ICT Integration Into Teaching

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    The Effect of Computer-based

    Mathematics on Problem Solving

    Proponent: Daisy T. Emanuel

    3rd Grade Teacher, Sadie Tillis

    Many people regard mathematics as thecrown jewel of sciences.

    Yet mathematics has historically lacked

    one of the defining trappings of science:

    laboratory equipment

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    Astronomers

    Celestron Astromaster 70az Telescope

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    Mathematicians

    Albert EinsteinArchimedes

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    Mathematicians

    Leonhard Euler Carl Friedrich Gauss

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    Mathematics

    Mathematics concerns not the physical

    landscape but an idealized, abstract world.

    For exploring that world, mathematicians

    have traditionally had only their intuition.

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    Erika Klarreich Study (2004)

    Computers are starting to give mathematics thelab instruments they have been missing.

    Computers power is enabling mathematicians

    to make quantum leaps into mathematics.Computers take only seconds to calculate and

    create beautiful graphics of three-dimensionalshapes.

    Computers can solve complex problems andcomputers can remediate students inmathematics.

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    Knowledge of Teaching with ICT

    He who can does,

    and he who understandsteaches.

    - Dr. Lee Shulman

    President Emeritus of theCarnegie Foundation for the

    Advancement of Teaching(1997-2008)

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    Knowledge of Teaching with ICT

    In the 80s, Lee Shulman introduced the

    concept of pedagogical content knowledge to

    differentiate it from content knowledge andknowledge of general pedagogy.

    Pedagogical content knowledge or popularly

    known as PCK is teachers knowledge of how a

    particular subject-matter is best taught and

    learned.

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    Pedagogical Content Knowledge

    Most important elements of its description:

    1. knowledge of interpreting the content;

    2. knowledge of the different ways of representing

    the content to the learner; and

    3. knowledge of learners potential difficulties,

    misconceptions, and prior conceptions about

    the content and related concepts.

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    Concept Map

    Set of Integers

    CountingNumbers

    (Positives)

    Opposite ofPositives

    (Negatives)

    Zero

    consists of

    less

    than

    less

    than

    r

    e

    s

    u

    lt

    w

    h

    e

    n

    2 positive

    numbers

    are added

    2 positive

    numbers

    are

    multiplied

    or divided

    2 negativenumbers

    are

    multiplied

    or divided

    a smaller

    number is

    subtracted

    from a

    larger

    number

    a negative and a

    positive numbers

    are added, the

    positive is farther

    from zero on the

    number line

    r

    e

    s

    u

    lt

    w

    h

    e

    n

    2 numbers

    with

    differentsigns are

    multiplied

    or divided

    a larger

    number issubtracted

    from a

    smaller

    number

    a negative and a

    positive numbers

    are added, the

    negative is farther

    from zero on the

    number line

    results when

    Opposites

    are added

    a number is

    taken awayfrom itself

    it is divided by

    other number

    it is multiplied

    by any number

    closed under

    Addition Subtraction Multiplication

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    Concept Map

    Set of Integers

    can be

    represented by

    Rules on

    operations are

    never learned

    using

    memorization.

    Signed

    numbers have

    no meaning or

    do not make

    sense.

    Quantitative relationship

    involving directions or

    ideas on opposites

    Number

    Line

    + and

    chips

    Tables and

    patterns

    Source of

    difficulties and

    misconceptions

    Failure to

    relate to

    whole

    numbers

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    Knowledge of Teaching with ICT

    It is not a question of whether schools should

    integrate these technologies in its curriculum.

    ICT courses have been offered as a subject inmany schools.

    Use of technology in teaching traditional

    subjects like mathematics.

    Does knowledge of technology equip teachers

    to use it to teach effectively?

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    Integrating ICT in Teaching

    Some mathematics teachers jumped to itright away, used technology in teaching.

    Some teachers are still in testing-the-water

    mode. Some, until now, are still totally in the dark,

    sticking to their old method despite theavailability of technology, oblivious to thereality in todays ICT driven world.

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    ICT driven World

    The students are the nativesand theteachers are the migrants.

    The way students learn are influencedby their experiences with many formsof technology and the way these toolsthink and do things.

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    Printing Machine

    When the pen and

    the printing press were

    invented, everybody

    thought that they willgive an end to illiteracy.

    It didnt take long for

    us to realize that it didnt

    and cant.

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    Using Computer to Teach

    It is not enough to

    know how to use

    ICT just us it was not

    enough to knowmathematics content to

    teach mathematics so

    that students learn it

    with meaning andunderstanding.

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    Technological Pedagogical

    Content Knowledge

    A teachers knowledge regarding

    technology is multifaceted and that the

    optimal mix for the classroom is a balanced

    combination of technology, pedagogy, andcontent.

    It can be used as framework for designing

    learning experiences for teachers and forplanning, analyzing and describing the

    integration of technology in teaching.

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    Technological Pedagogical

    Content Knowledge

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    References

    http://www.learningtoday.com/corporate/mat

    h-software.asp

    http://prime.isthe.com/no.index/chongo/mer

    digit/long-m42643801/prime-c.html

    http://www.tpck.org/tpck/images/tpck/b/b1/

    Tpack-contexts-small.jpg

    http://www.learningtoday.com/corporate/math-software.asphttp://www.learningtoday.com/corporate/math-software.asphttp://prime.isthe.com/no.index/chongo/merdigit/long-m42643801/prime-c.htmlhttp://prime.isthe.com/no.index/chongo/merdigit/long-m42643801/prime-c.htmlhttp://www.tpck.org/tpck/images/tpck/b/b1/Tpack-contexts-small.jpghttp://www.tpck.org/tpck/images/tpck/b/b1/Tpack-contexts-small.jpghttp://www.tpck.org/tpck/images/tpck/b/b1/Tpack-contexts-small.jpghttp://www.tpck.org/tpck/images/tpck/b/b1/Tpack-contexts-small.jpghttp://www.tpck.org/tpck/images/tpck/b/b1/Tpack-contexts-small.jpghttp://www.tpck.org/tpck/images/tpck/b/b1/Tpack-contexts-small.jpghttp://www.tpck.org/tpck/images/tpck/b/b1/Tpack-contexts-small.jpghttp://www.tpck.org/tpck/images/tpck/b/b1/Tpack-contexts-small.jpghttp://prime.isthe.com/no.index/chongo/merdigit/long-m42643801/prime-c.htmlhttp://prime.isthe.com/no.index/chongo/merdigit/long-m42643801/prime-c.htmlhttp://prime.isthe.com/no.index/chongo/merdigit/long-m42643801/prime-c.htmlhttp://prime.isthe.com/no.index/chongo/merdigit/long-m42643801/prime-c.htmlhttp://prime.isthe.com/no.index/chongo/merdigit/long-m42643801/prime-c.htmlhttp://prime.isthe.com/no.index/chongo/merdigit/long-m42643801/prime-c.htmlhttp://www.learningtoday.com/corporate/math-software.asphttp://www.learningtoday.com/corporate/math-software.asphttp://www.learningtoday.com/corporate/math-software.asphttp://www.learningtoday.com/corporate/math-software.asp