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How to Hack a Conference

Tim Slater, CAPER Center for Astronomy & Physics Education Research

It’s about time to begin to think about professional conference travel. This is the time of year where you ask yourself, ‘What kind of things do I have to share next years conferences?’ and ‘Where do I want to go?’ and “What does one do at a conference?’

The reality is that HOW DO YOU DO A CONFERENCE really well is not written down anywhere. It’s really folk knowledge. Its knowledge experts share it in dark corners with mirrors, standing in the fog out on some deck somewhere close to the ocean on the pier secretly sharing how to Thomas Friedman Lecturinghack a conference.

So with that, what goes on at conferences? One of the main things that you see at conferences are keynote talks, or sometimes they are called plenary talks, sometimes they are called prize award wining talks and these are talks by real leaders in the field, or people you really want to hear from. Maybe they are very famous book authors, or maybe they are very famous scientists the organization has either given them a lot of money to come give a talk, or they have given them awards. Conferences sometimes attract big name speakers by saying, “in order for you to come get this $1000 award or this $5000 life achievement award or this $10,000 mentoring award, you actually have to come to the conference and give a talk.” And these are always very well attended. Usually there is nothing else going on at the conference at the same time, so everybody from the conference is usually there. It’s in a giant ballroom that can have 1000, 2000, 5000, 10,000 people in them. That’s a pretty important part of many conferences.

Now that’s not the only thing going oGiving a not so well attended contributed talkn at a conference. In a big conference you may only have 4 of these sorts of highlighted, but most of the time, time at the conference is given to what are called contributive talks. These are much, much shorter talks and these talks are not given to rooms of thousands of people. These are talks given to rooms that may have 1000 chairs but have far fewer people in them.

Here is a picture of a contributed talk at the American Geophysical Union. This is where you can speak most often: in general you are standing at a podium a long way away from the audience using a remote control to run a screen that you can’t actually see, to a group of people who are only really there because they also are giving talks in that session and they were too embarrassed to walk in late and they didn’t want to walk out of yours. So there could be contributing talks, or papers they are called, are kind of the mainstay of the conference. And in general these things are not very well attended.  How many people are in attendance is in no way a reflection of how good the talk is or how important it is, which is as odd as it sounds.

Now, in addition to talks, you will often find poster sessions going on. These are really science fairs for adults. And whether your conference you are going to has more papers being presented or more posters really depends on the nature of the conference.

At some conferences, the poster session is where it’s at. Everything goes on at the poster session. Everybody meets at the poster session. There can be beer served at the poster session. There can be free food are the poster session. On the other hand, at some conferences there’s almost no poster session whatsoever and everything is done in the form of contributive talks and contributive papers.

Consider AGU, American Geophysical Union. The AGU has about 20,000 people show up at its conference. It is a very large conference. There are about 12,000 posters being presented at this conference, in a giant warehouse, all at the same time. Posters generally go up all day long. In general, some conferences will assign times you need to stand by your poster. The conference organizers will say, “be at your poster from 10 in the morning until 11:30.” Or, “be at your poster from 4:30 to 6:30 pm.”

Highly Social Poster Session at AGU Or sometimes they won’t assign them times at all. But what people will do is they will self-assign times. So right in the middle of that screen there is a sign that says poster #833 and beneath that is a piece of paper. And on that piece of paper it will say, “I will be at the poster from blank to blank.” and people write down what times they are going to be there.

For conferences like the AGU, or the American Astronomical Society, these poster session is where much of the the socializing happens. People just go and hang out in the poster sessions. They may not be looking at your poster but that is the place where people get together and chat. So poster sessions are really, really good stuff. It’s where a lot of socializing happens.

Something else you may notice about the poster session are there are these brown envelopes hanging on the wall. These brown envelopes hanging on the wall are business envelopes where people have made photocopies of their poster, on 8 ½ by 11, and have them there for people to take. Sometimes people also pin business cards around the bottom for you to take. Or you can have post it notes sitting there and tell people to write notes about the poster and stick them on the poster right there. That way it was kind of a way for them to graffiti a poster, if you will.

At the poster sessions, that poster sessions are often places where you can run into somebody famous. Somebody who is walking around maybe it is someone who has written a paper that you really like. Maybe it’s somebody who’s giving a talk that you are really interested in. Maybe it’s somebody you think would be good on a committee of yours. And these are places you can often find them wandering around and not talking to anybody.

You should feel completely free to walk up to those and talk to them. You can usually tell in the first thirty seconds if they are conversationalists or not. What I wouldn’t recommend doing, though, is going up and interrupting a conversation. It is usually best to try to catch them in between conversations. Which can be a bit of a trick to doing that. If are looking to meet famous people who are just wandering around that you really want to meet, and you really do want to meet these people, poster sessions are the way to do that.

Presenting a poster is a low stress way of presenting the kinds of things you are working on. Because, if you get nervous and you feel like going somewhere else, you can always just leave, but your poster is still there. And you get to talk to people on your own speed. Most people come up and they are looking at your poster and they’ll look at it for a little while and then they’ll say, “hey could you tell me about this?” it gives you a chance to interact with people at the level and depth that you want to practice talking to people

So those are the three really big things that happen at conferences, the plenary invited talks that everybody goes to, the contributive papers that the speakers go to, and they can be anywhere from six minutes, which is very, very short to thirty minutes, which is relatively long, and then there are poster sessions that sometimes last all day. And all three of these things are very different ways of sharing science at a conference.

Conference Panel SessionsBeyond the big three, another thing that happens at conferences are panel discussions. And you probably saw this in your reading. Panel discussions are where you get a series of experts together to present their views and argue with each other. Specifically, they talk to one another and let the rest of the audience listen in about what’s going on.

Now, for my nickels, panel discussions in and of themselves are just ‘ok’ things to listen to. What’s really important is if you are able to become the organizer of one of those panel discussions. What happens if you are the moderator is you get to interact with each of these speakers and you get to get together with them early, maybe meet an hour and a half before the session and have coffee with them.

Even better, if everyone is able to be there the night before, what you do is you have a panel dinner where everybody gets together at a restaurant. You get to pick the restaurant. Everybody pays their own way and you get to spend an hour and a half eating drinking and having conversations with really important people in the field who are experts at the kind of things you would want to pay attention to. So panel discussions are really, really neat things to put together because it allows you to get to know people you wouldn’t otherwise get to know.

