The Starting Point is Where
You are.
The 8th key to learning.
What is key in learning? This is the eighth of a
number of keys that are meant to bring understanding about what
learning is and how leaning can be improved by understanding the
message of those keys. This key is about the importance of what is
already known in both stating to learn and how to teach. This key sets
out how how to take into account what has all ready been learned before
starting to either teach or learn.
"Things turn out best for the people who
make the best out of the way things turn out." Art
Linkletter
Attaching knew knowledge.
Each individual person is different not only
because of what potential he was born with, but also because of what he
has learned so far. We must try to get some idea of where each person
is, if we are to facilitate his continuing learning. Many children get
completely lost at school because nobody ever bothered to find out
where they were in their learning.
Abraham
Maslow had the following to say about building knowledge on
known knowledge:
"In the first place, unlike the current model of teacher as lecturer,
conditioner, reinforcer the Taoist helper or teacher is receptive
rather than intrusive. I was told once that in the world of boxers, a
youngster who feels himself to be good and who wants to be a boxer will
go to a gym, look up one of the managers, and say, 'I'd like to be a
pro, and I'd like to be in your stable. I'd like you to manage me.' In
this world what is then done characteristically is to try him out. The
good manager will select one of his professionals and say 'Take him on
in the ring. Stretch him. Strain him. Lets see what he can do. Just let
him show his very best. Draw him out.' If it turns out that boxer has
promise, if he's is a 'natural', then what the good manager does is to
take that boy and train him to be, if this is Joe Dokes, a better Joe
Dokes. That is, he takes his style as given and builds upon that. He
does not start all over again and say, 'Forget all you have learned and
do it this new way,' which is like saying 'Forget what kind of body you
have,' or 'Forget what you are good for.' He takes him and builds upon
his own talents and builds him up into the very best Joe Dokes-type
boxer that he possibly can."
Clearly, if anyone wants to to find out what
children have learned, or perhaps more to the point what their
individual interests are and what knowledge bases they have developed
in these interests so far, what is required of facilitators (teachers)
is to spend a lot of time with each individual student discussing their
interests. An important part of this is getting to know each student,
finding out what is motivating each student, what interests each
student, what could interest each student, and the extent of each
knowledge base.
The
cost for teachers.
Teachers, (facilitators) always complain (and
rightly so) that they are already hugely overworked and that the things
the reformers are asking them to do, and pay attention to, are just
adding to their burden, and that asking them to do a one on one with
all their students is just asking them to take a journey into madness
and total exhaustion. Even if they believe, that the things the
reformers would like them to do might indeed be wonderful in promoting
learning, they see it as an impossible task, a straw to break the
camel's back. They are over worked I admit, but this is because they
are being asked to present a large amount of information in a way that
makes it memorable, and then assess the work of students in minute and
intricate detail. In short they are being asked to do the impossible
already. How can we ask them to do more?
If real ideas about learning are to become part,
or more hopefully, all of the teacher's function, we can not ask them
to present so much material to be absorbed. Nor can we expect them to
test students to see how much they have absorbed. Many scholars and
most of the people who's ideas are being presented here believe, and
can produce evidence to the effect that, testing and structured
measured out doses of knowledge have little to do with real learning.
Indeed they believe that teacher presentation of knowledge and most
testing can, and should, be done away with. If these arduous tasks are
removed from what teachers are required to do, teachers will surely
have the time, and can learn the skills, necessary to facilitate real
learning.
What might be done to help.
Before getting deeper into the the motivation of
interest let us look at a simple example of helping a child in
understanding math. John Holt in his book "How Children Fail" provides
many examples of this and what follows is just one example.
"Dorothy was
working with me the other day. I have been trying to get to the bottom
of her misunderstanding of numbers, so that I might find some ground to
start building on. I think we may have touched bottom, but it was a
long way down.
On the table I made 2 rows of white rods, 5 in
each row. As I made them I said, 'Here are two rows, same number of
rods in each row. She agreed. I asked how many rods I had used to make
these 2 rows. She said 10. I wrote 10 on a piece of paper beside us and
put a check beside it. Then I made 2 rows of 7. She agreed that the
rows were equal, and told me when I asked, that I had used 14 rods to
make them. She had to count them of course. I wrote 14 and put a check
beside it.
