Monday, 12 November 2012

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Montessori Activity: Introduction to Decimal Quantity - Beads & Number Cards



I "paid" J $1000 and he "sold" me the thousand cube
AGE: 4 - 4.5 years old (after mastery of Counters & Cards and Introduction to Decimal Quantity - Beads)

OBJECTIVE(S):


1.     To provide a sensorial experience in explaining the differences between one and thousand in terms of size and weight, thereby making concrete the concept of decimal quantity.


2.     In the process to familiarize the child with the names of the different categories.


3.     To acquaint the child with the written symbols for the decimal quantity.


MATERIALS:
1.     1 set of Large Number Cards 1, 10, 100, 1000
2.     1 of each bead material: unit bead, 10, 100, 1000.
PRESENTATION:
1.     Cards - Name the Large Number Cards and show there they are kept.
2.     Take out 1, 10, 100 and 1000 cards.
3.     Introduce the cards as “one unit”, “one ten – with one zero”, “one hundred – with two zeros” and “one thousand – with three zeros”.
4.     Take out Card 1 and ask the child what it is.
5.     Take out Card 10 and ask the child what it is.
6.     Notice how many zeros are in the number 10.
7.     Repeat for Cards 100 and 1000.
8.     Bring your child’s attention to the color coding of the cards.
9.     Do a Three Period Lesson, each time highlighting how many zeros are in the number.
10.  Beads - Ask your child to bring the Decimal Demonstration Tray with beads.
11.  Start by taking out the 1, 10, 100, 1000 beads from the tray and name them.
12.  Take the Numeral Cards and ask the child to see if he remembers or not.
13.  Match the golden beads with the numeral cards below them respectively, naming them 1, 10, 100 and 1000 accordingly.
14.  Put back the golden beads into the demonstration tray, repeating their respectively name as you go along.
15.  Put back the cards repeating their respectively name as you go along.
16.  Invite the child to try.
TIPS:
Make it interesting by playing “The Shopping Game”: Pretend that the Number Cards are money to buy the beads. Show him “money” Card 1 and ask him what you can buy with it. He should give you the unit bead in exchange. Show him “money” Card 10 and ask him to give him the bead that you could buy with the “money”. He should give you a ten-bar. Repeat the same for the Card 100 and Card 1000.
VIDEO DEMONSTRATION:
CONTROL OF ERROR:
1.     One of each quantity is provided.
2.     One of each symbol is provided.
3.     The size of the concrete quantities and symbols.
ADDITIONAL INFORMATION:
In continuation from yesterday, J (3Y8M7D) tried this today. He enjoyed very much walking one round with each of the category of beads. It got a little monotonous teaching the Number Cards… and I got a little sad :-(. Then an idea came to my mind. Hey, J loves to play the shopping game with his cash register. Why not use the same concept and pretend that the number cards are money! I made it into a “Shopping Game”. The Number Card 1 became $1, the Number Card 10 became $10, the Number Card 100 became $100 and the Number Card 1000 became $1000. That gave an about turn and he was very eagerly playing the game, and learning the name of the number as well as recognizing the numbers in a more determined way. Thank God, thank God, thank God. I really can’t thank God enough for the timely idea that came to my mind.
I discussed it with Daddy and we agree that J is probably too young to understand the concept of 1000, but I think that it gave him an idea of what it is. After all, this is what the activity aims to do - to provide a sensorial experience. The full understanding will come later with more experience and age. This will help him to build on his basic understanding until the day he is ready to put all into a full picture. The most important thing is that J was interested and having fun with the “shopping game” using Number Card and Beads.
REFERENCES:

I bought our demonstration tray from Kidadvance.com, but it is also available from Amazon:



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J's Lunchbox


J's lunchbox consists of pear, potatoes, blanched broccoli, carrot, cheese stick as snack, millet with green peas and salmon and grapes

Sunday, 11 November 2012

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Montessori Activity: Introduction to Decimal Quantity - Beads




AGE: 4 - 4.5 years old (after mastery of Counters and Cards)

OBJECTIVE(S):
1. To provide a sensorial experience in explaining the differences between one and thousand in terms of size and weight, thereby making concrete the concept of decimal quantity.

