by J. E. Brown
Intended Audience: College students, professionals, and smart people of all ages.
Recently I needed to relearn a mathematical technique, and so I went back to my old college notes. I was struck by how unreadable they were, loaded with incomplete sentences and words scribbled too fast to be legible. It was like reading a foreign language without knowing all the words, like every sentence had a word missing. Instantly I was sorry I had sold my textbook; no doubt the textbook was better organized and clearer, and would have quickly taught me what I wanted to learn.
My terrible notes were not helped even by the fact that I was a pretty good writer. Oh well — luckily I got better at note-taking over the years. Here are a few of the valuable note-taking tricks I learned after college:
You may still prefer lined paper if taking a history or writing or music class. But in math, science, and engineering, where graphs and diagrams rule, plain paper is a favorite. Preprinted ruling tends to camouflage the horizontal lines in diagrams.
→ Paper is most beautiful when there's no see-through or indentation, and so, you'll get the best results by placing a single sheet of paper (not a stack) on a dark desk; this way, the pressure of your pen won't dent or curl any pages while you write, and the dark background will camouflage any writing on the other side of the page.
→ If using thin typing paper, write on only one side.
→ If you're short on cash, use cheap paper for note-taking, but use the above techniques for your homework — your teacher will be impressed.
Best pens: Paper Mate stick fine point, black. My least favorite: Bic round stic medium point — tends to blob, but readable if you can get a good one.
→ When the lecturer moves on to a new minor topic, start a new paragraph. Later when you go back to read about this topic, you'll be able to see at a glance where the topic begins. I used to simply put a double slash ("//") and continue the line I was on, filling every available white space to save paper. I was really cheap back then ;^)
I highlight in two colors: green for important concepts and facts, pink for indexable terms.
→ A broad horizontal line makes a great paragraph marker. You can't miss it.
Hyperlinks aren't just for the Web anymore, and not just for web pages. They can help you organize your private files. Bloggers already know this.
Hyperlinks have existed on paper for hundreds of years. We call them tables of contents, and footnotes, and see-alsos, and citations, and concordances, and bibliographies, and indexes.
Your textbooks and notebooks should be cross-linked, just like the Web is.
Complete your sentences. Review your notes. Some educational pundits say you shouldn't try to write everything down in complete sentences. But this is misleading advice. Better advice is to draft rough notes during class, intending to polish them later. Write down a few words and phrases that will jog your memory later, just for starters, and later when the lecture is over, go back and make the sentences complete or at least unambiguous. It may not be necessary to write everything down (and if it is, you need a tape recorder, because the lecturer is going too fast), but whatever sentences you choose to keep should be just grammatical enough to be understandable to you later. Great notes are like great writing: Not confusing, and not written in code nor in telegraph style. If you do write in code, at least choose a code that you can read without effort. Ambiguity wastes your time.
A word on timing: You can review your notes right after class, or (easier) you can review them while you're sitting waiting for the next lecture to begin. An important tradeoff can be expressed as follows: The sooner you intend to review and complete your notes, the faster you can write during lecture. But only you can be the judge of this — the only real determinant of how much you should write is how much you forget over time, and only you will know how much that is.
Any sentence that you don't remember how to complete is a question you need to ask your instructor or a classmate. Any such question represents a gap in your education, and you're not paying good money to have gaps in your education.
→ While reviewing, highlight any major lessons you learned. For students in engineering, math, and writing, this means highlighting any important tips and tools your instructor gives you.
Highlight whenever the professor gives you a tool. Hint: Tools are often found in sentences of the form "In order to verb" or just "To verb". ;^) This will remain a mystery to those of your classmates who haven't yet learned the difference between "to" and "too."
In the middle ages, in the early days of the university system, a student's notebook (and his ability to memorize) might well be the only "textbook" that student would ever own. But nowadays, thanks to the printing press and the Internet and the easy availability of information, you and I are not limited to owning only our own hasty scribbles. Nowadays your knowledge is less limited by your writing speed and quickness in the classroom.
