HAPPY HOLIDAYS!

Christmas is fast approaching. Christmas trees, lanterns, carols and Christmas ornaments are everywhere. The cool breeze of the air signifies the season of joy, peace and love. A celebration for the birth of our savior Jesus Christ. 

REALM of MATHEMATICS and LEARN AT MATHEMATICS REALM would like to greet all of you a happy holidays!!! 

Read More

BLOG ACTION DAY 2013

 "I just registered for Blog Action Day October 16, 2013. Join me and take part in a huge global discussion http://bit.ly/OtyYtE #BAD13"

Blog Action Day is a free event for bloggers, social media users, vloggers, podcasters, designers, infographic and data producers.

Blog Action Day is the one day of the year where thousands of bloggers, from all over the world can work together to focus on one important global topic, and help raise awareness and money for charities and social causes.

                    - from http://adv.blogupp.com/clickcaf85dc9-0aa3-4b46-86af-57da8836b9db103194671

Just visit www.blogactionday.org. You can register here. 

Read More

MATH ARTS 4

Here is another Math Art I have made using the picture of a building in Central Jakarta. Here is the original photo of the building:

Another variation of the photo is here: 

Both pictures are formed by symmetrical transformations of the original photo.

What can you say about the result? 

Your comments and suggestions are welcome here. Write them in the comment box below.

Thank you  

Read More

MATH QUOTES 1

This is one of the best quotes about mathematics. It tries to integrate math to real life by using basic terms such as add and subtract.

On the other hand, there is a contradiction on the idea that every problem in math has a solution (because some problems may have no solution). Looking deeply, eventhough there are NO SOLUTIONS in math, still it is the ANSWER to the problem. What is important is that there will always be an answer!

I want to hear your ideas about this quote. Share them here. Write them in the comment box below. 

Thank you!  

claimtoken-520b092d717b2

Read More

MULTIPLES OF 9 PATTERN

Let us recall the multiples of 9. 

Do you notice any pattern of the multiples? That is of course aside from the pattern of having 9 added to previous entries. To make it easier for us to look for patterns, let us separate the digits of the multiples.

Now, let us look at the leftmost digit of the multiple. Do you see any pattern now? Have you notice of any relation of the digits from the topmost until the bottom?

If you notice, the digits are in ascending order from 1 - 9. A very simple pattern.

Let us look at the rightmost digits. Do you see any pattern?

I know you have noticed that the rightmost digits are arranged in descending order from 0 - 9.

If we combine the patterns:

This applies to the next multiples of 9. A very simple patter that you could teach your students, friends, brother or sister. Hope you like it. 

Your comments and suggestions are welcome here. Just write them in the comment box below. Thank you! 

Read More

MATH ARTS 3

This is the second part of the figures being formed from symmetrically rotated and transformed famous mall in Jakarta.

The figure for me resembles a sad face of a clown. The street light post serves as the lips of the clown. The logo of the mall serves as the eyes. Here are the variations of the figure:

In your perception, what is in the figure? How does it look like?

Your comments and suggestions are welcome here. Write them in the comment box below. Thank you!
 

Read More

NUMBER PUZZLE 2

Here is another number puzzle. I'll tell you how to answer the first one then try to do the other by your own. Here is the first one:

Let us try to decipher the pattern for the numbers.

In this number puzzle, try to focus on the results. For the first statement, if you notice, 1 is already the first digit and also the last digit. The middle digit, which is 2, comes from the sum of the two numbers.

For the case of 1 + 2, 1 is the leftmost digit but is not the rightmost digit. That means the pattern that we got in the first statement is not true to all the statements. 

The only problem is how to make 2 to 4. We can multiply 2 by 2 and get 4 or square 2 to get 4. 

Let us apply that with the first statement. The square of 1 is 1. This is applicable to both statements now. 

Let us study the third statement. We cannot just copy the first number for the leftmost digit. They are not equal. 

What is we square the first number? Let us check if all the digits are satisfied with the pattern that we got.

. 

Let us also see if it is applicable to the first and second statements.

Yes, both statements are satisfied. How about the fourth statement?

Now that all statements are satisfied, let us generalize the pattern for all the statements. Take note that the pattern would be:

Now, let us apply the pattern to the last statement to find the missing number.

Therefore, 

It is now your turn to do same process. The following puzzle is similar to the one I presented above but there will be a slight difference. It's your turn to find the pattern. 