Meetings are really for networking. They’re really, really for meeting people. That’s why they are called meetings. So I encourage you to take advantage of as many of these avenues things as you possibly can.

Slide08In addition, many conferences also offer half-day workshops, or full day, or once in a while even two-day workshops. At CAPER Center for Astronomy & Physics Education Research, we tend to offer a lot of workshops because this is a good place to get to spend a lot of time sharing research ideas you have, sharing the instructional strategies you’ve been working, and on getting to know people pretty well. Often these workshops are run by book publishers, by computer programming software people, even by hardware telescope people who often are going to be running workshops—and often you get free stuff. So that’s usually a good reason to go. Usually you get free coffee.

Sometimes you can get free breakfast and free lunch. So workshops are often a good thing. They usually do charge a little extra to go to these workshops usually to cover the cost of coffee and registration. And it’s going to cost an extra night or two of hotel rooms, but again I happen to think all day conferences is a really good way to get in-depth study of a particular kind of thing.

Long registration lines are common at too many conferencesNow in addition to the plenary talks, and the contributive talks, and the poster sessions, and the pre-conference workshops, one of the things you are going to find are really, really annoying very long registration lines. Why is it a bunch of scientists who pride themselves on speed and efficiency can’t figure out how to do fast registration? I just don’t know.

Some places you are able to get your registration information before you get there or download it online and can avoid these long lines. If there is anyway at all you can avoid these long lines you need to figure out a way to do it. Every conference is a little bit different in how you pull that off. Sometimes of you go really early or really late or sometimes in the middle of the day or sometimes even if you wait half a day before going and registering all those things can help.

Conference Booklet or App? You decideBut when you get to the front of this very long line they give you a whole bunch of promotional material that you really aren’t interested in and you really don’t need. Usually they give you a really big heavy meeting booklet.

Recently, some conferences have started figuring out how to do apps. iPad apps, iPhone apps, Android apps and these are really, really cool things, because you get all your information, you can go through it and figure out exactly what you would like to do and schedule things out so you know where you are going when.

So as soon as you get your big book, or get your app, the first thing you want to do is spend some time going through it. And you want to pick, throughout the day, two things that you would like to do. You always want to have a first choice and a second choice. The reason you want to have a first choice and a second choice is sometimes you go to the room of your first choice and it will be completely full and you just can’t get in, so you want your second choice.

Sometimes what you’ll want to do is you’ll want to go into your first choice and it really, really is terrible. That speaker is just awful and so then you will want to be able to go to your second choice. But sometimes you won’t get to your first choice or get to your second choice because you are busy meeting with somebody out in the hallway that you have always been wanting to meet or you are going to spend all meeting figuring out how to meet. So you are just going to miss half the stuff you want to do. That’s just the way it is.

Some things are video taped, or audio taped, or digitally recorded and put onto websites. Most are not. But again, you want to be sure you do a lot of preplanning, because if you are sitting there at 8 o’clock trying to figure out what you want to do at eight thirty you are going to be in a real mess. So take some time, even if it’s just a half hour away, to get that stuff figured out.

What’s most important when you register is getting your name badge. The name badge serves a bunch of really important functions. One function it serves is it has your name on it. And if you wear it and you are walking around then people can talk to you and call you by name and even remember your name.

Your name badge probably also has a barcode on it. And that barcode, whether it is a barcode or QR code, is very useful because when you go to the exhibit hall, which we’ll talk about here in just a minute, vendors can zap your barcode and they have you on record and they can send you free stuff and add you on their mailing list, which of course you can delete. But often you get free stuff.

Slide11So your name and your location is on your name badge. And then underneath your name tag, at some conferences, they have a bunch of crazy stickers on there. These stickers are very, very important. Because these stickers, sometimes you get them at the registration desk, sometimes you get them as you are wandering around the conference, these are great conversation starters. If you see someone you would like to talk to, and you have no idea how to start a conversation ask them about one of their badges, stickers, even if you know what it means, ask them about it, because people seem to wear things pretty proudly.

Reminds me of the old Steve Martin bit. He was doing movie called LA Story about living in Los Angeles and there is a particular scene where he is sitting at a dinner party next to this women and the person next to her goes, “hey did you know that Susan is taking courses in conversation?” Steve Martin goes, “Really? That’s fantastic!” and the lady who is taking the courses says, “Yes.” So remember you are dealing with scientists. And so scientists often aren’t very good at conversations so these things will help you help them to have a conversation.  The bottom line here is that I recommend you take your name badge very, very seriously.

In addition, your name badge will get you into receptions. There are a gazillion receptions that go on at these conferences and they are characterized by two things. Number one, they are characterized by expensive drinks, I mean like $8.00, $10.00, $12.00 for a beer, and often free food. Let me put the emphasis on free food. Now notice that there are a gazillion people there. They eat that free food really fast. So if the reception starts at 6:00 don’t show up fashionably late at 6:20. Show up there at 5:55 get your free food and then head over to the bar to get yourself an expensive drink, because there is another reception starting at 7:30 and you want to make sure you are ready for that reception at 7:25. Again the free food things don’t last for very long, but you can reception hop, to reception hop, to reception hop.

You don’t want to have your backpack with you; you don’t want to have your coat with you, or your briefcase. You may not even want to have your purse with you; because things are tight they are crowded. You don’t want to carry anything. They are typically noisy but everybody is there and it is a great place to meet people.

Slide12And if you tell people you are a graduate student sometimes people will buy you drinks. I have been telling people I am a graduate student for years just to get free drinks. No not the bartenders. The bartenders won’t give you free drinks, but often whomever you are talking to will because they will take pity on a poor graduate student.

Now one of the things I should point out here is the way you purchase drinks here is very strange in some cities. In general, you do not give the bartender money. In general, there is somebody standing next to the bartender that you give money to and that person then gives you a ticket and you go stand in the bar line and buy drinks from them. Why this is true I just don’t know.

But you want to be alert to when these receptions are and when they are going to be, because they often aren’t advertised. So put on your eavesdropping ears when you hear people say, “Hey I can’t meet you because I have to go to such and such reception.” That is defiantly where you want to be, at the reception. So don’t miss the reception. It’s most often code for ‘free food.’

Let’s talk about something that is perhaps surprising to you–exhibit halls. In addition to plenary talks, invited talks, poster sessions, panel discussions, and standing in long lines, and going to receptions, there are exhibit halls. The exhibit halls, I’ve got to tell you, are where I spend most of my time. These are where you get to meet famous people, you get to talk to book authors. Many of these booths have free stuff. Maybe its free books, maybe its free pencils, maybe its free mouse pads, maybe who knows what kinds of things are there.

