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Steps to Studying in Math [closed]
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I'm 16 and quite a late-start in math. I was home-schooled for a while and just got interested in math recently. I would like to make a footprint in the field of mathematics when I'm older and would like to know my logical next path for achieving that goal. Currently I am using the Art of Problem Solving's Intro to Algebra and Intermediate Algebra. During my winter break I plan to go on to Counting & Probability and then the Introduction to Number Theory, and when I get the time I will finish their Intro to Geometry. I have no experience prior to Algebra in homeschool as I didn't study much math in homeschool between grades 3-8. My current prior experience includes Algebra 1 and 2, and Intermediate Algebra in college. The reason I am using the AoPS books is because I feel lied to from my school because I thought I was doing well, and then I look onto problems like the IMO, AMC 8, 10,12 and I have no clue where to start. This is why I would like to begin studying math, intensively. Thank you all
algebra-precalculus career-development
asked Jul 22 at 2:30
Rahat R.
161
closed as off-topic by Parcly Taxel, Siong Thye Goh, max_zorn, José Carlos Santos, N. F. Taussig Jul 22 at 9:01
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." РParcly Taxel, Siong Thye Goh, max_zorn, Jos̩ Carlos Santos, N. F. Taussig
add a comment |Â
up vote
1
down vote
favorite
I'm 16 and quite a late-start in math. I was home-schooled for a while and just got interested in math recently. I would like to make a footprint in the field of mathematics when I'm older and would like to know my logical next path for achieving that goal. Currently I am using the Art of Problem Solving's Intro to Algebra and Intermediate Algebra. During my winter break I plan to go on to Counting & Probability and then the Introduction to Number Theory, and when I get the time I will finish their Intro to Geometry. I have no experience prior to Algebra in homeschool as I didn't study much math in homeschool between grades 3-8. My current prior experience includes Algebra 1 and 2, and Intermediate Algebra in college. The reason I am using the AoPS books is because I feel lied to from my school because I thought I was doing well, and then I look onto problems like the IMO, AMC 8, 10,12 and I have no clue where to start. This is why I would like to begin studying math, intensively. Thank you all
algebra-precalculus career-development
asked Jul 22 at 2:30
Rahat R.
161
closed as off-topic by Parcly Taxel, Siong Thye Goh, max_zorn, José Carlos Santos, N. F. Taussig Jul 22 at 9:01
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." РParcly Taxel, Siong Thye Goh, max_zorn, Jos̩ Carlos Santos, N. F. Taussig
I think this question is off-topic fior this site, according to help center.
– user202729
Jul 22 at 3:18
Agreed the question soundly fits not on this site: "Questions seeking personal advice for choosing a course, academic program, career path, etc. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances."
– Mason
Jul 22 at 3:29
add a comment |Â
up vote
1
down vote
favorite
up vote
1
down vote
favorite
I'm 16 and quite a late-start in math. I was home-schooled for a while and just got interested in math recently. I would like to make a footprint in the field of mathematics when I'm older and would like to know my logical next path for achieving that goal. Currently I am using the Art of Problem Solving's Intro to Algebra and Intermediate Algebra. During my winter break I plan to go on to Counting & Probability and then the Introduction to Number Theory, and when I get the time I will finish their Intro to Geometry. I have no experience prior to Algebra in homeschool as I didn't study much math in homeschool between grades 3-8. My current prior experience includes Algebra 1 and 2, and Intermediate Algebra in college. The reason I am using the AoPS books is because I feel lied to from my school because I thought I was doing well, and then I look onto problems like the IMO, AMC 8, 10,12 and I have no clue where to start. This is why I would like to begin studying math, intensively. Thank you all
algebra-precalculus career-development
asked Jul 22 at 2:30
Rahat R.
161
I'm 16 and quite a late-start in math. I was home-schooled for a while and just got interested in math recently. I would like to make a footprint in the field of mathematics when I'm older and would like to know my logical next path for achieving that goal. Currently I am using the Art of Problem Solving's Intro to Algebra and Intermediate Algebra. During my winter break I plan to go on to Counting & Probability and then the Introduction to Number Theory, and when I get the time I will finish their Intro to Geometry. I have no experience prior to Algebra in homeschool as I didn't study much math in homeschool between grades 3-8. My current prior experience includes Algebra 1 and 2, and Intermediate Algebra in college. The reason I am using the AoPS books is because I feel lied to from my school because I thought I was doing well, and then I look onto problems like the IMO, AMC 8, 10,12 and I have no clue where to start. This is why I would like to begin studying math, intensively. Thank you all
algebra-precalculus career-development
asked Jul 22 at 2:30
Rahat R.
161
asked Jul 22 at 2:30
Rahat R.
161
asked Jul 22 at 2:30
Rahat R.
161
asked Jul 22 at 2:30
Rahat R.
161
161
closed as off-topic by Parcly Taxel, Siong Thye Goh, max_zorn, José Carlos Santos, N. F. Taussig Jul 22 at 9:01
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." РParcly Taxel, Siong Thye Goh, max_zorn, Jos̩ Carlos Santos, N. F. Taussig
closed as off-topic by Parcly Taxel, Siong Thye Goh, max_zorn, José Carlos Santos, N. F. Taussig Jul 22 at 9:01
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." РParcly Taxel, Siong Thye Goh, max_zorn, Jos̩ Carlos Santos, N. F. Taussig
I think this question is off-topic fior this site, according to help center.
