Concepts in Mental Development: Limits to Cognition

Children are not taught, they learn. How well and how much they will learn depends upon the skills that they master, long before they are aware that they are learning. Whether or not they have the chance to master those skills depends upon their caretakers.

Even the best of us is limited in what we can learn and what we can conceive. Such limitations applied to Albert Einstein and they apply to you, and your dangerous child. But all of us can learn ways to push against our limits, if we wish. Most people never come close.


The video above, "Cognitive Limits," is a useful introduction to the cognitive science of human learning and memory.

Concepts of "Attention and Memory" are key to understanding how a relatively inexperienced and ignorant human infant can develop into a skilled walking and talking toddler who is into everything he can reach, learning and remembering as he goes.

Everyone is limited in what he can hold in his short-term working memory -- some more limited than others. Likewise, each person is limited as to how many active thinking processes he can maintain simultaneously -- how many dynamic activities he can keep track of.

Brief intro. to Cognitive Load Theory:

In essence, cognitive load theory proposes that since working memory is limited, learners may be bombarded by information and, if the complexity of their instructional materials is not properly managed, this will result in a cognitive overload. This cognitive overload impairs schema acquisition, later resulting in a lower performance (Sweller, 1988). Cognitive load theory had a theoretical precedence in the educational and psychological literature, well before Sweller’s 1988 article (e.g. Beatty, 1977; Marsh, 1978). Even Baddeley and Hitch (1974) considered “concurrent memory load” but Sweller’s cognitive load theory was among the first to consider working memory, as it related to learning and the design of instruction...

...Schema acquisition is the ultimate goal of cognitive load theory. Anderson’s ACT framework proposes initial schema acquisition occurs by the development of schema-based production rules, but these production rules may be developed by one of two methods (Anderson, Fincham, & Douglass, 1997), either by developing these rules during practice or by studying examples. The second method (studying examples) is the most cognitively efficient method of instruction (Sweller & Chandler, 1985; Cooper and Sweller, 1987; Paas and van Merriënboer, 1993). This realization became one of the central tenets of cognitive load theory.

Once learners have acquired a schema, those patterns of behavior (schemas) may be practiced to promote skill automation (Anderson, 1982; Kalyuga, Ayres, Chandler, and Sweller, 2003; Shiffrin & Schneider, 1977; Sweller, 1993) but expertise occurs much later in the process, and is when a learner automates complex cognitive skills (Shiffrin & Schneider, 1977), usually via problem solving. _Cognitive Load Theory

Reference examples for the deeply interested who have a research bent:

Cognitive Bottleneck in Multitasking (PDF)

Dynamic Competition and the Cognitive Bottleneck (PDF)

Advanced educators not only try to introduce useful "schemas" to the learner -- they also try to choose conceptual schemas that will be useful in multiple contexts:

Students do not automatically connect, apply, or extrapolate what they know to other learning contexts. So what foundations can we put in place to ensure we are dong the best we can to nurture conceptual understanding and seek its transfer to new contexts? Here is my attempt to map out a few strategies that work for me:

1. Make transfer the big goal of conceptual teaching and learning – always have ideas in mind about how students can transfer their conceptual understandings and skills to new contexts.
2. Concepts over content – think big picture not activities. The exploration of concepts during collaborative teacher planning sessions will lead to a multitude of activities that can be applied in the classroom – the activities will always take care of themselves!
3. Less is more – working with fewer conceptual understandings means that you can use and extend the knowledge and skills students present in a meaningful, formative way – be mindful.
4. Prior knowledge – Take the time to nurture student’s interest and avenues into the concepts you are teaching.
5. Authentic assessment – map out the formative and summative assessment opportunities that are likely to arise through the teaching and learning experiences. Through these opportunities, challenge student’s misconceptions, stereotypes and tendencies toward rigid thinking.
6. Levels of transfer – transfer can happen on a “near” level where contexts can be very similar, or transfer can happen on a “far” level where the context is more abstract and removed from the original learning, some learners are natural abstract thinkers, others are not.
7. Think discriminatively – be measured about when opportunities arise for students to apply transfer, be mindful about when you can make it happen authentically, create opportunities for success and not failure.
8. Value thinking, nurture it and make it visible – train and engage students in a variety of daily thinking routines, use Socratic questioning in discussions to connect new ideas with existing knowledge. Metacognition, metacognition, metacognition!!
9. Nurture the potential of transfer in younger students – (EY- G1) value and reflect upon the meaning of children’s connections in collaboration with others. Make children’s connections visible and a part of discussion for other learners.
10. Homework – getting students to apply what they are learning in class and explore the meaning of concepts to their own lives can provide rich and diverse opportunities for transfer. Infinitely more valuable than completing worksheets!

