Great response to the questions, Sir Math Sorcerer. As a math teacher (6th/11th), I agree different students make each class feel unique. I have also found that teaching multiple identical sections you get to recycle jokes from hour to hour and still get laughs. It's awesome.
I'm a middle school math teacher, 6th, 7th, and 8th grade. Currently I am teaching only 7th grade at three levels; intervention, pre-algebra, and advanced. Every year the kids and their challenges change - I've never taught the same way, every year has been different. When you teach the same math every year your resources and knowledge are also expanding, there is always new material (or new to you material). I meet students at an interesting point in their math journey, when they are often questioning the value of learning math or are deep into learning how to be a class clown and also the students who will be going on to serious careers using math all the time. One small idea for the new math teacher: use a variety of colors when working out math problems on a whiteboard, being sure to change colors with the important parts of each concept - I also say out loud that the different colors are meant to make certain parts stand out.
This could be me in the future. I've prepared 2 years for a medical entrance exam in my country. And in the last year I realized this is not what I want to do. I guess my 16 year self could not come to a decision and choose this career. I'm going to change my career path and I'm really afraid at how my father will react. We'll see what happens will happen.
I was in medical school for two years and then switched to studying mathematics, and I am so happy about this decision even though it caused a lot of arguing with my dad, so go for it!
I was fortunate to teach at a private high school for some years long after I had completed my formal math education. There were core topics in geometry or algrbra I taught each year, but I varied the courses each year. Was it a lot more work to constantly write new lesson plans and make new materials? Of course, but then I was invested in the students' experience of the newness, the unfamiliarity, of the process; I never allowed myself to become jaded. As an added benefit, students couldn't use the notes, old tests, etc of their older siblings to avoid doing the hard work of learning. Also, I could choose to extend time and depth on topics the students were enthused about. Teaching is learning too, evergreen and open-ended. You simply need to use your imagination.
I teach GED math to adults looking to get on with their lives. I feel I am teaching high level math if a student doesn't know it. I have BS, MS in math. Godel the great giant of math dealt with the logical underpinnings of mathematics. Today at the library I will introduce primes. I love it.
If the person is bored teaching one subject, they could take online classes part time to teach another subject. I had teachers that taught different subjects. My 7th grade math teacher was later my English teacher in 8th grade. I had another teacher in 8th grade that taught us both social studies, prealgebra and music. That same teacher also worked part time at a store. The person bored with teaching subject might get a part time in something completely different than teaching like that teacher I had.
That's amazing, i never seen a teacher of maths teaching also another class like music or arts, that's cool and so interesting. He probably enjoy a lot his life 'cause he is learning so many things in different areas, i wanna be like that when i grown-up.
@@alvarobarbis5257 it was a she. I think she might have also substituted for our science teacher, but I'm not sure. It was so long ago. I dont know what other countries are like, but in the USA a person can earn a dual degrees to teach 2 subjects. Usually it takes about 6 years to earn a dual BA. The person might earn in the dual BA in English & Social studies or earn it in Math & Science. Then the person has to be certified. I think the person has to be observed in the classroom teaching so many hours to earn teacher certification. I wish you a lot of luck in accomplishing your goals. Good luck. Teaching is a great job choice
Jarek, it is natural to "want to teach higher levels until I reach the top". Many people go for a PhD in math or some science fields with that goal. An alternative approach might be to split your math learning and math teaching efforts. To avoid boredom while teaching the same high school math classes could be a different challenge: learn how your students learn math. Especially with a range of abilities, the better students will tend to learn one way as they add to a stronger foundation, while other students may stumble while learning. Approaching both evaluating each students needs and determining ways to effectively meet them is the best way to avoid boredom.
💯 It is a good tip for math teachers that write on the board clearly because the student can see each part of formola or solution for problems then sorting them in their minds easily and fastly.
There is a quote: “Insanity is doing the same thing over and over again and expecting different results.” Perhaps the author of the letter will try the concept of calculus: “Change is the only constant” in teaching.
