Graphic by Pearson Education: http://thelearningcurve.pearson.com/
“Kids like the familiar. If it’s early in the morning, they’ll run to their familiar toy, or familiar doll, or familiar adult. But they also get bored very quickly. So they have this funny preference for familiarity that quickly wears out, and then they’ll go for novelty.”--Piotr Winkielman
Learning Curves and Procedural Memory
Learning Curves
The term learning curve is often used to describe graphical representations of a person or group becoming more capable in terms of success, efficiency, or speed over time.
The graphical charting of the capacity or skill in handling more complex tasks goes up, or the time or effort required goes down over time, so the plot representing the increased skill or decreasing time is curved.
The graphical charting of the capacity or skill in handling more complex tasks goes up, or the time or effort required goes down over time, so the plot representing the increased skill or decreasing time is curved.
The first person to describe learning curves was German psychologist Hermann Ebbinghaus in 1885, although the term "learning curve" wasn't used until 1909.
The familiar expression "a steep learning curve" is usually intended to mean that the activity is difficult to learn (a verbal or visual analogy to the effort required to climb a steep hill), although a learning curve with a steep slope up or down may actually represent rapid progress over a short period of time.
The familiar expression "a steep learning curve" is usually intended to mean that the activity is difficult to learn (a verbal or visual analogy to the effort required to climb a steep hill), although a learning curve with a steep slope up or down may actually represent rapid progress over a short period of time.
Learning new skills or knowledge, whether measuring individual student progress or the performance of large numbers of people in business or sports, generally follows the same kinds of plotted curves and have interesting parallels to discuss.
In business, productivity improvement is an important measure that is usually curved as factories or workers become more efficient using time and materials.
In business, productivity improvement is an important measure that is usually curved as factories or workers become more efficient using time and materials.
In sports, individual or teams will usually see a general pattern of early swift improvement and then slowing down over time as the limits of a skill are reached.
Plateaus
With repetition of almost any task, learning occurs, and a person becomes more efficient or effective at carrying out a task. Over time, educators, business experts, and sports coaches have noticed progress in a skill commonly follows an S-shaped curve, with some measure of skill on the Y axis and number of trials on the X-axis. Progress is slow at first, then a subject may experience a burst of learning that produces a rapid rise on the graph.
What is the shape of your learning curve?
Many people believe that plateaus or flat periods during which a skill does not improve normally punctuate learning curves.
What is the shape of your learning curve?
Many people believe that plateaus or flat periods during which a skill does not improve normally punctuate learning curves.
A plateau may be a period of stability after a skill is learned as well as it can be learned. Most growth processes follow the same S-shaped curve. An S-shaped curve of growth levels off because--
The first requirement for surpassing a plateau in academic, artistic, or athletic performance is staying ON the curve! This may be the first time you've stopped improving or being able to immediately grasp a concept, and it can be a shock to gifted students or athletes to realize success does not alway come easily. Some will quit and go in search of the "next thing."
The second requirement is to use observation, reflection, and metacognition to analyze what is needed to pass the plateau and begin climbing again. Understanding a skill as a series of steps or a procedure can help you make progress.
- a ceiling of performance is reached (a pitcher's arm or runner's legs are at peak condition).
- a resource needed for further growth is limited (better equipment or tools),
- a desired level of performance in an environment has stabilized (lack of competition or challenge).
The first requirement for surpassing a plateau in academic, artistic, or athletic performance is staying ON the curve! This may be the first time you've stopped improving or being able to immediately grasp a concept, and it can be a shock to gifted students or athletes to realize success does not alway come easily. Some will quit and go in search of the "next thing."
The second requirement is to use observation, reflection, and metacognition to analyze what is needed to pass the plateau and begin climbing again. Understanding a skill as a series of steps or a procedure can help you make progress.
"Mastery isn’t reserved for the super talented or even for those who are fortunate enough to have gotten an early start. It’s available to anyone who is willing to get on the path and stay on it.” --George Leonard, Mastery, 1992
"The climb is anything but linear. One cannot see in advance how to climb a mountain; it can only be climbed by trial and error. The intellectual mountaineer makes false starts, turns in to blind alleys, finds [themselves] in untenable positions and often has to backtrack, descend, and start again."--Hermann Von Hemholtz, On Thought in Medicine (Das Denken in der Medizin, 1877)
Procedural Memory
Procedural memory is a type of long-term memory which aids the performance of particular types of tasks without conscious awareness of the details based on the repetition of previous experiences. German psychologist Hermann Ebbinghaus, who first identified the concept of learning curves, was focused on the function of memory and the phenomena of forgetting or losing memory in learning new languages.
