SlideShare a Scribd company logo
1 of 156
Dr. Farhana Shaheen
EXPLORING THE
WONDERFUL WORLD OF
MATHEMATICS
Dr. Farhana Shaheen
EXPLORING THE
WONDERFUL WORLD OF
MATHEMATICS
Mathematics: Comes from the
Greek word “Mathema” meaning
“Science, Knowledge, or
Learning”
• The study of Figures and Numbers.
• The study of Patterns of Structure, Change
and Space.
• The language of Sciences
• A Science dealing with the Logic of Quantity,
Shape and Arrangement.
• The Science that deals with Numbers,
Quantities, Shapes, Patterns, Measurement
and the concepts related to them.
Math is all about---
Math THE QUEEN OF ALL
SCIENCES
• Why is mathematics called ''the queen
of all sciences‘’?
• Math is both the science and the art of
tackling complicated challenges.
Maths is the language of the
universe
• If there is any subject that can be used to
understand the complexity and intricacy of
nature, it is Maths.
• Maths takes us to a world of perfectness
and infinitude.
• It is the world of fact and reason and that
is the only thing that matters.
MATH IS THE BUILDING
BLOCK OF ALL SCIENCES
• It is the building block for everything in
our daily lives, including mobile
devices, architecture (ancient and
modern), art, money, engineering, and
even sports,
astronomy
and what not.
11
Maths is ALL AROUND
US
• Mathematics is the science that deals
with the logic of shape, quantity and
arrangement. Math is all around us, in
everything we do.
Passion for Math?
• It is often said that math is the queen of all
sciences, but the truth is that it is also
known as a subject that complicates the
lives of many students, being the most
difficult to learn.
• The passions aroused by this science
are extreme: either you love it, or you
hate it.
The Importance of Studying
Mathematics and the Benefits it brings
to our Brain.
Some students feel like---?/?
BUT THE FACT IS…
MATH IS UNAVOIDABLE
Learning Disability
• A learning disability is a condition that
produces a gap between someone's ability
and his or her performance.
• Typical learning difficulties include
•Dyslexia,
•Dyscalculia, and
•Dysgraphia –
DYSLEXIA
• A specific learning disability in reading.
Kids with dyslexia have trouble reading
accurately and fluently. They may also
have trouble with reading comprehension,
spelling and writing.
Dyscalculia
• Resources: http://www.dyscalculia.org/
• The word "dyscalculia" means difficulty
performing math calculations.
• In other words, it just means
“Math difficulty".
• And specifically, it means
a learning disability which affects Math.
Dyscalculia is not a disease
• It’s a simple learning disability that can
be treated by just following some
simple and easy steps and giving some
extra time along with the routine of
those students.
DYSCALCULIA
• A specific learning disability in Math.
• Kids with dyscalculia may have difficulty
understanding number-related concepts or
using symbols or functions needed for
success in mathematics.
DYSGRAPHIA
• A specific learning disability in writing.
• Kids with dysgraphia may have difficulty
writing legibly and at age-appropriate
speed. Many children with dysgraphia also
struggle to put their thoughts down on
paper.
• This is sometimes called a disorder of
written expression.
Learning Math Issues:
Many students claim that there are too
many mathematics formulas to
remember. This can be a contributing
factor to students' lack of interest in
classroom mathematics.
What to do?
Strategy for memorizing
Formulae?/?/?
Try using------
Try-
• They enhance the storage and recall of
information contained in the memory.
• It can be an ACRONYM-
• e.g. VIBGYOR:
• Violet; Indigo; Blue; Green; Yellow;
Orange; Red.
PEMDAS 3/7- (2/5-8)^2
Remember FOIL Method?
(Memory devices)
• LIATE:
• Log; Inverse; Algebraic;
Trigonometric; Exponents
CHANGE THE SYSTEM
Give More Importance
Towards Applications of
Maths
• https://www.youtube.com/watch?v=sBF
cX2KWScI
Life Without Maths- is
NOTHING
39
• In shopping… In baking, cooking
40
The fact is///???
The Power of Mathematical
Visualization
• Mathematical visualization is an aspect
of geometry which allows one to
understand and explore mathematical
phenomena via visualization.
• A new, visual way to think about Math.
Visual Math
• https://www.youtube.com/watch?v=TyO
dLqHJqRY&pbjreload=10
• These animations will help you understand
the math concepts you never got in high
school
The Power of Visualization in
Mathematics
• Creating Visual representations for Math
students can open up their understanding.
• Geogebra
• Youcubed
• Desmos
The Power of Visualization in
Mathematics
• Animations
• Visual Patterns
• Graphs
• Number Lines
• Tape Diagrams
• Duda Maths
• Area Models
47
Mathmagic Land
Math and Movies
• (Animation at Pixar) – Numberphile
• https://www.youtube.com/watch?v=mX
0NB9IyYpU
•
Math in Music
• Donald Duck Donald In Mathmagic
Land
• https://www.youtube.com/watch?v=Pvc
eKeHl0Sg
• An Adventure in Color/Mathmagicland
(1961)
• https://www.youtube.com/watch?v=yLffxw
RlXcc
Music and Math
• The Genius of Beethoven –
Natalya St. Clair
• https://www.youtube.com/watch?v=zAxT0
mRGuoY
The Maths of Music
• Ratios of Frequencies of Musical Notes
• https://www.youtube.com/watch?v=rTT1X
HJKKug
Cryptography with Matrices
• This tutorial will show you how to
encode and decode messages using
matrices.
• https://www.youtube.com/watch?v=hlYAC
o8c4bc
Cryptography with Matrices
Applications of Matrix in Real
Life
• 1976 Matrix Singular Value Decomposition
Film
• https://www.youtube.com/watch?v=R9
UoFyqJca8
• https://www.youtube.com/watch?v=jzHb1
R5wWYU
The True Power of the Matrix
• (Transformations in Graphics) -
Computerphile
• https://www.youtube.com/watch?v=vQ60r
Fwh2ig
• Fibonacci Numbers in Nature
• Golden Ratios in Nature
• Fractals in Nature
Fibonacci in Nature Art
Golden Ratio In Nature
Importance of
GOLDEN RATIO
• Makkah The Miraculous Golden Ratio City
The Secret Of Kaaba
• https://www.youtube.com/watch?v=19zU
WMCJTnE
• Why is 1.618034 So Important?
• https://www.youtube.com/watch?v=keLN8
9CWZ-A
FRACTALS
• The Mandelbrot Set -
• “How to transform in my mind, Formulas
into Geometrical Shapes”
• https://www.youtube.com/watch?v=56gzV
0od6DU
FRACTALS in Mathematics
Fibonacci Sequence in Music
• https://www.youtube.com/watch?v=2pb
Earwdusc
• The Magic of Fibonacci numbers | Arthur
Benjamin
Let’s Visit the Wonderful
World of Mathematics
Mathemagician Arthur Benjamin
• Math is logical, functional and just ...
awesome. Mathemagician Arthur
Benjamin explores hidden properties of
that weird and wonderful set of
numbers, the Fibonacci series. (And
reminds you that mathematics can be
inspiring, too!)
• https://www.youtube.com/watch?v=SjS
HVDfXHQ4
Mathemagician Arthur Benjamin
• We spend so much time on learning
about Calculations- we should Not
forget about Applications-
• The MOST IMPORTANT application of
Math is LEARNING HOW TO THINK
• Mathematics is Not just solving for “x”,
it’s Also figuring out “WHY”
Math isn’t hard-It’s a
Language
• “The Laws of Nature are written in the
Language of Mathematics”
• Galileo
• https://www.youtube.com/watch?v=V6yix
yiJcos
• TEACH MATHS AS A HUMAN LANGUAGE
•
• Any
Question?
The Surprising Beauty of
Mathematics
• | Jonathan Matte |
TEDxGreensFarmsAcademy
• https://www.youtube.com/watch?v=SEiSlo
E1r-A
Real life Applications of
Trigonometry
• Trigonometry - Easy to Understand 3D
Animation
• https://www.youtube.com/watch?v=ovL
bCvq7FNA&t=185s
• https://www.youtube.com/watch?v=1ok
hBnvuuck
RECREATIONAL MATHS &
MATHEMATICAL PUZZLES
• Mathematics is not only a language of
tough equations and logic, it has a real
beauty of thinking, and Puzzles and
Recreational Mathematics is the best
way to explore the deepness of
Mathematics.
GEOGEBRA
• THE GRAPHING CALCULATOR FOR
FUNCTIONS, GEOMETRY, ALGEBRA,
CALCULUS, STATISTICS AND 3D
MATH!
• It makes a link between Geometry and
Algebra, in a unique Visual way.
GEOGEBRA
• GeoGebra is an interactive geometry,
algebra, statistics and calculus application,
intended for learning and teaching
mathematics and science from primary
school to university level.
• Discover Math with GeoGebra
• Solve equations, graph functions, create
constructions, analyze data, explore 3D
math!
• https://www.geogebra.org/
YOUCUBED
https://www.youcubed.org/
• Watch this video:
YOUCUBED- MISSION
• Our main goal is to inspire, educate and
empower teachers of Mathematics,
transforming the latest research on math
into accessible and practical forms.
• We know from research how to teach
math well and how to bring about high
levels of student engagement and
achievement but research has not
previously been made accessible to
teachers.
TAPE DIAGRAM
TAPE DIAGRAM
• A tape diagram, also known as a bar
model, is a pictorial representation of
ratios.
• In mathematics education, it is used to
solve word problems.
DUDAMATH
• http://www.dudamath.com/
• DUDAMATH is an integrated environment
for interactive exploration of mathematical
concepts and problem solving.
For Kids: Bedtime Math
• Parents know to read to their kids at night,
but what about Math?
• Our mission is simple: to make math a fun
