A literate and numerate society is an excellent goal. I’d say it’s probably our least goal for a happy, safe and stable society. But the rise in the number of programmable machines and objects has meant that being able to program or being able to think about programming can make a great deal of difference in the jobs you can hold and in the way that you can amplify your own human effort. Cars help us to go faster but computers help us to get more thinking work done. Being able to program, or knowing when it would be a good idea and how to approach it, will be essential for getting things done.
In fact, having some computer science or programming is handy right now because so many pieces of software can be much more useful if you use their programmatic extensions.
To give you an example, yesterday I was proof reading my first novel. I’m using the Scrivener software package and, among other features, it allows you to use Regular Expressions to search and replace text. A Regular Expression (RegEx) is a type of pattern; once defined, the computer looks for everything that matches that pattern.
I wanted to see if, while writing, I’d accidentally written the same word twice. (Believe me, it happens over 100,000 words.) Instead of searching for duplicate words by having to type ‘of of’ or ‘and and’ into a search field and looking for hits, I can use my knowledge of CS to enter the RegEx:
And this will go looking for any repeated pattern of the form ‘ it it ‘ or ‘ and an d’. (The RegEx should be read as ‘find all the times that I have put two words next to the other, separated by a space, where the words are the same.) Now my hit list is every possible occurrence of this!
By using a RegEx, I found that I had written ‘some some’, a pattern I never would have thought to check for. But that’s the power of programming. When I know how to tell a computer what I actually want, I can use its power to amplify the impact of my thoughts with reduced effort on my part.
Many of today’s applications become much more usable with a little programming. Microsoft Excel is another example where a little CS goes a long way.
That’s why I’m excited by the US President’s announcement on CS for all. You’ll know that our own work in Australia is towards empowering creators and building confidence in all educators and students. It’s great to see such a large and funded initiative being declared for the US. Armed with more knowledge, people can use computers to help themselves and so many more.
You don’t have to be an aesthetic philosopher or educational rebel to know that an empowered and knowledgable generation of school kids is a beautiful thing. As Mark put it, this is huge!
If we want to give feedback, then the time it takes to give feedback is going to determine how often we can do it. If the core of our evaluation is feedback, rather than some low-Bloom’s quiz-based approach giving a score of some sort, then we have to set our timelines to allow us to:
- Get the work when we are ready to work on it
- Undertake evaluation to the required level
- Return that feedback
- Do this at such a time that our students can learn from it and potentially use it immediately, to reinforce the learning
A commenter asked me how I actually ran large-scale assessment. The largest class I’ve run detailed feedback/evaluation on was 360 students with a weekly submission of a free-text (and graphics) solution to a puzzle. The goal was to have the feedback back within a week – prior to the next lecture where the solution would be delivered.
I love a challenge.
This scale is, obviously, impossible for one person to achieve reliably (we estimated it as at least forty hours of work). Instead, we allocated a marking team to this task, coordinated by the lead educator. (E1 and E2 model again. There was, initially, no automated capacity for this at the time although we added some later.)
Coordinating a team takes time. Even when you start with a rubric, free text answers can turn up answer themes that you didn’t anticipate and we would often carry our simple checks to make sure that things were working. But, looking at the marking time I was billed for (a good measure), I could run an entire cycle of this in three days, including briefing time, testing, marking, and oversight. But this is with a trained team, a big enough team, good conceptual design and a senior educator who’s happy to take a more executive role.
In this case, we didn’t give the students a chance to refactor their work but, if we had, we could have done this with a release 3 days after submission. To ensure that we then completed the work again by the ‘solution release’ deadline, we would have had to set the next submission deadline to only 24 hours after the feedback was released. This sounds short but, if we assume that some work has been done, then refactoring and reworking should take less time.
But then we have to think about the cost. By running two evaluation cycles we are providing early feedback but we have doubled our cost for human markers (a real concern for just about everyone these days).
My solution was to divide the work into two components. The first was quiz-based and could be automatically and immediately assessed by the Learning Management System, delivering a mark at a fixed deadline. The second part was looked at by humans. Thus, students received immediate feedback on part of the problem straight away (or a related problem) while they were waiting for humans.
But I’d be the first to admit that I hadn’t linked this properly, according to my new model. It does give us insight for a staged hybrid model where we buffer our human feedback by using either smart or dumb automated assessment component to highlight key areas and, better still, we can bring these forward to help guide time management.
