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How to Explain Fractions to A Child?

How do you introduce your children to fractions? To do so, we will begin with a story. Please grab an apple, and a knife, and tell your children the following story. Ask him/her to cut the apple as the story evolves. Helpful tip, I encourage you to change the names of the children in the story to the names of friends of your child. Have a pen and paper to write down the names of his friends so he/she can distribute the pieces between his friends.

The story was taken from the book The Teaching of Arithmetic and the Waldorf School Plan by Hermann von Baravalle, Ph.D

apple

Picture from Hometown Harvest.

Have an Apple!

Melinda came to school with an apple. She was just about to eat it when Christopher arrived and saw it. She wouldn´t keep it all to herself so she cut it into two pieces and gave half of the apple to Christopher. Just then Jeanne and Ralph came in. Melinda and Christopher cut their halves in half. At that time the apple was in 4 pieces. Each person had one-fourth. Before they could eat the fourths, Donald, Lisa, John, and Linda came in. Now the fourths were cut in two and there were eight pieces for eight children. The apple had been divided into eighths that were about to be gobbled up when Claude, Francis, Erich, Olivia, Miriam, Max, Michaela, and Hilary busted into the room. Now they had to cut each of the eight pieces of apple in two, to make sixteen pieces, very tiny, each piece being one-sixteenth of the apple. They were all so small.

Before, there was one piece. Now there were sixteen pieces; but though 16 is a larger number than 1, each piece was smaller, by far, than the 1 apple.

We started with one apple. To share it, we cut it into 2 equal pieces.

fractions

Each piece is one-half of the apple. As the 2 halves of the apple make one whole, they are related to the whole by the number 2 but we have to allow that 1 is divided into 2 pieces.

fraction in two

What would be a good way to show that in writing? We can use the knife-cut line as a divider line and if we write it, it could read «1 divided by 2» or «one half».

learning math

Now you are ready to teach your child how to add fractions!

Guiding Children to Solve Problems

What is the role of adults in the lives of children?  Many times we wonder about this. How are we disciplining them when they do not make the right choice?  Here are some tips suggested by «Love and Logic Institute» an entity created during the early 1980s to research the area of discipline and behavior management.

Love and logic

Power is a major issue between children and adults.  While still very young, some kids realize they don’t have much control over anything.  A toddler unconsciously thinks, «I’m the smallest. They tell me what to do, and I don’t get to make decisions. I need to find a way to get some control.»  Then, winning the power struggle becomes all-important, more important than making good decisions.

When we offer children a choice instead of making a demand, no power struggle ever begins.  When we make a demand, we make the wise choice, leaving the child with only one way to win the power struggle, by making a fool choice.  Given a range of choices, a child will have endless opportunities to choose wisely in the future.

  1. Always be sure to select choices that you like.  Never provide one you like and one you don’t, because a child seems to have a sixth sense in selecting the one you don’t like.
  2. Never give a choice unless you are willing to allow the child to experience the consequence of that choice.
  3. Never give choices when the child is in danger
  4. Never give choices unless you are willing to make the choice for the child in the event he/she does not choose within ten seconds.
  5. The way you present the choice is important.  Try to start sentences with:
  • You’re welcome to _______ or _______.
  • Feel free to ________ or ________.
  • Would you rather ________ or ______?
  • What would be best for you ______ or _______?

Children learn from their mistakes when:

  • They experience the consequences of their mistakes; and
  • Adults in their environment provide empathy

Bad choices have natural consequences.  If David fails to wear a coat, he gets cold.  If Jan misses the school bus, she stays home with an unexcused absence for the day.

As adults we are tempted to scold and reprimand, but may be surprised to learn that children actually learn best from consequences when adults empathize:

  • «I’m sorry you’re cold, David»
  • «What a bummer that you missed an after-school party on the day you were absent, Jan»

If adults reprimand them, children may transform sorrow over their choice into anger with the adult, and the lesson may be lost.

If adults express sorrow, children have a significant learning opportunity.  David may think, «Tomorrow I’ll wear a coat.» Jan may decide, «I’ll get up fifteen minutes earlier tomorrow.»

These are a few tips to consider this week.   Start by trying to implement them. Little by little you will see the transformation in your child’s behavior.    Next week’s article will address more issues and will give you more tips to build a stronger discipline plan to help you guide your child.   

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