part of kids' everyday lives, as beloved as
the bedtime story.
• https://parents.bedtimemath.org/home/
data-center#tab=account
Trigonometry - Easy to
Understand 3D animation
https://www.youtube.com/watch
?v=PF2nmCVSUEs
•
Trick for doing trigonometry
mentally!
https://www.youtube.com/watch?v=jI81WXy
FrL0
Super Hexagon for
Trigonometric Identities
• https://www.youtube.com/watch?v=T7D
1W1oD8wo
What if they spent the time on
studying- what they spend on
Chatting?
Watch this!
• https://www.khanacademy.org/partner-
content/pixar/start/introduction/v/pipeline-video
• https://www.khanacademy.org/partner-
content/pixar/environment-modeling-2/mathematics-
of-parabolas2-ver2/a/parabolas-lesson-brief
• https://www.khanacademy.org/partner-
content/pixar/environment-modeling-2/animating-
parabolas-ver2/v/overview-parabolic-arcs
• https://www.khanacademy.org/partner-
content/pixar/environment-modeling-2/animating-
parabolas-ver2/v/environment-modeling2
Let’s Visit the Wonderful
World of Mathematics
MATHIGON
• WORLD OF MATHEMATICS
• http://world.mathigon.org/
List of Free Math softwares
http://listoffreeware.com/list-of-best-
free-math-software/
Euler Math Toolbox
• Euler Math Toolbox is a free math
software for your PC. With the help of this
software you can carry out various
calculations in mathematics such as
subtraction, addition, calculus
problems, algebra, matrices, functions
and complex equations. This freeware is
very useful for math students as they can
solve nearly all types of mathematics
problems by using this freeware.
xFunc
• Xfunc is a free math software for your
computer. With the help of this freeware
you can solve math problems easily. By
using this software you can write various
types of equations in mathematics
solve them and also see their solutions.
You can utilize various functions to make
different mathematical expressions with
the help of Xfunc.
QMentat
• QMentat is a free software for practice and
learning mental mathematics. Mental
mathematics means performing mathematical
calculations in your mind. There is no need to
use calculators, pencil and pen in mental
mathematics. With the help of this freeware
you can quickly develop skills for mental
mathematics. This freeware can perform
various types of math operations such as roots,
powers, divisions, multiplication, subtraction and
addition.
TalkingMath
• TalkingMath is a free math software for your
children. With the help of this freeware your
kids can learn mathematics easily and quickly.
This freeware also supports audio mode.
TalkingMath works in 3 different modes such as
timer, standard and interactive mode.
TalkingMath lets you perform various types
of mathematical calculations such as
division, multiplication, subtraction and
addition.
JXCirrus Maths
• JXCirrus Maths is a free math software to learn
mathematics. This freeware is specially created
for small children to learn math in a exciting
and fun way. With the help of this freeware you
can easily create easy and basic exercises in
math for your children. JXCirrus Maths teaches
your children basic math operations such as
division, multiplication, subtraction and addition.
SpeQ Mathematics
• SpeQ Mathematics is a free math software for
your computer. With the help of this freeware
you can easily learn math and solve complex
problems in mathematics. It has inbuilt support
for a wide variety of variables, constants and
mathematical functions. SpeQ Mathematics also
lets you define functions and custom variables.
You can also solve problems of trigonometry by
using this freeware.
Math Editor
• Math Editor is a free math software. With the
help of this freeware you can create
mathematical equations with various symbols
such as Cyrillic, alpha, beta, Greek symbols,
square root, integrate easily and quickly. It
supports TIFF, GIF, BMP, JPEG and PNG
formats. This freeware is very useful for creating
mathematical equations on your PC.
Microsoft Mathematics
• Microsoft Mathematics is a free math software
for your computer. With the help of this freeware
math students can solve complex math
problems easily. It basically helps math students
to solve problems in algebra. Apart from that you
can also draw 3D and 2D images with the help
of this utility. The main objective of this freeware
is to teach students the basic of math, physics
and chemistry.
CompliCalc
• CompliCalc is a free mathematical software.
With the help of this freeware you can solve
complex mathematical problems easily and
quickly. This freeware also includes various
functional and algebraic calculators. CompliCalc
lets you perform a wide variety of operations
such as calculate square root, factorial, discount
and distance. To use this freeware you need to
specify the task you want to perform on the main
interface of this freeware.
DESMOS GRAPHING
CALCULATOR
• https://www.desmos.com/calculator
'Geometry' means
'Earth Measuring'.
• Initially, as with the Egyptians,
geometry originated from practical
necessity and the need to measure
land; the word 'Geometry' means 'Earth
Measuring'.
• The Babylonians were certainly skilled
geometers, and the Egyptians developed a rich
and complex mathematics based around
surveying. Both of these cultures would pass
their information on to the Greeks.
GEOGEBRA
• Geogebra is a free math software. With the help
of this freeware math teachers can teach
mathematics and math students can learn
mathematics. This freeware provides a sound
platform to math students to learn math and
solve mathematical problems of various topics
such as linear programming, complex numbers,
vectors, probability, discrete mathematics,
calculus, statistics, algebra, functions and
graphs, geometry etc.
GEOGEBRA
• http://web.geogebra.org/chromeapp/
3D Grapher is a feature-rich yet
easy-to-use graph plotting and
data visualization software suitable
for students, engineers and
everybody who needs to work with
2D and 3D graphs.
With 3D Grapher you can easily
plot the equation and table-based
graphs, zoom them, rotate, view at
any angle and even animate. You
can draw the unlimited number of
graphs in one coordinate system
to visualize and analyze the
domains of functions and their
intercepts.
GeoEnzo
• GeoEnzo is a math software specially
build for mathematics teachers. With the
help of this freeware mathematics teacher
can teach geometry to math students. This
freeware lets you easily draw various
types of geometrical shapes such as cone,
triangle, circle, cube, line and many more.
This freeware is very useful for teaching
geometry to math students.
INTRODUCING
PREALGEBRA FOR
FOUNDATION YEAR
• http://www.xyzsolve.com/PreAlgebra/in
dex.aspx
Math-Shortcut-Tricks.Com
• Square and Square Root Tricks
• Cube and Cube root Tricks
• BODMAS Rules
• Fraction Tricks
• Knowing Basic Maths
Calculator for kids
• Calculator for Kids is a basic math application
specially build for your children. With the help of
this freeware kids can learn the basic math and
carry out simple mathematical operations such
as division, subtraction, multiplication, addition
etc. Your kids can learn basic functions of math
with a simple approach by using this freeware.
Calculator for Kids is a portable application.
ATHLETICS vs
Mathletics has evolved… right into your
hands. The multi award-winning e-learning
platform is available on iPad.
Use in the classroom, at home – or
anywhere. Use online or offline - Mathletics
can be accessed ANYWHERE!
It can be a sentence-
• Like- King Harry Doesn’t Usually Drink
Chocolate Milk
MATH Mnemonics- Example
• Some People Have Curly Brown Hair
Through Proper Brushing
• Now you look yourself on the Capital
Letters
Sin x = P/H
Cos x = B/H
Tan x = P/B
• Is there any simple way to remember
the Trigonometry formulas?
• SOH-CAH-TOA
Super Hexagon for
Trigonometric Identities
• https://www.youtube.com/watch?v=T7D
1W1oD8wo
Or-It can be a poem?
Like in Statistics-
Now try For Probability?
(Memory devices)
• It can be any physical action-
Finding SLOPE of a line
• Mnemonics can be a picture-
Mnemonics-
Example: To find slopes
• For horizontal lines:
• Slope=0
• Z for zero
• For vertical lines:
• Slope is undefined
• N for No slope
To determine the concavity of a
function using second derivative
Concave upward Concave downward
Think of
some
examples …
Mathematical
Rhymes?
Use drawing as Mnemonics
Math for ID
Or graphs-
Memorizing the formula
(a+b)^n:
• Use- Pascal’s Triangle
Go for Mental Maths- It
sharpens your mind- and
saves your time
•
• Avoid using Calculator
Let’s try making Math
EeeZeee
Let’s see how fast we are in
mental Maths- ;)
• Think of a number- ???
• Double it---
• Add 6 to it
• Divide it into half
• Deduct your number-
• And- the Answer is ???
Let’s see how fast we are in
Maths symbols ;)
Mathinglish
• M
• A
• T
• H
• INGLISH
Which strategy would you use
here?
Guess the missing numbers?
Guess the missing numbers?
• 5 + 3 = 28
9 + 1 = 810
8 + 6 = 214
5 + 4 = 19
Then 7 + 3 = ??
Solve the puzzle-
• 11 x 11 = 4
• 22 x 22 = 16
• 33 x 33 = 18
• 44 x 44 = ??
CHALLENGE:
Complete the third box
Prove that 2 = 1
• Find the flaw!
•
• Any
Question?

