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Making Mathematics simpler and joyful – magic math 2017-10-19 05:36:56

SQUARE ANY NUMBER USING VEDIC MATH

image via: Exam hot spot

Hello Everyone,

I hope you are having fun with math using Vedic mathematics technique, in my previous post we learned multiplication tricks and witnessed that how easily we can solve complex multiplication problems using Vedic math. Knowledge to execute fast mental mathematical calculation will help us enormously regardless of which field of life our deal with. The significance of these mental math tricks is that it will give us positive edge over others irrespective of whether we are a student or a teacher.

In this blog post, we will learn how to find a square of any number using Vedic math technique.

Now we will see the how we can implement Vedic technic and find the square of numbers ending with unit place digit as 5 (up to 95) in specific method.

Type 1: Square of any number with 5

                      252

1)2 is in ten’s place 5 is in unit’s place

2) Splits the digit

3) Tens place is 2 the next number of 2 is 3 multiply it i.e.2×3=6

4) Square of 5 is 25

5) Step 3 & step 4 together gives the final answer i.e.625

Type 2: Square of any number with 25

                             4252

1) Split two digits, hundred’s place 4 & ten’s and unit’s place is 25

2) Square hundred’s place i.e.42 = 16

3) Square of 252 = 625

4) Then divide 4/2=2

5) Add 16+2=18

6) Multiply 18 by 10 we will i.e. 18×10=180

7) Step 3 & step 6 together gives final answer i.e. 180,625

Type 3: Square of any number lies between (30-80)

                                     532

1)5 is ten place (Left side) & 3 is in unit place (Right side)

2) Consider the base, here 50 is nearest which can be taken as a  Power of 10

3) Deviate the Number i.e. 53= (50+3) (Base + n)

4) Take the half of the base and add the digit of deviation ‘n’ i.e. 25+3=28

5) Square unit place (Right side) i.e. 32=9, When we take square of right side, if we get  1-digit value then we have to consider the value as 0 & the digit hence the value will be   09

6) Step 4 & Step 5 together gives the answer i.e. = 2,809

Type 4: Square of any number to Base 100

                       982

1) Consider the base, here 100 is nearest base which can be taken as a power of 10

2) Deviate the number i.e. 98= (100-2) (Base-n)

3) Then 98-2=96

4) (n 2) i.e. 22=4, if we get 1-digit value then we have to consider the value as 0 & the digit then the value will be 04

5) Step 3 & step 4 together gives the answer i.e. 9604

Type 5: Square of any number near to Base n×100         

                                896 2

1) Consider the base, here 900 is nearest base which can be taken as a power of 10

2) Find the deviation for the given digits i.e. 8962= (900-4)2

3) We will split Base as (9×100 – 4) (n×100-n 1)

4) Multiply the given digit with n i.e. 896×9=8064

5) n×(-n 1) =9× (-4) =-36

6) Step 4-Step 3 i.e.8064-36=8028

7) Square n 1 i.e.42=16

8) Step 6 & Step 7 together gives the answer i.e. 802816

image via :Momscribe

Some of us might find it difficult when we just see these steps, with just a little bit of practice we can easily master these tricks and perform these simple math tricks in blink of an eye. In the below video I have solved few problems based on the above stated steps and I hope after seeing the video you find this technic simple and easy.

Thanks for stopping by.

 


Making Mathematics simpler and joyful – Magic math

The Magic of Vedic math in solving multiplication problems

Hello everyone,

As a mathematics lecturer from past 6 years one thing I have noticed among my students and peers is the hatred for math. The more I talk to people about math, the more I hear this word: “I don’t like math, because math problems have only one answer. I’m really bad at math how can I get better. When I start talking about it I have had situations where people looking at me as if I was from mars, so let us start the journey of learning and make math simple and joyful with Technic of Vedic math which I call math with Magic.

In my previous post ,I have discussed about the Technic of Vedic math which can be used to simplify complex mathematical problems, in this post we will learn to apply this Technic in solving multiplication problems. Vedic math is an ancient Indian system of math that has been rediscovered and researched by Krishna Tripathi, and has become very popular because of its superiority over traditional math. By understanding this Technic, we can solve complex arithmetic problems mentally and that too in much less time.