Goodluck! Hope you learned something from this... :)

Your comments ans suggestions are welcome here. You may write them in the comment box below. Thank you!

Read More

MATH ARTS 2

The picture above seem to look like a head of a frog or a snake or the front part of a boat. It depends on how you see it.

The image actually came from a simple photo of a prominent mall in Jakarta, Indonesia. Here is the photo:

The photo was symmetrically rotated and transformed into a new figure like the first image above. I have also added colors and some effects on the images. As you can see in the original picture, there is a street light post. In the image formed, it became a decoration on the upper part. The logo of the mall in the original picture became the eyes of the frog or snake in the image formed. The building on the left side of the mall became the platform in the lower part of the image. 

I have also created a variation of colors for the image. Here they are:

   

Hope you like them all. Try to do the same process to your photos and you will see amazing results, too.

Your comments and suggestions are always welcome. Write them in the comment box below. Thank you!

Read More

MATH ARTS 1

This is one of my work of art, if it is considered as one. I made this using an application in my mobile phone.

The image is being formed by using varying sizes and colors of circles. The figure formed resembles a pitcher plant or lilies. The white in the middle part represents the stigma of the flower. If you know a flower that looks like these, you may write it in the comment box below.

I actually have a collection of the images I created similar to this. I'll share them to you one at a time. Hope you like it.

You may save and use the image in your works. Just make sure to link it back here. Thank you!

Read More

NUMBER PUZZLE

Here is a simple number puzzle. At first, it looks complicated but upon looking for patterns, the puzzle seem so easy. I'll teach you the first one, then answer the other one. 

To solve this number puzzle, look for any relation of the numbers. Check if there is a possible relation of adjacent numbers, etc.

In this puzzle, the numbers in the first column are consecutive numbers. For the second column, notice that 3 is next to 1 and 2 in the first column. The number 3 is also the sum of 1 and 2. If you check the next number in the second column, 5 is the sum of 2 and 3 in the first column. You may continue checking for the pattern. Make sure that the pattern applies to all the numbers. Therefore the missing numbers in this puzzle are 7 and 20.

Now it is your turn. Try to decipher the missing numbers in the following puzzle:

You may write your answers in the comment box below. Good luck!

Read More

BIG NUMBER PUZZLE

This big number puzzle is based on the original puzzle by Dr. Francis O. Googol, a mathematician. Originally, the puzzle is to create a very large number using the numbers/symbols 1 2 3 4 ( ) . and - .

Let us have a modification of the puzzle. This time, let us create a very large number using the numbers 1, 2, 3 and the symbols (  ) + and - only once.

\

Let us see who could create the largest number possible. Write your answers in the comment box below.

Read More

CUBE COUNTING 2

This is the second part of the CUBE COUNTING PUZZLE. The first part could be found here. It is a very simple puzzle but it test your spatial ability as well as your patience in counting the cubes. 

Here is another figure consisting of cubes. How many cubes are there? 

Write your answers in the comment box below. Good luck!

Read More

LEARN AT MATH REALM

A new blog is born - the "Learn at Mathematics Realm" blog! This is an extension of this blog. This new blog provides information, lessons, tutorials and resources for students and educators. This encompasses various topics from different areas of mathematics.

I hope you will also follow this new blog of mine. Thank you for your continued support!  

Read More

HOLY WEEK 2013

A simple mathematical statement but means a lot. May this statement remind us of the true meaning of the Holy Week - not just a vacation. We should realize the LIFE and LOVE that God has given us.

As the bible says "For God so loved the world that he gave his one and only Son, that whoever believes in him shall not perish but have eternal life" (John 3:16).
We should repent and ask for forgiveness. "Repent, then, and turn to God, so that your sins may be wiped out, that times of refreshing may come from the Lord" (Acts 3:19) 

And with this we should pray. "This, then, is how you should pray: " 'Our Father in heaven, hallowed be your name,  your kingdom come, your will be done on earth as it is in heaven.  Give us today our daily bread.  Forgive us our debts, as we also have forgiven our debtors.  And lead us not into temptation, but deliver us from the evil one. '  For if you forgive men when they sin against you, your heavenly Father will also forgive you.  But if you do not forgive men their sins, your Father will not forgive your sins" (Matthew 6:9-15).Amen. 
Have a safe and meaningful Holy Week to all of you! 

<a href="http://www.bloglovin.com/blog/6552021/?claim=5m5nb6yy96x">Follow my blog with Bloglovin</a>

Read More