I got bored teaching math that I taught myself computer science to be able to teach it. I got bored with the level of computer science that now I'm pursuing a masters in CS. Would have stayed a teacher if it paid better and it didn't increase job responsibilities
probability of drawing a diamond card and an ace card, in that order from a pack of two consecutive draw, the card not being replaced Answer?. Any one can send this question solution
Dear Sir, I am currently a finance student and have recently seen your video on a book named "An elementary introduction to mathematical finance". The thing I'm stressed about is that math classes we have as part of the University are very basic. I went to a mathematical gymnasium (high school) and I believe to have a decent understanding of many important concepts. However, I am really rusty, since, as I said, the courses we have on maths are really basic. I find the premises for the formula really interesting and I want to understand it, I want to read the book, but for that I need to practice and get in shape. Do you have recommendation of where do I even begin? I like maths, I want to learn about it because it's beautiful and because I will be able to apply it in what I hope to do in my career. Thanks in advance. Sincerely Yours, Tom
As you read the textbook, set aside the numbers and use identifiers instead. For example, if it uses "interest rate is 6%", use "r" instead. If it uses "an initial investment of $5000", use "P" or "A_0" instead. As you do the example problems like this, you will see the patterns in the math and finance better than if you use numbers. You will see where the interest rate remains part of the solution, rather than having some disconnected number like 300 in the answer.
what is the best calculator app for android that will help me self study math i don't want to spend a 100$ on a calculator and don't need a physical one
I taught for 32 years, everything from Algebra 1 to AP Calculus. While many teachers like to teach the same things year after year so they don't have to prep so much (and they're lazy) I very intentionally made sure every year to change out one course or another to keep fresh and energized. Being one of the only teachers in the school with a real degree in math, I did wind up teaching dual-enrollment Pre-Calculus for 15 years straight and only an occasional textbook change and the advent of graphing calculators staved off the boredom. BTW: the hardest class to teach is Geometry. Why? Because colleges don't teach Euclidean Geometry the way it's taught in the high schools. I'd argue we teach waaaay too much geometry anyway, but that's another topic.
Hello! Could you share your geometry teaching experience in more detail? What textbook did you use for high school geometry/honor geometry class? And how should it be taught from your standpoint? Thanks!
Great response to the questions, Sir Math Sorcerer. As a math teacher (6th/11th), I agree different students make each class feel unique.
I have also found that teaching multiple identical sections you get to recycle jokes from hour to hour and still get laughs. It's awesome.
I'm a middle school math teacher, 6th, 7th, and 8th grade. Currently I am teaching only 7th grade at three levels; intervention, pre-algebra, and advanced. Every year the kids and their challenges change - I've never taught the same way, every year has been different. When you teach the same math every year your resources and knowledge are also expanding, there is always new material (or new to you material). I meet students at an interesting point in their math journey, when they are often questioning the value of learning math or are deep into learning how to be a class clown and also the students who will be going on to serious careers using math all the time. One small idea for the new math teacher: use a variety of colors when working out math problems on a whiteboard, being sure to change colors with the important parts of each concept - I also say out loud that the different colors are meant to make certain parts stand out.
I’m a medical doctor and hated it. Fortunately I no longer treat patients. I do love learning math as a hobby!
This could be me in the future. I've prepared 2 years for a medical entrance exam in my country. And in the last year I realized this is not what I want to do. I guess my 16 year self could not come to a decision and choose this career. I'm going to change my career path and I'm really afraid at how my father will react. We'll see what happens will happen.
I was in medical school for two years and then switched to studying mathematics, and I am so happy about this decision even though it caused a lot of arguing with my dad, so go for it!
Is your username related to DS9?
I was fortunate to teach at a private high school for some years long after I had completed my formal math education. There were core topics in geometry or algrbra I taught each year, but I varied the courses each year. Was it a lot more work to constantly write new lesson plans and make new materials? Of course, but then I was invested in the students' experience of the newness, the unfamiliarity, of the process; I never allowed myself to become jaded. As an added benefit, students couldn't use the notes, old tests, etc of their older siblings to avoid doing the hard work of learning. Also, I could choose to extend time and depth on topics the students were enthused about. Teaching is learning too, evergreen and open-ended. You simply need to use your imagination.
I teach GED math to adults looking to get on with their lives. I feel I am teaching high level math if a student doesn't know it. I have BS, MS in math. Godel the great giant of math dealt with the logical underpinnings of mathematics. Today at the library I will introduce primes. I love it.
If the person is bored teaching one subject, they could take online classes part time to teach another subject. I had teachers that taught different subjects. My 7th grade math teacher was later my English teacher in 8th grade. I had another teacher in 8th grade that taught us both social studies, prealgebra and music. That same teacher also worked part time at a store. The person bored with teaching subject might get a part time in something completely different than teaching like that teacher I had.
That's amazing, i never seen a teacher of maths teaching also another class like music or arts, that's cool and so interesting. He probably enjoy a lot his life 'cause he is learning so many things in different areas, i wanna be like that when i grown-up.
