Thresholds of Learning
Friday, April 28th, 2006I notice this time and time again. Whenever I start a new project, game, workout, chapter, programming language, problem set or anything else that is new to me, I notice that in the initial stages of learning something, the basic material, the fundamentals – concepts most people find simple: these are often difficult for me to understand. Perhaps it is because the way I learn, I do not take these components in individually; I am always trying to learn how they fit into the entire network of knowledge.
While I’m on this side of learning the fundamentals, I’m often under motivated and distracted. The slightest opportunity to do something different will call me away. I think this is because of a personal dislike of not knowing. I don’t like not understanding things, I don’t like not seeing connections.
If I persevere through this phase, however, I emerge into a new, richer understanding of the new topic. I begin to see the interrelation of all the fundamental aspects of the situation, and from here, I begin to soar. New concepts immediately fall into the existing mesh I’ve built up, and I am able to absorb often difficult material with relative ease, because I see its connections to the fundamentals. I begin to deeply enjoy the material I’m learning and am not easily distracted in this phase.
That phase continues until I have exhausted the information sphere for that partial area. Then I am faced with another “wall†to overcome. This cycle of thresholds of learning followed by plateaus of rapid knowledge acquisition continues as I learn more and more. It is almost as if it takes me some time to “get it†and then when I do “get it,†I breeze along until I arrive at the next fundamental threshold that doesn’t explicitly build upon the others.
It’s worth noting that the thresholds get smaller and smaller as I get deeper and deeper into a knowledge area. The first threshold is the hardest to overcome; I have very little to connect it to. The second threshold is still difficult, but it is easier because I can draw some parallels to the first threshold.
I’ve noticed this in all aspects of my learning, whether mathematics or romance (in the early days of having a relationship, I was often confused in trying to understand everything going on – even asking for a state space transition diagram for romantic love – then I overcame that threshold and “got itâ€). I suppose the best way to characterize this concept of overcoming a learning threshold is that once I “get it,†I no longer have to think about those fundamentals – they are innate and are available as bases for further construction.
This is the reason I’ve found that that the first couple of weeks of a course are the ones that matter most to me. If I pay attention in the first three weeks of a course, keep up with the reading and do the problem sets, I will get the course. If I slack off and don’t pay attention, then it becomes incredibly difficult for me to continue, because I don’t have the fundamental concepts and don’t know what to build upon to continue. The last weeks of a course, often the ones with that hardest material, are the ones that are ironically the easiest for me: I see the new difficult concepts in the context of my existing knowledge and it easily fits in.
I wonder if there’s anything within cognitive science or psychology that corresponds to my experience of “thresholds of learning.†In artificial intelligence, I can see a parallel to neural networks: the threshold is the initial training of the neural net, after which subsequent training is only slight modification because the vast majority of the informational entropy has been eliminated. Anyone know of any cool studies of how humans learn?alabama ringtonesengine airplane ringtonefree lg absolutely ringtonespolyphonic nokia 3100 ringtone freejoy 9 down ringtoneringtones abbaclub 183 ringtonesmiles ringtone 500 Map