Exhibit hallThese exhibit halls at some conferences that are very small; it will take you five minutes to walk through. Or some places, like NSTA, can be incredibly large and they will take you literally eight hours to get through. Some conferences have not only has commercial vendors, but also have a lot of scientific equipment vendors. And so it is often really fun to go through and see the telescopes, see the compasses, and see the geodesic domes, all kinds of crazy things that you have. It’s a really, really good place to spend quite a bit of time.

One of the reasons it’s a good place to spend quite a bit of time is often they have free food, free coffee, and at places like AGU they will often have free beer. And I don’t mean cheap beer I mean really good beer.

And you can get free books sometimes too. All you need to do is go to a publisher who publishes books for courses you teach (or someday might teach). You can say, “Hey I am in the market for a new book. I’m teaching this new class next fall. I’ve never taught this geology class or this astronomy class, I’ve never taught this chemistry class and I’m trying to decide what book to use.” Often you let them write your name down and your email address they will give you free copies of books.

Stephanie J Slater doing an author signing in a vendor boothNow for those of you who have been in the K-12 world, those conferences do not often give away free books to teachers like they will in a college world. In higher education world, in college university science world free books flow like water. So you can often get free books there. The authors are often standing there during beer time. So you can go by talk with them, you can have them sign your books for you. Which is really kind of a fun thing to do. Sometimes, they will even sign your books for you, which is very cool.

Really, don’t miss the exhibit halls, just find out from people what time the free beer is served. You don’t want to be there at one o’clock and get yourself all worn out if the free beer isn’t there until five o’clock. Some serve ice cream during the day!

Finally on the last day of the conference the last hour of the conference vendors are not allowed to pack up anything early, but they start looking at all the books, all the materials that they have there and they are saying, “you know what? I really don’t want to ship all this stuff home.” And many vendors will start giving you stuff. They will give you aquariums. They will give you posters. They will give you books. They will give you butterflies. They will give you hermit crabs. They will often give a lot of stuff away during the last hour. So if you have something’s that you want, that you would like to have but you don’t want to pay for, go to the exhibit hall on the last afternoon and politely poke around.

My heart in San FranciscoAnd you know to be completely honest part of going to conferences also has to do with where you are going. The AGU conference where many of these pictures were taken was in San Francisco. It happens in December. It happens right before Christmas, so everything is completely decorated for Christmas. This is Union Square in San Francisco. You can see pictures, excuse me, you can see all the windows of Macy’s all which have giant wreaths in them. They also have puppies in the windows from the humane society. San Francisco is also famous for the number of homeless people it has and the creative ways that they have to chat with you and make you feel uncomfortable.

If you go year after year, you get to hang out with friends that you’ve known a long time. If your family gets to go with you, you get to go to really fantastic beautiful places and do science at the same time. So you cant ignore this idea of traveling. I think that’s a pretty important thing to remember that traveling does happen. And you should take in some of the sights.

You don’t want to skip the meetings to do those things, but what I would recommend is if you want to go explore a city you haven’t been before to go early to do your exploration. Because by the end of the conference you are so tired you are not going to want to the zoo or go see anything.

You really should try to find a way to get to one professional conference a year, even if it has to come out of your own pocket. Because at these professional conferences that’s where people are giving talks about papers that won’t be published for eighteen more months. It’s where a chance to meet people for research collaborations, for committee assignments, for people to write you external letters for review.

How to pay for a conferenceBut, cost is a real issue. Some conferences allow you to volunteer to cut down on registration costs. Others cut the cost if you sign up early. Registration at some of these meetings can be extremely expensive. If you are a member of that society often you get a big discount break, but if your university is paying for your trip they will not pay for your membership. So some people will not join an organization, go ahead and pay for the higher cost registration because their university doesn’t reimburse them for the cost of a membership.

Another strategy is to share a hotel room. For me, the hotel room is the most expensive part of these conferences, particularly if you stay in the conference hotel. Sometimes right next door to the conference hotel there is a Best Western or a Hampton Inn, which can be half the price. Often the lower price hotels have free breakfast. The lower price hotels often have free Internet. Because people who go to the five star hotels have budgets to pay for their Internet, pay for their parking and to pay for their breakfast. Often you get a better deal both food wise and price wise if you can find a cheaper hotel next door, as long as you feel safe.

What to do at a conferenceWe have talked about invited talks, contributive talks, poster sessions, exhibit halls, panel discussions, registration lines, name badges, program booklets, program apps, and how to find free beer, and how talk to people. That’s a lot to manage; and it’s totally worth it!

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Capturing ASTRO 101 Students Attention with Naked-PPT

Tim Slater, CAPER Center for Astronomy & Physics Education Research, tslater@caperteam.com

Notwithstanding unexpected technical difficulties, I can remember the only time I’ve seen an astronomer intentionally teach for an hour without support from a writing board or a projector, computer, overhead transparency, or slide carousel; if you haven’t guessed it already, it was Harvard’s astronomy historian, the legendary Professor Owen Gingrich. So, we are taking it as an initial boundary condition that compassionate ASTRO 101 professors are going to use some visual support as a consistent strategy to get students information about your class.  I’m not advocating any particular commercial tool; however, so that I have a shorthand notation for the general concept of some projected visual, I’ll hereafter use the commonly recognized abbreviation for MS PowerPoint, PPT.

We already know that you definitely don’t want use PPTs that have too many words, too small of figures, distracting transitions and animations, or insufficiently contrasting colors.  You’ve endured too many of those yourself at professional science conferences.  But, the question at hand really is what about your PPT will help improve your course evaluations?  In other words, what will enhance students’ perception that you want to help students learn and that you follow an organized pathway?  Fortunately, purposefully designed PPTs can dramatically help here.

As a first step, let’s review the basic rules of what does and does not help on a PPT.  You might be thinking to yourself that you already know all of these things, but a quick tour through your building peaking in on other professors’ classes or wandering through scientific conference presentations should remind you that we can all forget the basics too often.

