Green Math (Basic)

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Green Math Basic Online Course (Urdu) For Students To Save Them From Math Fear (95 Lessons)


Green Math Benefits and Features


Following are some of the many benefits and features of Green Math System which contrast significantly with conventional mathematics:




Perhaps the most striking feature of the Green Math is its coherence. Instead of a hotchpotch of unrelated techniques the whole system is beautifully interrelated and unified: the general multiplication method, for example, is easily reversed to allow one-line divisions and the simple squaring method can be reversed to give one-line square roots. And these are all easily understood. This unifying quality is very satisfying; it makes mathematics easy and enjoyable and encourages innovation.






In conventional teaching you usually have one way of doing a calculation. This is rigid and boring, and intelligent and creative students rebel against it. Once you allow variations, as in Green Math, you get all sorts of benefits. Children become more creative. The teacher encourages innovation and the children respond. In Green Math System there are general methods that always work, for example a method of multiplication that can be applied to any numbers. But the Green Math System has also many special methods, when a calculation has some special characteristic that can be used to find the answer more easily. And it’s great fun when you spot that method.


Having only one method of, say, multiplying is like a carpenter who uses a screwdriver for every job. The skilled craftsman selects the tool most appropriate for the job and gets it done quicker, better and with more satisfaction.


So there are special methods that apply in special cases and also general methods. You don’t have to use these special methods but they are there if you want to.


Calculations can often be carried out from right to left or from left to right.


You can represent numbers in more than one way; you can work 2 or more figures at a time if you wish.


This flexibility adds to the fun and gives students the freedom to choose their own approach. This in turn leads to the development of creativity and intuition. The Green Math System does not insist on a purely analytic approach as many conventional teaching methods do. This makes a big difference to the attitude which children have towards mathematics.




Mental, improves memory:


The ease and simplicity of Green Math means that calculations can be carried out mentally (though the methods can also be written down). There are many advantages in using a flexible, mental system.


Students can invent their own methods; they are not limited to the one ‘correct’ method. This leads to more creative, interested and intelligent students. It also leads to improved memory and greater mental agility.




Promotes creativity:


All these features of Green Math encourage students to be creative in doing their math. Being naturally creative students like to devise their own methods of solution. The Green Math seeks to cultivate intuition, having a conscious proof or explanation of a method beforehand is not essential in the Green methodology. This appeals to the artistic types who prefer not to use analytical ways of thinking.




Appeals to everyone:


The Green Math System appears to be effective over all ability ranges: the able child loves the choice and freedom to experiment and the less able may prefer to stick to the general methods but loves the simple patterns they can use. Artistic types love the opportunity to invent and have their own unique input, while the analytic types enjoy the challenge and scope of multiple methods.

Increases mental agility:


Because the Green Math System uses these ultra-easy methods mental calculation is preferred and leads naturally to develop mental agility. And this in turn leads to growth in other subjects.




Efficient and fast:


In the Green Math System ‘difficult’ problems or huge sums can often be solved immediately. These striking and beautiful methods are just a part of a complete system of mathematics which is far more systematic than the conventional ‘system’. Green Math manifests the coherent and unified structure naturally inherent in mathematics and the methods are direct, easy and complementary.




Easy, fun:


The experience of the joy of mathematics is an immediate and natural consequence of practicing Green Math. And this is the true nature of math – not the rigid and boring ‘system’ that is currently widespread.




Methods apply in algebra:


Another important feature of the Green Math is that once an arithmetic method has been mastered the same method can be applied to algebraic cases of that type – the beautiful coherence between arithmetic and algebra is clearly manifest in the Green Math System.




Applies to all areas of Mathematics:


Green Math is not a bunch of tricks. It applies to all the areas and branches of mathematics including arithmetic, algebra, geometry, trigonometry, calculus, etc., etc. In fact, there is no part of mathematics, pure or applied, which is beyond its jurisdiction.

Table of Contents

1 Numbers 21 Checking additions 41 All from 9 – part 4 61 Angles 81 Number splitting – multiplication
2 Multiples of ten 22 Halving and quarters 42 Figuring change 62 Degrees 82 Number splitting – division
3 Subtraction 23 Writing fractions 43 Fraction unity 63 Finding angles 83 Tables up to 20 x 20
4 Two figure numbers 24 Looking for tens 44 Adding fractions 64 Divisibility 84 Base multiplication
5 Adding two figure numbers 25 Cross multiplication 1 45 Subtracting fractions 65 Divisibility by 3, 9 85 Lightning multiplication
6 Geometry 26 Multiplying numbers over 10 46 Dividing halves & quarters 66 Divisibility puzzles 86 Numbers over 100
7 Adding near a base 27 Multiplication table patterns 47 Extending multiplication tables 67 Multiplication by 11 87 Using proportion
8 Subtracting near a base 28 Look ahead subtraction 48 Calculating area 68 Multiplying longer numbers by 11 88 Square numbers
9 Doubling 29 The number 9 49 Multiplying by 10, 20, 300… 69 Using symbols 89 Triangular numbers
10 Halving 30 Checking subtractuions 50 Division 70 Algebra 90 Cube numbers
11 Adding several numbers 31 Doubling 51 Two easy numbers 71 Millions 91 Circles and points
12 Odd and even numbers 32 Quadrupling 52 Division by 9 72 Coordinates 92 Reflection symmetry
13 Multiples 33 Doubling fractions 53 Further division by 9 73 Triangles 93 Rotation symmetry
14 Common multiples 34 Halving three figures 54 Looking ahead 74 Geometrical notation 94 Polygons
15 Completing the whole 35 Short multiplication 55 Number splitting: addition 75 Quadrilaterals 95 Area of a triangle
16 Digit sums 36 Larger numbers 56 Number splitting – subtraction 76 Diagonals of quadrilaterals 96 Abundant, deficient & perfect numbers
17 9 point circle 37 Writing figures 57 Factors 77 Divisibility by 4, 6 and 15 97 Divisibility puzzles
18 Totals of Nine 38 All from 9 – part 1 58 Factor pairs 78 Subtraction 98 Checking divisions standard method
19 Digit sums puzzles 39 All from 9 – part 2 59 Prime numbers 79 Decimal addition 99 Checking divisions with digit sums
20 Advanced digit sum puzzles 40 All from 9 – part 3 60 Highest common factor 80 Decimal subtraction 100 Approximate answers



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