_Conceptual Learning in Classroom

In terms of modern classroom educational practise, many of these ideas are more useful than a lot of what one sees -- if they are ever applied in anything but the rare, ideal classroom setting, which is unlikely.

More commonly, the best of theoretical intentions go badly awry when the rubber meets the road. This is particularly true when the masses of teachers attempt to implement the conceptual ideas and schemas of theorists, most of which they themselves only vaguely comprehend.

Remember: The teacher does not teach. Instead, the learner learns. If the learner's mind is not structured and ready to learn the concept for the day, it will not matter how well the teacher has prepared his lesson.

The learning mind must be "empowered" from the earliest age, and continuously reinforced -- until it is the child himself who is doing the reinforcing. This self-reinforcement occurs at different ages for different children -- even under the most ideal conditions. Young Mozart, for example, required much less external reinforcement to achieve a given level of mastery than did young Salieri.

So far, we have skipped around one of the central issues: how to learn difficult concepts which do not come naturally to most children. We know that boosting self-esteem doesn't work for that. We know that paying a cash reward doesn't work. Even the promise of sensory pleasure and euphoric mind states are limited in how well they will expand the learner's conceptual grasp, within apparently innate cognitive and conceptual limits.

But we must learn to walk before we learn to run a marathon up a mountain. This is a blog, not a textbook. Our approach will necessarily seem a bit scattered and of variable depth. Readers may choose to stop reading and abandon the quest at any time, without penalty.

That is not necessarily the case for those who work at the Al Fin Dangerous Child Institute.

An Unexpected "Back Door" Into the Brain?

The modal view in the cognitive and neural sciences holds that consciousness is necessary for abstract, symbolic, and rule-following computations. Hence, semantic processing of multiple-word expressions, and performing of abstract mathematical computations, are widely believed to require consciousness. We report a series of experiments in which we show that multiple-word verbal expressions can be processed outside conscious awareness and that multistep, effortful arithmetic equations can be solved unconsciously. _PNAS Abstract

Researchers at Hebrew University in Israel have discovered that the human brain is capable of unconsciously solving arithmetic equations, and unconsciously understanding multi-word expressions. This "extra-conscious" processing of both words and arithmetic equations caught many researchers by surprise.

To come to these conclusions, the team used a technique known as Continues Flash Suppression (CFS) to present target information to volunteer subjects subconsciously. The technique involves displaying target information to one eye while simultaneously displaying colorful images to the other. The colorful images demand so much attention that the target information is not noticed, at least in the conscious mind.

In the first exercise, volunteers were shown short word phrases during a CFS session; some of which made sense some of which were nonsensical. Afterwards, they were asked to recall the phrase. The researchers found that the volunteers were able to recall the nonsensical phrases faster than those that made sense, indicating they had been understood while still in a subconscious state.

In the second exercise, the researchers used CFS to flash a simple plus/minus type mathematical equation, minus the answer, to one eye, while the other received the colorful images. Afterwards, each volunteer was asked to say out loud a number that was presented to them. The researchers found that response times were shorter when the number shown matched the answer to the math equation they had been shown.

Thus far, CFS is only able to distract the mind from perceiving information for just a couple of seconds, thus, the types of data that can be tested is limited by the amount of information (or its mathematical complexity) that could reasonably be expected to be absorbed in such a short time period. But the results suggest that people might be processing a lot of information in their daily lives that they aren't aware of because their mind is elsewhere, a finding that the researchers suggest, means that views on subconscious awareness and thought processing, perhaps needs updating. _MXP

What the researchers discovered is one of the possible mechanisms for subliminal suggestion, hypnosis, and unconscious solving of problems -- when a solution suddenly "pops into the mind."