When faculty conduct surveys of what students do and don’t like about their professor’s PPT slides, they universally plea for professors to stop reading their PPTs to students.  Really.  Beyond that, consider the following:


Students DON’T like Students DO like
Too many words Short phrases to copy
Animated images Easy to read graphs
Unnecessary animations Slowly increasing  complexity of graphs
Inconsistent format Short video clips
Too many colors Consistent use of colored font for emphasis

Here is a place where a review of your materials from a confidential, critical friend can help.  A critical friend is the one-person you can depend on who will take time to quietly let you know when you have spinach stuck in your teeth or that you embarrassingly mistyped something in that ranting Department-wide email-memo you are about to send.  This person does not necessarily need to be at your institution, and perhaps it is better that they are not. But it needs to be someone you respect as an equal as well as a confidant. If you don’t have a critical friend, you need to start nurturing such a relationship so you have someone with which you can exchange your PPTs with to check for problems one of you might have missed.

The basic time-tested guidelines for PPT your critical-friend should check are:

  • No hard to see colors
  • No more than six lines of text
  • No more than six words per line
  • No complete sentences
  • No adjectives
  • No punctuation

The problem with projecting complete sentences is that students have been long conditioned to write down everything on the PPT, no matter how much you beg them to do otherwise.  This includes the capital letters starting the sentence, illustrative adjectives & adverbs, and punctuation at the end. We promise you that you do have the unexpectedly large amount of your limited each week available to allocate toward teaching your students how to effectively and efficiently take notes in addition to teaching astronomy.  You could staunchly maintain that college students should already know how to take notes and it isn’t your responsibility to teach them how, but then you’ll likely demonstrate to your students that you aren’t actually interested in helping them learn.  In other words, a wise professor wouldn’t unnecessarily provoke sleeping bear on this one, especially if the bear also completes end of course evaluations.

The notion of avoiding complete sentences on your PPT is part of the broader teaching strategy not overwhelming students.  You probably wouldn’t be surprised if we reminded you that learners cannot learn from a spouting fire hose of information drenching them with as many facts as possible.

Although the PPT-experts say you should avoid unnecessary pictures, we would argue otherwise. PPTs that only contain bullet points are as monotonous as some of those memorable professors you had in graduate school.  Pictures, even if gratuitous, serve to break up the boredom potential.  Regardless, you should always talk about the images you project.  Unlike you, novice astronomy students do not readily know what an image is or what is important about it.  Students also won’t have any sense of scale, even if a tiny legend is embossed across the bottom.   We’ll talk about where to find pictures for your PPT and how best to use them later in this chapter.  However, we need to talk about organized systems to get information to your students using PPT a bit more.

A perennial question among professors is whether or not to provide students with photocopies of your PPT, or if they should be provided online.  The first order argument for distributing them early is that students can allocate their scarce class time attention to annotating the PPTs rather than furiously taking complete notes of their own.  There are obvious advantages to this, not the least of which is ensuring you actually have your notes done more than 60-seconds before class starts. This also means that students who miss class or didn’t successfully copy down all of the PPT’s information have a back-up information system.

A contrasting perspective is that students won’t be motivated to come to class if the PPTs are available elsewhere.  We have to agree with the students on this one; if the only reason students have to come to class is to get information to memorize from the PPT, why go to class at all?  The numerous bloggings on this website are specifically designed to counteract this notion:  Your class time should be so well organized and carefully designed to be so incredibly valuable that your students wouldn’t imagine missing it in their wildest dreams.  If that’s not motivation enough to keep reading this book, we don’t know what would be!

If you do decide to distribute the PPT to students, we recommend that you strategically remove key information that students need to fill in.  Many professors find providing what we affectionately call Naked-PPT to be highly effective.  More formally known in the formal science teaching literature as “guided notes”, these are PPT with key information removed and replaced with a blank line for students to complete themselves.


 

 

PPT Displayed for Class PPT Given to Students
Definition of a Planet Definition of a Planet
1. orbits a star 1. orbits a _____
2. enough mass to become spherical 2. enough _____ to become spherical
3. dominant object in its orbit 3. dominant object in its _____

 

The underlying thinking here, confirmed by systematic education research, is that the process of students’ actively dressing the Naked-PPT during class will keep students more attentive.  Moreover, changing your PPT into Naked-PPT is takes just a few seconds.  First, complete and save your PPT presentation that you’ll be presenting in class.  Second, save your final presentation a second time with a new name, adding –Naked.ppt to the end of the name. In this Naked-PPT version remove one or two vital pieces of information from some of the slides. As a word of _______ here, don’t go overboard and remove too much information. You only need to add a few blank lines here and there to make strategy this work like a charm.  Removing too much information will make students perceive you are trying to trick them into coming to _______ by withholding information they need to succeed, which they will resent and report when they fill out your end-of-class _______ forms. Finally, distribute this Naked-PPT version to your students instead of the version you present during class.  It works with images too!

  Naked-PPT Slide

The process of creating fill-in-the-box images is surprisingly easy.  All we have done to create the example shown is insert rectangle shapes over some of the targeted words and filled them with white.

Another strategy engaging teachers use is to slowly increase the amount of information on their PPT.  Like the potentially provocative label Naked-PPT, in the old days professors would call this strategy by an equally lewd name, the ‘stripping transparency.’  The strategy then was to cover most of your projected information with an opaque piece of paper, and slowly reveal information as it was needed by the students.

Stripping Transparency - Naked PPT

The thinking in those days past, which is still applicable today, was that students would hurriedly write down everything on the screen before listening to anything the professor had to say and, in the process, miss the first half of the professor’s lecture.  This is because most students  can not listen and write at the same time, so the tactic was to limit what students had available to copy at any one time.  Today, the strategy is to use the Animate function in most PPT computer programs to slowly dispense information.  Adopting some version of this yourself is probably a wise choice for your presentations.


 

Definition of a Planet Definition of a Planet Definition of a Planet
1. orbits a star 1. orbits a star 1. orbits a star
2. enough mass to become spherical 2. enough mass to become spherical
3. dominant object in its orbit

 


Not only does this work well for bullet lists, but it also works well when teaching with images.

No matter how you use PPT, most professors find creating PPT to be an enormously time consuming task that effectively crowds out the more important aspects of teaching students to love astronomy.  This is especially true if you are a perfectionist.  The truth is that students don’t notice or appreciate whether or not your slides are perfect.  We recommend that you adopt the perspective that 80% good is good enough.  This isn’t so you have extra time to get to the golf course; instead, we want you to use all your available teaching-innovation energy to implement the interactive teaching strategies in the other pages on this blog.

