HOW DO TOP STUDENTS STUDY IN NORTH AMERICA?
MIT
normally does not rank its students. So if you hear that someone
graduated "magna cum laude" from MIT you can instantly know
that this claim is a lie.
But MIT does occasionally rank students based on grades when it comes to scholarship applications. During one such ranking I discovered I was the top ranking student in terms of grades in my graduate class.
During the three years I was at MIT I did two masters degrees. I maintained a 5.0/5.0 GPA in one of my MIT masters and 4.9/5.0 in my other MIT masters until my very last semester when I had to fly to job interviews and couldn't attend all my classes.
I achieved these grades while doing a double research load. That is I worked simultaneously for an MIT professor and two Harvard Medical School professors.
I consider myself a professional student/learner and believe that there are definitely techniques that I learned that can also be used by others to improve their grades.
I offer the following advice based on my experience:
1. Write you notes in a way where you can test your retention and understanding. Many people write notes that do a great job summarizing their materials but their notes are not designed to promote learning, retention or diagnosis of their weaknesses. But my notes can.
Simply put my notes can be used like flashcards because I write them in a form where I separate a "stimulus" from a "response." The stimulus are cues or questions (think: front side of flashcard), while the response is the answer to the cue (think: back of flashcard). But the stimuli are to the left of a margin, while the responses are to the right. The key advantage of this is that just by putting a sheet of paper on top of your notes, you can hide the responses, while leaving the stimuli visible. You can have multiple margins and multiple levels of stimuli and response for greater information density. When you get good at this you can write notes in this form in real-time. To get some idea of what I'm talking about google for "Cornell Notetaking method" My notetaking method is a variant of this.
To give you an idea of how powerful this notetaking method can be, I was able to learn several course just hours before the exam and still got an "A" in all of them during a difficult semester where I had too many competing priorities to spend long hours studying. I attribute this ability almost completely to this notetaking method.
2. Develop the ability to become an active reader. Don't just passively read material you are given. But pose questions, develop hypotheses and actively test them as you read through the material. I think this is what another poster referred to when he advised that you should develop a "mental model" of whatever concept they are teaching you. Having a mental model will give you the intuition and ability to answer a wider range of questions than would be otherwise possible if you lacked such a mental model.
Where do you get this model? You creatively develop one as you are reading to try to explain the facts as they are presented to you. Sometimes you have to guess the model based on scarce evidence. Sometimes it is handed to you. If your model is a good one it should at least be able to explain what you are reading.
Having a model also tells you what to look for to disprove it -- so you can be hypersensitive for this disconfirming evidence. In fact, while you are reading you should be making predictions (in the form of one or more scenarios of where the narrative could lead) and carefully checking if the narrative is going there. You should also be making predictions and seeking contradictions to these predictions -- so you can quickly find out if your model is wrong.
Sometimes you may have two or more different models that can explain the evidence, so you task will be to quickly formulate questions that can prove one model while disconfirming the others. I suggest focusing on raising questions that could confirm/disprove the mostly likely one while disproving the others (think: differential diagnoses in medicine).
But once you have such a model that (i) explains the evidence and (ii) passes all the disconfirming tests you can throw at it then you have something you can interpolate and extrapolate from to answer far more than was initially explained to you.
Such models also makes retention easier because you only need to remember the model as opposed to the endless array of facts it explains. Of course, your model could, be wrong, but that is why you actively test it as you are reading, and adjust it as necessary. Think of this process as the scientific method being applied by you, to try to discover the truth as best you can.
Sometimes you will still be left with contradictions that even your best models cannot explain. I often found compiling my questions and speaking to the professor after class to be a time efficient of resolving these contradictions.
I had to learn how to do this mental modelling as a survival mechanism to pass my studies at the University of Waterloo -- where their teaching philosophy is misnomer because their teaching philosophy is to not teach as well as they could.