More Related Content

Similar to Exploring the world of mathematics kust

Vedic mathematics by rishi bhargava
Vedic mathematics by rishi bhargavaVedic mathematics by rishi bhargava
Vedic mathematics by rishi bhargavaSahil Goel
 
Vedic mathematics by rishi bhargava
Vedic mathematics by rishi bhargavaVedic mathematics by rishi bhargava
Vedic mathematics by rishi bhargavaSahil Goel
 
Unit 10 mathematics week 2
Unit 10 mathematics week 2Unit 10 mathematics week 2
Unit 10 mathematics week 2HCEfareham
 
Fundamental Numeracy....................
Fundamental Numeracy....................Fundamental Numeracy....................
Fundamental Numeracy....................Rajneesh Pankaj
 
Questioning the value of mathematics: Is mathematics harmful?
Questioning the value of mathematics: Is mathematics harmful? Questioning the value of mathematics: Is mathematics harmful?
Questioning the value of mathematics: Is mathematics harmful? Paul Ernest
 
Multiple intelligences and technology tools presentation
Multiple intelligences and technology tools presentationMultiple intelligences and technology tools presentation
Multiple intelligences and technology tools presentationAriana Linger Gasiglia
 
Current issues and challenges in education
Current issues and challenges in educationCurrent issues and challenges in education
Current issues and challenges in educationthenetworkcampus
 
Seminar University of Loughborough: Using technology to support mathematics e...
Seminar University of Loughborough: Using technology to support mathematics e...Seminar University of Loughborough: Using technology to support mathematics e...
Seminar University of Loughborough: Using technology to support mathematics e...Christian Bokhove
 
Math Presentation
Math PresentationMath Presentation
Math PresentationSmart Ed
 
Mathpresentation 170503073857 (1)
Mathpresentation 170503073857 (1)Mathpresentation 170503073857 (1)
Mathpresentation 170503073857 (1)JohnReyLaureano
 
Tips and Tricks Irvine Valley College 2013
Tips and Tricks Irvine Valley College 2013Tips and Tricks Irvine Valley College 2013
Tips and Tricks Irvine Valley College 2013Fred Feldon
 
Digital Technologies in Science Education
Digital Technologies in Science EducationDigital Technologies in Science Education
Digital Technologies in Science EducationEric A Demoncheaux
 
ICT Resources For teaching and learning Mathematics
ICT Resources For teaching and learning MathematicsICT Resources For teaching and learning Mathematics
ICT Resources For teaching and learning MathematicsSharme1
 
Mathematics in our daily life
Mathematics in our daily lifeMathematics in our daily life
Mathematics in our daily lifeyashwant kondeti
 
MIP-FINAL-May-13-2023-gigi.pptx
MIP-FINAL-May-13-2023-gigi.pptxMIP-FINAL-May-13-2023-gigi.pptx
MIP-FINAL-May-13-2023-gigi.pptxBryanJuanichAnimo
 
Fighting Chaos: The Nature of Geometry
Fighting Chaos: The Nature of GeometryFighting Chaos: The Nature of Geometry
Fighting Chaos: The Nature of GeometryKim Moore
 

Similar to Exploring the world of mathematics kust (20)

Vedic mathematics by rishi bhargava
Vedic mathematics by rishi bhargavaVedic mathematics by rishi bhargava
Vedic mathematics by rishi bhargava
 
Vedic mathematics by rishi bhargava
Vedic mathematics by rishi bhargavaVedic mathematics by rishi bhargava
Vedic mathematics by rishi bhargava
 
Unit 10 mathematics week 2
Unit 10 mathematics week 2Unit 10 mathematics week 2
Unit 10 mathematics week 2
 
A Day In The Life v4.01
A Day In The Life v4.01A Day In The Life v4.01
A Day In The Life v4.01
 
Fundamental Numeracy....................
Fundamental Numeracy....................Fundamental Numeracy....................
Fundamental Numeracy....................
 
