Reflection on the skemp article:
This article gives an explanation to the term 'Faux Amis" whic means words are very alike, but their meanings are different. The author gives an explanation through the example of word 'Histoire' and 'story'. One is a fiction while the other one is a fact. In the same way in mathematics the word 'understanding' is connected to two different meanings. One is 'Intrumental understandin' and the other one is 'Relational understanding'. The first one is understanding without reasons and second one is understanding through reasons. While these two methods of understandings have their own benefits:
Intrumental Understandings is easy to understand, rewards are immediate in this understanding, and less knowledge is involved.
In relational understanding students are more adoptable to new tasks, easier to remember, relational knowledge can be effective as a goal, and relational schemas are organic in quality.
So i think they both have their advantages and disadvantages, but logical and reasonable knowledge will stay and play with a student forever.
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