Education ∪ Math ∪ Technology

Year: 2011 (page 19 of 28)

Seth Godin asks What’s high school for?

Seth Godin says:

Perhaps we could endeavor to teach our future the following:

  • How to focus intently on a problem until it’s solved.
  • The benefit of postponing short-term satisfaction in exchange for long-term success.
  • How to read critically.
  • The power of being able to lead groups of peers without receiving clear delegated authority.
  • An understanding of the extraordinary power of the scientific method, in just about any situation or endeavor.
  • How to persuasively present ideas in multiple forms, especially in writing and before a group.
  • Project management. Self-management and the management of ideas, projects and people.
  • Personal finance. Understanding the truth about money and debt and leverage.
  • An insatiable desire (and the ability) to learn more. Forever.
  • Most of all, the self-reliance that comes from understanding that relentless hard work can be applied to solve problems worth solving.

Personally, I think Seth Godin is right on the money with this post. Note that really none of these can be very easily assessed using a standardized exam, except possibly the understanding of finance, and that might be better demonstrated by running a business.

I’m going to add a couple of my own ideas to his list.

  • Develop an appreciation for nature.
  • Learn what a healthy and balanced life style looks like.
  • Learn about different perspectives, points of view, and the power of words to convey meaning of those perspectives.

 

 

 

Dear 16 year old me

Here is an absolutely amazing video shared by Karl Fisch. Please share it with your students.

 

Idea: Have your grade 11 and grade 12 students create their own public service video for their 10 or 12 or 14 year old selves. 

How do you see yourself?

Venn diagram - geek, nerd, dork

(image credit: dullhunk)

One of the purposes of school, in my opinion, is for students to find themselves, and discover other people who think similarly to them, and have similar interests. It is also equally important that kids discover that the world contains a wide range of opinions and diversity. Understanding these opinions, and why people have such different opinions is a critical component of an educated person.

Note, that I’m not in favour of students applying labels to themselves, and to other people. Labels, despite the usefulness of the diagram above, are limiting the discourse about what it means to be human to a small range of possible answers, when in reality, we are all different.

Peer observation vs teacher evaluation

The basic model for teacher improvement has three assumptions.

  1. We should train teachers effectively before they start their careers. If the current round of teachers has problems, we try and address those problems in the future generation of teachers by modifying the pre-service training they receive.
  2. Teachers need to be observed regularly by trained professions to ensure they are using best practices.
  3. Professional development is an occasional activity in which teachers engage wherein they learn all about the latest best practices in education.

None of these assumptions is actually completely true, nor are they sufficient to improve our education system.

The problem with the first assumption is that the feedback system for improving teacher education of pre-service teachers is incredibly slow. So slow in fact, that despite the current revolution in our information technology, virtually none of these changes has made its way into mainstream teacher education. Only 5 out of 9 teacher education programs in BC even include any kind of technology training for teachers. While we can argue that technology is not necessary for teaching, at the very least the arguments both for and against the use of technology in education should be shared with pre-service teachers. There are other areas in which teacher education programs suffer, technology education is just one example. We can therefore expect this model of improving the practice of teachers to be insufficient.

The problem with the second assumption is that observation of practice doesn’t actually lead to improvement. One can argue that the process of evaluation is intended to measure the current effectiveness of a teacher so as to better support their future learning of their craft, but rarely is enough time allotted for teachers to actually improve what they do. We apportion professional learning into meetings or workshops held a few times a year, but very rarely is any time given to teachers to focus on improving their practices in their area of need.

The reasons why professional development is an occasional task is primarily because of the expense involved. It is expense to release teachers from a day off of teaching to go to a workshop, both because of the lost instructional time, the cost of a substitute teacher, and the costs associated with the conference itself. In British Columbia, we have 5 professional development days for teachers in the public system. In the private system, teachers often have only 2 days for professional development as a group, but have much more funding for engaging in more personalized professional development through attending conferences and workshops.

However, both of these systems for professional development assume that access the information teachers need to improve is expensive and difficult to find. For those of us involved in professional learning through Twitter, we know that this isn’t true. You can easily learn from your peers around the world any time you want, provided you have access to a social network, and time to access it.

This doesn’t mean that the professional learning that is already occuring in British Columbia is pointless, it certainly serves as a way to establish norms for our education system, and for those in charge to share their perspectives on what works in education. However it is insufficient as a way to ensure continuing teacher improvement.