Then I said, 'Now you make some.' She pushed my
rows back into the pile, and then brought out some rods to make 2 rows
of 6. I asked how may she had used, and she counted up to 12. I wrote
this down and put a check beside it. Then I asked her to see if she
could make 2 rows with the same number in each row and no rods left
over, using 11 rods. She pushed her 10 rods back into the pile, then
counted out 11 rods from the pile and tried to make them into 2 equal
rows. After a while she said, 'It won't work.' I agreed that it
wouldn't, wrote down 11, and put a big X beside it."
There follows a long passage where John Holt
continues to work with Dorothy while she gradually begins to have
insights about numbers. By the end of the session she was able to see
the patterns involved and the session ended as follows.
"In the 4-row
problem we began with 8 rods. She used the rods to tell me that 9, 10
and 11 would not work, and that 12 would. Without the rods she told me
that 13, 14, and 15 would not work, and that 16 would; from there she
began counting by fours - 20, 24, 28, 32, etc. In the 5-row problem we
began with 10 rods, and after using the rods to get 15 she went on from
there counting by fives."
John Holt ended the story with the following
observation about Dorothy.
"The reason this
poor child has learned hardly anything in six years of school is that
no one ever began where she was; just as the reason she was able to
make such extraordinary gains in efficiency and understanding during
this session is that, beginning where she was, she was learning
genuinely on her own."
Let us examine what John Holt has done in his
interaction with Dorothy. First, it is not clear if Dorothy is
interested in mathematics or not, although it could be suspected that
she is not. What John Holt is dealing with here is mostly a matter of
Dorothy's understanding. To activate Dorothy's interest John
Holt needs to find out what Dorothy can understand about numbers. John
presents her with progressively simpler examples, till he reached an
example that the girl could understand. Once he had reached this place
of understanding, he feels he can begin to present examples in such a
way, that the girl is able to see relationships between the numbers
without them being forced upon her. Because she is able to make these
discoveries herself, it is possible that Dorothy may begin to develop
an interest in numbers for the first time. Numbers are after all
useful, and intrinsically interesting, and Dorothy has probably been
feeling a bit stupid, because the other kids would seem to understand
what she could not. John Holt's finding of this beginning place, is
essential for triggering both understanding and interest on Dorothy's
part.
What
we have learned here, is that no matter how small
an amount a child's interest and knowledge are, it is possible, if you
can find out what they know, to use that as a stating point to begin to
facilitate the development of interest and the consequent building of a
knowledge base in that subject.
Social science research on interest and
development.
K. Ann Renninger has made a study of what she
calls individual interest, which is defined as the interest that grows
and consolidates into a knowledge base for each interest. Her ideas,
and the quotes presented here are from the book "Intrinsic and
Extrinsic Motivation" edited by Harackicwicz and Sansone in the section
on individual interest. Individual interest is that which requires a
deepening of interest over time. Renninger points out that people who
have low levels of individual interest need others to help facilitate
this deepening of interest. She gives the example of people (young
prodigies) who are interested in chess. She recommends that "...they
need people with whom to play, who will enable them to continue to
develop their knowledge (people whose questions, challenges, or
modeling enable them to further organize what they do know. In turn
further enhancing its value and readying them for the next sets of
questions). They are not in a position to do this for themselves.
Individual interest, even in the most extreme example of the ability of
a prodigy, requires opportunities to identify and work on interest
specific questions."
Facilitating.
Children, and all people for that matter, need others to be aware of
where they are in their learning, so that they can facilitate linking
to it, and adding to it, in a way that enables it to grow as an
interconnected whole. While it seems like exams should provide
information for this task they usually do not, because they ask the
wrong questions. They must ask the wrong questions because the same
questions are for all students.
While
people with high individual interest are self motivated, people with
low individual interest require a sort of catalyst to get them going.
Renninger goes on to say: "...developing the the kind of
knowledge and value that leads to well-developed individual interest
needs to be facilitated by more than available texts. This requires
planful effort on the part of the teacher or an expert other. Students
need enough of a knowledge base that they can become curious and begin
generating their own questions about a given content and begin to
develop the depth of value for it that will lead to reengagement."