You can see this from their grading philosophy. Although they don't use a bell curve or other statistical grade adjustment, they make their exams so hard that the average is usually between 68 (C+) and 72 (B-) in spite of the fact that their minimum admission grades are among the highest in Canada (you need more than A+ to get into several of their engineering programs).
The only way they can achieve such low test averages from otherwise high performing students is by holding back some of what they know, and then testing what they didn't explain well in lecture on their exams; or by not teaching to the best of their ability.
This forces students to develop the ability to teach themselves, often from materials that do not explain things well, or lack the introductory background knowledge needed to understand the material.
I realized I could defend against such tactics by reverse engineering the results into theories that would produce those same results: a mental model induced from scarce facts.
Then when I got to MIT I found myself in a place with the opposite teaching philosophy. Unlike Waterloo, if the whole class got an "A" the professors would be proud and happy (whereas at Waterloo this would be the cause for a professor's reprimand).
The students were used to dealing with people who actually wanted them to understand the material. But I felt the ability to reverse engineer facts into theory gave me an advantage in this environment because it allowed me to learn more rapidly and with less information.
3. Be of service to your fellow classmates. I've personally observed and heard anecdotal stories that many students in highly competitive programs are reluctant to share what they know with their peers; a good example being the vast number of students in a top ranked science programs competing for the very few coveted spots in med school. I've seen people in such situations be afraid to share what they know because the fear it could lead to the other students "getting ahead" while leaving them behind. I would actually recommend doing the opposite: share liberally. You can't expect help from others if you are unwilling to help others yourself.
I spent hours tutoring people in subjects I was strong in. But, conversely those same people were usually happy to help me with my weaknesses when I needed it. I also found it easier to get good teammates -- which is essential to getting good grades in team-based classes. I found I learned a LOT from other people. And their questions helped me to prepare for questions I may not have thought of -- some of which would appear on the exams.
4. Understand how the professor grades. Like the real world, the academic world is not always fair. You need to understand who is grading you and what they are looking for. Oddly, if you actually answer questions as written, you won't get full marks from some teachers. Some professors expected more than the answer. Some only accepted the answers taught in class as opposed to other factually correct answers. Some expected you to not even evaluate whether multiple choice answers were true or not; only to notice which answer choices aligned or did not align with the theories taught in class. Some highly value participation in which case you ought to have a mental model of what they are teaching based on their assigned readings. The sooner you know who you are dealing with, the sooner you can adjust to their way of grading. Thankfully I considered the vast majority of my professors to have graded in a fair manner.
5. Get involved in research while still in undergrad. Academics is a means to an end. To me that end was "solving problems" and "building stuff" specifically systems and organizations. Depending on the school you apply for, your research may be just as much important, if not more important than your grades. In fact if all you have are good grades your chances of getting into a top ranked CS program with a research component (e.g. MIT, CMU) are slim to nil; though you might still be able to get into a top-ranked courseware-based Masters (such as Stanford where there is no masters thesis).
I did an Artificial Intelligence research project in undergrad and posted it on the internet. Not long after it was cited in three patents from IBM, AOL and another inventor. Then 40 other people cited my work. I feel this helped me get into MIT because they saw that I could come up with new theories with practical applications. I then pursued internships with top research teams who let me join them based on the same work. This research also helped my graduate application. None of this would have been possible if I didn't do research in undergrad.
6. Attend classes. I do not understand the students who claim they did well without attending class. Many professors will only say certain things in class. Many classes only present some of the material in class. If you don't attend class you simply won't get that material. You also won't be able to ask immediate follow-up questions. I also found speaking to the professor after class was an efficient way to resolve contradictions I had found with my mental model.
7. Time management is key -- especially in undergrad. In my competitive undergrad program I once learned that a friend who achieved top 5% status actually timed how long he ate.
While I do not suggest going to such extremes I offer this modest advice. I suggest spending no more than 30 minutes trying to solve a problem you can't solve by yourself before appealing to office hours or another knowledgeable student. I also suggest you ask questions of your professor during or after class as opposed to leaving the class confused. This reduces wasted time in an environment when time is a very precious commodity.