Here is a simple change. Instead of an administrator infrequently evaluating teachers, teachers should observe teachers (and more importantly the whole classroom) frequently. In this case, both the observee and the observed learn from the experience, provided they have time to deconstruct it afterwards. If you do this often enough, teachers will naturally improve their practice as they will have much more feedback about what is working or not working as compared to a system where they receive occasional evaluations. I have done this myself as a teacher, and have watched hundreds of my colleagues teach, which has definitely improved my own teaching. We must be careful not to tie peer observations to an evaluation system, lest we end up creating a peer surveillance system!

Clearly novice teachers will benefit from this model. You can see my post on the apprenticeship model of teaching, for another model of pre-service training. However if veteran teachers observe beginning teachers (and offer support) they will also learn about new practices in education themselves that were part of the beginning teacher’s pre-service training. An experienced educator should be able to take a new educational practice, even one wielded by a novice, and implement it effectively in their own teaching.

The only issue I see with this system is teachers would need time to participate in peer observations. I would argue that the benefits of allowing teachers the time to observe each other every couple of weeks would outweigh the lost instructional time. There is much educational waste that occurs wherein teachers use practices to teach students which are clearly ineffective to an outside observer; sometimes even a small improvement in what teachers do would make a large improvement on the effectiveness of the remaining instructional time.

I would argue then that peer observation is far more powerful a tool than administrator observations. While observations from administrators, as experienced educators, are an important tool in improving teaching practicing and for aligning those teaching practices with the expectations of the school, they are not enough to accomplish a primary goal of teacher observation, improving instruction.

Social media for parents

Reprinted with permission from our school’s Imprint magazine.

On May 2nd, at 6:00 PM, Stratford Hall will be hosting a social media bootcamp for parents, with myself leading the workshop. The intention of the night is to teach parents some of the basic issues with social media, and how parents can be proactive in helping their children understand these issues.

Social media has been around for a few years now, but very few schools have been proactive in teaching students about the issues involved with it; the same is true of most parents. Given that social media is not likely to leave our lives any time soon, we must find ways to adapt our societal structures to include training for kids (and adults) in what issues social media bring into our lives.

Social media is a new way that human beings are connected through a mixture of online- and text messaging-based services. It has become a new mode of communication as it allows mass communication at unprecedented levels. Never before in history have human beings been able to communicate with each other on such scale, with such speed, and with virtually no cost associated with that communication.

This form of mass communication has some issues.

It is almost too easy to post information to these social networks, including information that is false or libelous. It is very common to hear in the news that someone has posted something foolish on another person’s Facebook page or Twitter feed. It is important to note here that the behaviours of these people haven’t changed, they just have a much wider audience with which to share their idiocy. With a large audience, and a simple venue through which to post their thoughts, they can share information often before they have time to completely consider the consequences of their actions.

Another problem is that social networks have become a distraction for many people. With the ability to maintain constant communication with a large group of followers, some people have fallen prey to narcissism, and a near addiction to using the social media. School-aged children are not only distracted from their work by the people in their immediate presence, but everyone that they can connect to through their devices as well.

On the plus side, social media also has powerful connective abilities. Through social media, everyone can find the part of society to which they belong, and those who were once isolated can have a community. The events in Tunisia and Egypt have shown just how powerful the community-building effect of social media can be, as the tool helped to rally and form a cohesive opposition to the ruling powers in those two countries.

Through my own social network, I have access to information which would otherwise be difficult, time-consuming, and in some cases even expensive to access. I can ask a question, and very quickly receive a response, no matter how complicated the question may be. I can interact with educators all over the world and share my expertise, while borrowing others’ expertise to solve my own problems.

So social media is a double-edged sword, just like every other communication tool we use. It has the power to pull together our planet closer than ever before, but it also brings new problems to our society, with which we are still learning how to cope. Stratford Hall’s aim is to prepare our students for a world in which social media exists, rather than completely ignoring its presence.

Here is the presentation I’m going to share with parents (posted under a Creative Commons Attribution-Noncommercial-Share-alike license).

Donor’s Choose for Global Education

I just sent off this email to someone in the UNESCO office for Global education. What do you think?

Hi there,

I have an idea which I would like to share. There is a website called Donor’s Choose, which lets people choose funding for education projects sponsored by teachers all over the United States. It’s been working well in the US, and you can find out more about it here: http://www.donorschoose.org/

My idea is for a similar website, but focused on education projects all over the world. People could fund particular projects they find appealing directly, and we could help spread the job of keeping the people receiving the fund accountable to everyone who is donating for the projects.

Perhaps with each project, we could send a cheap digital camera, and the people participating could mail back the SD card once they have some photographic evidence of their project being completed. I’m not exactly sure on the accountability model that would be appropriate, but I’d see it as a self-reporting system for project completion tied to the donors themselves being able to report if there is no evidence that a project has been completed.

