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Dr. Farhana Shaheen
Yanbu University College, KSA
EXPLORING THE
WONDERFUL WORLD OF
MATHEMATICS
Start each day with
Bismillah!
• Always pray to
ALLAH!
How to study for your
Exams?
A Kind Advice:
Make your morning-
a really….
A good breakfast- gives you
a better start- Do u know???
• Eating the right morning meal---
• Can have a big impact on brainpower-
Believe me
• A good breakfast- gives you a better
start
• Nuts, milk, and fresh fruit are great
ways to feed your Brain-
Math THE QUEEN OF ALL
SCIENCES
Why is Math HARD?
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 –
Some students feel like---?/?
• But- OUR job, as teachers is to MAKE
them Love Maths-
Afraid of Maths?
• Why are so many of our students so
mathematically afraid?
• Why do so many of our children appear
so distant and so disinterested in so
many aspects of classroom
mathematics?
• Here are some of the reasons below:
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.
• And-
• They
• End up
• With…
• …Dropping
the course?
There are thousands of
reasons….
So Don’t Give up Math???
What to do?
And….How to make them
think…..?
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.
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
Strategy for memorizing
Formulae?/?/?
TRY USING MNEMONIC
STRATEGIES
Math Tricks! Mnemonics!
• The word 'mnemonic' (pronounced NI-
MON-IK) is a formula, rhyme or a
simple sentence that helps a person
remember something. Since math is
always perceived by students to be
difficult, there is a greater need to
project its simplicity by the use of
mnemonic devices.
• 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.
EXAMPLES:
MATHS------
• http://nicadez.blogspot.com/2012/07/ma
th-tricks-are-mnemonics.html
PEMDAS 3/7- (2/5-8)^2
Remember FOIL Method?
(Memory devices)
• LIATE:
• Log; Inverse; Algebraic;
Trigonometric; Exponents
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
SOH-CAH-TOA
• Is there any simple way to remember
the Trigonometry formulas?
• Sin x = O/H
Cos x = A/H
Tan x = O/B
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
Let’s try making Math
EeeZeee
Let’s see how fast we are in
recognizing Maths symbols
:)
• ;) ;P
Mathinglish
• M
• A
• T
• H
• INGLISH
• ?
Go for Mental Maths- It
sharpens your mind- and
saves your time
•
• Avoid using Calculator
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 ???
Which strategy would you use
here?
• If 1 = 5
• 2 = 10
• 3 = 15
• 4 = 20
• Then….
• 5 = ?
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!
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.
Now Try-”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
Use 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!
•
•
•Any Question?
•Comments?
http://www.wikihow.com/Solve-Math-
Problems

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Exploring the world of mathematics Dr. Farhana Shaheen

  • 1. Dr. Farhana Shaheen Yanbu University College, KSA EXPLORING THE WONDERFUL WORLD OF MATHEMATICS
  • 2. Start each day with Bismillah! • Always pray to ALLAH!
  • 3.
  • 4. How to study for your Exams?
  • 5. A Kind Advice: Make your morning- a really….
  • 6. A good breakfast- gives you a better start- Do u know??? • Eating the right morning meal--- • Can have a big impact on brainpower- Believe me • A good breakfast- gives you a better start • Nuts, milk, and fresh fruit are great ways to feed your Brain-
  • 7. Math THE QUEEN OF ALL SCIENCES
  • 8.
  • 9. Why is Math HARD?
  • 10. 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 –
  • 11. Some students feel like---?/? • But- OUR job, as teachers is to MAKE them Love Maths-
  • 12. Afraid of Maths? • Why are so many of our students so mathematically afraid? • Why do so many of our children appear so distant and so disinterested in so many aspects of classroom mathematics? • Here are some of the reasons below:
  • 13. 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.
  • 14. • And- • They • End up • With… • …Dropping the course?
  • 15.
  • 16. There are thousands of reasons….
  • 17. So Don’t Give up Math???
  • 19. And….How to make them think…..?
  • 20.
  • 21. 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.
  • 22. What if they spent the time on studying- what they spend on Chatting?
  • 23. 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
  • 24.
  • 27. Math Tricks! Mnemonics! • The word 'mnemonic' (pronounced NI- MON-IK) is a formula, rhyme or a simple sentence that helps a person remember something. Since math is always perceived by students to be difficult, there is a greater need to project its simplicity by the use of mnemonic devices.
  • 28. • 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.
  • 32. (Memory devices) • LIATE: • Log; Inverse; Algebraic; Trigonometric; Exponents
  • 33. It can be a sentence- • Like- King Harry Doesn’t Usually Drink Chocolate Milk
  • 34.
  • 35. 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
  • 36. SOH-CAH-TOA • Is there any simple way to remember the Trigonometry formulas? • Sin x = O/H Cos x = A/H Tan x = O/B
  • 37. Or-It can be a poem? Like in Statistics-
  • 38. Now try For Probability?
  • 39. (Memory devices) • It can be any physical action-
  • 40. Finding SLOPE of a line • Mnemonics can be a picture-
  • 41. Mnemonics- Example: To find slopes • For horizontal lines: • Slope=0 • Z for zero • For vertical lines: • Slope is undefined • N for No slope
  • 42. To determine the concavity of a function using second derivative Concave upward Concave downward Think of some examples …
  • 44. Use drawing as Mnemonics
  • 45.
  • 48.
  • 49.
  • 50. Memorizing the formula (a+b)^n: • Use- Pascal’s Triangle
  • 51. Let’s try making Math EeeZeee
  • 52. Let’s see how fast we are in recognizing Maths symbols :) • ;) ;P
  • 53.
  • 54. Mathinglish • M • A • T • H • INGLISH • ?
  • 55.
  • 56. Go for Mental Maths- It sharpens your mind- and saves your time • • Avoid using Calculator
  • 57. 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 ???
  • 58.
  • 59.
  • 60. Which strategy would you use here?
  • 61. • If 1 = 5 • 2 = 10 • 3 = 15 • 4 = 20 • Then…. • 5 = ?
  • 62. Guess the missing numbers?
  • 63.
  • 64.
  • 65.
  • 66.
  • 67.
  • 68.
  • 69. • 5 + 3 = 28 9 + 1 = 810 8 + 6 = 214 5 + 4 = 19 Then … • 7 + 3 = ??
  • 70. Solve the puzzle- • 11 x 11 = 4 • 22 x 22 = 16 • 33 x 33 = 18 • 44 x 44 = ??
  • 71.
  • 73. Prove that 2 = 1 • Find the flaw!
  • 74.
  • 75.
  • 76. MATHIGON • WORLD OF MATHEMATICS • http://world.mathigon.org/
  • 77.
  • 78. List of Free Math softwares http://listoffreeware.com/list-of-best- free-math-software/
  • 79. 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.
  • 80. 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.
  • 81. 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.
  • 82. 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.
  • 83. 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.
  • 84. 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.
  • 85. 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.
  • 86. 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.
  • 87. 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.
  • 89.
  • 90.
  • 91. '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.
  • 92. Now Try-”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.
  • 93. 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.
  • 94. 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.
  • 95. INTRODUCING PREALGEBRA FOR FOUNDATION YEAR • http://www.xyzsolve.com/PreAlgebra/in dex.aspx
  • 96. Use Math-Shortcut- Tricks.Com • Square and Square Root Tricks • Cube and Cube root Tricks • BODMAS Rules • Fraction Tricks • Knowing Basic Maths
  • 97. 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.
  • 98.
  • 99. 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!
  • 100.

Editor's Notes

  1. On strips of chart paper, arrange ,the styles in which you learn more.