This sophisticated "unconscious" processing is certain to leave lingering effects -- particularly if the subject matter of this processing is emotionally relevant to the person.

This approach to unconscious learning and processing has long been utilised by scientists and clinicians who are now working on the Dangerous Child Method project. Because it is so important to lay the groundwork for future learning in a Dangerous Child's mind at as early a stage as possible, much of the earliest training takes place on a pre-verbal and quasi-unconscious level.

While it is never too late to have a dangerous childhood, it is similarly never too early to get started.

A Few Words on Conventional Education from Marvin Minsky

Marvin Minsky is a renowned MIT professor of artificial intelligence, robotics, and cognitive science. He is the author of a number of publications on cognitive science, including The Society of Mind, and The Emotion Machine (Intro).

Here are some of Minsky's thoughts on "The Concept of a General Education" from his MIT webpage:

§2.6 of The Emotion Machine: The “playfulness” of childhood is the most demanding teacher that one could have; it makes us explore our world to see what's there, to try to explain what all those structures are, and to imagine what else could possibly be. Exploring, explaining and learning must be among a child’s most obstinate drives—and never again in those children’s lives will anything push them to work so hard. [1]

Indeed, some children focus so much on their hobbies that their parents fear that this will conflict with their education—and try to find ways to discourage them. However, this essay will propose, instead, to postpone “broad” education until each child has had some experience at becoming an expert in some specialty.

So here we’ll propose to re-aim our schools toward encouraging children to pursue more focused hobbies and specialties—to provide them with more time for (and earlier experience with) developing more powerful sets of mental skills, which they later can extend to more academic activities. These issues are important because our children today are growing up in increasingly complex and dangerous worlds—while our institutions are failing to teach correspondingly better ways to think. The result has been a global pandemic of adults who lack effective ways to deal with increasingly challenging situations.

Conjecture: once a child builds a cognitive tower that works well in some particular realm, that child will thereafter be better equipped to develop proficiencies that can be used in other domains.

The idea is that it seems plausible that the first few such developments could have a major effect on the qualities of that child’s future ones—because those will the child’s first experiments with organizing such ‘vertical’ structures. If so, then this would imply that our children’s early education should focus on activities, hobbies, and specialties that have the ‘desirable’ kinds of such qualities. Of course, this also implies that we’ll need good theories of which such qualities would be desirable’and what kinds of curriculums could help to promote them.

To what extent can a child’s mind spontaneously ‘self-organize’ its higher levels, without any external guidance? To what extent can we help children to learn how and when to make higher-level abstractions or to resort to self-reflection? I’ve never seen much discussion of this; instead, we assume that such developments happen spontaneously if we just expose a child to the proper kind of curriculum, that child’s mind will somehow construct appropriate systems of processes to represent those experiences. Then, when we come to recognize that some children excel at doing such things, we simply assume that those children are ‘brighter’ than the rest—instead of trying to find out what’s happening. _Marvin Minsky

Minsky seems to have come to conclusions about early childhood education which parallel some of the approaches taken in The Dangerous Child Method. Children do need to become self-directed and self-motivated. They do need to develop relative mastery over a number of skills quite early in life.

Where the professor errs is in his pragmatic and overly conventional assumption that this more optimal approach to the education of children would be neatly folded into conventional education. But anyone who is familiar with modern conventional education -- particularly government schools -- would immediately see the impossibility of this approach, in most cases.

There has never been a greater need for Dangerous Children.

Using Biofeedback to Help Train Your Dangeorus Child

It is not easy to raise a truly dangerous child. Necessary, yes, but not easy. As we learn more about brain development, we are likely to develop better tools to assist us in this difficult work.

Biofeedback is one such tool which is likely to be of great help in dangerous child training, to assist the child in learning to keep a level head.

A new game developed at Boston Children's Hospital... helps children with anger problems to control their temper, so they’ll get along better with other people.