It would essentially work like a micro-credit system, with lots of small donations being used to fund small projects around the world directly, as opposed large amounts of aid being applied to big projects.

An example of a small project that could be a kick-starter funding is one we are working on through our school, specifically, building a wall for an elementary school in Kipevu. See http://kipevu.org for some details on our project. We’ve discovered that there are many small schools in the area which also want walls around their grounds, before libraries, computers, electricity, or anything else, they just want their schools to be safe.

The reason why this project would work is that it would add a real human connection to the projects that are being done, one that it is hard for people in the developing world to see. Further, it would focus on projects that people want solved in their local communities, rather than massive aid projects like essentially failing the One Laptop per Child program.

Thank you for your time.

David Wees

 

I teach kids, not subjects

I listened to a podcast recently where a teacher made the claim that his job is to teach chemistry, not values, and I would argue that if this was really the case, he is failing at his job. If we think of values as being a set of cultural norms, then it is easy to argue that it is impossible to engage in the act of teaching without teaching values.

When we establish classroom rules, we are enforcing our own cultural norms over what is considered appropriate behaviour. For example, if you set the rule that only one person should talk at a time, you are enforcing your cultural norm about respect. If your students come to your classroom without this norm, and you are successful in your indoctrination, when they leave the classroom with the norm, you have taught them a value.

Even if you establish your classroom "rules" democratically, there is still an transfer of values that occurs. First, the value of democracy itself, that it is worthwhile to engage in conversation about things as important as rules, and the rules that are established will likely not reflect the values of an one individual, but rather a blend of the group.

School is filled with hidden values that we pass along to children, as John Taylor Gatto pointed out in his essay, "The Six Lesson School Teacher." Be on time, finish your work, respect each other’s personal space, don’t pick on people, be nice, and many more.

It is impossible to engage in the act of teaching, or even in any communication whatsoever, and not teach values. In every interaction between two or more people, there is an establishment of norms, sometimes explicitly, sometimes implicitly through body language and sometimes through exclusion of people not following your norm.

So when someone says they teach x and not values, I would challenge them and push them to see that this is impossible. We should at least be explicit with each other as educators what our cultural purpose is; the indoctrination of children to our society’s belief system.

A constructivist approach to symbolic logic

First, some background. Symbolic logic is a way of taking ordinary sentences, and turning them into mathematical statements, and then examining the truth value of the sentences by working in the symbolic form. An example of a complex argument which was completed using almost all symbolic logic, see Gödel’s theorem.

Normally when I teach symbolic logic, I stand up at the front of the room and carefully go through each logical connective covered in the course, and the students take notes, then work on some problems to solidify their understanding. Today I decided to try something different.

I went through one example logical connective, specifically the If P then Q connective, normally shown as P → Q. The truth table for this logical connective is shown below.

P Q P Q
T T T
T F F
F T T
F F T

Update: I’ve fixed the entries in the truth table above (shown in red) as for some reason I put in the wrong values. Thanks to @suburbanlion for pointing out my goof.

We talked about the different possible situations for this one connective, and then I wrote down the other connectives we need to cover for our course, asked the students to break into small groups, and decide in their groups what the truth value should be for these connectives.

Logical connective Sample sentence Symbolic sentence
 ∧  I go to the movies and I eat dinner.  P ∧ Q
 ∨  I go to the movies or I eat dinner.  P ∨ Q
 ↔  If and only if I go to the movies, then I eat dinner.  P ↔ Q
   Either I go to the movies or I eat dinner.  P ⊻ Q
 ¬  I do not go to the movies.  ¬P

 (Symbols may not display correctly in all browsers)

What was interesting was that all but one group came up with exactly what mathematicians have agreed upon for the different logical symbols, which is by far a much higher success rate than I’ve had in presenting this topic. The one group that had a disagreement, only had a problem with one line of one of their logical connectives, so even they were mostly correct. Once the groups were done, I asked them to write down an explanation of why they felt like they were correct, and to check with other groups for agreement. There were some great discussions that happened during class, with students arguing about why there particular version was correct.

One of the reasons that I think this approach works is because I am making more use of the prior knowledge of students. Teenagers spend a lot of time arguing semantics and these types of sentences are frequently embedded in the language they use. So rather than ignoring their prior experience, I make critical use of it in this discussion approach. Further, the number of discussions and opportunities for students to draw connections between what they know already, and these new ideas is increased by the fact that they have more than just me to argue with over the logic. I’ve essentially taken an activity which has students talking in series (each of them taking turns to ask me questions, and to bring up their counter-arguments) to one that has them working in parallel (they talk to each other, and at one time, there are multiple students talking and discussing the point).