Questioning the value of mathematics: Is mathematics harmful?
Questioning the value of mathematics: Is mathematics harmful? Questioning the value of mathematics: Is mathematics harmful?
Questioning the value of mathematics: Is mathematics harmful?
 
Multiple intelligences and technology tools presentation
Multiple intelligences and technology tools presentationMultiple intelligences and technology tools presentation
Multiple intelligences and technology tools presentation
 
Current issues and challenges in education
Current issues and challenges in educationCurrent issues and challenges in education
Current issues and challenges in education
 
Seminar University of Loughborough: Using technology to support mathematics e...
Seminar University of Loughborough: Using technology to support mathematics e...Seminar University of Loughborough: Using technology to support mathematics e...
Seminar University of Loughborough: Using technology to support mathematics e...
 
CURRICULUM SHARING .pdf
CURRICULUM SHARING .pdfCURRICULUM SHARING .pdf
CURRICULUM SHARING .pdf
 
Math Presentation
Math PresentationMath Presentation
Math Presentation
 
Mathpresentation 170503073857 (1)
Mathpresentation 170503073857 (1)Mathpresentation 170503073857 (1)
Mathpresentation 170503073857 (1)
 
Tips and Tricks Irvine Valley College 2013
Tips and Tricks Irvine Valley College 2013Tips and Tricks Irvine Valley College 2013
Tips and Tricks Irvine Valley College 2013
 
Digital Technologies in Science Education
Digital Technologies in Science EducationDigital Technologies in Science Education
Digital Technologies in Science Education
 
Maths for Biology
Maths for BiologyMaths for Biology
Maths for Biology
 
Merritt - May 18th
Merritt - May 18thMerritt - May 18th
Merritt - May 18th
 
ICT Resources For teaching and learning Mathematics
ICT Resources For teaching and learning MathematicsICT Resources For teaching and learning Mathematics
ICT Resources For teaching and learning Mathematics
 
Mathematics in our daily life
Mathematics in our daily lifeMathematics in our daily life
Mathematics in our daily life
 
MIP-FINAL-May-13-2023-gigi.pptx
MIP-FINAL-May-13-2023-gigi.pptxMIP-FINAL-May-13-2023-gigi.pptx
MIP-FINAL-May-13-2023-gigi.pptx
 
Fighting Chaos: The Nature of Geometry
Fighting Chaos: The Nature of GeometryFighting Chaos: The Nature of Geometry
Fighting Chaos: The Nature of Geometry
 

More from Farhana Shaheen

INTRODUCTION TO PROBABILITY.pptx
INTRODUCTION TO   PROBABILITY.pptxINTRODUCTION TO   PROBABILITY.pptx
INTRODUCTION TO PROBABILITY.pptxFarhana Shaheen
 
Quadratic Functions.pptx
Quadratic Functions.pptxQuadratic Functions.pptx
Quadratic Functions.pptxFarhana Shaheen
 
All About Functions- For a Layman.pptx
All About Functions- For a Layman.pptxAll About Functions- For a Layman.pptx
All About Functions- For a Layman.pptxFarhana Shaheen
 
Geometrical transformation reflections
Geometrical transformation reflectionsGeometrical transformation reflections
Geometrical transformation reflectionsFarhana Shaheen
 
Geometrical transformation
Geometrical transformationGeometrical transformation
Geometrical transformationFarhana Shaheen
 
Polygons i-triangles-dfs
Polygons i-triangles-dfsPolygons i-triangles-dfs
Polygons i-triangles-dfsFarhana Shaheen
 
One to one and onto lt 1.9 dfs
One to one and onto lt 1.9 dfsOne to one and onto lt 1.9 dfs
One to one and onto lt 1.9 dfsFarhana Shaheen
 
Matrix of linear transformation 1.9-dfs
Matrix of linear transformation 1.9-dfsMatrix of linear transformation 1.9-dfs
Matrix of linear transformation 1.9-dfsFarhana Shaheen
 
A Journey to Pakistan - Dr. Farhana Shaheen
A Journey to  Pakistan - Dr. Farhana ShaheenA Journey to  Pakistan - Dr. Farhana Shaheen
A Journey to Pakistan - Dr. Farhana ShaheenFarhana Shaheen
 
3.1.2 Linear Equations in one Variable dfs
3.1.2 Linear Equations in one Variable dfs3.1.2 Linear Equations in one Variable dfs
3.1.2 Linear Equations in one Variable dfsFarhana Shaheen
 
Fractions Dr. Farhana Shaheen
Fractions Dr. Farhana ShaheenFractions Dr. Farhana Shaheen
Fractions Dr. Farhana ShaheenFarhana Shaheen
 
1.2 subsets of integers dfs
1.2 subsets of integers dfs1.2 subsets of integers dfs
1.2 subsets of integers dfsFarhana Shaheen
 
Fractions, percentages, decimals
Fractions, percentages, decimalsFractions, percentages, decimals
Fractions, percentages, decimalsFarhana Shaheen
 
1.1 real number system dfs
1.1 real number system dfs1.1 real number system dfs
1.1 real number system dfsFarhana Shaheen
 
Significance of Numbers in life Dr. Farhana Shaheen
Significance of Numbers in life Dr. Farhana ShaheenSignificance of Numbers in life Dr. Farhana Shaheen
Significance of Numbers in life Dr. Farhana ShaheenFarhana Shaheen
 
Derivatives in graphing-dfs
Derivatives in graphing-dfsDerivatives in graphing-dfs
Derivatives in graphing-dfsFarhana Shaheen
 
Stem and-leaf-diagram-ppt.-dfs
Stem and-leaf-diagram-ppt.-dfsStem and-leaf-diagram-ppt.-dfs
Stem and-leaf-diagram-ppt.-dfsFarhana Shaheen
 
Basics stat ppt-types of data
Basics stat ppt-types of dataBasics stat ppt-types of data
Basics stat ppt-types of dataFarhana Shaheen
 

More from Farhana Shaheen (20)

INTRODUCTION TO PROBABILITY.pptx
INTRODUCTION TO   PROBABILITY.pptxINTRODUCTION TO   PROBABILITY.pptx
INTRODUCTION TO PROBABILITY.pptx
 
Quadratic Functions.pptx
Quadratic Functions.pptxQuadratic Functions.pptx
Quadratic Functions.pptx
 
All About Functions- For a Layman.pptx
All About Functions- For a Layman.pptxAll About Functions- For a Layman.pptx
All About Functions- For a Layman.pptx
 
Geometrical transformation reflections
Geometrical transformation reflectionsGeometrical transformation reflections
Geometrical transformation reflections
 
Geometrical transformation
Geometrical transformationGeometrical transformation
Geometrical transformation
 
Sets and venn diagrams
Sets and venn diagramsSets and venn diagrams
Sets and venn diagrams
 
Polygons i-triangles-dfs
Polygons i-triangles-dfsPolygons i-triangles-dfs
Polygons i-triangles-dfs
 
One to one and onto lt 1.9 dfs
One to one and onto lt 1.9 dfsOne to one and onto lt 1.9 dfs
One to one and onto lt 1.9 dfs
 