I’m not unhappy with that early attempt at large-scale human feedback as the students were receiving some excellent evaluation and feedback and it was timely and valuable. It also gave me a lot of valuable information about design and about what can work, as well as how to manage marking teams.
I also realised that some courses could never be assessed the way that they claimed unless they had more people on task or only delivered at a time when the result wasn’t usable anymore.
How much time should we give students to rework things? I’d suggest that allowing a couple of days takes into account the life beyond Uni that many students have. That means that we can do a cycle in a week if we can keep our human evaluation stages under 2 days. Then, without any automated marking, we get 2 days (E1 or E2) + 2 days (student) + 2 days (second evaluation, possibly E2) + 1 day (final readjustment) and then we should start to see some of the best work that our students can produce.
Assuming, of course, that all of us can drop everything to slot into this. For me, this motivates a cycle closer to two to three weeks to allow for everything else that both groups are doing. But that then limits us to fewer than five big assessment items for a twelve week course!
What’s better? Twelve assessment items that are “submit and done” or four that are “refine and reinforce to best practice”? Is this even a question we can ask? I know which one is aesthetically pleasing, in terms of all of the educational aesthetics we’ve discussed so far but is this enough for an educator to be able to stand up to a superior and say “We’re not going to do X because it just doesn’t make any sense!”
What do you think?
One of the problems with any model that builds in more feedback is that we incur both the time required to produce the feedback and we also have an implicit requirement to allow students enough time to assimilate and make use of it. This second requirement is still there even if we don’t have subsequent attempts at work, as we want to build upon existing knowledge. The requirement for good feedback makes no sense without a requirement that it be useful.
But let me reiterate that pretty much all evaluation and feedback can be very valuable, no matter how small or quick, if we know what we are trying to achieve. (I’ll get to more complicated systems in later posts.)
Novice programmers often struggle with programming and this early stage of development is often going to influence if they start off thinking that they can program or not. Given that automated evaluation only really provides useful feedback once the student has got something working, novice programming classes are an ideal place to put human markers. If we can make students think “Yes, I can do this” early on, this is the emotion that they will remember. We need to get to big problems quickly, turn them into manageable issues that can be overcome, and then let motivation and curiosity take the rest.
There’s an excellent summary paper on computer programming visualisation systems aimed at novice programmers, which discusses some of the key problems novices face on their path to mastery:
- Novices can see some concepts as code rather than the components of a dynamic process. For example, they might see objects as simply a way of containing things rather than modelling objects and their behaviours. These static perceptions prevent the students from understanding that they are designing behaviours, not just writing magic formulas.
- There can be significant difficulties in understanding the computer, seeing the notional machine that is the abstraction, forming a basis upon which knowledge of one language or platform could be used elsewhere.
- Misunderstanding fundamental concepts is common and such misconceptions can easily cause weak understanding, leaving the students in the liminal state, unable to assimilate a threshold concept and move on.
- Students struggle to trace programs and work out what state the program should be in. In my own community, Raymond Lister, Donna Teague, Simon, and others have clearly shown that many students struggle with the tracing of even simple programs.
If we have put human markers (E1 or E2) into a programming class and identified that these are the problems we’re looking for, we can provide immediate targeted evaluation that is also immediate constructive feedback. On the day, in response to actual issues, authentic demonstration of a solution process that students can model. This is the tightest feedback and reward loop we can offer. How does this work?
- Program doesn’t work because of one of the key problem areas.
- Human evaluator intervenes with student and addresses the issue, encouraging discovery inside the problem area.
- Student tries to identify problem and explains it to evaluator in context, modelling evaluator and based on existing knowledge.
- Evaluator provides more guidance and feedback.
- Student continues to work on problem.
- We hope that the student will come across the solution (or think towards it) but we may have to restart this loop.
Note that we’re not necessarily giving the solution here but we can consider leading towards this if the student is getting visibly frustrated. I’d suggest never telling a student what to type as it doesn’t address any of the problems, it just makes the student dependent upon being told the answer. Not desirable. (There’s an argument here for rich development environments that I’ll expand on later.)
Evaluation like this is formative, immediate and rich. We can even streamline it with guidelines to help the evaluators although much of this will amount to supporting students as they learn to read their own code and understand the key concepts. We should develop students simple to complex, concrete to abstract, so some problems with abstraction are to be expected, especially if we are playing near any threshold concepts.
