Presentatie titel

Rotterdam, 00 januari 2007

Counting and calculating;

The concept of counting

Okahandja, October 2013

Before counting starts

Sorting – making groups Cardinal numbers

Ordering – making seriesOrdinal numbers

Conservation of numberStill the same number?

Making pairsLess-equal-more?

All kind of numbers

Cardinal numberOrdinal/Order numberMeasure numberLabel numberCalculation number

The teaching-learning trajectory of counting

Context-based counting and calculating

Object-based counting and calculating

Pure counting and calculating

CountingContext-based counting and calculating

StoriesDaily life situations

CountingObject-based counting and calculating

Counting the objects in the classroomCounting objects/people in daily life

Resultative countingcounting and slipping one-by-onesynchronic counting

Short countingStart counting with a known quantity

Structured countingCounting in two’s

Structured counting,Counting in fives

Structured countingCounting in tens

CountingPure counting and calculating

Representing numbers

Dots patterns, • 10-frames and dices

Tallies, Digits, Fingers,

SubitizingResultative countingShort countingStructured counting

Teaching materials1 Buttons, bottle tops, beans, strings, sticks, stones,

all kind of counting materials

1 2

3 4 5

76

8 9

10

Unstructured counting materials

Sorting – making groups Cardinal numbersOrdering – making seriesOrdinal numbers

Making pairsLess-equal-more?Conservation of numberStill the same number?

Counting: Resultative – Short – StructuredNumber bonds…..

Number bonds 8

53

Teaching materials2 Flashcards with number images 1 to 10

Flashcards with number images of fingers, dices, 10-frames and tallies

‘Pairs’ and ‘rows’

http://www.google.nl/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&docid=s_K6kjbCTJlyOM&tbnid=yasNoGHgmqU-TM:&ved=0CAUQjRw&url=http%3A%2F%2Fwww.enchantedlearning.com%2Fmath%2Ftally%2F&ei=lRNIUu_WB8fqswbVo4GIBg&bvm=bv.53217764,d.Yms&psig=AFQjCNHj22tB6P2xZbbKDVbQ5gScgMVurQ&ust=1380541684076995

SubitizingCompleting to 10/friends of 10Pairs – even and odd numbers…..

home made ten frames

Which number?

Which number?

Which number?

Teaching materials3 Classroom number line 1 - 20 with 5- and 10-structure

Counting 1 – 10, 1 – 20Counting back 10 – 1, 20 – 1Counting in two’sEven and odd numbersCounting in fives,Neighbours Number bonds…..

Teaching materials4 Dices and number games - Rikash

Start

Finish

The race course, from home to school, ….

Subitizing Counting one-by-oneCounting and calculating?

Teaching materials5 Number cards 1 -20

Ordering numbersEven and odd numbersMultiples of 5 Friends of 10Number bondsNeighbours More/lessNumber lineNumber games……

Please make and collect the materials yourself.

Use the materials and discover the possibilities to teach mathematics with these ‘easy to make’ teaching materials!

Jaap Griffioen – j.griffioen@hr.nl Jaap de Waard – j.de.waard@hr.nl