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    Cognitive Development in

    Childhood and Adolescence

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    Part 1 :

    Piagets Four Periods

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    eriods of Cognitive Development

    Sensory-Motor Period birth to 2 years oldPre-Operational Period 2 to 6/7 years

    Concrete Operational Period 6/7 to 10/11 years

    Formal Operational Period 10/11 years on

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    What is an operation ?

    Operation : a reversible mental action

    Mental action refers to thoughts, a mentalimage of a physical action

    A thought is reversible when the child canthink simultaneously about before andafter the action.

    - Non-reversible is like a video clip. WEcan pause the video before an action orafter an action, but not before and aftersimultaneously.

    - Reversibility is possible in thought, butnot in physical action.

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    Part 2 :

    Pre-Operational Period

    (2 to 6/7 years)

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    Pre-Operational Stages

    Pre-Operational Period 2 to 6/7 years

    Preconceptual Stage 2 to 4 years

    Functional Stage 4 to 5 years

    Transitional Stage 6 to 6/7 years

    Concrete Operational Period

    6/7 to 10/11 years

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    Transition from Sensory-Motor Period

    Sensory-Motor logic is logic about actions

    Understanding of relationship betweensensations and actions

    Culmination of Sensory-Motor Period isdevelopment of ability to form

    representations (called the symbolic function) Symbolic function enables child to form

    mental images of actions, moving from planeof action to plane of thought.

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    Examples of Use of theSymbolic Function

    Language

    Symbolic play (pretend) Deferred imitation

    Graphic images

    Mental symbols Figural representations : static images of

    things, events, people.

    Representations of actions : for Piaget, the

    most important use of the symbolic function.

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    Moving from Plane of Action to

    Plane of Thought

    Logic of action developed during Sensory-Motor Period doesnt translate automaticallyto the plane of thought.

    Doing something logically and thinkinglogically about doing it are not the samething. The latter requires

    to do the thing logically

    to mentally represent or imagine all thesteps logically.

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    Moving to Plane of Thought We can do things in thought that are not

    possible in the plane of action

    Make comparisons and classifications(which is taller, fatter, darker, lighter ;which are the same; which are different)

    Understand social relationships and roles(what is a mother?)

    Understand time and space Understand social rules (why not to hit

    others)

    Determine cause-effect

    Understand what changes in the world andwhat stays the same.

    These are just a few examples.

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    Pre-Conceptual Stage (2-4

    years) Primary Task : Forming pre-concepts

    Pre-concepts vs. concepts

    concept : mental representation of acategory

    Category : a set of entities with commoncharacteristics; these entities aremembers of the category

    Pre-concepts are idiosyncratic and unstable; young children change their definitionstoo frequently to constitute true concepts(according to Piaget)

    Forming pre-concepts is a matter of answering what questions.

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    Examples of the ChildsFormation of Pre-Concepts

    The Example of a Mother The example of Time and Age

    Complexity of forming concepts

    Child has to have some understanding of time in order to understand age.

    Child has to have some understanding of agein order to understand what motherhood is.

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    Function Stage (4-6 years)

    Understanding of identity

    Understanding of functions

    Limitations

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    Understanding of Functions

    Mathematical function establishes arelationship between two quantitative(numeric) variables :

    Y = 3X + 2

    If X is 1, then Y is 5. If X is 4, then Y is 14.

    Pre-Operational function establishes a

    relationship between two conceptualvariables :

    The older you get, the taller you get.

    In winter it snows, In summer, it doesnt

    The taller the glass, the more Kool-Aid in it.

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    Limitations to Pre-OperationalThinking

    Egocentricism : able to consider only oneviewpoint at a time.

    (Does your brother have a brother?)

    Transductive Reasoning : reasoning fromparticular to particular (assuming causationfrom a correlation)

    Centration : focusing on only one aspect of aproblem or situation.

    Animism : belief that inanimate objects showsigns of life.

    Artificialism : belief that natural objects werecreated by humans for human purposes.

    Realism : belief that psychological states (e.g;dreams) are real; dont understand differencebetween action and thought.

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    Three Mountains Task :

    Evidence of Egocentrism

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    Limitations to Functions

    With functions, children can onlyunderstand relationship between twodimensions at a time.

    Sometimes the childrens judgments arecorrect :

    Usually, the taller glass does have more Kool-Aid

    Many relationships involve more than twodimensions.

    In these cases, the childs judgment may

    be wrong.What about this case ?