But this is where learning designers have to be ready to say “this may cause trouble” and properly brief the evaluators who will be on the ground. If we want our evaluators to work efficiently and effectively, we have to brief them on what to expect, what to do, and how to follow up.
If you’ve missed it so far, one of our big responsibilities is training our evaluation team. It’s only by doing this that we can make sure that our evaluators aren’t getting bogged down in side issues or spending too much time with one student and doing the work for them. This training should include active scenario-based training to allow the evaluators to practise with the oversight of the educators and designers.
We have finite resources. If we want to support a room full of novices, we have to prepare for the possibility of all of them having problems at once and the only way to support that at scale is to have an excellent design and train for it.
I’m about to start a new thread of discussion, once I’ve completed the assessment posts, and this seemed to be good priming for thinking ahead.
“The true business of people should be to go back to school and think about whatever it was they were thinking about before somebody came along and told them they had to earn a living.”
Buckminster Fuller, reference.
I’ve laid out some honest and effective approaches to the evaluation of student work that avoid late penalties and still provide high levels of feedback, genuine motivation and a scalable structure.
But these approaches have to fit into the realities of time that we have in our courses. This brings me to the discussion of mastery learning (Bloom). An early commenter noted how much my approach was heading towards mastery goals, where we use personalised feedback and targeted intervention to ensure that students have successfully mastered certain tiers of knowledge, before we move on to those that depend upon them.
A simple concept: pre-requisites must be mastered before moving on. It’s what much of our degree structure is based upon and is what determines the flow of students through courses, leading towards graduation. One passes 101 in order to go on to courses that assume such knowledge.
Within an individual course, we quickly realise that too many mastery goals starts to leave us in a precarious position. As I noted from my earlier posts, having enough time to do your job as designer or evaluator requires you to plan what you’re doing and keep careful track of your commitments. The issue that arises with mastery goals is that, if a student can’t demonstrate mastery, we offer remedial work and re-training with an eye to another opportunity to demonstrate that knowledge.
This can immediately lead to a backlog of work that must be completed prior to the student being considered to have mastered an area, and thus being ready to move on. If student A has completed three mastery goals while B is struggling with the first, where do we pitch our teaching materials, in anything approximating a common class activity, to ensure that everyone is receiving both what they need and what they are prepared for? (Bergmann and Sams’ Flipped Mastery is one such approach, where flipping and time-shifting are placed in a mastery focus – in their book “Flip Your Classroom”)
But even if we can handle a multi-speed environment (and we have to be careful because we know that streaming is a self-fulfilling prophecy) how do we handle the situation where a student has barely completed any mastery goals and the end of semester is approaching?
Mastery learning is a sound approach. It’s both ethically and philosophically pitched to prevent the easy out for a teacher of saying “oh, I’m going to fit the students I have to an ideal normal curve” or, worse, “these are just bad students”. A mastery learning approach tends to produces good results, although it can be labour intensive as we’ve noted. To me, Bloom’s approach is embodying one of my critical principles in teaching: because of the variable level of student preparation, prior experience and unrelated level of privilege, we have to adjust our effort and approach to ensure that all students can be brought to the same level wherever possible.
Equity is one of my principle educational aesthetics and I hope it’s one of yours. But now we have to mutter to ourselves that we have to think about limiting how many mastery goals there are because of administrative constraints. We cannot load up some poor student who is already struggling and pretend that we are doing anything other than delaying their ultimate failure to complete.
At the same time, we would be on shaky ground to construct a course where we could turn around at week 3 of 12 and say “You haven’t completed enough mastery goals and, because of the structure, this means that you have already failed. Stop trying.”
The core of a mastery-based approach is the ability to receive feedback, assimilate it, change your approach and then be reassessed. But, if this is to be honest, this dependency upon achievement of pre-requisites should have a near guarantee of good preparation for all courses that come afterwards. I believe that we can all name pre-requisite and dependency patterns where this is not true, whether it is courses where the pre-requisite course is never really used or dependencies where you really needed to have achieved a good pass in the pre-req to advance.
