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Table 5 Types of solutions for 594 ÷ 6 and the percentage of students using them

From: Teachers’ use of classroom assessment techniques in primary mathematics education—an explorative study with six Chinese teachers

Solution type Percentage of studentsz Example
a Verbal description of division algorithm 6 %
b Digit-based splitting the dividend 65 %
c Digit-based splitting the dividend with the answer expressed as a whole number 10 %
d Whole-number-based splitting the dividend 12 %
e Whole-number-based changing the dividend 7 %
  1. yTranslated from Chinese: Firstly, I used 5 in the hundreds place divided by 6, which was not enough. Then I used 59 divided by 6. I wrote down 9. In addition, I used 59 to be divided by 6, which equals to 9. So the quotient is 99
  2. zThe percentage is based on the number of students who provided a clear explanation of how they solved the problem (N = 127)