8. Going out and having fun is conducive to good grades. In my early undergrad years I studied as hard as I could. And I thought this meant putting in as many studying hours as possible. But I later realized that going out and having fun refreshed the mind and increased grades. Unfortunately it took at least 2 years for me to understand this lesson.
9. Learn how to do advanced Google searches. This is an essential skill that enables you to answer your own questions, quickly. At a minimum I suggest you learn how to use the following Google search operators ~, -,*, AND,OR, and numeric ranges via the double dot ("..") operator. The "site:" operator is also often helpful. I also found adding the word "tutorial" to a Google search often yields great introductory materials.
10. Turn weaknesses into strengths. While studying for standardized exams I learned the importance of addressing one's weaknesses as opposed to ignoring them. If you make a mistake on a question, it is because of a weakness within you. If you do not address that weakness it will follow you to the exam.
I learned this lesson when studying for standardized exams. I was able to legally buy 30 old exams and thought the best approach to studying for the exam was to do as many old problems as possible. But as I completed each exam I kept getting the same score (+/- 5%) over and over.
But then I made a tiny tweak and my scores kept going up. Specifically, after each old exam, I would identify my weaknesses that led to each wrong answer, prioritize the weaknesses according to the degree to which they affected my score, and would address them in that order. When I did that, my scores increased without limit.
I later realized that such standardized tests are designed to provide consistent scores (if the student does not study in between the subsequent exams to address their weaknesses). In fact that is one of the statistical measures used to measure the quality of a standardized exam and it's called "Reliability" (Google for "psychometric reliability" to see what I'm talking about).
I've used some similar techniques to do well on standardized exams (99%ile on the GRE) though doing so involved me developing some custom software to take advantage of some of these ideas. And after graduation I ended up founding two companies. The latest one has emerged as the largest test prep company in the Canada for pharmacy licensing exams (we train 700 pharmacists a year) in just 5 years based on some of the ideas presented here. I plan to expand my company to the GRE and GMAT in the next year.
But MIT does occasionally rank students based on grades when it comes to scholarship applications. During one such ranking I discovered I was the top ranking student in terms of grades in my graduate class.
During the three years I was at MIT I did two masters degrees. I maintained a 5.0/5.0 GPA in one of my MIT masters and 4.9/5.0 in my other MIT masters until my very last semester when I had to fly to job interviews and couldn't attend all my classes.
I achieved these grades while doing a double research load. That is I worked simultaneously for an MIT professor and two Harvard Medical School professors.
I consider myself a professional student/learner and believe that there are definitely techniques that I learned that can also be used by others to improve their grades.
I offer the following advice based on my experience:
1. Write you notes in a way where you can test your retention and understanding. Many people write notes that do a great job summarizing their materials but their notes are not designed to promote learning, retention or diagnosis of their weaknesses. But my notes can.
Simply put my notes can be used like flashcards because I write them in a form where I separate a "stimulus" from a "response." The stimulus are cues or questions (think: front side of flashcard), while the response is the answer to the cue (think: back of flashcard). But the stimuli are to the left of a margin, while the responses are to the right. The key advantage of this is that just by putting a sheet of paper on top of your notes, you can hide the responses, while leaving the stimuli visible. You can have multiple margins and multiple levels of stimuli and response for greater information density. When you get good at this you can write notes in this form in real-time. To get some idea of what I'm talking about google for "Cornell Notetaking method" My notetaking method is a variant of this.
To give you an idea of how powerful this notetaking method can be, I was able to learn several course just hours before the exam and still got an "A" in all of them during a difficult semester where I had too many competing priorities to spend long hours studying. I attribute this ability almost completely to this notetaking method.
2. Develop the ability to become an active reader. Don't just passively read material you are given. But pose questions, develop hypotheses and actively test them as you read through the material. I think this is what another poster referred to when he advised that you should develop a "mental model" of whatever concept they are teaching you. Having a mental model will give you the intuition and ability to answer a wider range of questions than would be otherwise possible if you lacked such a mental model.