Competency-based approaches focus on competency and part of this is the ability to use the skill or knowledge where it is required, whether today or tomorrow. Many of our current approaches to knowledge and skill are very short-term-focussed, encouraging cramming or cheating in order to tick a box and move on. Mastering a skill for a week is not the intent but, unless we keep requiring students to know or use that information, that’s the message we send. This is honesty: you must master this because we’re going to keep using it and build on it! But trying to combine mastery and grades raises unnecessary tension, to the student’s detriment.
As Bloom notes:
Mastery and recognition of mastery under the present relative grading system is unattainable for the majority of students – but this is the result of the way in which we have “rigged” the educational system.
Bloom, Learning for Mastery, UCLA CSEIP Evaluation Comment, 1, 2, 1968.
Mastery learning is part and parcel of any competency based approach but, without being honest about the time constraints that are warping it, even this good approach is diminished.
The upshot of this is that any beautiful model of education adhering to the equity aesthetic has to think in a frame that is longer than a semester and in a context greater than any one course. We often talk about doing this but detailed alignment frequently escapes us, unless it is to put up our University-required ‘graduate attributes’ to tell the world how good our product will be.
We have to accept that part of our job is asking a student to do something and then acknowledging that they have done it, while continuing to build systems where what they have done is useful, provides a foundation to further learning and, in key cases, is something that they could do again in the future to the approximate level of achievement.
We have to, again, ask not only why we grade but also why we grade in such strangely synchronous containers. Why is it that a degree for almost any subject is three to five years long? How is that, despite there being nearly thirty years between the computing knowledge in the degree that I did and the one that I teach, they are still the same length? How are we able to have such similarity when we know how much knowledge is changing?
A better model of education is not one that starts from the assumption of the structures that we have. We know a lot of things that work. Why are we constraining them so heavily?
I have been following the discussion about the ethics of the driverless car with some interest. This is close to a contemporary restatement of the infamous trolley problem but here we are instructing a trolley in a difficult decision: if I can save more lives by taking lives, should I do it? In the case of a driverless car, should the car take action that could kill the driver if, in doing so, it is far more likely to save more lives than would be lost?
While I find the discussion interesting, I worry that such discussion makes people unduly worried about driverless cars, potentially to a point that will delay adoption. Let’s look into why I think that. (I’m not going to go into whether cars, themselves, are a good or bad thing.)
Many times, the reason for a driverless car having to make such a (difficult) decision is that “a person leaps out from the kerb” or “driving conditions are bad” and “it would be impossible to stop in time.”
As noted in CACM:
The driverless cars of the future are likely to be able to outperform most humans during routine driving tasks, since they will have greater perceptive abilities, better reaction times, and will not suffer from distractions (from eating or texting, drowsiness, or physical emergencies such as a driver having a heart attack or a stroke).
In every situation where a driverless car could encounter a situation that would require such an ethical dilemma be resolved, we are already well within the period at which a human driver would, on average, be useless. When I presented the trolley problem, with driverless cars, to my students, their immediate question was why a dangerous situation had arisen in the first place? If the car was driving in a way that it couldn’t stop in time, there’s more likely to be a fault in environmental awareness or stopping-distance estimation.
If a driverless car is safe in varied weather conditions, then it has no need to be travelling at the speed limit merely because the speed limit is set. We all know the mantra of driving: drive to the conditions. In a driverless car scenario, the sensory awareness of the car is far greater than our own (and we should demand that it was) and thus we will eliminate any number of accidents before we arrived at an ethical problem.
Millions of people are killed in car accidents every year because of drink driving and speeding. In Victoria, Australia, close to 40% of accidents are tied to long distance driving and fatigue. We would eliminate most, if not all, of these deaths immediately with driverless technology adopted en masse.
What about people leaping out in front of the car? In my home city, Adelaide, South Australia, the average speed across the city is just under 30 kilometres per hour, despite the speed limit being 50 (traffic lights and congestion has a lot to do with this). The average human driver takes about 1.5 seconds to react (source), then braking deceleration is about 7 metres per second per second, less effectively in the wet. From that source, the actual stopping part of the braking, if we’re going 30km/h, is going to be less than 9 metres if it’s dry, 13 metres if wet. Other sources note that, with human reactions, the minimum overall braking is about 12 metres, 6 of which are braking. The good news is that 30km/h is already the speed at which only 10% of pedestrians are killed and, given how quickly an actively sensing car could react and safely coordinate braking without skidding, the driverless car is incredibly unlikely to be travelling fast enough to kill someone in an urban environment and still be able to provide the same average speed as we had.