@@alvarobarbis5257 it was a she. I think she might have also substituted for our science teacher, but I'm not sure. It was so long ago. I dont know what other countries are like, but in the USA a person can earn a dual degrees to teach 2 subjects. Usually it takes about 6 years to earn a dual BA. The person might earn in the dual BA in English & Social studies or earn it in Math & Science. Then the person has to be certified. I think the person has to be observed in the classroom teaching so many hours to earn teacher certification. I wish you a lot of luck in accomplishing your goals. Good luck. Teaching is a great job choice
@@alvarobarbis5257 A physics teacher at my high school was also head of the music department.
New hat to the inventory eh? Looks Great!
I love watching your videos after a long day of studying math to give me motivation to do it again tomorrow. 😎
It is not about teaching math it is about teaching math to the students.
To emphasize your point even more, it is about students learning math through the assistance of the teaching.
Really useful vid. Thank you. More vids on advise for teachers / tutors appreciated.
Jarek, it is natural to "want to teach higher levels until I reach the top". Many people go for a PhD in math or some science fields with that goal.
An alternative approach might be to split your math learning and math teaching efforts. To avoid boredom while teaching the same high school math classes could be a different challenge: learn how your students learn math. Especially with a range of abilities, the better students will tend to learn one way as they add to a stronger foundation, while other students may stumble while learning. Approaching both evaluating each students needs and determining ways to effectively meet them is the best way to avoid boredom.
💯 It is a good tip for math teachers that write on the board clearly
because the student can see each part of formola or solution for problems then sorting them in their minds easily and fastly.
There is a quote: “Insanity is doing the same thing over and over again and expecting different results.” Perhaps the author of the letter will try the concept of calculus: “Change is the only constant” in teaching.
Thank you for responding to my question!
Great beanie: very 'Michael Stipe'! 👍
Very interesting insite from the teachers point of view. Im sure others are interested in teaching!
I got bored teaching math that I taught myself computer science to be able to teach it. I got bored with the level of computer science that now I'm pursuing a masters in CS. Would have stayed a teacher if it paid better and it didn't increase job responsibilities
Hi, math sorcerer. I want an advice. Should I try to solve the examples too or just the exercises? Also, should I solve every problem in a book?
Math Sorcerer , please nake a video titled roadmap of a mathematician.
About how and what topics, courses one studies to become a mathematician
Cool hat, Sorcerer
The Math Sorcerer seems like the type of teacher to throw pizza parties in the classroom.
probability of drawing a diamond card and an ace card, in that order from a pack of two consecutive draw, the card not being replaced
Answer?.
Any one can send this question solution
Dear Sir,
I am currently a finance student and have recently seen your video on a book named "An elementary introduction to mathematical finance". The thing I'm stressed about is that math classes we have as part of the University are very basic. I went to a mathematical gymnasium (high school) and I believe to have a decent understanding of many important concepts. However, I am really rusty, since, as I said, the courses we have on maths are really basic. I find the premises for the formula really interesting and I want to understand it, I want to read the book, but for that I need to practice and get in shape. Do you have recommendation of where do I even begin? I like maths, I want to learn about it because it's beautiful and because I will be able to apply it in what I hope to do in my career. Thanks in advance.
Sincerely Yours,
Tom
As you read the textbook, set aside the numbers and use identifiers instead. For example, if it uses "interest rate is 6%", use "r" instead. If it uses "an initial investment of $5000", use "P" or "A_0" instead. As you do the example problems like this, you will see the patterns in the math and finance better than if you use numbers. You will see where the interest rate remains part of the solution, rather than having some disconnected number like 300 in the answer.
I'm about to start teaching Mathematics for Junior and Senior high school students. Please could you recommend good textbooks for me?
James Stewart, Ron Larson, Frank Demana, Richard Brown, and Michael Sullivan have partial sequences of textbooks which are reasonable.
Thank you very much. I appreciate.
what is the best calculator app for android that will help me self study math i don't want to spend a 100$ on a calculator and don't need a physical one
I want to learn trigonometry how do I start
Check out some of TMS's videos on Algebra and PreCalculus textbooks which include significant units on Trigonometry.
I taught for 32 years, everything from Algebra 1 to AP Calculus. While many teachers like to teach the same things year after year so they don't have to prep so much (and they're lazy) I very intentionally made sure every year to change out one course or another to keep fresh and energized. Being one of the only teachers in the school with a real degree in math, I did wind up teaching dual-enrollment Pre-Calculus for 15 years straight and only an occasional textbook change and the advent of graphing calculators staved off the boredom. BTW: the hardest class to teach is Geometry. Why? Because colleges don't teach Euclidean Geometry the way it's taught in the high schools. I'd argue we teach waaaay too much geometry anyway, but that's another topic.
Hello! Could you share your geometry teaching experience in more detail? What textbook did you use for high school geometry/honor geometry class? And how should it be taught from your standpoint? Thanks!