Where do you get this model? You creatively develop one as you are reading to try to explain the facts as they are presented to you. Sometimes you have to guess the model based on scarce evidence. Sometimes it is handed to you. If your model is a good one it should at least be able to explain what you are reading.
Having a model also tells you what to look for to disprove it -- so you can be hypersensitive for this disconfirming evidence. In fact, while you are reading you should be making predictions (in the form of one or more scenarios of where the narrative could lead) and carefully checking if the narrative is going there. You should also be making predictions and seeking contradictions to these predictions -- so you can quickly find out if your model is wrong.
Sometimes you may have two or more different models that can explain the evidence, so you task will be to quickly formulate questions that can prove one model while disconfirming the others. I suggest focusing on raising questions that could confirm/disprove the mostly likely one while disproving the others (think: differential diagnoses in medicine).
But once you have such a model that (i) explains the evidence and (ii) passes all the disconfirming tests you can throw at it then you have something you can interpolate and extrapolate from to answer far more than was initially explained to you.
Such models also makes retention easier because you only need to remember the model as opposed to the endless array of facts it explains. Of course, your model could, be wrong, but that is why you actively test it as you are reading, and adjust it as necessary. Think of this process as the scientific method being applied by you, to try to discover the truth as best you can.
Sometimes you will still be left with contradictions that even your best models cannot explain. I often found compiling my questions and speaking to the professor after class to be a time efficient of resolving these contradictions.
I had to learn how to do this mental modelling as a survival mechanism to pass my studies at the University of Waterloo -- where their teaching philosophy is misnomer because their teaching philosophy is to not teach as well as they could.
You can see this from their grading philosophy. Although they don't use a bell curve or other statistical grade adjustment, they make their exams so hard that the average is usually between 68 (C+) and 72 (B-) in spite of the fact that their minimum admission grades are among the highest in Canada (you need more than A+ to get into several of their engineering programs).
The only way they can achieve such low test averages from otherwise high performing students is by holding back some of what they know, and then testing what they didn't explain well in lecture on their exams; or by not teaching to the best of their ability.
This forces students to develop the ability to teach themselves, often from materials that do not explain things well, or lack the introductory background knowledge needed to understand the material.
I realized I could defend against such tactics by reverse engineering the results into theories that would produce those same results: a mental model induced from scarce facts.
Then when I got to MIT I found myself in a place with the opposite teaching philosophy. Unlike Waterloo, if the whole class got an "A" the professors would be proud and happy (whereas at Waterloo this would be the cause for a professor's reprimand).
The students were used to dealing with people who actually wanted them to understand the material. But I felt the ability to reverse engineer facts into theory gave me an advantage in this environment because it allowed me to learn more rapidly and with less information.
3. Be of service to your fellow classmates. I've personally observed and heard anecdotal stories that many students in highly competitive programs are reluctant to share what they know with their peers; a good example being the vast number of students in a top ranked science programs competing for the very few coveted spots in med school. I've seen people in such situations be afraid to share what they know because the fear it could lead to the other students "getting ahead" while leaving them behind. I would actually recommend doing the opposite: share liberally. You can't expect help from others if you are unwilling to help others yourself.
I spent hours tutoring people in subjects I was strong in. But, conversely those same people were usually happy to help me with my weaknesses when I needed it. I also found it easier to get good teammates -- which is essential to getting good grades in team-based classes. I found I learned a LOT from other people. And their questions helped me to prepare for questions I may not have thought of -- some of which would appear on the exams.