Procedural memory guides the processes we perform without conscious awareness. When needed, procedural memories are automatic, completing the procedures involved in both cognitive and motor skills, from tying shoes to flying an airplane to reading to speaking languages. Procedural memories are accessed and used without the need for conscious control or attention.
Biology and Physiology Models
In the study of living systems and the human body, procedural memory is created through an organism repeating a complex activity over and over again until all of the relevant neural systems work together to automatically produce the activity. Procedural learning is essential for the development of any motor skill or cognitive activity. Some sources refer to this as "muscle memory," even though the memory patterns appear to be encoded in the brain, the pattern of synapses firing along neural pathways to the muscles will follow an established sequence during the task.
In the study of living systems and the human body, procedural memory is created through an organism repeating a complex activity over and over again until all of the relevant neural systems work together to automatically produce the activity. Procedural learning is essential for the development of any motor skill or cognitive activity. Some sources refer to this as "muscle memory," even though the memory patterns appear to be encoded in the brain, the pattern of synapses firing along neural pathways to the muscles will follow an established sequence during the task.
Educational Models From a Child's First Steps and First Reading
A model for understanding skill acquisition through procedural memory in infants and toddlers has been proposed by Dr. Dee Tadlock. It does not require conscious understanding of a skill's components. Rather, the learner is only required to maintain in conscious awareness a concept of the desired end result. Dr. Tadlock has applied the view successfully to the skill of reading in children and youth. The stages involved include:
These stages are repeated over and over until the learner builds or remodels the neural network to guide an activity appropriately and accurately without conscious thought.
The context for this view is similar to how toddlers learn to walk. The toddler maintains the desired end result (i.e., control over balance, legs, and feet) while making repeated attempts, without conscious awareness of the neural activity required to make the body move. The toddler continues to make attempts until movement is achieved.
A model for understanding skill acquisition through procedural memory in infants and toddlers has been proposed by Dr. Dee Tadlock. It does not require conscious understanding of a skill's components. Rather, the learner is only required to maintain in conscious awareness a concept of the desired end result. Dr. Tadlock has applied the view successfully to the skill of reading in children and youth. The stages involved include:
- Attempt.
- Fail.
- Implicitly analyze the result.
- Implicitly decide how to change the next attempt so that success is achieved.
These stages are repeated over and over until the learner builds or remodels the neural network to guide an activity appropriately and accurately without conscious thought.
The context for this view is similar to how toddlers learn to walk. The toddler maintains the desired end result (i.e., control over balance, legs, and feet) while making repeated attempts, without conscious awareness of the neural activity required to make the body move. The toddler continues to make attempts until movement is achieved.
Artificial Intelligence Models
As researchers attempt to make progress in enhancing artificial intelligence, they have had to understand and discuss problem-solving and learning in humans.
The information processing model proposes that skills develop from the interaction of four components in both computer and human learning. These components include:
As researchers attempt to make progress in enhancing artificial intelligence, they have had to understand and discuss problem-solving and learning in humans.
The information processing model proposes that skills develop from the interaction of four components in both computer and human learning. These components include:
- Processing speed, the rate at which new information is understood in humans or included in the feedback loop of a computer program. This includes observation or sensory input, accessing previous knowledge, and acting on the input based on previous patterns.
- Knowledge, a person's the amount of previous experience about an activity that they can articulate or express; in computers, the factual information stored about an activity.
- Procedural skill, the human mental or physical ability to perform the actual skill; in computers, an existing algorithm (series of steps or routine) to perform the task.
- Processing capacity, a person's ability to use their senses and attention to understand and mentally assess the situation; in computers, the amount of working memory that can be dedicated to the problem while leaving other memory free to perform other computer functions.
Practice Makes Perfect, or Practice Makes Permanent?
The acquisition of skill requires practice. Merely repeating a task alone, however, does not ensure the acquisition of a skill. Skill acquisition is achieved when an observed behavior has changed due to experience, analysis, and practice. This is known as learning and is notoriously hard to measure because it is not directly observable. Added to this, once students, artists, or athletes master a skill it is often difficult for them to articulate the stages they went through in acquiring the skill--it seems as though they have "always known how to do it."