– user202729
Jul 22 at 3:18
Agreed the question soundly fits not on this site: "Questions seeking personal advice for choosing a course, academic program, career path, etc. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances."
– Mason
Jul 22 at 3:29
add a comment |Â
I think this question is off-topic fior this site, according to help center.
– user202729
Jul 22 at 3:18
Agreed the question soundly fits not on this site: "Questions seeking personal advice for choosing a course, academic program, career path, etc. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances."
– Mason
Jul 22 at 3:29
I think this question is off-topic fior this site, according to help center.
– user202729
Jul 22 at 3:18
I think this question is off-topic fior this site, according to help center.
– user202729
Jul 22 at 3:18
Agreed the question soundly fits not on this site: "Questions seeking personal advice for choosing a course, academic program, career path, etc. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances."
– Mason
Jul 22 at 3:29
Agreed the question soundly fits not on this site: "Questions seeking personal advice for choosing a course, academic program, career path, etc. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances."
– Mason
Jul 22 at 3:29
add a comment |Â
1 Answer
1
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up vote
2
down vote
Yup. AOPS is a good start. Their website also has a forum like this one that you can use to ask and answer questions I believe.
Math is a big topic. You may use the texts you reference above to explore Number theory, Probablity, Algebra, etc. But the real issue is that there isn't really a "right" path to learning math. Study the things that you find interesting. Take those interests seriously. When you have a number theory puzzle you are curious about: document the question. Sit with a few days. Try and solve it. Can't? See if the Aops text on number theory is a rewarding resource. If it is: great. It isn't? Document the question again on the AOPS website. Can they help? No? Ask the question again here.
Here is the issue: no one can tell you that you should study X then Y then Z. Educators will tell you that but honestly they don't know that studying differential equations will be more relevant to your life than studying discrete structures. My point is you should study the things that make you happy and worry less about "making a footprint" or being confident that you are the same level as students who are taking the AMC 8,10,12. These are quiet enjoyable/challenging puzzles that one can look at. It should be noted that work of mathematics discovery and solving a challenging puzzle on a timed test are connected only in a very superficial way.
I think your school may be communicating to you that are you doing fine in math... because you are doing fine in math. It is not their job to supply you with all the resources for you to do the things you want to do... Want to study number theory? Go for it.
answered Jul 22 at 3:25
Mason
1,2171224
Thank you very much for your response. I will definitely apply those techniques to my learning, and thank you for telling me to worry less... I always thought only my parents say this but since you are as well it must be true that I should focus more on the present day's duty and let a goal form from my progress. Thanks again :)
– Rahat R.
Jul 22 at 5:50
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
2
down vote
Yup. AOPS is a good start. Their website also has a forum like this one that you can use to ask and answer questions I believe.
Math is a big topic. You may use the texts you reference above to explore Number theory, Probablity, Algebra, etc. But the real issue is that there isn't really a "right" path to learning math. Study the things that you find interesting. Take those interests seriously. When you have a number theory puzzle you are curious about: document the question. Sit with a few days. Try and solve it. Can't? See if the Aops text on number theory is a rewarding resource. If it is: great. It isn't? Document the question again on the AOPS website. Can they help? No? Ask the question again here.
Here is the issue: no one can tell you that you should study X then Y then Z. Educators will tell you that but honestly they don't know that studying differential equations will be more relevant to your life than studying discrete structures. My point is you should study the things that make you happy and worry less about "making a footprint" or being confident that you are the same level as students who are taking the AMC 8,10,12. These are quiet enjoyable/challenging puzzles that one can look at. It should be noted that work of mathematics discovery and solving a challenging puzzle on a timed test are connected only in a very superficial way.
I think your school may be communicating to you that are you doing fine in math... because you are doing fine in math. It is not their job to supply you with all the resources for you to do the things you want to do... Want to study number theory? Go for it.
answered Jul 22 at 3:25
Mason
1,2171224
Thank you very much for your response. I will definitely apply those techniques to my learning, and thank you for telling me to worry less... I always thought only my parents say this but since you are as well it must be true that I should focus more on the present day's duty and let a goal form from my progress. Thanks again :)
– Rahat R.
Jul 22 at 5:50
add a comment |Â
up vote
2
down vote
Yup. AOPS is a good start. Their website also has a forum like this one that you can use to ask and answer questions I believe.
Math is a big topic. You may use the texts you reference above to explore Number theory, Probablity, Algebra, etc. But the real issue is that there isn't really a "right" path to learning math. Study the things that you find interesting. Take those interests seriously. When you have a number theory puzzle you are curious about: document the question. Sit with a few days. Try and solve it. Can't? See if the Aops text on number theory is a rewarding resource. If it is: great. It isn't? Document the question again on the AOPS website. Can they help? No? Ask the question again here.