The modern student's notebook no longer needs to be an encyclopedia of facts. With the arrival of the World Wide Web, we no longer think of notebooks and articles as self-contained, but as part information and part links to other articles. Think of your notebook the same way. Your notebook is a road map, containing both facts and directions to facts: names of books, names of journal articles, names of important experts and authors and authorities. The whole world is becoming one big book, and your notebook should become an index into it.
Where Books Come FromYour notebook may become a real book. Friends write letters back and forth; authors write books back and forth. It's really the same process of dialog; in fact, the ancient Romans used the same word (litterae) for both "letters" and "literature." Whether you respond to someone by writing a letter or by writing a book, it's really the same process. In blogs and online forums, people write because they have something to say. The Internet gives everyone this power to speak, but the need to speak is much older. The need to speak, to say something in a better way than the last person said it, is where books and letters come from. The need to say things better isn't just vanity or self-flattery, but advances the world by making human knowledge more accessible. This fills a real need. New ways of saying things drive the evolution of knowledge. Case in point: A professor of mine, Charles Hawkins, said that even after the transistor was invented in 1948, semiconductors were taught really badly for another 20-30 years. (I would add that quantum mechanics continues to be taught badly, or at least, with not enough pictures.) Even great and famous writers don't always explain themselves well. Einstein, Darwin, Freud, all had their weak moments in literature; each had to rely on the vision of later authors to make their work more teachable, more accessible. In a nutshell: Great discoveries may be born in a flash, but great ways of explaining those discoveries may lag by a century. You can assist in the midwifing process. If you have a great interest, keep a notebook by your bedside. Then, when great wordings or great illustrations come to you at 4 in the morning, you should be ready to write them down, and at least blog them. I like to say that ideas have a life of their own, and to some degree, we are here to serve them, and not vice versa. The Internet, that great electronic vanity press, is not entirely about vanity. The Internet will soon unleash an explosion of knowledge not seen since Gutenberg invented the printing press, and you can help. |
To complete your book of notes, you will need to do research (i.e. study the textbook and often the sources which it mentions); also you will benefit by talking to experts, and it's perfectly legitimate for you to interview (willing) people who have additional information, such as your professor, and even the other experts in his or her department; and nowadays we have the Internet, thank goodness — its information may not always be accurate, but at least it can give you valuable leads to follow, which will direct your research.
→ Did your lecturer say something cryptic? For anything you don't immediately understand but don't want to ask a question on, because you know it'll be in the book, just write "- study" in red ink in the left margin.
In your very own book, the only style that matters is the one you're comfortable with. Here are some ways to find your style:
You can make up your own abbreviations. However, to prevent confusion, do not use abbreviations that are identical to or similar to other frequently-used words.
→ Study a bit of Braille. When I was young I heard that "ence" is the standard Braille abbreviation for "experience," and I've used it ever since. To experience a great list of Braille contractions, visit brl.org and click the letters A-Z.
→ In theory, shorthand symbols are phonetic, but experienced users of shorthand can read the symbols at a glance, like readers of Chinese do. Shorthand symbols can be read phonetically if necessary, but this is not the best use of your time. Write a word in shorthand only if you will be using that word often enough to keep its shorthand symbol familiar to you. Any symbol you use infrequently will soon be forgotten, and is better left in longhand.
→ It's better that your book be complete than clean.
→ Textbooks are sometimes confusing. If you feel confused, it may not be your fault. Even well-written textbooks have a few confusing or detail-poor paragraphs. Did your professor ever tell the class to visit the library and read books other than the required textbook? This is why. The time you might spend scratching your head is better spent walking to the library, or searching the web for other ways of understanding the material.