2. In the process to familiarize the child with the names of the different categories.

3. To acquaint the child with the written symbols for the decimal quantity.

MATERIALS:

1.     1 tray containing 1 unit golden bead, 1 golden ten-bar (10), 1 golden hundred-square (100) and 1 golden thousand-cube (1000)

2.     1 mat

PRESENTATION:

1.     Name the Decimal Demonstration Tray and show there they are kept.

2.     Take the unit, feel it, and bring the child’s attention to the size, say: “This is very small.”

3.     Encourage the child to feel and explore it.

4.     Tell the child: “This is one unit”.

5.     Have the child walk one round with a unit bead in his hand with great care and encourage the child to repeat its name.

6.     Take the ten-bar, feel it and say: “This one feels different from the unit.”

7.     Encourage your child to feel and experience it.

8.     Place it vertically to the left of the unit and say: “It is made of units. Let’s count how many.”

9.     Count with the child the number of units in the ten-bar.

10.  Tell the child: “This is called ten.”

11.  Have the child walk one round with a ten-bar in his hand and encourage the child to name it ten.

12.  Take the hundred-square, feel it and bring the child’s attention to the size, say: “This one feels bigger than the ten-bar.”

13.  Encourage the child to feel and experience it and place it to the left of the ten-bar, say: “In this one, we have many tens. Let’s count how many tens we have.”

14.  Count with the child the number of ten-bars in the hundred-square: “1 ten, 2 tens, 3 tens, 4 tens…. 10 tens.”

15.  Tell the child: “We call 10 tens - hundred. There are ten tens in one hundred.”

16.  Have the child walk one round with a hundred-square in his hand and encourage the child to name it hundred.

17.  Take the thousand-cube, feel it and bring the child’s attention to the size, say: “This one is very big and heavy.” Bring the child’s attention to how many hundreds we have in the thousand-cube.

18.  Encourage the child to feel and experience it and place it to the left of hundred-square.

19.  Count with the child: “1 hundred, 2 hundreds, 3 hundreds… 10 hundreds”.

20.  Tell the child: “We call 10 hundreds – thousand. There are ten hundreds in one thousand.”

21.  Have the child walk one round with a thousand-cube in his hand and encourage the child to name it thousand.

22.  Do the Three Period Lessons by naming: “unit, ten, hundred and thousand” pointing respectively to the objects.

23.  Say, “Show me 100,” or “Show me unit,” or “Show me thousand”.

24.  Repeat until the child has a good grasp of the names of all four.

25.  Then point to the unit and ask: “What is this?” and the child should say unit for example.

26.  End by having the child walk one round carrying very carefully the demonstration tray with the materials.

VIDEO DEMONSTRATION:


ADDITIONAL INFORMATION:
J (3Y8M6D) tried this today. He found it most fun to walk one round with each of the decimal quantity. I tried to do it in English, but could feel that he learns better and pays more attention if I use Chinese. So I repeated the whole lesson to him in Chinese. It is not easy doing bilingual Montessori.

I think he is still grasping the concept of hundred and thousand, but it gives him some kind of idea. So I will repeat this in another way in our daily life if possible.

REFERENCES:

11.11.2012 - Joshua happily doing the "quiet walk" around with the thousand cube

C tried it on 12 November 2019 (3Y5M26D) for the first time. She enjoyed it, walking one round with the beads. But she didn't want to repeat it, and also to move on to the Montessori Memory Game tray on the shelf, which was distracting her.... aarrgghhh But she enjoyed it very much, and I think she was learning what quantity is all about, how one differs from thousand, how thousand is much heavier than one, and what they are called in Chinese. Similar to J, I did this activity with C in Mandarin.