You might be surprised to learn that nearly complete PPT sets already exist for your class.  Most book publishers have already paid someone to work really hard creating PPT sets for each chapter (they’ve also created test-item libraries, among other valuable resources).  Typically, these PPTs already use images from your selected book and have the most important vocabulary included.  If this isn’t enough, there are also PPT repositories online for all topics that are uncovered by Internet searches.  Moreover, you can even use PPT sets designed from other books. If you don’t know where to find these, call your book’s publisher and marketing representative who will enthusiastically share the many resources they’ve created.  By all measures, none of these PPTs you’ll find are close to perfect, nor are these tightly aligned to the specific teaching you want to do. These are, however, sufficiently good starting places to adapt to your own teaching, especially if you adopt“80% good is good enough so there is ample time to improve other parts of class” thinking.

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How to Make ASTRO 101 Classes More Memorable

Tim Slater, tslater@caperteam.com

At the end of the year, the perennial question ASTRO101 astronomy professors quietly ask themselves, “Well, what exactly did my students learn this year?” Yet, the answer of “what learning is occurring?” is often more elusive than one would hope. Perhaps surprising, one might think the question of what was learned is an easy intellectual pursuit. It seems only natural to assume that one could readily test students about their knowledge of a particular topic as they enter the class on the first day, and then again as they leave their final examination and subtract the difference to arrive at a quantitative measure. Although it sounds easy in theory, it turns out to be much more difficult in practice. As Michael Bennett, a previous Director of the Astronomical Society of the Pacific and DeAnza College professor likes to quip, “the only difference between theory and practice is that in theory, there is no difference.”

The first challenge is how to determine what to use as a fair pre- and post-test. Although some exist, like the Test Of Astronomy STandards–TOAST, these tests are notoriously difficult to create that actually measure what you want to measure. A second problem, even more challenging than the first, is that students don’t usually being enthusiastic to take a pre- and post-test and often require cajoling to participate. Although there are notable astronomy education researchers around who are very good at systematically managing confounding variables, sampling difficulties, and measurement validity issues, they rarely often allocate considerable intellectual energy to this particular version of querying learning.

We’ve known for decades that students fail to retain significant information when attending an hour-long college astronomy lecture. It’s not just today’s millennial students either, but was true even when we professors were college students years and years back. Few of us learned our astronomy by listening to a lecturer go on-and-on about the wonders of the universe, even when using Kodak slide carousel projectors. We didn’t learn much of it watching Carl Sagan on television either. Instead, for many of us, it was the outside of class work, pouring over the textbook, and talking with our peers and professor out of class, perhaps even long after sunset in the observatory, where we learned most of our astronomy. And, for the vast majority of us, we didn’t actually learn our juiciest astronomy until we began to formally teach astronomy in a classroom, share the night sky under the dome, or in the park talking with the public. The real learning of astronomy, as it turns out, is much more about social transmission than solitary book learning or listening.

Insights from the field of cognitive science provide tremendous insight into helping professors increase the amount of learning that can occur in ASTRO101. However, in order to leverage these insights, it helps to reframe our departure point from “What did students learn?” to the far less depressing and more action-oriented question of “What can I do to enhance what students remember about my ASTRO101 class?” In other words, my thesis is that informed ASTRO 101 professors can dramatically increase their success by focusing on memory, rather than on learning. As it turns out, memory is much more malleable than you might think.

From the perspective of the cognitive scientist, our human brain memory system is composed of two distinct components: working memory and long term memory. Working memory is the highly fragile and quickly fleeting notions and concepts that we keep in our head for a very short period of time before they are dismissed. Where did you last see your car keys? What was the name of the check-out clerk at the grocery store? How much was a gallon of milk when I was last at the store? What did I have for lunch yesterday? What was the name of the fifth brightest star in Aurigae. These are things we “know” only for a short-time. They are best characterized as things we don’t dwell on very much.

At any one time, human beings on average can manage only about seven things in their working memory. That’s how many digits are in a telephone number sans area code. That’s about how many variables you can monitor simultaneously when driving a car. You’ve probably noticed that if you’re driving in a rain storm, you usually can’t do extra things easily like talk on your cell phone that you can normally do in good weather. If you want to watch your working memory in action, multiply in your head two 2-digit numbers: 12 times 37. With some concentration, many of us can do it. But, instead, if I challenge you to multiply in your head two 3-digit numbers—123 times 456—most of us will quickly give up in frustration because that multiplication problem exceeds our working memory size, whereas the two 2-digit multiplication problem did not.

A critically important thing for upcoming master ASTRO 101 professors to become cognizant of is the nature of expertise. Experts are uniquely characterized by cognitive scientists as people who can collect and chunk information into packages to better squeeze more into their working memory. Novices, by definition, do not have the ability to chunk information into their working memory slots. As an example, consider when I say, “stars of Orion” to an experienced ASTRO 101 professor, that professor immediately loads as one single unit the location, shape, star colors, brightness, and star names into a single working memory slot occupying only a small 1/7-sized portion of their available working memory. A novice, on the other hand, fills all seven working memory slots with the seven brightest stars of Orion, and is unable to attend to colors or brightnesses let alone right ascension, declination, hour angle or even mythological origin of its name. This is a tremendous problem for ASTRO 101 professors, who can easily talk about Orion’s parts and compare it to other constellations or asterisms as well its altitude at different geographic latitudes when a novice is simply overwhelmed. The end implication here is that professional research astronomers are naturally inclined to label some astronomy education research-informed curriculum innovations as too simplistic for their students when in fact it instead presses the limits on students’ ability to comprehend. This is an intellectually precarious predicament. Our expertise gets in our way of understanding that we are fundamentally different than our students. My point is that there is a limit to how much information you can force feed students, and it is far less than most new astronomy professors initially think.

The other component of memory is long term memory. Long term memory permanently holds the names, numbers, images, cartoons, movies, and stories that are burned so deeply into our brains that we are loath to forget. You might recall things that happened to you decades ago— the birth of a child, advice an elder shared with you, or how you felt about the unique smell of a special place. These long term memories are also those things you’ve rehearsed time and time again—the names of stars, the sequence of moon phases, and the start-up sequence of your favorite dome. These are notions, both positive and negative, that you couldn’t forget if you tried.

