Figure 4: Samples of making a list strategy
During the experimental applications, it is seen that students could use the listing strategy by themselves. In
student solutions there were different strategies within the listing strategy. The interviewed students used “ranking
from small number to big number (Figure4/c), choosing two numbers and changing their places (Figure4/b), ranking
in terms of the first number of the result (Figure 4/a)” sub-strategies.
In interview records student explained their listing strategies like this:
Sabriye, whose solution is shown in Figure 4/b, said “First of all I chose two numbers; and put one of them at the
beginning and the other one at the end. Later I changed their places.” Mehmet, whose solution is shown in Figure
4/c, explained “I wrote the smallest number which was 36. Then I wrote 38, 63 and eventually the biggest number
86.” Elife, whose solution is shown in Figure 4/a, said “I put the one starting with 3, then with 6 and eventually with
8. Later I put remained ones nearby other, the result was 6.”
Figure 4: Samples of making a list strategyDuring the experimental applications, it is seen that students could use the listing strategy by themselves. Instudent solutions there were different strategies within the listing strategy. The interviewed students used “rankingfrom small number to big number (Figure4/c), choosing two numbers and changing their places (Figure4/b), rankingin terms of the first number of the result (Figure 4/a)” sub-strategies.In interview records student explained their listing strategies like this:Sabriye, whose solution is shown in Figure 4/b, said “First of all I chose two numbers; and put one of them at thebeginning and the other one at the end. Later I changed their places.” Mehmet, whose solution is shown in Figure4/c, explained “I wrote the smallest number which was 36. Then I wrote 38, 63 and eventually the biggest number86.” Elife, whose solution is shown in Figure 4/a, said “I put the one starting with 3, then with 6 and eventually with8. Later I put remained ones nearby other, the result was 6.”
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