I am big fan of Ted –Ed let us begin our journey by playing with numbers ……

Multiplication will  become a lot more fun using vedic technic and we can solve complex numbers in a minute and that too without using a calculator. I have implemented vedic technic of multiplication in solving  three digit number and explained every steps with the pictorial representation of the vertical and cross multiplication method . Due to the limitation in word press I had issues in posting , please click the link below.

Vedic mathematics multiplication.

After going through the vedic technic of multiplication in solving three digit number I guess most of you might have felt the magic but some of us might take a little getting used to it, no worries in the below video I have solved four digit multiplication problem using Vedic Technic and after watching it I am positive that you will find vedic math interesting and fun.

When any number has to be multiplied by series of 9,99,9999 and so on then we can apply very simple Vedic math technique and solve problems in lesser time. Please click the link below.

Vedic-multiplication-by-9,99,999 and so on…. 

 

image via multiplication

The below video will helps us Solving Problems Based on Base Numbers.

Thank you for your time, in my next post we will learn some more applications of Vedic math and Make Mathematics simpler and joyful.

 

 


Classroom embedded with tools of social media

Social media has become an integral part of our youth and schools are no exception, social media offers an ocean of resources for students in learning and interactivity, there is no doubt that student benefit using them but as an educator I feel that it is our duty to tailor our students in becoming positive and efficient digital citizens.it is often claimed that social media is a distraction but when it is carefully used it can be a useful tool rather than distraction and that is where we come in and I believe education to educators might be the only way that will change  culture of teaching , if we are properly equipped with the right knowledge of the technology which we are using and promoting in our classrooms and exploiting the concept up to the fullest that is when we can deliver it to our students and make them a positive contributors and learners.

There is a trending debate that social media is killing student success, the whole idea of introducing social media in classroom is that students share their work with the world and connect with the like-minded people and concept, while it might be true to some extent that social media can have a negative impact on students but it’s not the tool itself that’s the problem, in fact, it is how to use it  that is where educators  play a vital role. As an old Chinese proverb says  “Give a man a fish and you feed him for a day. Teach a man to fish and you feed him for a lifetime.” We have to teach our students how effectively and positively social media can be exploited to help their academic growth

By sharing their work with the world students can get quick feedback. When a student is unsure how well his work is going, it might be a project or a research paper or an article he can get insights and suggestions by friends, family, professors, and scholars and come up with better and refined outcome. They learn to collaborate and work together, apart from collaboration the social interaction helps students to feel less isolated and they learn to develop a social network which brings the school environment at home. In the process of learning, sharing and interacting students also learn the technical skills which are essential in the modern workplace, students are getting a chance to learn these important skills in a risk-free setting of the class.

While the advantages of social media tools in classrooms are bountiful yet it had its own negative outcomes. While social media tools can be a great source of knowledge sharing, interaction it can also be distracting to students since they can easily to loose hours together browsing through irrelevant photos, videos, and tweets which can reduce their time spent on educational tasks, there is a high probability of students developing poor writing skills and the use of text speak in their assignments. The biggest concern of using social media in classrooms is Student safety and privacy. As our fellow classmate, Ryan talks about it in his post students may not be fully equipped in protecting their personal information while posting on social sites and that too in academic settings which could leave them to open judgments. As an educator we cannot simply introduce them to social media without educating them how to be safe and protect their personal information, it is our primary duty that we educate them about online safety by providing them proper resources that will enable them to educate themselves about online safety.

Safe Web Surfing: Top Tips for Kids and Teens Online

 

Technology is a wonderful thing, it has brought bright minds together and broken down all the barriers, while technology has delivered greatest achievements in the recent years it has its downside too, the world of technology is a boon to students and can also be dangerous if not used properly.

As an educator we could stick to few plans to keep students safe online, we can create private learning communities for our self and our students and stick to it to keep them as safe as possible, getting parents involved will also be a good idea and finally it is our responsibility as an educator to practice what we preach .