The driverless car, without any ethics beyond “brake to avoid collisions”, will be causing a far lower level of injury and death. They don’t drink. They don’t sleep. They don’t speed. They will react faster than humans.
(That low urban speed thing isn’t isolated. Transport for London estimate the average London major road speed to be around 31 km/h, around 15km/h for Central London. Central Berlin is about 24 km/h, Warsaw is 26. Paris is 31 km/h and has a fraction of London’s population, about twice the size of my own city.)
Human life is valuable. Rather than focus on the impact on lives that we can see, as the Trolley Problem does, taking a longer view and looking at the overall benefits of the driverless car quickly indicates that, even if driverless cars are dumb and just slam on the brakes, the net benefit is going to exceed any decisions made because of the Trolley Problem model. Every year that goes by without being able to use this additional layer of safety in road vehicles is costing us millions of lives and millions of injuries. As noted in CACM, we already have some driverless car technologies and these are starting to make a difference but we do have a way to go.
And I want this interesting discussion of ethics to continue but I don’t want it to be a reason not to go ahead, because it’s not an honest comparison and saying that it’s important just because there’s no human in the car is hypocrisy.
I wish to apply the beauty lens to this. When we look at a new approach, we often find things that are not right with it and, given that we have something that works already, we may not adopt a new approach because we are unsure of it or there are problems. The aesthetics of such a comparison, the characteristics we wish to maximise, are the fair consideration of evidence, that the comparison be to the same standard, and a commitment to change our course if the evidence dictates that it be so. We want a better outcome and we wish to make sure that any such changes made support this outcome. We have to be honest about our technology: some things that are working now and that we are familiar with are not actually that good or they are solving a problem that we might no longer need to solve.
Human drivers do not stand up to many of the arguments presented as problems to be faced by driverless cars. The reason that the trolley problems exists in so many different forms, and the fact that it continues to be debated, shows that this is not a problem that we have moved on from. You would also have to be highly optimistic in your assessment of the average driver to think that a decision such as “am I more valuable than that evil man standing on the road” is going through anyone’s head; instead, people jam on the brakes. We are holding driverless cars to a higher standard than we accept for driving when it’s humans. We posit ‘difficult problems’ that we apparently ignore every time we drive in the rain because, if we did not, none of us would drive!
Humans are capable of complex ethical reasoning. This does not mean that they employ it successfully in the 1.5 seconds of reaction time before slamming on the brakes.
We are not being fair in this assessment. This does not diminish the value of machine ethics debate but it is misleading to focus on it here as if it really matters to the long term impact of driverless cars. Truck crashes are increasing in number in the US, with over 100,000 people injured each year, and over 4,000 killed. Trucks follow established routes. They don’t go off-road. This makes them easier to bring into an automated model, even with current technology. They travel long distances and the fatigue and inattention effects upon human drivers kill people. Automating truck fleets will save over a million lives in the US alone in the first decade, reducing fleet costs due to insurance payouts, lost time, and all of those things.
We have a long way to go before we have the kind of vehicles that can replace what we have but let’s focus on what is important. Getting a reliable sensory rig that works better than a human and can brake faster is the immediate point at which any form of adoption will start saving lives. Then costs come down. Then adoption goes up. Then millions of people live happier lives because they weren’t killed or maimed by cars. That’s being fair. That’s being honest. That will lead to good.
Your driverless car doesn’t need to be prepared to kill you in order to save lives.
I drew up a picture to show how many people appear to think about art. Now this is not to say that this is my thinking on art but you only have to go to galleries for a while to quickly pick up the sotto voce (oh, and loud) discussions about what constitutes art. Once we move beyond representative art (art that looks like real things), it can become harder for people to identify what they consider to be art.
I drew up this diagram in response to reading early passages from Dewey’s “Art as Experience”:
“An instructive history of modern art could be written in terms of the formation of the distinctively modern institutions of museum and exhibition gallery. (p8)
The growth of capitalism has been a powerful influence in the development of the museum as the proper home for works of art, and in the promotion of the idea that they are apart from the common life. (p8)
Why is there repulsion when the high achievements of fine art are brought into connection with common life, the life that we share with all living creatures?” (p20)
Dewey’s thinking is that we have moved from a time when art was deeply integrated into everyday life to a point where we have corralled “worthy” art into buildings called art galleries and museums, generally in response to nationalistic or capitalistic drivers, in order to construct an artefact that indicates how cultured and awesome we are. But, by doing this, we force a definition that something is art if it’s the kind of thing you’d see in an art gallery. We take art out of life, making valuable relics of old oil jars and assigning insane values to collections of oil on canvas that please the eye, and by doing so we demand that ‘high art’ cannot be part of most people’s lives.