Value.
Renninger shows that individual interest depends on the value people
give to the various interests or knowledge that they hold. Developing
interest then is also a matter of developing a sense of value about
that interest or subject content. Renninger puts it like this: "The
valuing of knowledge can be said to drive interest development: Value
emerges in relation to the quality of understanding and the challenge
that a subject content affords. Value serves to maintain a person's
attention to interest related content, in turn leading to a deepened
understanding, to more content-specific questions, and so on. Thus the
attention of a person is schooled both by individual interest and by
the possibilities of particular contexts for extending and/or
constraining its development. These include support to grow a
particular individual interest, interaction with expert others, and
tasks that permit use of individual interest as a context."
Teachers
as catalysts.
Renninger continues: "Facilitating such knowledge development
is not a discrete task, however. It involves working to support
students, their habits, and their potential, their self perceptions,
attributions and task value. More particularly, it means working to
shift school, peer, and even family culture to provide them with
opportunities to change and enable them to self regulate. Supporting
the development of knowledge, then, catalyzes questioning about content
of less well-developed individual interest and shifts both in value -
including concomitant feelings about self-worth and possibility - and
in habits such as questioning and reflection that are requisite for
effective learning.
What
do interests consist of? In her writing Renninger refers to
individual interests by the names we typically use for subject matter
categories in English such as for example mathematics and skiing. It
should be pointed out however, that how we classify things into groups
or lumps is a completely arbitrary thing, made up by humans, so we can
sort things to places where we can find them easily. Because humans are
familiar with most of these categories or concepts we tend to build our
interests also along these lines somewhat. But that is the end of it,
'somewhat'. The fact is, for each person each individual interest is
unique.
Take
skiing for example? What does a person mean by it? Does it mean a
person coming down a mountain with two pieces of long material attached
to their feet with the front ends turned up? What a bout a person that
uses only one ski? What about a person that does not come down a
mountain at all but rather uses skis to walk or slide across country?
What about a toboggan? What about water skiing? You see skiing, as an
interest, can include all of these things or only maybe one. It can
expand and contract, because it is what we say it is. It is what we are
interested in at the time. If it is truly an individual interest it
will expand to gradually include other related categories over time.
Not
convinced? What is mathematics? Is it adding up lists of numbers? Is it
multiplying dividing and taking away? Does it include calculus?
Mathematics is used by all the other sciences. Is that still
mathematics? Can mathematics refer to objects in the real world at all?
What about algebra and geometry? Are they part of mathematics? The
thing is, we do not have to use a conventional label to describe our
interest, until we talk to others. Then the label will undoubtedly be
inaccurate, because the other person will understand it to mean
something slightly different, or maybe even a lot different.
Finding
out somebody's interest then, is not just arriving at a convenient
label, but rather, taking a look at the entire subject content absorbed
so far.
How
to facilitate a person's continued involvement with undeveloped
individual interest.
A
facilitator should first identify the following in each of their
students. Renninger continues:
-
"The nature of the students' present activity."
-
"What draws their attention."
-
"How to help them learn to use the resources they
have to develop the knowledge and ultimately the value necessary for
working with these tasks. This means figuring out what students
understand about a given subject and what they need to understand. On
the basis of this information, the teacher (parent, expert other) can
adjust instruction (information and expectations) to meet student's
strengths and needs as learners."
In
this way teachers, parents and other facilitators can prepare
challenges for each individual student that are appropriate for each
student and also attractive to each individual student. This is because
each challenge addresses an individual interest of each student.
Common
mistakes made by parents, teachers and other facilitators. By
far the most common errors made by facilitators concern their own
misperception of their charge's knowledge content and abilities. In
other words they misunderstand where their charge's are at in terms of
knowledge. There are a number of ways to do this as follows:
- They
can base their perception on old and out of date knowledge. Parents
especially tend to base their knowledge on an initial perception of
inabilities and lack of knowledge. This mistake is also often made by
teachers who conveniently drop students into boxes based on first
impressions. These boxes normally preclude the further examination of
what is really known about specific knowledge and what individual
interests and knowledge bases might consist of. These boxes beget
expectations and cause an inability to make knowledge relevant and thus
interesting.
