Topic 6 Place value table

Mathematical aspects:
The bundling in the Zahlenbuch is performed by means of concrete materials. Therein, the bundling of two, three and five offers very helpful counting strategies.This concrete task is followed by abstract depictions on an iconic level which eventually find their symbolic representation in the place value table. On the other hand, digits of a number are depicted as drawings according to their place value. The acoustic and kinaesthetic form of expression offers a wide range of possibilities to cope with the difficult transition from a concrete action to an abstract depiction (both iconic and symbolic) and to understand this process in different forms. The depiction of higher numbers as quantities of sounds or of movements of different qualities is very similar to the numeric representation in the notation of place value. However, a single additional characteristic distinguishes the two digits: their place in the sequence. This criterion, the location, can also distinguish two different sounds. Apart from this, the transfer also works when referring to musical parameters: timbre, duration of a sound, pitch of a sound, volume. If musically depicted with the “sounds of tens and ones”, the right number can be seen by means of time.

xx(=2) + X (+10 = 12) + xx ( +2 = 14) XX (+20 = 34). The way of counting is therefore clearly predetermined. The bundling of five for children in the first grade functions analogously: ° (=5) + … (+3 = 8).

Musical aspects:
See Introduction to "place value table"

See Impulse 1 "Sounds of tens and ones"

Overview "Place table value":
Impulses in MAMU 1 (grade 1/2)
Impulses in MAMU 2 (grade 4/5) in preparation
Impulses in MAMU 3 (grade 5/6) in preparation
New Impulses concerning the topic

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