The game, appropriately called RAGE Control, requires the young player to shoot at enemy spaceships while sparing friendly ones. The child’s heart rate is monitored and displayed on the screen, via a sensor attached to one of their fingers. As long as they keep calm and their heart rate stays below a certain threshold, they can keep blasting at the spaceships. If they lose control and their heart rate goes too high, however, they lose the ability to shoot – the only way to regain that ability is to calm back down and lower their heart rate. _Gizmag

Dangerous children are taught a broad range of skills -- including several skills which could be hazardous to the health of the child and those around him, if they are misused. Emotional control is one critical skill which, if mastered, will help to make the mastery of other dangerous skills much safer.

The biofeedback method used in the Boston Children's Hospital game is quite primitive. Heart rate is a couple of levels removed from actual brain function -- which is what we are truly concerned with. A better approach would be to use neurofeedback, which will allow for more precise monitoring and response over a wide range of emotions.

The concept of developmental windows is crucial in the training of emotional control and executive functions. This type of training is best done between the ages of 4 years and 7 years.

Emotional resiliency and emotional mastery are skills which should become intuitive before the child reaches puberty. If the parents neglect this training, they are in for some turbulent years ahead.

Remediation is possible if developmental windows are missed. But only to a limited degree. If you want to save yourselves worlds of trouble in the training of your dangerous children, you will want to act in a timely and well sequenced manner.

Adolescent Psychiatry

Skills Training and the Brain

Training a child to be broadly competent is useful for the child's confidence and later ability to solve novel problems. But what about more intense training for a deeper mastery? We have learned that it requires at least 10,000 hours of training to master a skill. Sometimes skills mastery requires between 10 to 20 years of intense, wisely directed practise.

Are there precautions we should take to protect the child from overdoing it?

Learning a new skill involves rewiring of the brain, a phenomenon called neural plasticity, the paper notes. For the new skill to persist, those brain changes must be stabilised or consolidated by being transferred from short-term memory and locked into long-term memory.

“If the information and/or neural changes are not adequately consolidated, then learning will be temporary or not occur at all,” the researchers say. Other research has found that lack of sleep, for example, can interfere with the consolidation process, as can trying to train for a second skill before the first one has properly sunk in.

“Many studies have shown that you don’t learn if you don’t sleep after a day of training,” says Dr Pearson. “Likewise, overtraining can reduce learning if you don’t allow time for consolidation.”

The researchers were specifically interested in the role played in learning by “waking consolidation” – that is, taking breaks during the training process. They recruited 31 students to learn a difficult computer task - tracking groups of moving dots disguised amid visual distractions on the screen. The subjects were divided into three groups, each of which was asked to learn the task in different ways.

On the first day, a control group spent one hour training and an overtraining group spent two hours non-stop at the task. A third group also trained for two hours, but with a one-hour break between sessions with subjects choosing their own activities – except sleep.

On the second day, it was found that the control group had mastered the task better than the overtraining group, despite training for only half the time. Likewise the waking consolidation group had also learnt better than the overtrainers, even though the two groups had spent the same total time training. _MedXpress

Study abstract Proceedings of the Royal Society Biological Sciences

The findings of the above study should be seen as suggestive rather than definitive. A few days of training on a computer task is not the same as a decade of training in a complex skill the comprises an untold number of sub-tasks which must be learned and integrated together.

But there are dangers in "overtraining." A fascinating neurological disorder known as focal dystonia can affect musicians who train beyond their brain's ability to integrate the training. In such cases, the brain can actually lose the ability to control fine motor movements of the fingers and hands. As one might imagine, this can be immensely frustrating and distressing to the budding young prodigy.

All of this suggests that regular rest periods, and a regular sleep schedule, should be integrated into all serious training regimens. But beyond that common sense advice, it also suggests that coaches, parents, and trainers need to be on the lookout for the analogs of "focal dystonia" in other areas of intense training.

Hard training is necessary for mastery of difficult skills, but so is smart training. Some children may opt for a course of training for reasons other than a genuine suitability and drive. Coaches need to detect when a child is not ready for intense training, or if the child's interest in the training is only superficial.