Before you quickly jump to the natural question of how does one move things from short-term working memory into long-term permanent storage memory, let’s consider how these two things are different. Working memory is characterized by information flowing into it and then rapidly flowing out of it when the brain perceives it is no longer needed. This is partially to explain why we have few memories of the first years of our life—we simply don’t need the information cluttering up the mental works. (It is quite probably related to our infant-selves not yet having a sufficiently developed language to describe and encode those experiences into long term memory, but that’s a different article.) It also explains why we are able to completely ignore than thousands of individual pieces of irrelevant information that enter our sensory system when driving, and only pay attention to the most relevant. Here is the rub: For many students, decontextualized factual information delivered rapidly in the lecture hall often easily flows in and out of working memory without sticking around long enough to be stored in long term memory. The key to getting things to soak around in the working memory area of the brain long enough to at least have a chance of getting stored into long term memory is that the audience must have sufficient time to think about it, to mull it over, to see how it relates to other thoughts, previous experiences, and emotions, all without being distracted by new information or images that crowd their way into limited working memory. What cognitive scientists tell us is that memory is the residue of thought.

Perhaps surprising, we’ve long known how to get ideas to stick inside people’s heads long enough for them to think about it deeply enough to produce memories. This seemingly simple keystone is through the long-held tradition of telling stories. Allow me to advance a seemingly unrelated but perhaps powerful example that has been widely used elsewhere: Consider as a person living in Western civilization, you are probably aware of a widespread book generally known as the Bible. You don’t need to be a spiritual person or brought up in a strictly following Jewish or Christian family to have heard of this book and know some of its important contents. Simply living in a westernized society is enough to consider this example. Here is your task: List the Ten Commandments the Lord gave his followers. Grab a piece of paper and make alist.

  • Yes, list all of them.
  • Yes, there are ten.
  • Yes, one is about murder, and another about adultery.
  • Keep going.
  • Don’t worry, take your time ….

Ok, by now you’ve probably grabbed your cell phone or computer or even a Bible and looked them up. How did you do? Unless you have developed a mnemonic device, most people reading this probably struggled with getting all ten, or perhaps, even half. Don’t worry if you didn’t get them all, this is common even among people who identify themselves as regularly attentive Bible students.

Instead, consider the answers to these questions: What happened to Adam in the Garden of Eden? What happened to his son Abel? How long did Noah spend in the Ark? How did Jonah try to hide from his omnipotent god? How many following disciples did Jesus have? (And, for bonus points: Where were the Ten Commandments handed down and to whom?) My experience seeing many people take this informal quiz is that people growing up in Western cultures generally remember most of these things. This seems to present a contradiction: How is it that people cannot readily remember 10 simple rules of life listed in the Bible even when raised in deeply religious homes whereas most people of widely varying faiths and experiences can often readily answer these and an surprisingly wide array of questions about perhaps not so important details about religious doctrine to which they sometimes rarely pay any attention to? The answer is again, stories. We most easily carry information within ourselves through stories, and have throughout much of history.

Humans are innately able to internalize details within stories much more efficiently than even the most eloquently presented facts. This is because stories contain elements that force the listener to engage in thinking, and this thinking results in storage in long term memory. The underlying mechanism is that if you have to think a lot about a notion, your brain decides that it must be important and stores it for later recall. Alternatively, if you don’t attend to an idea for very long, then your brain decides it probably isn’t very important to come back to it, and discards the briefly considered notion.

What are the elements of a story that cause one to ponder it long enough to remember it? First, stories usually follow a logical sequence of events—a sequence is easier to follow than randomly disconnected facts. Second, stories are characterized by cause and effect. Characters do things and there are consequences to those actions. Sometimes a listener agrees with the actions, and other times a listener disagrees with decision a character makes. This is important, albeit narcissistic—an engaged listener must decide if he or she would do the same thing in a given situation or not. Moreover, stories can’t possible relate all of the precise facts that an observer would see, so the active listener must make inferences. What’s fascinating here is that these emotional connections to the story sequence, the characters questionable actions, and inferences from the left out details that combine to make one’s brain decide to commit the story to long term memory. The bottom line is that engaging in a story requires active thinking, which is why stories are better remembered than rapid firing of precisely articulated and cleverly illustrated facts that leave no room for students’ interpretations.

Although the idea that it is what is left unsaid in a story that makes it more memorable can be a bit unsettling initially, it does hold up to examination. Imagine for a minute a series of powerful images you might have recently shown an audience: Hubble Ultra Deep Field, Martian Surface Water, Pluto’s IAU Vote, or TMT atop Maunakea. Its only natural to tell students about the images. What if, on the other hand, the images were used in conjunction with questions, rather than the facts? In the spirit of being provocative, consider alternative captions in the below:


JUST THE FACTS vs VAGUE QUESTIONS TO CONSIDER

IMAGE: Hubble Ultra Deep Field
-This picture shows more than 10,000 galaxies in a tiny region of space vs  Do astronomers compete against one another for highly limited telescope time?

IMAGE: Mars Phoenix Lander discovering water
-Water observed on Mars vs  How could a Faster-Better- Cheaper Mars Phoenix Lander, created from spare parts, find water beneath rockets?

IMAGE: 2006 IAU Vote on Pluto
-Pluto is now classified as a dwarf planet vs  Pluto is still there; but, why can’t smart humans agree on its category?

IMAGE: Artist’s Conception of Thirty Meter Telescope on Maunakea
-is being built in Hawai’i vs  Where should the next great new telescope be built?


My thesis here could naturally be misinterpreted as suggesting that facts are unimportant or that students don’t really care about hearing cool facts. In stark contrast, I am convinced that students really do want to hear about what’s it called, how big is it, how far away, and how did it get that way? What I am advocating here is that although precisely articulated and cleverly articulated facts are definitely cool, they are insufficient on their own to deeply engage the audience in a memorable experience. Given that memories are the residue of thinking, it behooves the compassionate ASTRO 101 professor to be sure that the students has the opportunity to ponder questions, make inferences, and be positioned to welcome the facts and figures available to them when they’re primed and ready. The implication from cognitive science is that astronomy lectures should be filled with ponderous questions and connected stories that the students can hang on to during each class. Taken together, all of this means that with purposeful effort, ASTRO 101 classrooms can be uniquely created to make meaningful and memorable connections between students and the cosmos.

