Mastery vs. Speed

Let’s have some fun and visit an old tale – The Three Little Pigs – for insight into Mastery vs. Speed.

The Three Little Pigs – Mastery vs. Speed

Schools place too much emphasis on speed and not enough on mastery. In subjects such as math, a child should not move to the next topic before the previous (underlying) concept has been mastered. To do so is comparable to building a house on a shaky foundation.

Mastery vs. Speed

Remember the story of the Three Little Pigs? Ever wonder why two of the pigs built houses out of straw and twigs, only to be blown away by the Big Bad Wolf? And what possessed the third little pig to build one out of brick? Was the third pig smarter – born with more talent – better genes? Actually, they were brothers, all from the same litter. And no, they weren’t that different in intelligence; they were pigs for goodness sake.

The first pig went to a school where speed was emphasized. He won top honors for being the “speediest” pig. He ate fast, wallowed fast, and built houses faster than anyone. Building them out of straw definitely helped with the speed thing, because it was available right on the job site. The second pig went to a school where he learned to build the best house in the time allotted. And that was what he did. He built a very fine house of twigs and came in under budget, with a half day to spare. The third pig went to a school where nothing got done on time, because everything had to meet a certain standard before it was complete. Naturally, the third pig was unemployed after graduation, because he took too long to finish projects. Consequently, he was left to build his own house in all his free time. So it went, with each row of bricks slowly added, but only after the row below was set and secure. And you know the end to this story.

Good houses like good scholarship rely upon securing each level before adding the next. A good education is like a good house, it has to rest on a solid foundation. So how is speed an essential factor in building a solid foundation? Ask the first two pigs.

What is more important, quality of work or speed to completion? If I am paying by the hour, maybe speed. But for surgeon, songwriter, barber, and telephone advisory person – I have to go with quality. In fact, if I am paying for successful completion of the job, speed is not my concern. So why is speed such a big deal in school? Why are tests almost always timed?

I had a Chemistry professor in college who gave untimed tests. At the end of the semester, I went to turn in my test and he asked, “So how did you do?” to which I responded, “Couldn’t get the last problem” to which he responded, “Then sit down and derive it”. Bless his heart. He sat there another forty minutes in the empty classroom, while I figured it out. He knew I could and he wasn’t going to let an arbitrary deadline keep me from showing it.

Speed comes with competence, but speed should not be a measure of competence. And for those who are just naturally speedier – walk faster, talk faster, think faster – do they deserve special status? When I go to my doctor, I dislike waiting too long, but I dislike even more, an appointment that is rushed, where I am not carefully listened to, where the doctor does not think deeply before offering an answer to my questions.

A focus on speed often has to do with the need to keep up. Keep up with the rest of the class, get done within the 50-minute class period, and be ready to start the next unit on Monday. But every child is different and every child learns at his or her own rate. Therefore, setting the pace at which they must progress through the course is a set up for half the class feeling bored and half the class feeling overwhelmed and frustrated, convinced they are “just no good at math” or “hate math” or “have math anxiety”.

Designing a class that allows for self-paced learning is a challenge – one many teachers cannot or will not undertake.

The Goldilocks Principle

The Goldilocks Principle[AM1] 

Working within a Zone of Proximal Development promotes growth. ZPD is defined by the zone (tasks or expectations) just beyond what a child can do independently, yet short of what would be overwhelming, even with help. With the help of instruction and/or support (scaffolding) a child can take on new challenges. That scaffolding is gradually withdrawn as the skill is mastered, and the zone is adjusted upwards.

ZPD Is Where We Learn Best

Remember the story of Goldilocks? Of course. Do you remember Vygotsky and the Zone of Proximal Development? Maybe not? Let’s finally put Goldilocks to some good use. Of all people, “Why Goldilocks?” you ask? I’m finding value in that totally self-absorbed, overly entitled, seriously unsupervised little brat? Hear me out. We may get some actual work out of Goldie yet. By linking ZPD and Goldilocks, perhaps the former will be easier to access and the latter will be easier to tolerate.

As you recall, after breaking and entering, Goldilocks began her comfort seeking. “Not too hard, not too soft, just right.” … “Not too hot, not too cold, just right.” Actually that theme is an important one to remember. In fact, let’s call it a principle. The Goldilocks’ Principle: Not too ____, Not too _____, Just right? That’s much easier than calling it the Zone of Proximal Development, which is an essential part of any toolkit for parents, teachers, and coaches.

In its simplest form, ZPD means that children learn best when the work is not too hard, nor too easy, but just right. Vygotsky actually made it a little more sophisticated than a mere paraphrasing of Goldilocks. He said that the Zone of Proximal Development is defined at the lower limit by what children are capable of doing independently, with no help. The upper limit is bounded by what children are not yet capable of doing, even with the help of an adult. Bored vs. Overwhelmed for those of you who want to keep it as simple as it should be. Within the ZPD, children are capable of more challenging work if they have the assistance of an adult. In other words, they are challenged, but they have the necessary support to take it on. Operating within the ZPD means that as they begin to master the work, the amount of necessary support is reduced and the ZPD is adjusted upwards.

Goldilocks Principle (GP) = Zone of Proximal Development (ZPD)

Goldilocks Principle (GP)Zone of Proximal Development (ZPD)What My Mother Calls “Common Sense”
“Too Hot”Cannot do, even with helpOverwhelmed
“Just Right”Zone of Proximal DevelopmentChallenged    (w/ support)
“Too Cold”Can do independentlyBored

The support that allows the child to take on the more challenging work is often called scaffolding, as in the structure used to support workmen while constructing a building. In this case, the scaffolding (in the form of demonstrations, corrective feedback, support or encouragement) is withdrawn as the child attains mastery of the skill and no longer needs the support. Children need high expectations, but they also need the structure and support to make those expectations attainable.

Another good way to remember the workings of ZPD and scaffolding is to visualize a child learning to rock climb. With the aid of a harness, belaying rope and coach, the child can take on the challenge of climbing, trust that he will be safe when he falls, learn from his mistakes, and constantly improve. Without the belaying, most kids stay close to the ground, while the others put the orthopedist’s children through college.

(in terms of BIG IDEAS in Child Development, they don’t get any bigger than Vygotsky’s ZPD)