Matrix of linear transformation 1.9-dfs
Matrix of linear transformation 1.9-dfsMatrix of linear transformation 1.9-dfs
Matrix of linear transformation 1.9-dfs
 
A Journey to Pakistan - Dr. Farhana Shaheen
A Journey to  Pakistan - Dr. Farhana ShaheenA Journey to  Pakistan - Dr. Farhana Shaheen
A Journey to Pakistan - Dr. Farhana Shaheen
 
3.1.2 Linear Equations in one Variable dfs
3.1.2 Linear Equations in one Variable dfs3.1.2 Linear Equations in one Variable dfs
3.1.2 Linear Equations in one Variable dfs
 
Fractions Dr. Farhana Shaheen
Fractions Dr. Farhana ShaheenFractions Dr. Farhana Shaheen
Fractions Dr. Farhana Shaheen
 
1.2 subsets of integers dfs
1.2 subsets of integers dfs1.2 subsets of integers dfs
1.2 subsets of integers dfs
 
Fractions, percentages, decimals
Fractions, percentages, decimalsFractions, percentages, decimals
Fractions, percentages, decimals
 
1.1 real number system dfs
1.1 real number system dfs1.1 real number system dfs
1.1 real number system dfs
 
Significance of Numbers in life Dr. Farhana Shaheen
Significance of Numbers in life Dr. Farhana ShaheenSignificance of Numbers in life Dr. Farhana Shaheen
Significance of Numbers in life Dr. Farhana Shaheen
 
Derivatives in graphing-dfs
Derivatives in graphing-dfsDerivatives in graphing-dfs
Derivatives in graphing-dfs
 
Mean median mode_range
Mean median mode_rangeMean median mode_range
Mean median mode_range
 
Stem and-leaf-diagram-ppt.-dfs
Stem and-leaf-diagram-ppt.-dfsStem and-leaf-diagram-ppt.-dfs
Stem and-leaf-diagram-ppt.-dfs
 
Basics stat ppt-types of data
Basics stat ppt-types of dataBasics stat ppt-types of data
Basics stat ppt-types of data
 

Recently uploaded

Stl Algorithms in C++ jjjjjjjjjjjjjjjjjj
Stl Algorithms in C++ jjjjjjjjjjjjjjjjjjStl Algorithms in C++ jjjjjjjjjjjjjjjjjj
Stl Algorithms in C++ jjjjjjjjjjjjjjjjjjMohammed Sikander
 
MichaelStarkes_UncutGemsProjectSummary.pdf
MichaelStarkes_UncutGemsProjectSummary.pdfMichaelStarkes_UncutGemsProjectSummary.pdf
MichaelStarkes_UncutGemsProjectSummary.pdfmstarkes24
 
size separation d pharm 1st year pharmaceutics
size separation d pharm 1st year pharmaceuticssize separation d pharm 1st year pharmaceutics
size separation d pharm 1st year pharmaceuticspragatimahajan3
 
Danh sách HSG Bộ môn cấp trường - Cấp THPT.pdf
Danh sách HSG Bộ môn cấp trường - Cấp THPT.pdfDanh sách HSG Bộ môn cấp trường - Cấp THPT.pdf
Danh sách HSG Bộ môn cấp trường - Cấp THPT.pdfQucHHunhnh
 
Navigating the Misinformation Minefield: The Role of Higher Education in the ...
Navigating the Misinformation Minefield: The Role of Higher Education in the ...Navigating the Misinformation Minefield: The Role of Higher Education in the ...
Navigating the Misinformation Minefield: The Role of Higher Education in the ...Mark Carrigan
 
How to Manage Closest Location in Odoo 17 Inventory
How to Manage Closest Location in Odoo 17 InventoryHow to Manage Closest Location in Odoo 17 Inventory
How to Manage Closest Location in Odoo 17 InventoryCeline George
 
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽中 央社
 
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...Nguyen Thanh Tu Collection
 
philosophy and it's principles based on the life
philosophy and it's principles based on the lifephilosophy and it's principles based on the life
philosophy and it's principles based on the lifeNitinDeodare
 
....................Muslim-Law notes.pdf
....................Muslim-Law notes.pdf....................Muslim-Law notes.pdf
....................Muslim-Law notes.pdfVikramadityaRaj
 
The Last Leaf, a short story by O. Henry
The Last Leaf, a short story by O. HenryThe Last Leaf, a short story by O. Henry
The Last Leaf, a short story by O. HenryEugene Lysak
 
How to the fix Attribute Error in odoo 17
How to the fix Attribute Error in odoo 17How to the fix Attribute Error in odoo 17
How to the fix Attribute Error in odoo 17Celine George
 
Post Exam Fun(da) Intra UEM General Quiz 2024 - Prelims q&a.pdf
Post Exam Fun(da) Intra UEM General Quiz 2024 - Prelims q&a.pdfPost Exam Fun(da) Intra UEM General Quiz 2024 - Prelims q&a.pdf
Post Exam Fun(da) Intra UEM General Quiz 2024 - Prelims q&a.pdfPragya - UEM Kolkata Quiz Club
 
Capitol Tech Univ Doctoral Presentation -May 2024
Capitol Tech Univ Doctoral Presentation -May 2024Capitol Tech Univ Doctoral Presentation -May 2024
Capitol Tech Univ Doctoral Presentation -May 2024CapitolTechU
 
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...Nguyen Thanh Tu Collection
 
Morse OER Some Benefits and Challenges.pptx
Morse OER Some Benefits and Challenges.pptxMorse OER Some Benefits and Challenges.pptx
Morse OER Some Benefits and Challenges.pptxjmorse8
 
INU_CAPSTONEDESIGN_비밀번호486_업로드용 발표자료.pdf
INU_CAPSTONEDESIGN_비밀번호486_업로드용 발표자료.pdfINU_CAPSTONEDESIGN_비밀번호486_업로드용 발표자료.pdf
INU_CAPSTONEDESIGN_비밀번호486_업로드용 발표자료.pdfbu07226
 
Behavioral-sciences-dr-mowadat rana (1).pdf
Behavioral-sciences-dr-mowadat rana (1).pdfBehavioral-sciences-dr-mowadat rana (1).pdf
Behavioral-sciences-dr-mowadat rana (1).pdfaedhbteg
 
REPRODUCTIVE TOXICITY STUDIE OF MALE AND FEMALEpptx
REPRODUCTIVE TOXICITY  STUDIE OF MALE AND FEMALEpptxREPRODUCTIVE TOXICITY  STUDIE OF MALE AND FEMALEpptx
REPRODUCTIVE TOXICITY STUDIE OF MALE AND FEMALEpptxmanishaJyala2
 

Recently uploaded (20)

Stl Algorithms in C++ jjjjjjjjjjjjjjjjjj
Stl Algorithms in C++ jjjjjjjjjjjjjjjjjjStl Algorithms in C++ jjjjjjjjjjjjjjjjjj
Stl Algorithms in C++ jjjjjjjjjjjjjjjjjj
 
MichaelStarkes_UncutGemsProjectSummary.pdf
MichaelStarkes_UncutGemsProjectSummary.pdfMichaelStarkes_UncutGemsProjectSummary.pdf
MichaelStarkes_UncutGemsProjectSummary.pdf
 
size separation d pharm 1st year pharmaceutics
size separation d pharm 1st year pharmaceuticssize separation d pharm 1st year pharmaceutics
size separation d pharm 1st year pharmaceutics
 
Danh sách HSG Bộ môn cấp trường - Cấp THPT.pdf
Danh sách HSG Bộ môn cấp trường - Cấp THPT.pdfDanh sách HSG Bộ môn cấp trường - Cấp THPT.pdf
Danh sách HSG Bộ môn cấp trường - Cấp THPT.pdf
 
Navigating the Misinformation Minefield: The Role of Higher Education in the ...
Navigating the Misinformation Minefield: The Role of Higher Education in the ...Navigating the Misinformation Minefield: The Role of Higher Education in the ...
Navigating the Misinformation Minefield: The Role of Higher Education in the ...
 
