What are your goals for this course you created (what do you want to do with it/what do you want it to become)?
This is a question I have not been able to completely answer yet. The further I progress through working on the course, I have a clearer picture of what I imagine this can turn into. It is very doubtful that this will be taught in school, so I plan on having videos online for each lesson posted on Youtube. Most resources I plan on sharing publicly online for use in mid-2018.
What exactly have you created for this course?
As of now, I have a rough version of standards, or a list of everything taught in the three-year course. There is a Google Drive folder that has a majority of the public information in regards to the Googology Course. There is a link to this on the main Googology Course wiki page. Also, there is a textbook that is only partially created. There is still much to be placed in. The most exciting asset it the Youtube page, which is still fairly empty, but should eventually contain many videos, explaining everything taught in the Googology Course.
What is there left to create?
The textbook for Googology I and the Youtube page for Googology I are the highest things on my agenda. I plan on working on these for a while and getting as much done as I can. Also, I am working on creating the final test, which will include 100 multiple choice questions, a couple of written questions, none of which admit a calculator :). Basically everything a classroom would need is being created.
Why do you think learning this course could be beneficial?
Googology in general enhances problem solving and encourages new ways to view mathematics. For example, which is larger; 13 to the 97th power or 10 to the 108th power? Being able to manipulate numbers and dig into the heart of math can not only teach students information, but teach them how to figure out information on their own, and become more intelligent for later, more difficult math courses.
What have you taken from this/what has it taught you that you have been able to apply in other aspects of school and life?
Googology is not a very well known field of mathematics, therefore, there is still much to be discovered. Writing a course forced me to make a plethora of discoveries and new properties in mathematics that have never been found before. It is so satisfying to create properties that I have discovered and in itself, leads to more innovations and faster ways to solve math. Before the Googology Course, there was no well-known way of solving exponents quickly, but now, in the first unit of Googology 1, students learn how to solve math quickly, without a calculator.
This is a question I have not been able to completely answer yet. The further I progress through working on the course, I have a clearer picture of what I imagine this can turn into. It is very doubtful that this will be taught in school, so I plan on having videos online for each lesson posted on Youtube. Most resources I plan on sharing publicly online for use in mid-2018.
What exactly have you created for this course?
As of now, I have a rough version of standards, or a list of everything taught in the three-year course. There is a Google Drive folder that has a majority of the public information in regards to the Googology Course. There is a link to this on the main Googology Course wiki page. Also, there is a textbook that is only partially created. There is still much to be placed in. The most exciting asset it the Youtube page, which is still fairly empty, but should eventually contain many videos, explaining everything taught in the Googology Course.
What is there left to create?
The textbook for Googology I and the Youtube page for Googology I are the highest things on my agenda. I plan on working on these for a while and getting as much done as I can. Also, I am working on creating the final test, which will include 100 multiple choice questions, a couple of written questions, none of which admit a calculator :). Basically everything a classroom would need is being created.
Why do you think learning this course could be beneficial?
Googology in general enhances problem solving and encourages new ways to view mathematics. For example, which is larger; 13 to the 97th power or 10 to the 108th power? Being able to manipulate numbers and dig into the heart of math can not only teach students information, but teach them how to figure out information on their own, and become more intelligent for later, more difficult math courses.
What have you taken from this/what has it taught you that you have been able to apply in other aspects of school and life?
Googology is not a very well known field of mathematics, therefore, there is still much to be discovered. Writing a course forced me to make a plethora of discoveries and new properties in mathematics that have never been found before. It is so satisfying to create properties that I have discovered and in itself, leads to more innovations and faster ways to solve math. Before the Googology Course, there was no well-known way of solving exponents quickly, but now, in the first unit of Googology 1, students learn how to solve math quickly, without a calculator.
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