Besides the real physical and emotional risks of intense training, there is also the risk that a child may be sacrificing other potential avenues of competency or mastery which would be far more rewarding to the child.

That being said, one cannot overstate the inspirational impact of a true master. If the area of mastery is well chosen for the child, and if the regimen of training is wise and measured, the end result can be a lifetime of excellence and satisfaction.

Needless to say, the modern rush to universal psychological neoteny and lifelong incompetence -- as embodied in modern educational systems and child-raising methods -- leads to the opposite of inspiration or satisfaction.

Steps to Personal Development and Autonomy

Here is a quick look at Arthur Chickering's Seven Vectors approach to personal development in children and youth. It is a useful taking-off point for designing approaches to early life curricula for Dangerous Children.

Chickering's theory was based upon personal development during the college years, but if you want to raise a Dangerous Child, you had better not wait that long.

1. Developing competence. Three kinds of competence develop in college–intellectual competence, physical and manual skills, and interpersonal competence. Intellectual competence is skill in using one’s mind. It involves mastering content, gaining intellectual and aesthetic sophistication, and, most important, building a repertoire of skills to comprehend, analyze, and synthesize. It also entails developing new frames of reference that integrate more points of view and serve as “more adequate” structures for making sense out of our observations and experiences. Physical and manual competence can involve athletic and artistic achievement , designing and making tangible products, and gaining strength, fitness, and self-discipline. Competition and creation bring emotions to the surface since our performance and our projects are on display for others’ approval or criticism. Leisure activities can become lifelong pursuits and therefore part of identity...

Students’ overall sense of competence increases as they learn to trust their abilities, receive accurate feedback from others, and integrate their skills into a stable self-assurance.

2. Managing emotions. Whether new to college or returning after time away, few students escape anger, fear, hurt, longing, boredom, and tension. Anxiety, anger, depression, desire, guilt, and shame have the power to derail the educational process when they become excessive or overwhelming. Like unruly employees, these emotions need good management. The first task along this vector is not to eliminate them but to allow them into awareness and acknowledge them as signals, much like the oil light on the dashboard.

Development proceeds when students learn appropriate channels for releasing irritations before they explode, dealing with fears before they immobilize, and healing emotional wounds before they infect other relationships. It may be hard to accept that some amount of boredom and tension is normal, that some anxiety helps performance, and that impulse gratification must sometimes be squelched....

3. Moving through autonomy toward interdependence. A key developmental step for students is learning to function with relative self-sufficiency, to take responsibility for pursuing self-chosen goals, and to be less bound by others’ opinions. Movement requires both emotional and instrumental independence, and later recognition and acceptance of interdependence.

Emotional independence means freedom from continual and pressing needs for reassurance, affection, or approval. It begins with separation from parents and proceeds through reliance on peers, nonparental adults, and occupational or institutional reference groups. It culminates in diminishing need for such supports and increased willingness to risk loss of friends or status in order to pursue strong interests or stand on convictions....

4. Developing mature interpersonal relationships. Developing mature relationships involves (1) tolerance and appreciation of differences (2) capacity for intimacy. Tolerance can be seen in both an intercultural and an interpersonal context. At its heart is the ability to respond to people in their own right rather than as stereotypes or transference objects calling for particular conventions. Respecting differences in close friends can generalize to acquaintances from other continents and cultures. Awareness, breadth of experience, openness, curiosity, and objectivity help students refine first impressions, reduce bias and ethnocentrism, increase empathy an altruism, and enjoy diversity....

5. Establishing identity. Identity formation depends in part on the other vectors already mentioned: competence, emotional maturity, autonomy, and positive relationships. Developing identity is like assembling a jigsaw puzzle, remodeling a house, or seeking one’s “human rhythms,” a term that Murphy (1958) illustrated by photic driving. A person watching an instrument that emits flashes at precise intervals eventually hits a breaking point–the point at which the rhythm induces a convulsion. If, for example, the number is sixteen, the observer may rapidly lose consciousness as this number is presented in the standard time interval. Seventeen and fifteen, however ,are safe numbers. It is not until thirty-two or some other multiple of sixteen is reached that a breakdown recurs. Like the piano wire that hums or like the glass that shatters, we all have our critical frequencies in a variety of areas. Development of identity is the process of discovering with what kinds of experience, at what levels of intensity and frequency, we resonate in satisfying, in safe, or in self-destructive fashion.