Thank you for your time in reading my post

Sapna Bajantri


Making Mathematics simpler and joyful – Magic math

A journey in EC&I 831 to make Math easy for everyone.

image via Aloha

Hello Everyone

This is indeed the stepping stone and I am so excited to be part of “EC&I 831 – Fall 2017 Social Media & Open Education” which has enthused to share my Love and Passion for Mathematics.I have always been fascinated by my mathematical studies and having a flair for the subject. I would call this as journey of learning and knowledge sharing.

My topic for this blog is “Math with Magic”, this magic happened when I was in grade 8th of my schooling where I was struggling to make complex mathematical calculations, whenever I was supposed to make complex calculations like multiplication of five digits or more I used to take a minimum of 5 to 10 minutes and I wished I had a calculator and it was allowed in school,  trust me I started loathing it. This was until when I was introduce me to Vedic Math (I call it as Math with Magic) by using this logic I could do it with in 30 seconds.

As  a mathematics lecturer I have handled students from secondary education to undergraduate studies and one thing that I have noticed in my students is the fear of mathematics, right from the grade 1 to 12th the students are bombarded with the mathematics syllabus containing arithmetic, algebra, geometry they are taught to solve the mathematical problems with standard techniques and not by logic and shortcuts .

In vedic mathematical system complex math problems can be easily solved using vedic method .For example can you multiply 7658426 x 9999999 or find a square root of 99975 or a cube root of 438976 in 30 seconds ? Without using a calculator? No ? , but I say yes it is possible and trust me its easy and the method is simple , one will love mathematics with this methods and by the end of this course am sure you will say “MATH IS FUN AND EASY “

What is vedic math

image via India today

Vedic Mathematics is the name given to a supposedly ancient system of calculation which was “rediscovered” from the Vedas between 1911 and 1918 by Sri Bharati Krishna Tirthaji Maharaj (1884-1960). According to Tirthaji, all of Vedic mathematics is based on sixteen Sutras, or word-formulae. For example, “Vertically and Crosswise” is one of these Sutras. These formulae are intended to describe the way the mind naturally works, and are therefore supposed to be a great help in directing the student to the appropriate method of solution. None of these sutras has ever been found in Vedic literature, nor are its methods consistent with known mathematical knowledge from the Vedic era.

Perhaps the most striking feature of the Tirthaji system is its coherence. The whole system is 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 arithmetic easy and enjoyable, and it encourages innovation.

Difficult arithmetic problems and huge sums can often be solved immediately by Tirthaji’s methods. These striking and beautiful methods are a part of a system of arithmetic which Tirthaji claims to be far more methodical than the modern system. “Vedic” Mathematics is said to manifest the coherent and unified structure of arithmetic, and its methods are complementary, direct and easy.

The simplicity of the Tirthaji system 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. Pupils can invent their own methods; they are not limited to one method. This leads to more creative, interested and intelligent pupils.

Interest in the Tirthaji’s system is growing in education, where mathematics teachers are looking for something better and finding the Vedic system is the answer. Research is being carried out in many areas including the effects learning the Tirthaji system has on children; developing new, powerful but easy applications of these Sutras in arithmetic and algebra.The real beauty and effectiveness of the Tirthaji system cannot be fully appreciated without practicing the system. One can then see why its enthusiasts claim that it is the most refined and efficient calculating system known.

“Vedic Mathematics” refers to a technique of calculation based on a set of 16 Sutras, or aphorisms, as algorithms and their upa-sutras or corollaries derived from these Sutras. Its enthusiasts advance the claim that any mathematical problem can be solved mentally with these sutras.

Source

LEARNING PLAN

Based on the logic and the methods of vedic math we will learn by using a lot of information which is available online , I will be sharing videos from social media, online communities videos, text resources and will be writing blogs to support the videos so that learning to solve complex mathematical problems in a simple way will be fun and exciting.

Thank you for your time in reading my blog.

Sapna Bajantri