War games and aggression

In terms of general use, girls utilized computers to connect with others, and boys used computers to compete with others. – Christie (2005)

There are clear gender differences in the way adolescents use computers and play computer/console games. Boys tend toward the violent, competitive games. This is not just my own experience as the above quote from a large study of middle schoolers in South Carolina shows.

Furthermore, and more worrisome, the violence in the games may spill over into real life. In 2004, Gentile et al. found that:

Adolescents who expose themselves to greater amounts of video game violence were more hostile, reported getting into arguments with teachers more frequently, were more likely to be involved in physical fights, and performed more poorly in school. –

They reference a 2001 study by Anderson and Bushman that integrated a lot of the previous work and showed that:

… across 54 independent tests of the relation between video game violence and aggression, involving 4262 participants, there appear to be five consistent results of playing games with violent content. Playing violent games increases aggressive behaviors, increases aggressive cognitions, increases aggressive emotions, increases physiological arousal, and decreases prosocial behaviors. These effects are robust; they have been found in children and adults, in males and females, and in experimental and non- experimental studies

In graphical form it looks like this:

How video games lead to violence
How video games lead to aggression. (From Anderson and Bushman, 2001)

I can’t say I’ve observed this myself, but it is certainly cause for concern. In fact, a later study by the same authors and Nicholas Carnagey (Carnagey et al., 2007) found that people who played violent video games were actually physically desensitized to violence (though the method used in this study is not nearly as convincing as the previous work).

Finally, the degree you can personalize characters in video games is improving rapidly. Some very recent research from Fischer et al. (2010) found that:

playing a violent video game with a personalized game character … increased aggressive responses.

I have to say that I find the evidence from this albeit quick survey of the science to be both disturbing and damning. Of course these scientific studies are statistical averages, and each individual is different and is affected by a larger environment than is just in the violent video games. Indeed, I have played these games myself, I know intensive gamers, and have students who regularly play these games and can’t say that I’ve observed much correlation with the games and aggressive behavior. But then again it is sometimes hard to see the forest from beneath the trees.

I guess I’m going to have to be more strict about violent video games. We don’t allow them in the classroom (in general), but I think I’m going to have to stress the issue a bit more when I talk to students and their parents. Of particular concern is when violent games overlap with video game addiction. As with everything in life, moderation is important, and in a time when students are going through large changes and discovering themselves it is essential to help them with self-regulation.

Citing a blog

Because my students use a lot of online sources I always emphasize the importance of watching out for copyright infringement and making sure they cite their references. This is easy enough to say but for a lot of internet content there is a lot of conflicting information about how to write citations.

Blogs in particular are difficult to cite, so I thought it would be useful to add the citation to the bottom of each of my blog posts as an example (it also allowed me to figure out how to write a WordPress Plugin). After looking at a number of referencing styles I finally settled on the Yale University Writing Center’s APA format.

You should be able to see what it looks like below. I’ve made parts of the reference links, which help connect directly to the post and the website, but do not greatly affect the official style.

From novices to experts

Socrates teaching (from Wikimedia Commons).

The primary role of an instructor is to transform a novice into an expert within a given subject area. – Cooper (1990)

The above quote comes from a paper on instructional design by Graham Cooper. I don’t quite agree with it entirely since it does not seem to allow for a well rounded view of a student as an individual, or the Socratic ideal, but it does seem applicable to the more strictly academic areas in the middle school curriculum.

In order to figure out what distinguishes experts from novices, cognitive scientists have spent a lot of time observing the two groups. Their key finding has been that as you become an expert on a topic, you construct mental pictures (or schemes) of the shapes of problems, so when you encounter a new problem you can just fit the new problem to the mental pictures you have and see which best fits. It’s a bit like learning rules of thumb that apply to different situations. When a problem comes up, the expert can quickly whip out the right rule of thumb from their mental back pocket while the novice, though equally smart, needs to figure out all the steps with some degree of trial and error.

This is a nice perspective when it comes to teaching something like solving equations, but I think one important distinction of the Montessori philosophy is the belief that adolescents should also be learning flexibility, and be capable of dealing with novel problems. Because adolescence is when students are just becoming able to think abstractly (at least according to Paiget), and abstract thinking needs to be practiced, it is necessary that students encounter novel, challenging problems on a regular basis.

Pangea breakup in reverse (adapted from image in Wikimedia Commons).

A lot of creative and problem solving thinking comes from hashing out new problems. In a globalized world, where technology is capable of dealing with routine tasks, be they constructing a car or solving a series of equations, creative problem solving is becoming a more and more valuable skill. Especially now that “The World is Flat“.