Development of identity involves: (1) comfort with body and appearance, (2) comfort with gender and sexual orientation, (3) sense of self in a social, historical, and cultural context, (4) clarification of self-concept through roles and life-style , (5) sense of self in response to feedback from valued others, (6) self-acceptance and self-esteem, an d (7) personal stability and integration. A solid sense of self emerges, and it becomes more apparent that there is an I who coordinates the facets of personality, who “owns” the house of self and is comfortable in all of its rooms....

6. Developing purpose. Many college students are all dressed up and do not know where they want to go. They have energy but no destination. While they may have clarified who they are and where they came from, they have only the vaguest notion of who they want to be. For large numbers of college students, the purpose of college is to qualify them for a good job, not to help them build skills applicable in the widest variety of life experiences; it is to ensure a comfortable life-style, not to broaden their knowledge base, find a philosophy of life, or become a lifelong learner.

Developing purpose entails an increasing ability to be intentional, to assess interests and options, to clarify goals, to make plans, and to persist despite obstacles. It requires formulating plans for action and a set of priorities that integrate three major elements: (1) vocational plans and aspirations, (2) personal interests, and (3) interpersonal and family commitments. It also involves a growing ability to unify one’s many different goals within the scope of a larger, more meaningful purpose, and to exercise intentionality on a daily basis....

7. Developing Integrity. Developing integrity is closely related to establishing identity and clarifying purposes. Our core values and beliefs provide the foundation for interpreting experience, guiding behavior, and maintaining self-respect. Developing integrity involves three sequential but overlapping stages: (1) humanizing values-shifting away from automatic application of uncompromising beliefs and using principled thinking in balancing one’s own self-interest with the interests of one’s fellow human beings, (2) personalizing values-consciously affirming core values and beliefs while respecting other points of view, and (3) developing congruence-matching personal values with socially responsible behavior. _Chickering's Seven Vectors

The ideas have to be adjusted as appropriate for different ages and stages of development, of course.

One of the most important strengths adolescents should develop -- as part of developing identity, purpose, and integrity -- is to build a healthy resistance to propaganda and ideology.

In modern life, schoolchildren are immersed in propaganda and ideology -- as is anyone who is in contact with popular or news media. If one cannot separate his own identity, goals, and purpose from the prevalent propaganda and ideology in which he happens to be immersed, he cannot develop an autonomous self.

What are some differences between ideology and philosophy?

1.Philosophy refers to a pragmatic approach of looking and analyzing life. Ideology refers to a set of beliefs and rules belonging to a particular group or set of people
2.Philosophy aims at understand the world as it exists whereas ideology is born out of a vision for the future and aims at changing the current state to that particular vision
3.Philosophy is objective whereas ideology is dogmatic and refuses to participate in any discussion that does not agree with that ideology
4.Philosophy does not have as much impact as an ideology would have on the world ‘“ for ideology aims at spreading the beliefs and imposing them on the rest of the society irrespective of its relevance
5.All ideologies have some underlying philosophy but it is not vice versa. _Difference Between

A broader look at differences between ideology and philosophy
(Note: The link above goes to a chapter in an online book on philosophy. The link to this chapter is not an unconditional endorsement of the entire online book. But several of the book's chapters are useful as general introductions to various topics in philosophy.)

PDF slideshow looking at different modern political ideologies

Dangerous children will learn to avoid propaganda and ideology, as a general rule. But they need to be exposed to the phenomena in order to recognise and become relatively impervious to them.

The above is in the way of background information, to prepare the way for a discussion of an important societal transition which is underway. This transition will serve as the springboard for a more important transition -- of which The Dangerous Child movement is but a part.