Here is the issue: no one can tell you that you should study X then Y then Z. Educators will tell you that but honestly they don't know that studying differential equations will be more relevant to your life than studying discrete structures. My point is you should study the things that make you happy and worry less about "making a footprint" or being confident that you are the same level as students who are taking the AMC 8,10,12. These are quiet enjoyable/challenging puzzles that one can look at. It should be noted that work of mathematics discovery and solving a challenging puzzle on a timed test are connected only in a very superficial way.
I think your school may be communicating to you that are you doing fine in math... because you are doing fine in math. It is not their job to supply you with all the resources for you to do the things you want to do... Want to study number theory? Go for it.
answered Jul 22 at 3:25
Mason
1,2171224
Thank you very much for your response. I will definitely apply those techniques to my learning, and thank you for telling me to worry less... I always thought only my parents say this but since you are as well it must be true that I should focus more on the present day's duty and let a goal form from my progress. Thanks again :)
– Rahat R.
Jul 22 at 5:50
add a comment |Â
up vote
2
down vote
up vote
2
down vote
Yup. AOPS is a good start. Their website also has a forum like this one that you can use to ask and answer questions I believe.
Math is a big topic. You may use the texts you reference above to explore Number theory, Probablity, Algebra, etc. But the real issue is that there isn't really a "right" path to learning math. Study the things that you find interesting. Take those interests seriously. When you have a number theory puzzle you are curious about: document the question. Sit with a few days. Try and solve it. Can't? See if the Aops text on number theory is a rewarding resource. If it is: great. It isn't? Document the question again on the AOPS website. Can they help? No? Ask the question again here.
Here is the issue: no one can tell you that you should study X then Y then Z. Educators will tell you that but honestly they don't know that studying differential equations will be more relevant to your life than studying discrete structures. My point is you should study the things that make you happy and worry less about "making a footprint" or being confident that you are the same level as students who are taking the AMC 8,10,12. These are quiet enjoyable/challenging puzzles that one can look at. It should be noted that work of mathematics discovery and solving a challenging puzzle on a timed test are connected only in a very superficial way.
I think your school may be communicating to you that are you doing fine in math... because you are doing fine in math. It is not their job to supply you with all the resources for you to do the things you want to do... Want to study number theory? Go for it.
answered Jul 22 at 3:25
Mason
1,2171224
Yup. AOPS is a good start. Their website also has a forum like this one that you can use to ask and answer questions I believe.
Math is a big topic. You may use the texts you reference above to explore Number theory, Probablity, Algebra, etc. But the real issue is that there isn't really a "right" path to learning math. Study the things that you find interesting. Take those interests seriously. When you have a number theory puzzle you are curious about: document the question. Sit with a few days. Try and solve it. Can't? See if the Aops text on number theory is a rewarding resource. If it is: great. It isn't? Document the question again on the AOPS website. Can they help? No? Ask the question again here.
Here is the issue: no one can tell you that you should study X then Y then Z. Educators will tell you that but honestly they don't know that studying differential equations will be more relevant to your life than studying discrete structures. My point is you should study the things that make you happy and worry less about "making a footprint" or being confident that you are the same level as students who are taking the AMC 8,10,12. These are quiet enjoyable/challenging puzzles that one can look at. It should be noted that work of mathematics discovery and solving a challenging puzzle on a timed test are connected only in a very superficial way.
I think your school may be communicating to you that are you doing fine in math... because you are doing fine in math. It is not their job to supply you with all the resources for you to do the things you want to do... Want to study number theory? Go for it.
answered Jul 22 at 3:25
Mason
1,2171224
answered Jul 22 at 3:25
Mason
1,2171224
answered Jul 22 at 3:25
Mason
1,2171224
answered Jul 22 at 3:25
Mason
1,2171224
1,2171224
Thank you very much for your response. I will definitely apply those techniques to my learning, and thank you for telling me to worry less... I always thought only my parents say this but since you are as well it must be true that I should focus more on the present day's duty and let a goal form from my progress. Thanks again :)
– Rahat R.
Jul 22 at 5:50
add a comment |Â
Thank you very much for your response. I will definitely apply those techniques to my learning, and thank you for telling me to worry less... I always thought only my parents say this but since you are as well it must be true that I should focus more on the present day's duty and let a goal form from my progress. Thanks again :)
– Rahat R.
Jul 22 at 5:50
Thank you very much for your response. I will definitely apply those techniques to my learning, and thank you for telling me to worry less... I always thought only my parents say this but since you are as well it must be true that I should focus more on the present day's duty and let a goal form from my progress. Thanks again :)
– Rahat R.
Jul 22 at 5:50
Thank you very much for your response. I will definitely apply those techniques to my learning, and thank you for telling me to worry less... I always thought only my parents say this but since you are as well it must be true that I should focus more on the present day's duty and let a goal form from my progress. Thanks again :)
– Rahat R.
Jul 22 at 5:50
add a comment |Â
I think this question is off-topic fior this site, according to help center.
– user202729
Jul 22 at 3:18
Agreed the question soundly fits not on this site: "Questions seeking personal advice for choosing a course, academic program, career path, etc. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances."
– Mason
Jul 22 at 3:29