- Facilitator's
perception can also become too narrow. Parents in particular can become
obsessed and overexcited if one of their children shows particular
promise in some subject matter. The parents and teachers of prodigies
almost cannot help but start to watch and become excited about this
subject content to the exclusion of all else. The competence and
improvement messages thus tend to accumulate around this subject and
thought of competence and improvement in other areas is ignored. Thus
although the child becomes more and more competent in this field may
start to become anxious about other areas of knowledge which eventually
lead back to being anxious about everything including the one area they
are good at. Even the way they are being pushed by parents and
teachers, in this special area, starts to make it unpleasant, as the
intrinsic pleasure they originally felt for the subject, is gradually
eaten away, by their own feelings of lack of autonomy. They begin to
feel they are only performing for their parent's praise, and not of the
intrinsic pleasure of learning.
A
wide spectrum of individual interests.
It is
clear from the research that children and adults need not only to get
feedback about their continuing improvement in specific subjects but
they need to develop a wide range of differing interests to develop
confidence, happiness, and to reduce their anxiety.
Intrinsic
motivation.
Renninger continues: "..because individual interest does not
reside solely in the task or in the person but in the possibilities for
activity with a task that are perceived by the individual, it needs to
be recognized as a specified type of intrinsic motivation that differs
from that on which intrinsic motivation has typically focused." Renninger
calls individual interest a wide-angle lens for thinking about
intrinsic motivation, a way of thinking about engaging in activity to
obtain intrinsic pleasure. When we know where a person is and what they
know already, we can provide many opportunities to engage in that
activity and activate situational and individual interest. We can:
-
Provide
elements of information that link directly with information already
existing in a subject knowledge base. This in turn will provide the
person with choices or options that they are most willing to take.
-
Stimulate
the perception of relevant problems, the generation of relevant ideas
and application of relevant strategies to solve problems. Stimulate the
relevant use of others as a resource to bounce ideas off, to receive
ideas from and to receive and improvements from. Stimulate the relevant
combining of ideas to generate further solutions to problems. All of
which will increase the perception of competence and the perception of
escalating improvement in competence over time.
-
Control
the flow of information to stimulate the asking of curiosity questions
that will improve performance and the expectation of improvement in
future performance.
-
Concentrate
on lesson structure that is likely to increase the value that each
student places on particular subject matter.
Less
well-developed individual interests that remain.
Renninger continues: "Even if a less well-developed
individual interest never becomes well-developed, teachers are in a
position to facilitate the expansion of students' sense of possibility
and to organize instruction to meet their strengths and needs. Given
that students already have contents of well developed individual
interest and that new ones develop over time, teachers can work with
students to develop their knowledge and value for other content and
they can communicate the possibility of learning it. They can provide
students with opportunities that increase levels of confidence and
competence. They can help them to work effectively with less well
developed individual interest - to evaluate accurately what a
problem/task involves, to generate ideas about problem solution and
apply strategy to meet the demand of the task."
Myelin
learning.
Neuroscience can be invaluable in helping us understand why we need to
to build our skills and knowledge on the skills and knowledge we
already have. Myelin is what surrounds the connectors of the mind, the
part of the brain called white matter. In the brain, white matter is
composed of bundles of neuron connectors called axons. These connect
various grey matter areas of the brain to each other, and carry nerve
impulses between neurons. These connecting nerve fibers or axons are
wrapped in a dense fat called myelin which prevents the electrical
impulses leaking out of those axons.
Myelin
wraps around axons in response to neurons firing and impulses traveling
along these connecting nerve fibers. The more often electrical impulses
travel along these pathways, the more myelin wraps around these axons
and the faster and more efficiently these impulses travel. These
myelinated axons in turn decide which other neurons fire by virtue of
the speed the impulses in them are traveling. This in turn depends on
the amount of myelin wrapped around the axon which in turn depends on
how often the neuron fires that that initiates an electrical impulse in
that axon. In his book "The Talent Code" Daniel Coyle puts it
like this:
"The
more we fire a particular circuit, the more myelin optimizes that
circuit, and the stronger, faster and more fluent our movements and
thoughts become. ...'What do good athletes do when they train? ...They
send precise impulses along wires that give the signal to myelinate
that wire. They end up, after all the training, with a super-duper wire
- lots of band width, high-speed T-3 line.' ...Whenever you do
something your brain sends a signal through the chains of nerve fibers
to your muscles. Each time you practice anything - sing a tune, swing a
club, read this sentence- a different highly specific circuit lights up
in your mind, sort of like a string of Christmas lights. The simplest
skill - say, a tennis backhand - involves a circuit
made up of hundreds of thousands of fibers and synapses."
