijferend delen ..................................................................16
5.4 Schattend rekenen ........................................................................................17
5.5 Rekenen met de rekenmachine .........................................................................17
5.6 Combinatoriek .............................................................................................18
H7 – Leren en onderwijzen van rekenen-wiskunde ........................................................... 19
7.1 Domeinen en doelen ......................................................................................19
7.1.1 Gecijferdheid .........................................................................................19
7.1.2 Doelen .................................................................................................19
7.2 Leerprocessen bij rekenen-wiskunde ...................................................................21
7.2.1 Leertheorieën.........................................................................................22
7.3 Vakdidactiek rekenen-wiskunde .........................................................................22
1. Hoofdstuk 2 (Kop 1) ............................................... Fout! Bladwijzer niet gedefinieerd.
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