How to Manage Closest Location in Odoo 17 Inventory
How to Manage Closest Location in Odoo 17 InventoryHow to Manage Closest Location in Odoo 17 Inventory
How to Manage Closest Location in Odoo 17 Inventory
 
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
 
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...
 
philosophy and it's principles based on the life
philosophy and it's principles based on the lifephilosophy and it's principles based on the life
philosophy and it's principles based on the life
 
Post Exam Fun(da) Intra UEM General Quiz - Finals.pdf
Post Exam Fun(da) Intra UEM General Quiz - Finals.pdfPost Exam Fun(da) Intra UEM General Quiz - Finals.pdf
Post Exam Fun(da) Intra UEM General Quiz - Finals.pdf
 
....................Muslim-Law notes.pdf
....................Muslim-Law notes.pdf....................Muslim-Law notes.pdf
....................Muslim-Law notes.pdf
 
The Last Leaf, a short story by O. Henry
The Last Leaf, a short story by O. HenryThe Last Leaf, a short story by O. Henry
The Last Leaf, a short story by O. Henry
 
How to the fix Attribute Error in odoo 17
How to the fix Attribute Error in odoo 17How to the fix Attribute Error in odoo 17
How to the fix Attribute Error in odoo 17
 
Post Exam Fun(da) Intra UEM General Quiz 2024 - Prelims q&a.pdf
Post Exam Fun(da) Intra UEM General Quiz 2024 - Prelims q&a.pdfPost Exam Fun(da) Intra UEM General Quiz 2024 - Prelims q&a.pdf
Post Exam Fun(da) Intra UEM General Quiz 2024 - Prelims q&a.pdf
 
Capitol Tech Univ Doctoral Presentation -May 2024
Capitol Tech Univ Doctoral Presentation -May 2024Capitol Tech Univ Doctoral Presentation -May 2024
Capitol Tech Univ Doctoral Presentation -May 2024
 
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...
 
Morse OER Some Benefits and Challenges.pptx
Morse OER Some Benefits and Challenges.pptxMorse OER Some Benefits and Challenges.pptx
Morse OER Some Benefits and Challenges.pptx
 
INU_CAPSTONEDESIGN_비밀번호486_업로드용 발표자료.pdf
INU_CAPSTONEDESIGN_비밀번호486_업로드용 발표자료.pdfINU_CAPSTONEDESIGN_비밀번호486_업로드용 발표자료.pdf
INU_CAPSTONEDESIGN_비밀번호486_업로드용 발표자료.pdf
 
Behavioral-sciences-dr-mowadat rana (1).pdf
Behavioral-sciences-dr-mowadat rana (1).pdfBehavioral-sciences-dr-mowadat rana (1).pdf
Behavioral-sciences-dr-mowadat rana (1).pdf
 
REPRODUCTIVE TOXICITY STUDIE OF MALE AND FEMALEpptx
REPRODUCTIVE TOXICITY  STUDIE OF MALE AND FEMALEpptxREPRODUCTIVE TOXICITY  STUDIE OF MALE AND FEMALEpptx
REPRODUCTIVE TOXICITY STUDIE OF MALE AND FEMALEpptx
 