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    The Case of the Bowl of

    Ice Cream

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    The Case of the MultiplyingSandwich

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    Part 3 :

    Concrete Operational Period

    (6/7 to 10/11 years)

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    Conservation

    Conservation : understanding thatchanging the form of a substance or

    object does not change its amount,overall volume, or mass.

    Conservation is one of many logicalabilities that children achieve in the

    Concrete Operational Period. There is more research on conservation

    than any other concrete operationalability because the conservation task veryclearly shows the logic that children areusing.

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    An Example of a ConservationTask

    Before Change Child is asked Is there thesame amount of Kool-Aid inthese two glasses or doesone have more? If the child

    says one has more,adjustments are made untilchild says that they are thesame.

    Change The Kool-Aid in one glass ispoured into another glasswith different dimensions.

    After Change Child is asked :Is there the

    same amount of Kool-Aid inthese two glasses or doesone have more? and isasked to give reason foranswer.

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    Childrens Answers onConservation Task

    Pre-Operational Functional Certaintythat one of the

    glasses has more.

    Pre-Operational Great uncertainty. MayTransitional refuse to give an answer.

    May say that youcant tell unless youpour it back. Maysay that both glasses

    now have more.

    Concrete Certainty that both glassesOperational still have the same

    amount.

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    Logic Underlying Conservation

    Answers

    re-Operational Functional : height amount

    OR Width amount

    re-Operational Functional : height amount

    AND Width amount

    oncrete Operational : height X width amount

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    Concrete Operational Logic

    Identify argument : the child sometimes usesan identity argument, reasoning that the

    amount of Kool-Aid must be the same, becausenothing was added or taken away.

    Compensation argument : one glass is taller,but the other is wider. One increase cancels

    out the other, so the two glasses still hold thesame.

    reversibility argument : the action of pouringinto the taller glasses can be negated bypouring the Kool-Aid back again.

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    Conservation of Number

    Conserved at 6 to 7 years old

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    Conservation of Substance

    Conserved at 6 to 7 years old

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    Conservation of Length

    Conserved at 7 to 8 years old

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    Conservation of Weight

    Conserved at 8 to 9 years old

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    Conservation of Volume

    Conserved at 9 to 10 years old

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    Classification

    Child asked to sort set of objects that differ inhape, color and size.

    re-Operational Child cannot sort entire sety Functional one dimension :

    re-Operational Child can sort entire set by

    ne Transitional dimension, but once done,cannot redo by anotherdimension

    Concrete Child can sort by oneOperational dimension

    And then by anotherdimension:

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    Class Inclusion

    Class Inclusion : based on comparing thesize of a class to the size of one of itssub-classes.

    Understanding that a class cannot havefewer members than one of its sub-classes contains.

    Are there more daffodils or are theremore flowers.

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    Understanding of Number

    If you had two numbers together, theresult is a number.

    Adding 0 to a number leaves thenumber unchanged.

    Multiply a number by 1 leaves thenumber unchanged.

    2 + 3 = 3 + 2 (order of operationirrelevant)

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    Understanding of Measurement

    Two steps in measurement- select a unit

    - Count the number of those units inthing being measured

    Pre-Operational children can count(the second step in measuring), butdo not understand the concept of aunit.

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    Summary of Concrete

    Operations

    Child develops range of logical abilities

    (conservation, classification, number,measurement, etc).

    They can use these logical abilities only inthinking about concrete objects.

    They conserve the length of a concrete object, they classify concrete objects,they measure concrete objects

    Inductive logic : reasoning from particular

    observations to more general conclusions(the basis of classification)

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    Part 4 : Formal Operations(10/11 years on)

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    Characteristics of FormalOperations

    Deductive logic : reasoning from ageneral rule to a particular instance.

    Abstract : capable of concepts notembodied concretely (e.g., differencebetween arithmetic and algebra)

    Hypothetical : the ability to formhypotheses ; must be able to considerwhat actually exists as one possibility of what might exist.

    Combinatorial reasoning : able to identify

    variables and then isolate and test eachvariable one at a time.

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    Effect of Attaining FormalOperations

    Imaginary Audience : Belief that othersare as concerned with us as we ourselvesare.

    Personal Fable : Because imagining what

    ifs is a new skill, adolescents imagine apersonal story, in which the world revolvesaround them. Based on feeling specialand unique. Others do not suffer as theydo.

    Adolescent Idealism : thinking abstractlyand hypothetically enables adolescents toimagine perfect and form ideals. Leads tocriticizing and fault-finding with the adult

    world. Argumentativeness : At all ages, child

    practice emerging skills. Deductivei g bl t t t