1. Introduction , Design, Everyday Life

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    Dayang Suhana Binti Haji Abang Ali08B0532

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    INTRODUCTION Definition of Mathematics.

    Examples of application of Mathematics in

    different areas and situation such asTraveling, Astronomers ,Engineers andManufacturers.

    Similarities in the examples.

    Mathematics is a tool and a language forsolving problems great and small.

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    INTRODUCTION Our presentation will not only focused on

    primary school level or mathematicscurriculum in Brunei Darussalam.

    Focused on the wide aspect ofMathematics in different aspects andsituations.

    New mathematics courses have beendeveloped that focus on nontraditionaltopics and applications of Mathematics in

    real world.

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    INTRODUCTION

    Mathematics through Art and Design

    Mathematics in Everyday Life

    Mathematics in Medicine

    Mathematics in Sports

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    INTRODUCTION

    Mathematics in Cooking

    Mathematics in Psychology

    Mathematics in Architecture

    Mathematics in Nature

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    MATHEMATICS THROUGHART & DESIGN

    W W Sawyer defined Mathematics as :The classification and study of all possible

    patterns and relationships. Pattern is

    anything the mind can recognize as aregularity.

    Mathematical patterns or relationships in a

    colourful and artistic way adds to a childunderstanding and appreciation of them.

    Symmetry is a dominant characteristics of

    both of the natural and manmade world.

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    MATHEMATICS THROUGHART & DESIGN

    By linking Mathematics to other subjectssuch as Arts and Science, children can findpleasure in working with shapes, and work of

    this kind can encourage the development ofpositive attitudes towards Mathematics inthose who are finding difficulty with numberwork.

    Draw attention between functional andaesthetic aspects.

    Examples of Arts & Design In Mathematics.

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    MATHEMATICS THROUGHART & DESIGN

    PatternsPatterns abound in everyday life. Pattern is afundamental concept in both Mathematics andArt.

    The inclusion of patterns in schools encouragestudents to develop habits of looking for andusing Mathematics.

    Patterns takes many form in both natural anddesigned situations.

    Leaves and trees are recognized by patterns.

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    MATHEMATICS THROUGHART & DESIGN

    Although the greatest bulk ofIslamic patterns are built onhexagonal structures, the octagonalstructure is the basis of the mostsophisticated, complex and beautifulIslamic patterns.

    The two highlighted shapes in the

    center are the most prominent andinstantly recognizable shapes inIslamic Geometrical Art and can beseen in abundance throughout theIslamic World.

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    MATHEMATICS THROUGHART & DESIGN

    Islamic PatternsThe use of geometric design in mosque,Arabic architecture and artifacts has

    great religious significance. It is a form ofsacred geometry.

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    MATHEMATICS THROUGHART & DESIGN

    It involves with axes of symmetry, andfrom there, we can build up a symmetricalpattern, using the intersections of gridlines and axes of symmetry.

    Shapes such as Polygon that occur within

    the design are part of Mathematicscontent.

    Children can construct their own design by

    using reflection, rotation and translation.

    WHERES THE MATH

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    MATHEMATICS THROUGHART & DESIGN

    At the most practical level, mathematicstools have been used to create beautifuldesigns realized in the architecture and

    decoration of palaces and mosques. Isometries, similarities, and

    transformations can transform images

    exactly or with purposeful distortion,projections can represent three-dimensional forms on two-dimensionalpicture surfaces, even curved ones.

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    MATHEMATICS THROUGHART & DESIGN

    Special transformations can distort orunscramble a distorted image, producinganamorphic art.

    Compasses, rulers, grids and mechanicaldevices are physical tools for the creationof art, but without the power of

    mathematical relationships and processesthese tools would have little creativepower.

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    MATHEMATICS THROUGHART & DESIGN

    Through the study of patterns, childrencan learn to see relationships and makeconnections, generalizations, and

    predictions about the world around them.

    Working with patterns empowers childrento solve problems confidently and relate

    new situations to previous experiences.

    Children should deal with both repeatingpatterns and patterns that can reflect,

    rotate and translate.

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    MATHEMATICS THROUGHART & DESIGN

    Chinese TangramThe Tangram puzzlewas invented in Chinaover 4000 yearsago.

    The puzzle requiresthe seven pieces to

    be used to create anarrangement as allseven pieces must beused and no pieces

    should be overlap.

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    MATHEMATICS THROUGHART & DESIGN

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    MATHEMATICS THROUGHART & DESIGN

    Learn the names of all the polygonal pieces

    of Tangram namely square, parallelogram,quadrilateral, polygon and triangle.

    Chinese Tangrams provide an excellent

    source of investigational material which canbe linked with several mathematical topicssuch as symmetry, angles, fractions andareas.

    WHERES THE MATH

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    MATHEMATICS THROUGHEVERYDAY LIFE

    Cooking & Eating Food

    Theres a range of Mathematics you can doduring these times, involving activities suchas measurement, finding fractions, dividingand comparing.

    Food comes in pieces and division involvingcounting and distributing things into fairshapes.

    WHERES THE MATH

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    MATHEMATICS THROUGHEVERYDAY LIFE

    Both kinds of division are mathematicallyimportant, and both can lead into thinkingabout fraction.

    After eating, the leftover food will needto be fit in different sized containers, andthis intuition is built on an understanding

    of conservation of volume.

    Figuring out which containers to use forleftovers is a natural way to help children

    to develop these skills.

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    MATHEMATICS INEVERYDAY LIFE

    Where are we now?When will we get there?

    Whether youre travelingcross country or arestuck in a traffic jamon the way to school,

    traveling presentsstraightforward andready-made opportunitiesfor doing Mathematics.

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    MATHEMATICS INEVERYDAY LIFE

    When traveling, questions about when youllget there are actually questions about time,distance, and space.

    All of these are critical mathematicsconcepts.

    When traveling, calculating, comparingdistances and how long it takes to coverdistances at given speeds are part of

    mathematics.

    WHERES THE MATH

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    MATHEMATICS INEVERYDAY LIFE

    Traveling also gives opportunities to makesense of directions, maps and spatialrelationships.

    Traveling also involves with units ofmeasure like block, kilometer, and mile.

    These types of units are used to figureout distances which involve withmathematical concepts.

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    MATHEMATICS INEVERYDAY LIFE

    Decision-Making

    In decision making whether to continue to

    invest money in a companies or to staywith the swimming club , graphs and otherrepresentation are more likely to use todescribe changes over time and relate thestory they want to tell.

    It is the shape of the graph its bumps,slopes, drops and level spots that conveythe story.

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    MATHEMATICS INEVERYDAY LIFE

    The Mathematical focus is on thinkingabout and representing change over time.

    Much of higher mathematics is aboutdescribing the current state of something,as well as how gradually or suddenlysomething is changing.

    This can be done by constructing graphs.

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    MATHEMATICS INEVERYDAY LIFE

    Absolute greatest +

    In between

    Terrible -

    How I Feel about Piano Lessons

    January February March

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    MATHEMATICS INEVERYDAY LIFE

    Make a line that tells the story of howhe/she felt about the issue from thestarting point until now.

    The better he/she felt, the higher the lineshould go. The more negative he/she felt,

    the lower the lines go.

    This type of line graph tell the story byitself.

    WHERES THE MATH

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    MATHEMATICS INEVERYDAY LIFE

    Questions like this help:

    Did you notice a gradual increase in your

    interest, or was it pretty sudden? Howcould you show that on the graph?