Exploring the world of mathematics kust

  • 1. Dr. Farhana Shaheen EXPLORING THE WONDERFUL WORLD OF MATHEMATICS
  • 2.
  • 3. Dr. Farhana Shaheen EXPLORING THE WONDERFUL WORLD OF MATHEMATICS
  • 4.
  • 5. Mathematics: Comes from the Greek word “Mathema” meaning “Science, Knowledge, or Learning” • The study of Figures and Numbers. • The study of Patterns of Structure, Change and Space. • The language of Sciences • A Science dealing with the Logic of Quantity, Shape and Arrangement. • The Science that deals with Numbers, Quantities, Shapes, Patterns, Measurement and the concepts related to them.
  • 6.
  • 7.
  • 8. Math is all about---
  • 9. Math THE QUEEN OF ALL SCIENCES • Why is mathematics called ''the queen of all sciences‘’? • Math is both the science and the art of tackling complicated challenges.
  • 10. Maths is the language of the universe • If there is any subject that can be used to understand the complexity and intricacy of nature, it is Maths. • Maths takes us to a world of perfectness and infinitude. • It is the world of fact and reason and that is the only thing that matters.
  • 11. MATH IS THE BUILDING BLOCK OF ALL SCIENCES • It is the building block for everything in our daily lives, including mobile devices, architecture (ancient and modern), art, money, engineering, and even sports, astronomy and what not. 11
  • 12. Maths is ALL AROUND US • Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do.
  • 13. Passion for Math? • It is often said that math is the queen of all sciences, but the truth is that it is also known as a subject that complicates the lives of many students, being the most difficult to learn. • The passions aroused by this science are extreme: either you love it, or you hate it.
  • 14. The Importance of Studying Mathematics and the Benefits it brings to our Brain.
  • 15.
  • 16. Some students feel like---?/?
  • 17.
  • 18. BUT THE FACT IS… MATH IS UNAVOIDABLE
  • 19. Learning Disability • A learning disability is a condition that produces a gap between someone's ability and his or her performance. • Typical learning difficulties include •Dyslexia, •Dyscalculia, and •Dysgraphia –
  • 20.
  • 21. DYSLEXIA • A specific learning disability in reading. Kids with dyslexia have trouble reading accurately and fluently. They may also have trouble with reading comprehension, spelling and writing.
  • 22.
  • 23. Dyscalculia • Resources: http://www.dyscalculia.org/ • The word "dyscalculia" means difficulty performing math calculations. • In other words, it just means “Math difficulty". • And specifically, it means a learning disability which affects Math.
  • 24. Dyscalculia is not a disease • It’s a simple learning disability that can be treated by just following some simple and easy steps and giving some extra time along with the routine of those students.
  • 25. DYSCALCULIA • A specific learning disability in Math. • Kids with dyscalculia may have difficulty understanding number-related concepts or using symbols or functions needed for success in mathematics.
  • 26. DYSGRAPHIA • A specific learning disability in writing. • Kids with dysgraphia may have difficulty writing legibly and at age-appropriate speed. Many children with dysgraphia also struggle to put their thoughts down on paper. • This is sometimes called a disorder of written expression.
  • 27.
  • 28. Learning Math Issues: Many students claim that there are too many mathematics formulas to remember. This can be a contributing factor to students' lack of interest in classroom mathematics.
  • 32. Try- • They enhance the storage and recall of information contained in the memory. • It can be an ACRONYM- • e.g. VIBGYOR: • Violet; Indigo; Blue; Green; Yellow; Orange; Red.
  • 35. (Memory devices) • LIATE: • Log; Inverse; Algebraic; Trigonometric; Exponents
  • 36.
  • 38. Give More Importance Towards Applications of Maths • https://www.youtube.com/watch?v=sBF cX2KWScI
  • 39. Life Without Maths- is NOTHING 39
  • 40. • In shopping… In baking, cooking 40
  • 42.
  • 43. The Power of Mathematical Visualization • Mathematical visualization is an aspect of geometry which allows one to understand and explore mathematical phenomena via visualization. • A new, visual way to think about Math.
  • 44. Visual Math • https://www.youtube.com/watch?v=TyO dLqHJqRY&pbjreload=10 • These animations will help you understand the math concepts you never got in high school
  • 45. The Power of Visualization in Mathematics • Creating Visual representations for Math students can open up their understanding. • Geogebra • Youcubed • Desmos
  • 46. The Power of Visualization in Mathematics • Animations • Visual Patterns • Graphs • Number Lines • Tape Diagrams • Duda Maths • Area Models
  • 47. 47
  • 48.
  • 50.
  • 51. Math and Movies • (Animation at Pixar) – Numberphile • https://www.youtube.com/watch?v=mX 0NB9IyYpU •
  • 52. Math in Music • Donald Duck Donald In Mathmagic Land • https://www.youtube.com/watch?v=Pvc eKeHl0Sg • An Adventure in Color/Mathmagicland (1961) • https://www.youtube.com/watch?v=yLffxw RlXcc
  • 53. Music and Math • The Genius of Beethoven – Natalya St. Clair • https://www.youtube.com/watch?v=zAxT0 mRGuoY
  • 54. The Maths of Music • Ratios of Frequencies of Musical Notes • https://www.youtube.com/watch?v=rTT1X HJKKug
  • 55. Cryptography with Matrices • This tutorial will show you how to encode and decode messages using matrices. • https://www.youtube.com/watch?v=hlYAC o8c4bc
  • 57. Applications of Matrix in Real Life • 1976 Matrix Singular Value Decomposition Film • https://www.youtube.com/watch?v=R9 UoFyqJca8 • https://www.youtube.com/watch?v=jzHb1 R5wWYU
  • 58. The True Power of the Matrix • (Transformations in Graphics) - Computerphile • https://www.youtube.com/watch?v=vQ60r Fwh2ig
  • 59. • Fibonacci Numbers in Nature • Golden Ratios in Nature • Fractals in Nature
  • 60.
  • 62. Golden Ratio In Nature
  • 63. Importance of GOLDEN RATIO • Makkah The Miraculous Golden Ratio City The Secret Of Kaaba • https://www.youtube.com/watch?v=19zU WMCJTnE • Why is 1.618034 So Important? • https://www.youtube.com/watch?v=keLN8 9CWZ-A
  • 64. FRACTALS • The Mandelbrot Set - • “How to transform in my mind, Formulas into Geometrical Shapes” • https://www.youtube.com/watch?v=56gzV 0od6DU
  • 66. Fibonacci Sequence in Music • https://www.youtube.com/watch?v=2pb Earwdusc • The Magic of Fibonacci numbers | Arthur Benjamin
  • 67. Let’s Visit the Wonderful World of Mathematics
  • 68. Mathemagician Arthur Benjamin • Math is logical, functional and just ... awesome. Mathemagician Arthur Benjamin explores hidden properties of that weird and wonderful set of numbers, the Fibonacci series. (And reminds you that mathematics can be inspiring, too!) • https://www.youtube.com/watch?v=SjS HVDfXHQ4
  • 69. Mathemagician Arthur Benjamin • We spend so much time on learning about Calculations- we should Not forget about Applications- • The MOST IMPORTANT application of Math is LEARNING HOW TO THINK • Mathematics is Not just solving for “x”, it’s Also figuring out “WHY”
  • 70. Math isn’t hard-It’s a Language • “The Laws of Nature are written in the Language of Mathematics” • Galileo • https://www.youtube.com/watch?v=V6yix yiJcos • TEACH MATHS AS A HUMAN LANGUAGE
  • 71.
  • 73. The Surprising Beauty of Mathematics • | Jonathan Matte | TEDxGreensFarmsAcademy • https://www.youtube.com/watch?v=SEiSlo E1r-A
  • 74. Real life Applications of Trigonometry • Trigonometry - Easy to Understand 3D Animation • https://www.youtube.com/watch?v=ovL bCvq7FNA&t=185s • https://www.youtube.com/watch?v=1ok hBnvuuck
  • 75.
  • 76. RECREATIONAL MATHS & MATHEMATICAL PUZZLES • Mathematics is not only a language of tough equations and logic, it has a real beauty of thinking, and Puzzles and Recreational Mathematics is the best way to explore the deepness of Mathematics.
  • 77. GEOGEBRA • THE GRAPHING CALCULATOR FOR FUNCTIONS, GEOMETRY, ALGEBRA, CALCULUS, STATISTICS AND 3D MATH! • It makes a link between Geometry and Algebra, in a unique Visual way.
  • 78. GEOGEBRA • GeoGebra is an interactive geometry, algebra, statistics and calculus application, intended for learning and teaching mathematics and science from primary school to university level.
  • 79. • Discover Math with GeoGebra • Solve equations, graph functions, create constructions, analyze data, explore 3D math! • https://www.geogebra.org/
  • 82. YOUCUBED- MISSION • Our main goal is to inspire, educate and empower teachers of Mathematics, transforming the latest research on math into accessible and practical forms. • We know from research how to teach math well and how to bring about high levels of student engagement and achievement but research has not previously been made accessible to teachers.
  • 83.
  • 84.
  • 86. TAPE DIAGRAM • A tape diagram, also known as a bar model, is a pictorial representation of ratios. • In mathematics education, it is used to solve word problems.
  • 87.
  • 88. DUDAMATH • http://www.dudamath.com/ • DUDAMATH is an integrated environment for interactive exploration of mathematical concepts and problem solving.
  • 89. For Kids: Bedtime Math • Parents know to read to their kids at night, but what about Math? • Our mission is simple: to make math a fun part of kids' everyday lives, as beloved as the bedtime story. • https://parents.bedtimemath.org/home/ data-center#tab=account
