how to find the learning progressions of students and in which way
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I think you should search in google
For example, a learning progression for proportional reasoning (or ratios) starts at the first level with qualitative reasoning, where a student can make general judgments about ratios. Level two demonstrates progress to simple quantitative reasoning. By level three, the student can use multiplicative reasoning, and by level four, the student is able to flexibly select from a range of strategies to work with ratios.
When it comes to developing proportional reasoning, research shows that children might incorrectly believe that five-sixth is equal to two-thirds since the two quantities in each ratio differ by one, says Leslie Nabors Oláh, a Managing Research Scientist at ETS.
“It’s very important for teachers to understand the thinking behind this ‘wrong answer,’” Oláh says, “because they can then know how to address this misunderstanding with instruction.”