Values in Mathematics

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    Values in

    Mathematics

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    Mathematical values are associated with

    the nature of mathematical knowledge

    itself, and are derived from the way

    mathematicians of different cultureshave developed the discipline of

    mathematics.

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    Six Kinds of Values to be Investigated

    Bishop (1996) has identified three kinds

    of values to be considered in the

    mathematics classroom:

    the general educational,

    the mathematical,and the specifically mathematics

    educational.

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    General Educational

    General educational values are qualities

    which teachers, schools and/or the

    society/culture aim to inculcate in their

    pupils, but which are not mathematical

    in nature.

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    In Bishops opinion,

    values in mathematics education are the

    deep affective qualities which education

    fosters through the school subject of

    mathematics.

    They appear to survive longer in

    peoples memories than does

    conceptual and procedural knowledge,which unless it is regularly used tends to

    fade. (Bishop, 1999, p. 2)

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    Based on White's (1959) ideological,

    sentimental and sociological components

    of culture, Bishop (1988, chap. 3)

    classified values of mathematical culture.

    He identified three corresponding,

    complementary pairs of mathematical

    values, namely, rationalism/objectism,

    control/progress, and openness/mystery.

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    Social Values In Mathematics

    Mathematics helps in the proper organisation and

    maintenance of a fruitful social structure.

    It plays an important role in the proper setting up of social

    institutions such as banks, co-operatives, railways, postoffices, insurance companies, industries, transports,

    navigation and so on.

    Effective business transactions, exports and imports, trade

    and commerce and communication cannot take placewithout Mathematics.

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    Aesthetic Values In Mathematics

    Mathematics enriches with its aesthetic appeal.Moving considerably beyond the mere amusement found in

    games, the elegance and gracefulness of Mathematical

    relationships touches our emotions, much like music and art

    can reach inside the psyche and make us feel truly alive(Clawson2004).

    When we go through the biographies of great

    Mathematicians, we see that almost all of them were

    attracted to this divine discipline, by realising its beauty.

    They were not studying Mathematics, but worshipping it.The fineness, the harmony, the symmetry everything adds its

    beauty.

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    Values in the mathematics

    classroom The norms and practices of doing school

    mathematics as advocated by

    mathematics teachers, textbooks and toa lesser degree, perhaps, the school

    ethos, reflect values which are both

    mathematical and educational.

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    Examples of such values would includeencouraging pupils to display in detail

    their problem-solving workings, to

    double-check answers for accuracy, and

    to work through mathematics practicequestions efficiently.

    Pupils need to responsible with the

    answer that find. Teacher needs to instill the value of

    curiosity in students.

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    Pupils need to be patient in the progress of

    finding solution in a problem solving. Honest with the solution that found.

    Fostering children s problem solving, problem

    posing, and Mathematical thinking.

    Fostering Students Metacognitive Processes

    and Higher Order Thinking Skills.Campione et

    al. (1989) claimed that attention to

    metacognitive aspects of learning can play acentral role in improving instructional

    programs and methods of assessment.

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    Thank You