Dangerous Child: Critical and Sensitive Periods of Plasticity

The term "neural plasticity" means the ability of the brain to reshape itself. Critical periods of brain plasticity are times when particular circuits and intercircuits of the brain are particularly prepared for experiences which will assist the genetically encoded development of those circuits.

The brain tends to develop from posterior to anterior. From the occipital lobe in infancy to the prefrontal lobes in late adolescence and early adulthood, brain circuits mature and myelinate according to a particular sequence which is genetically encoded -- but can be altered somewhat by experience.

If a newborn's eyelids are sewn shut so that he cannot see from the time of birth, his occipital lobes will eventually be used for other types of processing rather than seeing. If only one eye is unable to see, the other eye's visual input will move into the brain territory which would have been used for the "dark eye's" input.

More about what is known scientifically about critical periods, with an emphasis on the visual system:

From polyglots to virtuosi, human performance reflects the neural circuits that are laid down by early experience. Although learning is possible throughout life, there is no doubt that those who start younger fare better, and that plasticity is enhanced during specific windows of opportunity. An understanding of the neural basis of such CRITICAL or SENSITIVE PERIODS of brain development would inform not only classroom and educational policy, but also drug design, clinical therapy and strategies for improved learning into adulthood. Although which might be the critical periods for higher cognitive functions such as language, music or emotional control is the subject of popular debate, such sweeping questions fail to acknowledge the sequential nature of a multistage process that involves many brain regions. _Critical Periods in Local Cortical Circuits (PDF)

Critical Periods in Language Acquisition (PDF)

Much of the knowledge about critical and sensitive developmental periods of plasticity was learned from animal research. Here is an intriguing study demonstrating the restoration of critical period plasticity in the auditory cortex of rats (PDF).

The concept of "critical periods" is quite controversial. Perhaps one reason for the controversy is that many scientists do not want to consider that very young children may have special needs which are not easily met except by persons who are heavily invested in that child. Many child psychologists are women who in fact were unable to take time away from their careers to spend intense time with a child who may have been passing through several critical periods. Subconsciously, such a scientist might wish to minimise any blame to herself for pursuing her career -- even if the only person who might possibly point a finger is herself.

But careful research in animals has clearly demonstrated that animals raised in an environmentally complex -- stimulus rich -- environment, experience superior neural and brain support structure development than animals raised in a stimulus poor environment. It is not likely that the developing brains of human infants are an exception to this tendency to thrive on the richness of stimuli in the environment.

We are accustomed to hearing -- in regard to aging and memory -- "use it or lose it!" But that maxim is likely to apply in a much deeper manner to the developmental time windows in the young brain.

But there is a problem, in that very few neuroscientists, cognitive scientists, or child and adolescent developmental specialists actually understand how the mature brain works, much less how the working brain came to be the way it is through various developmental periods.

It is easily possible for an interested and intelligent parent to know far more about the natural development of the child than most "experts", through observation, careful reading, and trial and error. And if a parent wants his child to develop into a "dangerous child," the parent will need to work hard to understand the process -- preferably before the child reaches each critical period.

It may seem a bit unprofessional to think of a child's developing brain in these terms, but in many ways a child's developing brain is much like a fine gourmet dish, or a carefully prepared perfume. The sequence of assembly is crucial, as is the skillful touch applied to each step, each finely textured layer.

Of course, the developing brain is undergoing many active processes simultaneously, and is not a passive recipient of "the master's touch." Brains are capable of turning out rather well in spite of what seem like a large number of stupid mistakes on the part of caregivers, parents, teachers, and society. But that is no excuse for being sloppy or negligent.

We will look at critical periods more, and at the related concept of "rites of passage."

12 Formative Years in a Child's Life

Lotte Time Lapse: Birth to 12 years in 2 min. 45. from Frans Hofmeester on Vimeo.

Video Source Whether a child grows to be a dangerous child or just a ditzy party girl (or worse) depends largely upon the choices to which she is exposed during her formative years. Very few children will lie dormant all those years. Give them the opportunities to learn about the world and their unique interests in the world, and set them up to run with the knowledge and skills they will acquire.

The brain is a hungry hunter. The growing, developing brain is a particularly hungry hunter which is capable of feeding upon a wide range of conceptual fodder. The mind grows up to resemble the things it ingests, digests, and incorporates into the mental machinery.