Myelin
doesn't unwrap.
This is
all well and good. As the Myelin wraps around axons it sets up whole
complexes of patterns of neuron firings which in turn represent skill
sets. But there is a problem, myelin wraps, it does not unwrap. Coyle
explains it like this:
"Like
a highway-paving machine, myelination happens in one direction. Once a
skill circuit is insulated, you can't un-insulate it (except through
old age or disease). That's why habits are hard to break. The only way
to change them is to build new habits by repeating new behaviors - by
myelinating new circuits."
All
this has massive implications for learning. Clearly learning something
for which you have no previous learning would involve an immense effort
on the part of the learner. Fortunately learning does not work that
way, but rather always builds on something that was learned before. If
we try to erase habits and replace them with new ones you have to build
the new ones on something that went before. Inevitably that means
building on some neurons and axons that are already connected to the
old habit which is already a super fast optimized action. What you are
building is slow, weak and shaky and difficult to enter into. The old
habit being optimized simply interferes by taking over the moment we
lose concentration. We just find ourselves in a rut where we keep going
down the same path because it is easier to go down it.
A
house of cards.
But
habits are just the tip of the iceberg. Every operation in the brain
builds on previous information in this way. Skill sets, incorrectly
learned, are just as difficult to change. If you learn two finger
typing, you will find it all but impossible to learn ten finger typing.
In fact any skill that is incorrectly learned will be very difficult to
bypass so you can learn the skill correctly. Also concepts and thoughts
also build on what has been learned before. They too involve myelin
wrapping around axons which cannot be unwrapped. Concepts built on
concepts that are found to be incorrect must themselves be relearned,
as without the old incorrect concept they will make no sense. Learning
can therefore be made very difficult if it is accepted too readily, too
rigidly, too dogmatically or too uncritically. If you knock a support
out of a rigid cognitive structure it will collapse, but if you knock a
support out of a flexible cognitive structure it will find other
support.
Myelin
change and iteration.
Despite
all the talk about repetition and practice above we never do something
exactly the same way. The word 'practice' has, over time, lost its
original meaning and has come to mean repetition. A better word, that
makes clear what really happens when we learn, is iteration. Iteration
is not exactly repetition. It describes a process of repetition of a
task within which the action is varied in order to improve the
performance of the task.
Our
understanding of myelin, surprisingly, also leads to the conclusion
that we really only learn when when change occurs. If we perform the
same action over and over exactly the same way myelination would
increase in exactly the same way. More myelin means faster but no
change in the action sequence. No change means no learning. The action
may become more automatic and quicker but it is still the same sequence
of electric impulses from the brain and the same sequence of muscular
reactions. This, if it ever happened, would be truly repetition.
However, it probably never happens, nor would it be good if it did. It
likewise would not be good to even approach this condition anywhere but
in a situation where no further learning is required or desired.
Therefore
it seems likely, that every time we perform an action it is just a
little different to every other time. Instead of calling this practice
lets call it an iteration. Sometimes this iteration is a little better
and sometimes it is a little worse. When an iteration seems a little
better we try to perform it that way again, causing myelin to wrap
around the axons involved. When the iteration seems a little worse we
try not to perform it that way again and no myelin wraps around the
axons involved in making it worse. By varying the amount of myelin that
wraps around an axon we control the speed of the impulse traveling
through that axon and thus determine whether two or more impulses reach
a neuron at the same time or just one. In this way we can control the
pattern of the neurons firing which activate the action. In his book
Coyle explains it like this:
"...myelin
has the capacity to regulate velocity, speeding or occasionally even
slowing signals so they hit synapses at the optimal time. Timing is
vital because neurons or binary: either they fire or they don't, no
grey area. Whether they fire depends solely on whether the incoming
impulse is big enough to exceed their threshold of activation. To
explain the the implications, Fields [Dr. Douglas Fields]
had me imagine a skill circuit where two neurons have to combine
impulses to make a third high-threshold neuron fire - for say a golf
swing. But here's the catch: in order to combine properly, those two
incoming impulses must arrive at nearly exactly the same time - sort of
like two small people running at a heavy door to push it open. That
required time window turns out to be about 4 milliseconds, or about
half the time it takes a bee to flap its wings once. If the first two
signals arrive more than 4 milliseconds apart, the door stays shut, the
crucial third neuron does not fire, and the golf ball soars into the
rough. "Your brain has so many connections and possibilities that your
genes can't code the neurons to time thing so precisely,' Fields said.