4. Understand how the professor grades. Like the real world, the academic world is not always fair. You need to understand who is grading you and what they are looking for. Oddly, if you actually answer questions as written, you won't get full marks from some teachers. Some professors expected more than the answer. Some only accepted the answers taught in class as opposed to other factually correct answers. Some expected you to not even evaluate whether multiple choice answers were true or not; only to notice which answer choices aligned or did not align with the theories taught in class. Some highly value participation in which case you ought to have a mental model of what they are teaching based on their assigned readings. The sooner you know who you are dealing with, the sooner you can adjust to their way of grading. Thankfully I considered the vast majority of my professors to have graded in a fair manner.
5. Get involved in research while still in undergrad. Academics is a means to an end. To me that end was "solving problems" and "building stuff" specifically systems and organizations. Depending on the school you apply for, your research may be just as much important, if not more important than your grades. In fact if all you have are good grades your chances of getting into a top ranked CS program with a research component (e.g. MIT, CMU) are slim to nil; though you might still be able to get into a top-ranked courseware-based Masters (such as Stanford where there is no masters thesis).
I did an Artificial Intelligence research project in undergrad and posted it on the internet. Not long after it was cited in three patents from IBM, AOL and another inventor. Then 40 other people cited my work. I feel this helped me get into MIT because they saw that I could come up with new theories with practical applications. I then pursued internships with top research teams who let me join them based on the same work. This research also helped my graduate application. None of this would have been possible if I didn't do research in undergrad.
6. Attend classes. I do not understand the students who claim they did well without attending class. Many professors will only say certain things in class. Many classes only present some of the material in class. If you don't attend class you simply won't get that material. You also won't be able to ask immediate follow-up questions. I also found speaking to the professor after class was an efficient way to resolve contradictions I had found with my mental model.
7. Time management is key -- especially in undergrad. In my competitive undergrad program I once learned that a friend who achieved top 5% status actually timed how long he ate.
While I do not suggest going to such extremes I offer this modest advice. I suggest spending no more than 30 minutes trying to solve a problem you can't solve by yourself before appealing to office hours or another knowledgeable student. I also suggest you ask questions of your professor during or after class as opposed to leaving the class confused. This reduces wasted time in an environment when time is a very precious commodity.
8. Going out and having fun is conducive to good grades. In my early undergrad years I studied as hard as I could. And I thought this meant putting in as many studying hours as possible. But I later realized that going out and having fun refreshed the mind and increased grades. Unfortunately it took at least 2 years for me to understand this lesson.
9. Learn how to do advanced Google searches. This is an essential skill that enables you to answer your own questions, quickly. At a minimum I suggest you learn how to use the following Google search operators ~, -,*, AND,OR, and numeric ranges via the double dot ("..") operator. The "site:" operator is also often helpful. I also found adding the word "tutorial" to a Google search often yields great introductory materials.
10. Turn weaknesses into strengths. While studying for standardized exams I learned the importance of addressing one's weaknesses as opposed to ignoring them. If you make a mistake on a question, it is because of a weakness within you. If you do not address that weakness it will follow you to the exam.
I learned this lesson when studying for standardized exams. I was able to legally buy 30 old exams and thought the best approach to studying for the exam was to do as many old problems as possible. But as I completed each exam I kept getting the same score (+/- 5%) over and over.
But then I made a tiny tweak and my scores kept going up. Specifically, after each old exam, I would identify my weaknesses that led to each wrong answer, prioritize the weaknesses according to the degree to which they affected my score, and would address them in that order. When I did that, my scores increased without limit.
I later realized that such standardized tests are designed to provide consistent scores (if the student does not study in between the subsequent exams to address their weaknesses). In fact that is one of the statistical measures used to measure the quality of a standardized exam and it's called "Reliability" (Google for "psychometric reliability" to see what I'm talking about).
I've used some similar techniques to do well on standardized exams (99%ile on the GRE) though doing so involved me developing some custom software to take advantage of some of these ideas. And after graduation I ended up founding two companies. The latest one has emerged as the largest test prep company in the Canada for pharmacy licensing exams (we train 700 pharmacists a year) in just 5 years based on some of the ideas presented here. I plan to expand my company to the GRE and GMAT in the next year.
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