The acquisition of skill requires practice. Merely repeating a task alone, however, does not ensure the acquisition of a skill. Skill acquisition is achieved when an observed behavior has changed due to experience, analysis, and practice. This is known as learning and is notoriously hard to measure because it is not directly observable. Added to this, once students, artists, or athletes master a skill it is often difficult for them to articulate the stages they went through in acquiring the skill--it seems as though they have "always known how to do it."
The Importance of Failure
In the 1960s, psychologists Paul Fitts and Michael Posner described the three stages that anyone goes through when acquiring a new skill.
During the first phase, known as the “cognitive stage,” you’re intellectualizing the task and discovering new strategies to accomplish it more proficiently.
During the second “associative stage,” you’re concentrating less, making fewer major errors, and generally becoming more efficient. Finally you reach what Fitts called the “autonomous stage,” when you figure that you’ve gotten as good as you need to get at the task and you’re basically running on autopilot. During that autonomous stage, you lose conscious control over what you’re doing. Most of the time that’s a good thing.
What separates experts from the rest of us is that they tend to engage in a very directed, highly focused routine, which Ericsson has labeled “deliberate practice.” Having studied the best of the best in many different fields, he has found that top achievers tend to follow the same general pattern of development. They develop strategies for consciously keeping out of the autonomous stage while they practice by doing three things:
In other words, they force themselves to stay in the “cognitive phase.”
Deliberate practice, by its nature, must be hard.
The best way to get out of the autonomous stage and off the plateau is to actually practice failing. One way to do that is to put yourself in the place of someone far more competent at the task you’re trying to master, and try to figure out how that person works through problems.
Benjamin Franklin was apparently an early practitioner of this technique. In his autobiography, he describes how he used to read essays by the great thinkers. He would read the introduction, then close the pamphlet or book and try to reconstruct the author’s arguments according to Franklin’s own logic. He’d then reopen the essay and compare his reconstruction to the original words to see how his own chain of thinking stacked up against the master’s.
During the first phase, known as the “cognitive stage,” you’re intellectualizing the task and discovering new strategies to accomplish it more proficiently.
During the second “associative stage,” you’re concentrating less, making fewer major errors, and generally becoming more efficient. Finally you reach what Fitts called the “autonomous stage,” when you figure that you’ve gotten as good as you need to get at the task and you’re basically running on autopilot. During that autonomous stage, you lose conscious control over what you’re doing. Most of the time that’s a good thing.
What separates experts from the rest of us is that they tend to engage in a very directed, highly focused routine, which Ericsson has labeled “deliberate practice.” Having studied the best of the best in many different fields, he has found that top achievers tend to follow the same general pattern of development. They develop strategies for consciously keeping out of the autonomous stage while they practice by doing three things:
- focusing on their technique,
- staying goal-oriented, and
- getting constant and immediate feedback on their performance.
In other words, they force themselves to stay in the “cognitive phase.”
Deliberate practice, by its nature, must be hard.
The best way to get out of the autonomous stage and off the plateau is to actually practice failing. One way to do that is to put yourself in the place of someone far more competent at the task you’re trying to master, and try to figure out how that person works through problems.
Benjamin Franklin was apparently an early practitioner of this technique. In his autobiography, he describes how he used to read essays by the great thinkers. He would read the introduction, then close the pamphlet or book and try to reconstruct the author’s arguments according to Franklin’s own logic. He’d then reopen the essay and compare his reconstruction to the original words to see how his own chain of thinking stacked up against the master’s.
The Importance of Quality Sleep Time
Practice is clearly an important process for learning and perfecting a new skill. It is well established in both humans and animals that the formation of all forms of memory are also greatly enhanced during the brain-state of sleep.
Sleep has been shown to aid in the development of procedural knowledge, especially when sleep soon follows the activity. Memory consolidation during phases of sleep transforms new short-term memories to long-term memory. For a long time it was believed that the consolidation of procedural memories took place solely as a function of time, but more recent studies suggest, that for certain forms of learning, the consolidation process is exclusively enhanced during an intervening period of sleep between one practice session and the next.
Practice is clearly an important process for learning and perfecting a new skill. It is well established in both humans and animals that the formation of all forms of memory are also greatly enhanced during the brain-state of sleep.
Sleep has been shown to aid in the development of procedural knowledge, especially when sleep soon follows the activity. Memory consolidation during phases of sleep transforms new short-term memories to long-term memory. For a long time it was believed that the consolidation of procedural memories took place solely as a function of time, but more recent studies suggest, that for certain forms of learning, the consolidation process is exclusively enhanced during an intervening period of sleep between one practice session and the next.