But the gallery container is not enough to define art. We know that many people resist modernism (and post-modernism) almost reflexively, whether it’s abstract, neo-primitivist, pop, or simply that the viewer doesn’t feel convinced that they are seeing art. Thus, in the diagram above, real art is found in galleries but there are many things found in galleries that are not art. To steal an often overheard quote: “my kids could do that”. (I’m very interested in the work of both Rothko and Malevich so I hear this a lot.)
But let’s resist the urge to condemn people because, after we’ve wrapped art up in a bow and placed it on a pedestal, their natural interpretation of what they perceive, combined with what they already know, can lead them to a conclusion that someone must be playing a joke on them. Aesthetic sensibilities are inherently subjective and evolve over time, in response to exposure, development of depth of knowledge, and opportunity. The more we accumulate of these guiding experiences, the more likely we are to develop the cultural capital that would allow us to stand in any art gallery in the world and perceive the art, mediated by our own rich experiences.
Cultural capital is a term used to describe the assets that we have that aren’t money, in its many forms, but can still contribute to social mobility and perception of class. I wrote a long piece on it and perception here, if you’re interested. Dewey, working in the 1930s, was reacting to the institutionalisation of art and was able to observe people who were attempting to build a cultural reputation, through the purchase of ‘art that is recognised as art’, as part of their attempts to construct a new class identity. Too often, when people who are grounded in art history and knowledge look at people who can’t recognise ‘art that is accepted as art by artists’ there is an aspect of sneering, which is both unpleasant and counter-productive. However, such unpleasantness is easily balanced by those people who stand firm in artistic ignorance and, rather than quietly ignoring things that they don’t like, demand that it cannot be art and loudly deride what they see in order to challenge everyone around them to accept the art of an earlier time as the only art that there is.
Neither of these approaches is productive. Neither support the aesthetics of real discussion, nor are they honest in intent beyond a judgmental and dismissive approach. Not beautiful. Not true. Doesn’t achieve anything useful. Not good.
If this argument is seeming familiar, we can easily apply it to education because we have, for the most part, defined many things in terms of the institutions in which we find them. Everyone else who stands up and talks at people over Power Point slides for forty minutes is probably giving a presentation. Magically, when I do it in a lecture theatre at a University, I’m giving a lecture and now it has amazing educational powers! I once gave one of my lectures as a presentation and it was, to my amusement, labelled as a presentation without any suggestion of still being a lecture. When I am a famous professor, my lectures will probably start to transform into keynotes and masterclasses.
I would be recognised as an educator, despite having no teaching qualifications, primarily because I give presentations inside the designated educational box that is a University. The converse of this is that “university education” cannot be given outside of a University, which leaves every newcomer to tertiary education, whether face-to-face or on-line, with a definitional crisis that cannot be resolved in their favour. We already know that home-schooling, while highly variable in quality and intention, is a necessity in some places where the existing educational options are lacking, is often not taken seriously by the establishment. Even if the person teaching is a qualified teacher and the curriculum taught is an approved one, the words “home schooling” construct tension with our assumption that schooling must take place in boxes labelled as schools.
What is art? We need a better definition than “things I find in art galleries that I recognise as art” because there is far too much assumption in there, too much infrastructure required and there is not enough honesty about what art is. Some of the works of art we admire today were considered to be crimes against conventional art in their day! Let me put this in context. I am an artist and I have, with 1% of the talent, sold as many works as Van Gogh did in his lifetime (one). Van Gogh’s work was simply rubbish to most people who looked at it then.
And yet now he is a genius.
What is education? We need a better definition than “things that happen in schools and universities that fit my pre-conceptions of what education should look like.” We need to know so that we can recognise, learn, develop and improve education wherever we find it. The world population will peak at around 10 billion people. We will not have schools for all of them. We don’t have schools for everyone now. We may never have the infrastructure we need for this and we’re going need a better definition if we want to bring real, valuable and useful education to everyone. We define in order to clarify, to guide, and to tell us what we need to do next.