You're not in school just to get an education.When I was a college freshman, a professor opened my eyes when he told the class, "The reason for universities is not to teach. The reason for universities is to do research." Every year I ponder that, and every year I understand it a bit better. In all my years in college, that was the first and last time anyone spoke to me of the existence of this whole other secret side of universities. At all the orientations I ever attended, no one ever mentioned it. I'm going to tell you a secret. School, like any setting involving people, is political. It's been said that politics is the human resources department of government, the only way to access the career ladder. In much the same way, getting to know people in college (classmates, professors) is your ticket into academia. Cynical persons describe it as a process of cronyism, kissing up, and greasing palms. But if you do your schmoozing the right way, it's better described as a process for finding people you enjoy working with, for your college years and beyond. Your education, if you use it properly, is a rung on the career ladder. You're not in school just to get an education. Every interaction with your classmates is an opportunity for you to show them what skills you can offer and to find out what skills and abilities they can offer. This is not an invitation to repel them by bragging or showing off — it's a warning to lose your shyness. All you need do is talk freely about the homework, the lecture, the upcoming test, and you'll be building your reputation. Ask your classmates "Am I the only one who didn't understand that?" "Did the professor say ____?" The exact content of the questions matters little; what matters is whether you feel anxiety at the thought of speaking to a stranger. The mantra among professors is "Publish or perish," and students need similar slogans: "Classrooms are for networking." "Be memorable — or be forgotten." Ask questions in class. The reason for asking questions in class is not just to get information — much more importantly, it's an opportunity to show your professors that you're approachable, that there's not a wall between them and you. The career ladder in academia has more rungs: grader, TA, research assistant, summer intern. These positions are not handed out to the invisible. Trust me, I know: I was the mystery kid who sat at the back of every class and never asked questions and yet aced the exams ;^) . And as a result, I never found myself sucked into the academic ladder like some people. I never even knew there was a ladder. If I ever get the chance to do it over, I'll sit near the front of the class, where the instructor and students can see me and get to know me as the guy who asks intelligent questions. Tips:
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Don't be shy about asking questions if you don't understand something. I know, that's easier said than done ;^) .
Here are a few tips that will reduce your shyness:
→ All of the really good reasons to join a study group are ulterior.
→ Hint: If a classmate you don't yet know sneezes and you say "Bless you" and he or she ignores you, change seats and sit at a different desk in the future — in too many ways to count, it's bad luck to continue sitting next to unfriendly people. Especially those who bring viruses to class ;^)
→ Never loan your notes out. Getting them back can be difficult. Any notes you loan out must be photocopies. The originals must never leave your possession.
In the 21st century, note taking has new rules, new methods, and new tools.
→ Function Keys: It would be great if every web browser supported this "extended copy and paste with attribution" via a single function key. I call this concept "the research browser." The user presses a single function key, and the paste buffer loads itself instantly with a full citation, ready for pasting into any notebook file.
→ When writing this article, I meant to include a special example of a poorly written paragraph. The paragraph in question appeared in Einstein's popular book Relativity. But now that I need it, I find I copied the wrong page, and so I can't write that section. So that story became a good example for this paragraph instead. ;^)
Moral #1: Skip Einstein and read Hawking's A Brief History of Time. You'll get more out of it.
Moral #2: Never say "I don't need to keep a copy; I can find the original book or website again if I need it." Yeah, right.
Good Study Methods:
The first purpose of study is to learn, learn, learn, for the sake of learning. The second purpose of study is to lose your confusion over the assigned reading and homework concepts.
1st Edition, 31 March 2006
At other sites:
Before writing this article, I did a web search for helpful hints and related works. But most of the existing articles give short, pat, glib, tired, rehashed, oversimplified advice, clearly aimed at high school students. Unexplained aphorisms like "Keep your sentences as short as possible" might work for secondary students, but they will hobble you in college and beyond.
J. E. Brown, software engineer and repeat/returning student, is writing a category-based reference book, plus content categorization software to organize it. The software groups paragraphs by similarity, and may be suitable for linking a thesaurus or directory together.
Software such as this might someday make the Web self-organizing.
notetaking, how to study, study habits, study techniques
I charge $2.50 per question related to the above material, and more for questions involving research.
Copyright © 2006 J. E. Brown all rights reserved.
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Los Alamos, NM USA
Information is my religion.