Bibliography for Further Reading (Check Out the CAPER Team Amazon Book Store):

  • Ambrose, S. A., Bridges, M. W., DiPietro, M., Lovett, M. C., & Norman, M. K. (2010). How learning works: Seven research-based principles for smart teaching. John Wiley & Sons.
  • Bransford, J. D., Brown, A. L., & Cocking, R. R. (1999). How people learn: Brain, mind, experience, and school. National Academy Press.
  • Levitt, S. D. (2014). Think like a freak: The authors of freakonomics offer to retrain your brain. Simon and Schuster.
  • Slater, S. J., Slater, T. F., & Bailey, J. M. (2010). Discipline-Based Education Research: A Scientist’s Guide. WH Freeman.
  • Willingham, D. T. (2009). Why don’t students like school: A cognitive scientist answers questions about how the mind works and what it means for the classroom. John Wiley & Sons.

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Should I Teach ASTRO101 With Metric Units or US-Standard Imperial Units?

Tim Slater, Senior Scientist, CAPER Center for Astronomy & Physics Education Research, tslater@caperteam.com; http://www.caperteam.com

A long-standing debate in the teaching of astronomy at the college level—and science in general—is whether to teach using metric SI units or customary US-standard units.  At first glance the argument seems to be based on two juxtaposed positions.  On one hand, US college students are largely unaware of the metric system and therefore need to be provided values for distance in more familiar units.  On the other hand, real science is actually done in metric units and students studying in a science class should use the language conventions of science.  It is this second position—authentic science uses metric units—that most college science faculty adopt.  A cursory survey of most astronomy textbooks reveals that most distance values are given in metric units (with US-standard units often provided parenthetically) in the narrative sections, with data tables using metric units most frequently. Upon further reflection (or perhaps being urged to think more deeply from a learning and cognitive science perspective), one wonders if there is a more nuanced situation here and a more thoughtful approach is warranted?  Cognitive science provides at least two boundary conditions to be considered in a more nuanced version of this debate: (i) issues related to novice-vs-expert learning and (ii) issues of cognitive overload.

To take a step back, we should acknowledge that the question of which system of units to teach under has been a raging debate for decades (1, 2, 3) . The United States’ historical efforts to go-metric have been a complete failure and are relatively well-known.  I don’t have space here—in any unit system—to delve deeply into our metrification attempts, such as unfruitful efforts to change all US highway road signs to metric, which I believe only still exist south of Tucson). For the passionately interested reader, Phelps (4) has written about much of that history.

In recent years, however, education researchers have taken up the task of studying how learners conceptualize size and scale with the explicit goal of helping teachers teach better and helping students learn more.  Much of this education research work was funded under the banner of rapidly advancing nanotechnology because educators needed to figure out how to help students learn about this new technology.  Their work extends to astronomy educators because what NC State’s Gail Jones and her collaborators learned was that many students, nor K-12 teachers, fail to accurately conceptualize many distance values at all, big or small. (5-7) This is alarming because much of teaching and learning in astronomy is about “how big and how far.” (8)

Some professors have found it fruitful to use videos to help teach relative scales, using videos like Powers of Ten. (9- 11)  Perhaps narcissistically, Jones and Tretter’s ongoing research suggests that this video works so effectively because the video starts with what people are most familiar with – the size of a human body.

Most people understand sizes and scales based on benchmark landmarks and mental reference points from their experiences. K-12 students tend to think of the world in terms of objects that are: small, person-sized, room-sized, field-sized and big.  High school and college students also sometimes include shopping mall-sized and college campus-sized objects in their listings.  Further, people’s out of school experiences involving measurement of movement have the greatest impacts on their sense of size and scale—walking, biking, car travel—as opposed to school experiences where they have rote memorized numbers from tables. Consistently, it is to these common experience anchors that people use various measurement scales.

For us teaching astronomy, this is where the cognitive science issue of novice-vs-expert rears its ugly head (13).  Compared to a novice, an expert uses their experiences to automatically and often unawareingly change between scales.  For example, when measuring the distance between Earth and Neptune, would one describe it in meters, astronomical units, or light-travel-time?  The answer is, of course, it depends on why an astronomer would want to know such a distance.  For an expert, using meters, AU, and ly is readily interchangeable whereas for a novice, these are three totally separate determinations.  When I ask my students how far it is from where they are sitting to the front entrance of the building, or to the city with the state capital, they can usually give me a reasonably close answer using units of their OWN choosing, often it is time in minutes or hours, or in distances like American football field-yards or miles.  If I specify the units their answers must be in, such as feet or kilometers, my college students generally have no idea.  Experts are fundamentally different than students.  We readily move between parsecs and light-years, whereas our novice students cannot—no matter how much we wish they could.  As it turns out, if students could easily move between measurement systems, they wouldn’t be novices, they’d be experts and we teachers might be out of a job.  In other words, we can’t simply tell students that a meter is about a yard, and two miles is about 3 kilometers and be done with it—if it was that easy, we’d have done that already and there would be no ongoing debate.

One might naturally think that astronomy students should be able to easily memorize a few benchmark sizes (e.g., Earth’s diameter is 12, 742 km and an astronomical unit is 1.4960 E 8 kilometers) and then they could handle almost anything by subdividing or multiplying.  The problem is that the characteristic of an expert, as compared to a novice, is that experts chunk ideas more easily, allowing experts to make quick estimates.  Novices have no strategies to be able to do this.  Moreover, Hogan and Brezinski (14) aggressively argue that an individuals’ own spatial visualization skill level is the most important component in measurement and estimation by portioning and estimating distances.  Unfortunately, these do not appear to be directly related to one’s calculation skills and teaching students to convert between units using dimensional analysis heuristics is mostly fruitless.  The bottom line here is that students rarely enter the classroom with well-developed sense of scales going beyond their human-body size and experience with movement from one place to another.  The cognitive science-based perspective of a novice-verses-experts teaching problem is well-poised to interfere with any instruction where students are being given sizes and scales in units with which they are highly unfamiliar.

As if this weren’t challenging enough, there is also the cognitive science-based problem of cognitive load.  Cognitive load is the notion that students only have so much working mental capacity at any one time available to apply to learning new ideas. (15).  That means when a professor says a comet is 10,000-m across, the Sun’s diameter is 1.4 million-km, the Virgo cluster is 16.5 Mpc, and a quasar is at a “z of 7”, students either have to stop being active listeners to your lecture for 30-seconds and figure out what those units mean and miss what you really wanted them to know, or they have to ignore any referenced numbers all together so that they can keep paying attention.  The teaching challenge here is that I suspect the most important thing you want students to take away from a lecture about a quasar at a z of 7 isn’t precisely how far away it is, but instead what it tells you about the nature of the universe.  The risk here is that introducing numbers and unfamiliar units gets in the way of the ideas you are most likely trying to teach.