Math map

When introducing the x,y coordinate system using a world map it is most effective if you use the right type of map projection. Most maps use a Mercator projection which stretches thing out as you get closer to the poles. You can see this in how the latitude lines get further apart as you get closer to higher latitudes and Antarctica and Greenland get all stretched out.

Mercator map from Wikimedia Commons.

The Mercator map is great for navigation, because if you measure angles on the map (bearings) between two places, you get the right bearing to sail your ship.

The better map to use for demonstrating the coordinate system would have an equirectangular projection, where all of the lines of latitude and longitude are equally spaced. These are harder to find, so I’m posting here a background map with the latitude and longitude marked on it (in 10 degree increments).

Equirectangular world map. Click on the image for a larger version. This is image is free to use if you cite this website (see cc-by-nc).

Notice the difference in sizes between the maps and the size of Greenland.

I’m also posting here, because it might be useful, a simple linear graph in Excel (or for OpenOffice) that simply plots lines if you enter the equation in slope-intercept form. There are lots of websites that let you do some really cool things (I’ll post about them later), but sometimes the simplest is what you want.

The importance of thinking about thinking

Know thyself - Socrates (and others) from Wikimedia Commons.

Personal World is the time for introspection. Every day students get a chance to think about themselves and, hopefully, about how they think. Thinking about your own thinking is called meta-cognition, and there is growing scientific evidence that it is an important life skill that leads to better decision making.

According to Jean Paiget’s theory of cognitive development students only begin to develop the capacity for abstract and meta-cognitive thinking in the middle school years. However, further research has shown that only about 30-35% of high schoolers actually develop the skill (it’s called “formal thinking” or “formal operations“). The brain develops the capacity for formal thinking in early adolescence, but people do not naturally move into that stage; school and the right environment are important.

For formal operations, it appears that maturation establishes the basis, but a special environment is required for most adolescents and adults to attain this stage. – Huitt, W., & Hummel, J. (2003)

The requirement that students spend some time in introspection is one key way that Montessori adolescent programs try to promote formal thinking.

Finally, Jonah Lehrer, a journalist who writes a lot about how people think and makes decisions, points out the importance of metacognition in the qualities that make for a good president.

some studies suggest that when confronted with a complex decision – and the decisions of the president are as complex as it gets – people often do best when they rely on their gut feelings …
However, it has also become clear that listening to your instincts is just a part of making good decisions. The crucial skill, scientists are now saying, is the ability to think about your own thinking, or metacognition, as it is known. Unless people vigilantly reflect on how they are making an important decision, they won’t be able to properly use their instincts, or know when their gut should be ignored. Indeed, according to this emerging new vision of decision-making, the best predictor of good judgment isn’t intuition or experience or intelligence. Rather, it’s the willingness to engage in introspection” – (Lehrer, 2008; emphasis mine)

Other sites linking to this post

    Waves and earthquakes

    There are a lot of Earth Science applications that deal with waves. Seismic waves from earthquakes are a major one that is particularly pertinent after the recent Haitian earthquake. There are quite a number of lesson plans dealing with seismic waves at Larry Braile’s website. Most of the lessons are as practical demonstrations pdf’s and some use downloadable software (Windows only unfortunately), but there are some online applications as well.

    In terms of online resources, the IRIS network, produces nice maps of recent earthquake locations. It also has a good page with “Teachable Moments” regarding recent earthquakes. These include the above video of why the Haitian earthquake did not produce a tsunami.

    Although it’s not directly related to waves, I particularly like the thermal convection experiment on Braile’s website. It provides, with a baking dish, a sterno can, some water and some thyme, a great example of the convection in the Earth’s mantle that drive plate tectonics.

    Mind-Mapping software (Free)

    VUE mindmap

    I recently received a tip about the VUE mind-mapping software. It’s free from Tufts University and it’s open source, though you do have to register to download the software. A quick test that produced the image above shows that it’s pretty easy to use and can easily incorporate images.

    Free software. It’s better than coupons.

    Publishing: The Blue Pencil

    In searching for venues where my more literary-minded students might get a start in publishing their work, I came across The Blue Pencil. It’s student edited and produced, so it fits the Montessori Philosophy very well. My thoughts based on their website based on my own criteria for publishing literary work:

    • The Blue Pencil “is edited and produced by the students in the Writing & Publishing Program at Walnut Hill School for the Arts“. It is aimed at young writers (12–18) around the world. You submit online and your work is evaluated on an ongoing basis during the school year and they say the try to respond within a month. Unfortunately you typically do not get feedback if your work is not accepted. On the plus side, they only have a one month embargo of your work after they’ve published it before you reacquire the publishing rights.