12 years is plenty of time for a child to begin to become very dangerous -- in many good ways. Don't waste that time.

Foundations for Maths Must be Built Long Before School

The educational-industrial complex of the US is successful at one thing: Creating generations of psychological neotenates. The entire approach to education as taken by government schools is self-serving and self-perpetuating -- more concerned over the system itself, than for the welfare and progress of learning children.

It is wrong for parents to surrender the education of their children to corrupt bureaucratic institutions. But it is also wrong for the educational-industrial complex to pretend that it is safe for parents to abdicate this responsibility.

Let's take maths in particular. Educational researchers have decided that students must be switched onto maths, to reverse the disastrous trends in maths failure that have become so commonplace. Other educational researchers have decided that maths teachers must be better trained, in order to reverse the disastrous failures in maths education.

But the truth is that if the mental foundations for maths are not constructed long before school curricula finally get around to needing them, it is probably too late for most students. This means that parents must expose their children to the patterns and mechanisms of real world forces and events, rather than leaving the education of the child up to television, video games, teachers, peers, and popular culture.

Mathematics is not about numbers, primarily. Mathematics is about patterns -- both static and dynamic, and sometimes chaotic. Number sense should be developed early, utilising game forms. But number sense is just a preliminary foundation for pattern sense, and relational sense. Learning these more complex forms of maths foundational skills requires exposure, which is not likely to occur accidentally.

The most optimal ways of learning these foundational conceptual skills have not been devised yet. Educational researchers are decades away from even understanding the need for them. Researchers into neurodevelopment and developmental psychology are likewise too often barking up the wrong tree, following the leads of the organisations which supply research grants.

It looks as if the rest of us have a lot of work to do to compensate for the incompetence and distractedness of "the experts."

Human Babies Born with Intuitive Sense of Numbers

Humans have an intuitive sense of number that allows them, for example, to readily identify which of two containers has more objects without counting. This ability is present at birth, and gradually improves throughout childhood

_ScienceDaily

Johns Hopkins scientists have tested the Approximate Number Sense (ANS) in human pre-schoolers, then compared their ANS scores with later standard tests of math ability administered in school at age 6. They discovered a high correlation between the ANS score in preschool and the later math ability scores at age 6.

The Approximate Number System (ANS) is a primitive mental system of nonverbal representations that supports an intuitive sense of number in human adults, children, infants, and other animal species. The numerical approximations produced by the ANS are characteristically imprecise and, in humans, this precision gradually improves from infancy to adulthood. Throughout development, wide ranging individual differences in ANS precision are evident within age groups. These individual differences have been linked to formal mathematics outcomes, based on concurrent, retrospective, or short-term longitudinal correlations observed during the school age years. However, it remains unknown whether this approximate number sense actually serves as a foundation for these school mathematics abilities. Here we show that ANS precision measured at preschool, prior to formal instruction in mathematics, selectively predicts performance on school mathematics at 6 years of age. In contrast, ANS precision does not predict non-numerical cognitive abilities. To our knowledge, these results provide the first evidence for early ANS precision, measured before the onset of formal education, predicting later mathematical abilities.

...Further longitudinal studies are needed to evaluate whether and how mediators of the relationship between ANS skills and symbolic mathematics vary as a function of other child characteristics, and how ANS skills might predict not only math performance at a given time but also trajectories of growth in formal mathematics skills over development. _PLoS (Full paper)

The authors were unable to determine whether ANS skills could be improved through early childhood intervention. But their findings add to a growing body of knowledge demonstrating a wide range of cognitive abilities between individuals, starting from a very early age. One should note that ANS precision correlates only to later math skills, and not to language skills.

It is important for scientists and educators to determine how much of individual cognitive capacity can be improved, and how much is relatively fixed. This should be done on an individual-to-individual basis to avoid prejudgement, and to better customise and optimise the education experience for each child.

This Johns Hopkins study offers some suggestive hints as to the nature of pre-verbal and non-verbal metaphor development in young children, prior to any formal math training.