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)
The abacus in the inquire-based learning of addition and subtraction
28
Salvador, v. 5, n. 2, p. 22-39, mai./ago. 2020
fortunately, generally come with different colors, which may induce the student to correlate color
and value for the pieces. It is an important that the teacher uses this situation of error to emphasize
that all the round pieces are identical and use them interchangeably in the sticks. The teacher can
then stress the difference between numbers and digits (“algarismos” in Portuguese), which can be
quite fuzzy for many students.
These two activities are made to stress the issue of number representation. At rst, only
the rst three numeric places are mentioned (the place/stick representing the units digit, the one
representing the tens digit and the one representing the hundreds digit). They are then asked (rst
problem) to generalize this representation by saying what the fourth stick in the abacus should
represent. To end this activity about representation, the teacher then explains the students the impor-
tance of having a decimal representation, by showing that without it, if each new piece represents
the successor number, to count up to nine thousands would mean to pile up nine thousand pieces
– in a structure bigger than the classroom –, while in the decimal representation it would mean
to just use nine pieces of wood (this point generally raises much astonishment). The teacher then
asks the students to join into groups (of no more than four or ve students) and, after the groups
are made, he asks them to represent a small list of numbers, just to make them as much acquainted
with the abacus as possible. The teacher must stress that, as with the human abacus, each stick can
hold at most ten pieces of wood, like it happened with each student in the “human abacus”. These
two rst activities should take no more than one class of 50 minutes. If the students show easiness
to pass these activities, the teacher can then present the notation of numbers using classes and
orders, and the use of the comma to make them explicit in number representation. At this stage,
students frequently nd quite amusing to work with very large numbers, such as 1,323,897,765
even if only to utter them;
Activity 3
The next activity introduces number addition. There are a number of details that should be
taken into account when teaching this operation. Details at this level of teaching are very important
and should not be overlooked by the teacher – moreover, they must be made explicit to the students.
The teacher begins asking the students to represent in the abacus some number, for example 143,
and then asks them to add this number with the number 2 (no student presents any difculty to do
that). The teacher may ask them to add another number that does not surpass 10, just for xation.