  






I bought our demonstration tray from Kidadvance.com, but it is also available from Amazon:


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Montessori Activity: Home-made Numbers & Counters - Odd & Even Numbers



AGE: From 4 years old (after The Spindle Box has been introduced)

OBJECTIVE(S):

1. To reinforce the knowledge that each number is made up of separate quantities.

2. To reinforce the sequence 1 – 10 and how many separate units go to form each number.

3. To introduce the concept of odd and even numbers.

4. To provide indirect preparation for divisibility of numbers.

MATERIALS:

1. 10 numeral cards (1 – 10)

2. 55 counters of the same color.

3. A straight edge.

PRESENTATION:

Day 1: Cards

1. Name the Numbers and Counters and show where they are kept.

2. Ask the child to lay out a floor mat.

3. Lay out the number cards randomly on the mat and have the child say the numbers out loud.

4. Arrange the number cards in numerical order by saying: “Give me Card 1” and have the child put the Card 1 down. Repeat for the other cards until all the cards are laid out in numerical order.

5. Point to Card 1 and ask: “How many counters should you place under this card?”

6. The child should answer 1 and give you a counter.

7. Put the counter below Card 1 and ask the child to count the counter. Ask: “What comes next?”

8. Repeat for the other numbers placing even numbers in pairs and placing the odd numbers with the last counter under and to the middle of the pair until the child understands. (See diagram above)

9. Explain the concept of odd and even numbers: even numbers are those you can find a friend for each of them two-by-two; odd numbers are those with one left alone and has no friend :-(

Day 2: Odd and Even

1. The child constructs the Numbers and Counters from Day 1’s presentation.

2. Run the tip of your index finger down the middle of each column of pairs; for each row in which your finger strikes an unpaired counter at the end of the column, move the card a little above where it was.

3. Tell the child that the numbers which does not have a friend (i.e. an unpaired counter) are “odd” numbers, because you cannot divide it when you draw your finger down (你不能分割ge3), by saying: “This one does not have a friend, so it is an odd number.”

 
1. Repeat for counters 2 and after you have run your finger through the two counters, tell the child that the numbers with a friend standing two-by-two (i.e. pairs of counters) are “even” numbers, because you can divide it by saying: “This one has a friend, so it is an even number.”

2. Have the child repeat for the remaining counters.

3. Do a Three Period Lesson for odd and even.

4. Once the child is finished, look at all of the cards that are slightly higher than the others (cards 1, 3, 5, 7, 9) and tell the child that these are odd numbers (Stage 1)

5. Point to the other cards (cards 2, 4, 6, 8) and tell the child that these are even numbers (Period 1)

6. Repeatedly ask your child to find one that is odd or even or ask your child whether a particular number is odd or even (Period 2).

7. Point to a number and ask: “What is this?” (Period 3).

VIDEO DEMONSTRATION:


CONTROL OF ERROR:

1. The correct number of counters and numerals are provided.

2. Visual image of the pattern of the counters.






NOTE:



1. Introduce this activity in parallel with the spindle box.



2. On day 1, you put out the pattern until the child get it, and you may stay longer to see if the child need help.



ADDITIONAL INFORMATION:

Joshua (3Y7M10D) tried this on 15.10.2012 and 17.10.2012.
REFERENCES:
http://amzn.to/26fCt07


Updates 11.2.2013 (3Y11M6D):

We repeated this activity today and J was getting better in grasping the concept of odd and even numbers. He was also better in arranging the counters in pairs than before.


Updates 21.4.2020 (3Y11M5D):


C tried this activity for the first time today. She could do it by herself from 1 - 4. She needed some help with no. 5. She could put them in pairs, but it wasn't consistent.





Friday, 2 November 2012

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Food-for-Thought on Parenting and Life - Memoir of Dr. Richard Teo

I run and I run... I strive and I strive... I achieve and I achieve... I get better and better... but alas... I can't stop... the gift of determination and single-mindedness alas is a double-edged sword... to the detriments of other things in life...

