- 1. Dr. Farhana Shaheen EXPLORING THE WONDERFUL WORLD OF MATHEMATICS
- 3. Dr. Farhana Shaheen EXPLORING THE WONDERFUL WORLD OF MATHEMATICS
- 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.
- 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.
- 16. Some students feel like---?/?
- 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 –
- 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.
- 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.
- 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.
- 29. What to do?
- 31. Try using------
- 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
- 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
- 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
- 49. Mathmagic Land
- 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
- 61. Fibonacci in Nature Art
- 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
- 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
- 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/
- 80. YOUCUBED
- 81. https://www.youcubed.org/ • Watch this video:
- 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.
- 85. TAPE DIAGRAM
- 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.
- 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/
- 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 …
- 127. Mathematical Rhymes?
- 128. Use drawing as Mnemonics
- 130. Math for ID
- 131. Or graphs-
- 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 ;)
- 140. Mathinglish • M • A • T • H • INGLISH
- 141. Which strategy would you use here?
- 143. Guess the missing numbers?
- 144. Guess the missing numbers?
- 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 = ??
- 154. CHALLENGE: Complete the third box
- 155. Prove that 2 = 1 • Find the flaw!
- 156. • • Any Question?