  • 90. Trigonometry - Easy to Understand 3D animation https://www.youtube.com/watch ?v=PF2nmCVSUEs •
  • 91. Trick for doing trigonometry mentally! https://www.youtube.com/watch?v=jI81WXy FrL0
  • 92. Super Hexagon for Trigonometric Identities • https://www.youtube.com/watch?v=T7D 1W1oD8wo
  • 93. What if they spent the time on studying- what they spend on Chatting?
  • 94. Watch this! • https://www.khanacademy.org/partner- content/pixar/start/introduction/v/pipeline-video • https://www.khanacademy.org/partner- content/pixar/environment-modeling-2/mathematics- of-parabolas2-ver2/a/parabolas-lesson-brief • https://www.khanacademy.org/partner- content/pixar/environment-modeling-2/animating- parabolas-ver2/v/overview-parabolic-arcs • https://www.khanacademy.org/partner- content/pixar/environment-modeling-2/animating- parabolas-ver2/v/environment-modeling2
  • 95. Let’s Visit the Wonderful World of Mathematics
  • 96. MATHIGON • WORLD OF MATHEMATICS • http://world.mathigon.org/
  • 97.
  • 98. List of Free Math softwares http://listoffreeware.com/list-of-best- free-math-software/
  • 99. Euler Math Toolbox • Euler Math Toolbox is a free math software for your PC. With the help of this software you can carry out various calculations in mathematics such as subtraction, addition, calculus problems, algebra, matrices, functions and complex equations. This freeware is very useful for math students as they can solve nearly all types of mathematics problems by using this freeware.
  • 100. xFunc • Xfunc is a free math software for your computer. With the help of this freeware you can solve math problems easily. By using this software you can write various types of equations in mathematics solve them and also see their solutions. You can utilize various functions to make different mathematical expressions with the help of Xfunc.
  • 101. QMentat • QMentat is a free software for practice and learning mental mathematics. Mental mathematics means performing mathematical calculations in your mind. There is no need to use calculators, pencil and pen in mental mathematics. With the help of this freeware you can quickly develop skills for mental mathematics. This freeware can perform various types of math operations such as roots, powers, divisions, multiplication, subtraction and addition.
  • 102. TalkingMath • TalkingMath is a free math software for your children. With the help of this freeware your kids can learn mathematics easily and quickly. This freeware also supports audio mode. TalkingMath works in 3 different modes such as timer, standard and interactive mode. TalkingMath lets you perform various types of mathematical calculations such as division, multiplication, subtraction and addition.
  • 103. JXCirrus Maths • JXCirrus Maths is a free math software to learn mathematics. This freeware is specially created for small children to learn math in a exciting and fun way. With the help of this freeware you can easily create easy and basic exercises in math for your children. JXCirrus Maths teaches your children basic math operations such as division, multiplication, subtraction and addition.
  • 104. SpeQ Mathematics • SpeQ Mathematics is a free math software for your computer. With the help of this freeware you can easily learn math and solve complex problems in mathematics. It has inbuilt support for a wide variety of variables, constants and mathematical functions. SpeQ Mathematics also lets you define functions and custom variables. You can also solve problems of trigonometry by using this freeware.
  • 105. Math Editor • Math Editor is a free math software. With the help of this freeware you can create mathematical equations with various symbols such as Cyrillic, alpha, beta, Greek symbols, square root, integrate easily and quickly. It supports TIFF, GIF, BMP, JPEG and PNG formats. This freeware is very useful for creating mathematical equations on your PC.
  • 106. Microsoft Mathematics • Microsoft Mathematics is a free math software for your computer. With the help of this freeware math students can solve complex math problems easily. It basically helps math students to solve problems in algebra. Apart from that you can also draw 3D and 2D images with the help of this utility. The main objective of this freeware is to teach students the basic of math, physics and chemistry.
  • 107. CompliCalc • CompliCalc is a free mathematical software. With the help of this freeware you can solve complex mathematical problems easily and quickly. This freeware also includes various functional and algebraic calculators. CompliCalc lets you perform a wide variety of operations such as calculate square root, factorial, discount and distance. To use this freeware you need to specify the task you want to perform on the main interface of this freeware.
  • 109. 'Geometry' means 'Earth Measuring'. • Initially, as with the Egyptians, geometry originated from practical necessity and the need to measure land; the word 'Geometry' means 'Earth Measuring'. • The Babylonians were certainly skilled geometers, and the Egyptians developed a rich and complex mathematics based around surveying. Both of these cultures would pass their information on to the Greeks.
  • 110. GEOGEBRA • Geogebra is a free math software. With the help of this freeware math teachers can teach mathematics and math students can learn mathematics. This freeware provides a sound platform to math students to learn math and solve mathematical problems of various topics such as linear programming, complex numbers, vectors, probability, discrete mathematics, calculus, statistics, algebra, functions and graphs, geometry etc.
  • 111. GEOGEBRA • http://web.geogebra.org/chromeapp/ 3D Grapher is a feature-rich yet easy-to-use graph plotting and data visualization software suitable for students, engineers and everybody who needs to work with 2D and 3D graphs. With 3D Grapher you can easily plot the equation and table-based graphs, zoom them, rotate, view at any angle and even animate. You can draw the unlimited number of graphs in one coordinate system to visualize and analyze the domains of functions and their intercepts.
  • 112. GeoEnzo • GeoEnzo is a math software specially build for mathematics teachers. With the help of this freeware mathematics teacher can teach geometry to math students. This freeware lets you easily draw various types of geometrical shapes such as cone, triangle, circle, cube, line and many more. This freeware is very useful for teaching geometry to math students.
  • 113. INTRODUCING PREALGEBRA FOR FOUNDATION YEAR • http://www.xyzsolve.com/PreAlgebra/in dex.aspx
  • 114. Math-Shortcut-Tricks.Com • Square and Square Root Tricks • Cube and Cube root Tricks • BODMAS Rules • Fraction Tricks • Knowing Basic Maths
  • 115. Calculator for kids • Calculator for Kids is a basic math application specially build for your children. With the help of this freeware kids can learn the basic math and carry out simple mathematical operations such as division, subtraction, multiplication, addition etc. Your kids can learn basic functions of math with a simple approach by using this freeware. Calculator for Kids is a portable application.
  • 116. ATHLETICS vs Mathletics has evolved… right into your hands. The multi award-winning e-learning platform is available on iPad. Use in the classroom, at home – or anywhere. Use online or offline - Mathletics can be accessed ANYWHERE!
  • 117. It can be a sentence- • Like- King Harry Doesn’t Usually Drink Chocolate Milk
  • 118. MATH Mnemonics- Example • Some People Have Curly Brown Hair Through Proper Brushing • Now you look yourself on the Capital Letters Sin x = P/H Cos x = B/H Tan x = P/B
  • 119. • Is there any simple way to remember the Trigonometry formulas? • SOH-CAH-TOA
  • 120. Super Hexagon for Trigonometric Identities • https://www.youtube.com/watch?v=T7D 1W1oD8wo
  • 121. Or-It can be a poem? Like in Statistics-
  • 122. Now try For Probability?
  • 123. (Memory devices) • It can be any physical action-
  • 124. Finding SLOPE of a line • Mnemonics can be a picture-
  • 125. Mnemonics- Example: To find slopes • For horizontal lines: • Slope=0 • Z for zero • For vertical lines: • Slope is undefined • N for No slope
  • 126. To determine the concavity of a function using second derivative Concave upward Concave downward Think of some examples …
  • 128. Use drawing as Mnemonics
  • 129.
  • 132.
  • 133.
  • 134. Memorizing the formula (a+b)^n: • Use- Pascal’s Triangle
  • 135. Go for Mental Maths- It sharpens your mind- and saves your time • • Avoid using Calculator
  • 136. Let’s try making Math EeeZeee
  • 137. Let’s see how fast we are in mental Maths- ;) • Think of a number- ??? • Double it--- • Add 6 to it • Divide it into half • Deduct your number- • And- the Answer is ???
  • 138. Let’s see how fast we are in Maths symbols ;)
  • 139.
  • 140. Mathinglish • M • A • T • H • INGLISH
  • 141. Which strategy would you use here?
  • 142.
  • 143. Guess the missing numbers?
  • 144. Guess the missing numbers?
  • 145.
  • 146.
  • 147.
  • 148.
  • 149.
  • 150.
  • 151. • 5 + 3 = 28 9 + 1 = 810 8 + 6 = 214 5 + 4 = 19 Then 7 + 3 = ??
  • 152. Solve the puzzle- • 11 x 11 = 4 • 22 x 22 = 16 • 33 x 33 = 18 • 44 x 44 = ??
  • 153.
  • 155. Prove that 2 = 1 • Find the flaw!