As I sat awoke in the middle of the night... to organize my thoughts... God sent timely reminder from the memoir of the late Dr Richard Teo Keng Siang, a young Singaporean millionaire surgeon, who died this year... who had it all - brain, ferrari, lands and all...

Do take time to read his memoir... may we all learn something from it so that his death is not in vain...

http://www.heavenaddress.com/Dr-Richard-Teo-Keng-Siang/424153/379719/content

Here is a video:

http://www.youtube.com/watch?v=rLFzJntPDCs&feature=related

The memoir of Dr. Richard Teo has lessons to be learned on the parenting front. It made me reflect and reassess my parenting goal and direction.

My goal is to raise Joshua up to be a man after God's heart. But along the way, the pursuit of excellence and academic preparedness can crowd out everything else very subtly and quickly, keeping me from getting the order of things right. It ironically becomes a stumbling block to my goal.

I put a lot of emphasis in implementing Montessori - devoting all my spare time, energy and with single-minded concentration. Montessori is a good thing. Maria Montessori herself is a Christian. But nothing should replace the position of God in our lives. For what good is it to have the most developed brain without the love for God, without the love for people, without empathy and without the true meaning of life?

What I have learned from Dr. Teo's sharing:

1. It is more important to learn how to handle success than to have success

I should constantly check and remind myself that my aim for Joshua should not be to have success in life. For Joshua will have both successes and failures in life - that is the fact of life. But what matter is how he handles both successes and failures. It is a higher skill to be able to handle both success and failure well in a godly manner. For success without God is not a blessing, but a stumbling block.

2. The goal of life is to love God and to love others - love sums it all up

My aim is to pray and guide Joshua to develop a personal relationship with God, so that he will come to know Christ. It is not knowing about God, but knowing God.

Love - what does loving others mean?

It means:

- helping others in need (the story of the Good Samaritian is Jesus illustration of helping others to us)
- having empathy
- putting yourself in others' shoes
- lending a listening ear
- considering the interests of others before your own
- accepting differences
- overlooking an offence

3. I need to be a conscious role model

Have I achieved for myself the goal that I set for Joshua - To love God and to love others? No. How often have I lost my cool with people who are different from me, with people who fall short of my standard? I have no patience for incompetent and inefficient people at all. Have I showed grace? No. How many times have I wanted my own way? Way too often. Have I showed love? No. Yet I do it again and again.

For how can I look into Joshua's eyes and teach, if I have not achieved it myself? For a student can only be as good as the teacher.

I need to have more resolve.

I can only fall to my knees and pray, "Dear God, Have mercy on me. Help me to put right my actions to be in line with my goals."

I am willing to change. It is a reminder for me to make conscious effort to change. It is not easy and I cannot change without the help of God. I cannot change overnight. It will be a journey. Everyday is a new day to try again. I thank God for the gift of life that allow me to make changes. I thank God for His timely reminder. I thank God for accepting me as I am. I thank God for walking alongside me as I embark on making difficult changes. I thank God for His grace and mercy. I thank God for his forgiveness everyday.

In summary, life sums up in one sentence:

Love God and love others.

This is the most important goal. It comes with daily reflection, resolve and self-appraisal at the close of the day to get the order of things right. Character comes before academic. And character-building starts from me - the parent, not the child - Joshua.

I will continue to run and run... strive and strive... at loving God and loving others. May I get to finish the race well.

The Word of God says:

"But seek first His kingdom and His righteousness, and all these things will be given to you as well." Matthew 6:33

"On one occasion an expert in the law stood up to test Jesus. “Teacher,” he asked, “what must I do to inherit eternal life?” “What is written in the Law?” he replied. “How do you read it?” He answered, “‘Love the Lord your God with all your heart and with all your soul and with all your strength and with all your mind’; and, ‘Love your neighbor as yourself.’" - Luke 10:25-37

More links:

http://beyondsundays.wordpress.com/2012/11/03/dr-richard-teos-story-is-more-than-a-reminder-it-is-gods-wake-up-call-for-the-church/

http://www.byestella.com/wisdom-from-a-dying-man/
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