'But you can build myelin to do
it.'"
Challenge.
The
importance of challenge and struggle in learning follows on from this
information on the function of myelin. Challenge is the gap between
what you know and what you don't know, combined with interest. When the
challenge is small the amount of myelin wrapping around axons is small
and when the challenge is great the amount of myelin wrapping is large.
When we are challenged, when we challenge ourselves, we put a goal in
place for ourselves. This kind of goal is based on something we have
already perceived in action in the external world, that we are trying
to imitate. We try to achieve that goal. If the challenge is difficult
to achieve, it is possible we will not succeed on our first try. If
that wasn't the case we wouldn't need to learn anything. Here's the
crux of it. The greater the challenge the greater the risk of failure,
but also the greater the possibility of making large changes in your
brain connections, and thus the greater the likelihood of making
maximum gains in learning. On the other hand performing routine tasks
requires little risk of failure, but in turn provides little change in
brain structure and so minimal gains in learning. Coyle had the
following to say:
"Struggle
is not optional - it's neurologically required: in order to get your
skill circuit to fire optimally, you must by definition fire the
circuit suboptimally; you must make mistakes and pay attention to those
mistakes; you must slowly teach your circuit. You must also keep firing
the circuit - i.e., practicing - in order to keep myelin functioning
properly. After all myelin is living tissue."
Flow.
Mihaly
Csikszentmihalyi has conducted a massive self reporting study of people
in all walks of life. He found that there is an optimum level of
challenge for every person in every learning situation. In his book
"Flow" the conclusion he arrived at is this. On the one hand if the
challenge is too great we tend to become anxious and this mitigates
against our intrinsic motivation. On the other hand if the challenge is
too little we become bored and this mitigates against our motivation.
However in between these two extremes there is a perfect place where
our ability to learn is almost exactly matched by the challenge
presented. When this happens Csikszentmihalyi predicts we go
into a special learning state he calls flow. This state has been
reported by people to be highly pleasurable and people in this state
report that they are highly intrinsically motivated.
Memory.
Thus it should not be surprising to us to
discover, that what turns out to make learning a skill memorable, is
the action's connectedness to what the learner already new, and its
connectedness within itself. Memory in learning turns out to be all
about connectedness.
Conclusion.
Our
interests are an important part of what we know. When we learn, both
what we want to know, and what we can know, depend on what we have
already learned and know. If you listen to a person speaking about a
subject that he knows very well, and about which you know very little,
not only will you not be interested, but what he is saying will sound
like mostly gibberish, with a few words you know thrown in. It is as if
he is speaking a foreign language. Every teacher experiences this. He
looks out at the sea of faces in the classroom, and most of them will
look blank or bored. Why is this? Because, not only is what he is
saying not interesting, but it makes no connection to anything in those
children's brains. It sounds to them like he is speaking another
language, which to all intents and purposes he might as well be.
A
life of long, continuous, learning.
Learning is a process of connection. The reason we know or understand
something is because it connects to a mess of other things which in
turn connect to a pile of other things and so on, ad infinitum. If we
stop connecting information to other information that information loses
its meaning, its ability to be recalled, and the special pleasure
associated with real learning. Of course, there is some pleasure in
absorbing any old information that does not connect with anything much.
But this is more like an addiction than viewing the world incrementally
more clearly, in an expanding web of knowledge, as in true learning.
This expanding joy of connecting within and connecting without is just
another way of experiencing and being motivated to learn throughout our
lives. In this way we become life long
learners.
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