1. Introduction , Design, Everyday Life
Transcript of 1. Introduction , Design, Everyday Life
-
8/14/2019 1. Introduction , Design, Everyday Life
1/27
Dayang Suhana Binti Haji Abang Ali08B0532
-
8/14/2019 1. Introduction , Design, Everyday Life
2/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
3/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
4/27
INTRODUCTION
Mathematics through Art and Design
Mathematics in Everyday Life
Mathematics in Medicine
Mathematics in Sports
-
8/14/2019 1. Introduction , Design, Everyday Life
5/27
INTRODUCTION
Mathematics in Cooking
Mathematics in Psychology
Mathematics in Architecture
Mathematics in Nature
-
8/14/2019 1. Introduction , Design, Everyday Life
6/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
7/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
8/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
9/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
10/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
11/27
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
-
8/14/2019 1. Introduction , Design, Everyday Life
12/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
13/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
14/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
15/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
16/27
MATHEMATICS THROUGHART & DESIGN
-
8/14/2019 1. Introduction , Design, Everyday Life
17/27
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
-
8/14/2019 1. Introduction , Design, Everyday Life
18/27
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
-
8/14/2019 1. Introduction , Design, Everyday Life
19/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
20/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
21/27
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
-
8/14/2019 1. Introduction , Design, Everyday Life
22/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
23/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
24/27
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.
-
8/14/2019 1. Introduction , Design, Everyday Life
25/27
MATHEMATICS INEVERYDAY LIFE
Absolute greatest +
In between
Terrible -
How I Feel about Piano Lessons
January February March
-
8/14/2019 1. Introduction , Design, Everyday Life
26/27
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
-
8/14/2019 1. Introduction , Design, Everyday Life
27/27
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?