Here’s a quote from this class that I think sums up the experience nicely for me as well: "This is fun! I like trying to figure this out."

Richard Feynman on Education in Brazil

Richard Feynman writes:

….

The lecture hall was full. I started out by defining science as an understanding of the behavior of nature. Then I asked, “What is a good reason for teaching science? Of course, no country can consider itself civilized unless… yak, yak, yak.” They were all sitting there nodding, because I know that’s the way they think.

Then I say, “That, of course, is absurd, because why should we feel we have to keep up with another country? We have to do it for a good reason, a sensible reason; not just because other countries do.” Then I talked about the utility of science, and its contribution to the improvement of the human condition, and all that – I really teased them a little bit.

Then I say, “The main purpose of my talk is to demonstrate to you that no science is being taught in Brazil!”

I can see them stir, thinking, “What? No science? This is absolutely crazy! We have all these classes.”

So I tell them that one of the first things to strike me when I came to Brazil was to see elementary school kids in bookstores, buying physics books. There are so many kids learning physics in Brazil, beginning much earlier than kids do in the United States, that it’s amazing you don’t find many physicists in Brazil – why is that? So many kids are working so hard, and nothing comes of it.

The obvious parallel to draw here is that Science and Math education in the United States from K to 12 (and to some degree other places in the world, like Canada) suffers from the same syndrome. Much of science and math is “taught” but not much of it is learned. If you argue with this premise, you need to ask only a few questions to convince yourself that this is true.

Who uses scientific reasoning and experimentation in their day to day life to solve problems? Who uses mathematics as a tool to solve and explore the richer problems of our world? The answer is, unfortunately, an abysmally small number of people. Such a small number of people in fact, that very few of them are in positions of power and authority, and much damage is done by people who do not understand science and math deciding on educational policy.

Only 14% of US citizens (compared to 59% of Canadians) believe that “humans being have developed over millions of years from less advanced forms of life, but God had no part in this process.” Most people you ask believe that the reason we have seasons is because Earth’s distance from the sun varies during the year. Almost no one uses algebra or calculus in their daily lives to solve problems, and even something as simple as the Pythagorean theorem is rarely used. Quite simply, the general population of both the US and Canada is largely ignorant of how science and mathematics is useful in their lives.

The fact that the US has such an innumerate and scientifically illiterate population is due to nothing else but the poor quality of science and math education over the years. I don’t blame science or math teachers (much) for this problem; in my opinion, it is a problem of a curriculum which attempts to squeeze too much into a few years, and which relies on regurgitation of facts as the primary means of assessment of understanding, rather than any other form of assessment. Further, in many schools experimentation and exploration of ideas is completely gone from the curriculum as the schools attempt to meet requirements of state and federal curriculums.

Everyone I meet falls into two classes of people; those who liked mathematics in school, and those who hated it. From personal experience, the latter group vastly outnumbers the first group, and almost everyone in both groups is pretty feeble at recognizing mathematics in the real world. Neither of these groups has been served by the education they have received.

We rely on a type of pseudo-teaching of ideas in science and math too much. Students can tell you that “the slope of the line is equal to the rise over the run” but couldn’t give you a single practical application of slope if queried. Students can list off the parts of a cell, but given an organism under a microscope they’ve never seen before, they would be hard-pressed to identify those parts of a cell in that organism. We’ve built a generation (or 4) of people who might be able to describe science and math in terms of other simpler mathematical concepts, but who could not identify those concepts in their immediate surroundings, and certainly never apply those concepts to the problems they face in real life.

For example, as I was walking on the street, I heard a man say to another, “That’s why I play blackjack. Cause if you play it right, the dealer busts every time.” This kind of misconception accurately represents the typical person’s understanding of probability, which is to say, not much. Casinos and lotteries get rich because of the ignorance of the people who play.

Why do we insist on teaching using methods which do not produce what we should want as a society; a public which sees the value in the “universal language” of the universe, and uses it on a regular basis to solve problems?

Electronic Textbook reader

I’m in contact with a company called Active Textbook which aims to produce an electronic reader and a platform for sharing pre-existing content in web ready format. Currently their technology uses Microsoft Silverlight (use Moonlight beta on a Mac) but I asked about moving to HTML 5 and the company spokesperson said that this is in the works.

Here is an example (it will take a while to load, and you may need to install Silverlight first):