Needless to say, my confidence was hammered as I took the first step into the course. Expecting a course related to computer, I found myself sitting in a room teaching logical math that excluded the use of numbers.
The concept of doing math completely based on logical proof and theories baffles my mind as I am comfortable with math that is applicable and numerical. Despite the fact that I was able to ease through the week 1 course material, understanding sets and quantifiers, I surrendered to the introduction of implication in the week 2 course material. It challenged my thinking and opened up my mind; I learned that implication is not that A caused B, but if A is true then B has to be true to be valid. As a result of the lack of understanding, I was confused among the relationships of implication, converse and contrapositive. To handle the difficult situation, I resorted my old study habit; I flip through the notes I take in class to look back at the solutions and comments and word backwards in order to figure out my understanding. In each examples, I was distinguishing the relationship between the implications as different statements provide different information on a implication. Soon, I was able to understand that implication and contrapositive is identical statements that give the same boolean answer, whereas converse is never the identical of implication.
Overall in the first weeks, I retreated back to the comfortable way of facing challenges. However, I hope for a change in ways to tackle challenging questions by following the steps recommended- understand, plan and carry out- in order for a broader and a more diverse perspective.
*A similar post that regard the situation of week 1.
http://csc165judy2014.blogspot.ca/2014/09/week-02-journal-01.html?showComment=1417664282273#c3435835114479682321
The concept of doing math completely based on logical proof and theories baffles my mind as I am comfortable with math that is applicable and numerical. Despite the fact that I was able to ease through the week 1 course material, understanding sets and quantifiers, I surrendered to the introduction of implication in the week 2 course material. It challenged my thinking and opened up my mind; I learned that implication is not that A caused B, but if A is true then B has to be true to be valid. As a result of the lack of understanding, I was confused among the relationships of implication, converse and contrapositive. To handle the difficult situation, I resorted my old study habit; I flip through the notes I take in class to look back at the solutions and comments and word backwards in order to figure out my understanding. In each examples, I was distinguishing the relationship between the implications as different statements provide different information on a implication. Soon, I was able to understand that implication and contrapositive is identical statements that give the same boolean answer, whereas converse is never the identical of implication.
Overall in the first weeks, I retreated back to the comfortable way of facing challenges. However, I hope for a change in ways to tackle challenging questions by following the steps recommended- understand, plan and carry out- in order for a broader and a more diverse perspective.
*A similar post that regard the situation of week 1.
http://csc165judy2014.blogspot.ca/2014/09/week-02-journal-01.html?showComment=1417664282273#c3435835114479682321
没有评论:
发表评论