10 October
Today, because of some complications, PJ and I met at CIES for our study session. It was very nice to have a much larger whiteboard so we used them for our entire lesson. This tutoring session was different from all of the previous ones because once concept of impartial fractions he didn't understand at all so I was required to fully teach him on the subject matter. He could easily divide but when he got an answer like "4 remainder 6", he wasn't sure what that really meant compared to when you just solve for whole numbers. It was affecting his ability to answer questions correctly.
One specific problem asked to divide portions of trail mix by ounces. When he solved the answer, he got 6R3 so the impartial fraction that matched it was 6-3/4 but he kept thinking the answer was 6 or 7 and he avoided 6-3/4 even though that was the exact answer. He never understood what the remainder meant. So we stopped doing his homework for a 20 minute rundown of how to convert answers to impartial fractions. We drew out what a remainder was and he asked a lot of good questions that pushed the lesson forward.
After those 20 minutes, it made a lot more sense to him and we sped through his assignment before we had to go.
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