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This means that in the CATs questions had to be asked that went beyond the regular textbook exercises and could reveal a deep level of understanding of division.
At first sight, this CAT looks like a contradiction in terms: assessing students understanding of division without asking them to perform the algorithm they have learned.
In general, the teachers were positive about the CATs as a way to reveal their students' understanding of division in an effective and efficient fashion.
Despite the fact that the teachers did not use the CATs for informed decision-making about their further teaching, they were quite positive in their evaluation of the CATs as a way to reveal their students' understanding of division.
If, however, students do have this deep understanding of division, then they will also be able to use different strategies to deal with division problems, for example, by regrouping, using partitive and quotitative models, or thinking of the relation between multiplication and division.
Students who have a good understanding of division will be able to consider, for example, division as equal sharing, making groups, thinking about the relationship between multiplication and division, and can use this knowledge to solve the division problems without applying the algorithm.
Similar(51)
Despite this, they all recognized that a solution in which the dividend was changed, such as using 600 to solve the division 594 ÷ 6 (see Table 5 (e)), provided clear evidence of students' understanding of the division operation.
However, the real proof of having a good understanding of the division operation is delivered by Task 2, where the students had to solve 594 ÷ 6 without using the division algorithm.
The recent stemming of MLS's winter loan epidemic is down to a greater understanding of the division's rigours.
Further investigations into their transcriptional control mechanisms will have great impact on the fundamental understanding of the division of cell functions between quiescent and proliferating cells and the design of novel therapeutic strategies.
I think it's the understanding of the division.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com