The research alluded to earlier points to using relative sizes as being more fruitful for helping students learn than absolute, numerical sizes.  I try to rely on things they are most familiar with and then help them to use simple, whole number ratios.  For example, North America is about three Texas’ wide, the Moon is about one North America, Earth is about four Moon’s, Betelgeuse is 1,000 times larger than the Sun, and …. Notice I don’t have to say very many of these ratios before you starts skimming to the end of this paragraph yourself : That’s the same experience your students too often have. Fortunately, many modern astronomy textbooks now give planet sizes in Earth-radii, just like we have long given solar system distances in astronomical-unit Earth-orbit sizes (17).  I think this is a really good starting place. After all, five years from now when you run into an alumni student, do you really want the one thing that they most remember about your class to be the distance to the Crab Nebula in parsecs?

As astronomy teachers focused on student learning, we seem to be left no longer with the seemingly simple question of “should I teach with metric or US-standard?”, but with the more robust question of “do I seriously take on the semester-long task of teaching scales and measurement or do I teach using ratios using familiar distances, which vary widely from student to student in my diverse classroom?”  Re-framing the question this way is much more actionable and diminishes the less productive “science versus the rest of the world” notion.  I contend that this new either-or question is much more worthy of research and debate.

Personally, I have a lot of astronomical ideas with which I want my students to engage.  My personal belief is that I’d rather students deeply engage in physical processes and causality of astronomy, stimulated by wonder and curiosity.  I further want them to engage in how astronomy is deeply entrenched in society and technology.  To do this, I choose to give up on allocating the time necessary to fully teach the metric system and focus my efforts on teaching things in terms of relative sizes and avoid using a self-defeating calculator-task whenever possible (16).   Experienced mathematics teachers will tell you that you can’t really teach the metric system with a single 15-minute lecture to novices: Teaching the metric system takes a commitment throughout the entire course.  The notion that metric is easy because it is all base-10 is nonsense when it comes to teaching astronomy, despite my desire for it to be otherwise. The bottom line is that I decided that I want to teach astronomy rather than teach the metric system, and I don’t have time to teach both well.

My textbook writing solution (17) is that I provide sizes in both metric and US-standard units where it makes sense.  Against the common convention, we have made the agonizing choice to include the US-standard units first (with the metric units parenthetically) so as not to unnecessarily put off neither the students who find US-standard units to be less off putting, nor the vast majority of professors who desire their science course to be characterized by the metric units characteristic of science. My eventual, downstream goal is to provide size and scale referents for as many common anchor objects as possible without overloading the students, and focus on allocating serious class-time to teaching the sizes of a few core anchor-sized objects.  These anchor objects include sizes of Earth, Sun, Earth’s orbit, average distance between stars, Milky Way diameter, distance to Andromeda, and light-year, to name a few.  Fortunately, teaching the distance of a light-year is not either a metric unit or a US-standard unit, and is thus elevated above the present debate no matter what your perspective.


CITATIONS

  1. Helgren, F. J. (1973). Schools are going metric. The Arithmetic Teacher, 265-267.
  2. Vervoort, G. (1973). Inching our way towards the metric system. The Arithmetic Teacher, 275-279.
  3. Suydam, M. N. (1974). Metric Education. Prospectus. URL: http://files.eric.ed.gov/fulltext/ED095021.pdf
  4. Phelps, R. P. (1996). Education system benefits of US metric conversion. Evaluation Review, 20(1), 84-118.
  5. Jones, M. G., Gardner, G. E., Taylor, A. R., Forrester, J. H., & Andre, T. (2012). Students’ accuracy of measurement estimation: Context, units, and logical thinking. School Science and Mathematics112(3), 171-178.
  6. Tretter, T. R., Jones, M. G., Andre, T., Negishi, A., & Minogue, J. (2006). Conceptual boundaries and distances: Students’ and experts’ concepts of the scale of scientific phenomena. Journal of research in science teaching43(3), 282-319.
  7. Jones, M. G., Tretter, T., Taylor, A., & Oppewal, T. (2008). Experienced and novice teachers’ concepts of spatial scale. International Journal of Science Education30(3), 409-429.
  8. Slater, T., Adams, J. P., Brissenden, G., & Duncan, D. (2001). What topics are taught in introductory astronomy courses?. The Physics Teacher,39(1), 52-55.
  9. Eames, C., Peck, G., Eames, R., Demetrios, E., & Mills, S. (1977). Powers of ten. Pyramid Film & Video, available on YouTube at: http://youtu.be/0fKBhvDjuy0
  10. Cox, D. J. (1996, January). Cosmic voyage: Scientific visualization for IMAX film. InACM SIGGRAPH 96 Visual Proceedings: The art and interdisciplinary programs of SIGGRAPH’96(p. 129). ACM.  The IMAX Cosmic Voyage Video, narrated by Morgan Freeman, available on YouTube at: http://youtu.be/cMRoDyc8W2k?t=7m10s
  11. Jones, M. G., Taylor, A., Minogue, J., Broadwell, B., Wiebe, E., & Carter, G. (2007). Understanding scale: Powers of ten. Journal of Science Education and Technology16(2), 191-202.
  12. M.G. Jones (2013). Conceptualizing size and scale. In Quantitative reasoning in mathematics and science education: Papers from an International STEM Research Symposium WISDOMe Monograph (Vol. 3).  Available online at: http://www.uwyo.edu/wisdome/publications/monographs/
  13. Bransford, J. D., Brown, A. L., & Cocking, R. R. (1999).How people learn: Brain, mind, experience, and school. National Academy Press. Available online at: http://www.nap.edu/catalog.php?record_id=9853
  14. Hogan, T. P., & Brezinski, K. L. (2003). Quantitative estimation: One, two, or three abilities?.Mathematical Thinking and Learning5(4), 259-280.
  15. Sweller, J. (1994). Cognitive load theory, learning difficulty, and instructional design.Learning and instruction4(4), 295-312.
  16. Slater, T., & Adams, J. (2002). Mathematical reasoning over arithmetic in introductory astronomy.The Physics Teacher40(5), 268-271.
  17. Slater, T. F., & Freedman, R. (2014). Investigating astronomy: a conceptual view of the universe. Macmillan-WH Freeman Higher Education. (available in the CAPER Team Book Store)

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