Traditional Culture Encyclopedia - Photography major - Can reading mathematical picture books to children cultivate mathematical thinking?
Can reading mathematical picture books to children cultivate mathematical thinking?
Some people say that whether a child likes, hates or fears mathematics is mostly caused in the early childhood stage. Although this statement is exaggerated by early childhood education institutions, there is indeed a "mathematics sensitive period" when children are young. At this stage, if parents can provide guidance, children will be more likely to like abstract thinking in mathematics, thereby developing logical reasoning abilities.
After consulting some professional information, we also learned some knowledge about the sensitive period of mathematics. Here we combine 20 picture books on mathematics to share with parents.
0-2
Babies aged 0-2 read math picture books: the unconscious right brain directly reflects the thinking characteristics of babies before the age of 2
Since birth, babies have entered the budding stage of mathematics. Babies before the age of 2 mainly form their own mathematical perceptual experience by perceiving the number, quantity, and shape of things. These experiences are often concrete representations. During this period, children's understanding of mathematics is basically a direct reflection of their unconscious right brain behavior.
Recommended for 0-2 years old babies
Mathematics picture books
For babies before 2 years old, just let them know that there are numbers. At this age Most babies are not aware of the true meaning of numbers, so when reading with your baby, you don’t have to deliberately emphasize the meaning of the numbers. Treat the numbers as part of the story, and just guide the baby to pay more attention to the story itself.
Here are two digital picture books for young children, which can be used as a reference for those with young babies.
1. "
9 Kittens Huh-Huh-Huh-"
The plot of this book is very simple: 9 kittens are sleeping , Huh-huh-huh-. Bang, a kitten opened its eyes and then disappeared. Alas, the two kittens opened their eyes and then disappeared again... Each time a different kitten woke up and then disappeared. In the end, all nine kittens were gone. Where did they go? It turned out that he ran to his mother’s arms to drink milk!
Although it is listed as a mathematics picture book, this book is not boring at all for a one or two-year-old baby. From the beginning of the story, the child's emotions are closely connected with the kitten. By observing the kitten's eyes opening or closing, the baby can point out which kitten is awake and which kitten is sleeping. Discovery, search, and finally the happiness of nine kittens and their mother cat together...
In this book, babies can have a preliminary understanding of numbers and colors, and at the same time, this is This is a picture book that combines Chinese and English. Moms who want to teach their babies English can also pay attention to it!
2. "Ten Fingers and Ten Toes"
Actually, this book is not a mathematical picture book in the true sense, but more like an emotional book full of love. picture book. It only involves three numbers in the whole story - a baby was born, and in a distant place, another baby was born. The "two" babies also have "ten" fingers and "ten" "A toe. There are more babies born in different areas one after another. Their skin, hair, and clothes look different at all, but they all have "ten" fingers, "ten" toes, and "three" A mother's kiss on the little nose.
Precisely because the book does not involve specific numerical concepts, babies before the age of 2 can receive story messages very well. While feeling deep love, if the baby can know that he has ten Fingers and ten toes, that’s almost perfect!
2-4
Reading math picture books for 2-4-year-old babies: the period of transformation from right-brain mathematics to left-brain mathematics
Thinking characteristics of 2-4-year-old babies
< p>After the baby reaches the age of two, the concept of numbers begins to sprout. What is the concept of numbers? For a child around two years old, the simplest and most direct concept is to know the difference between more and less, big and small. For children of this age, knowing that 6 is greater than 3 is far more meaningful than knowing that "6-3=3".At about 2 and a half years old, children will enter a sensitive period of active counting. This period is the period of transformation from right-brain mathematics to left-brain mathematics.
Recommended for 2-4 years old
Babies aged 2-4 years old are in the sensitive period of counting. After the baby understands the concept of numbers, the practice that needs to be strengthened is counting.
Counting can be done anytime and anywhere in daily life, such as counting cars on the road, counting stairs when climbing stairs, or counting how many fruits there are when dividing fruits... Of course, we can also count when reading with the baby. Counting, here are 10 picture books recommended for babies of this age!
Picture books to help children learn to count
1. "First there is an Apple"
This is a very classic number picture book that tells a fun story The story of counting: First there is an apple, two worms come out of it, three birds want to eat those worms, four hunters hunt those birds... The book vividly expresses the numbers from one to ten through interesting pictures. The concept of space numbers, and there are "ten" different animals waiting for your little one to get to know!
2. "The Perfect Puppy Apollo: I Can Count"
Apollo is a very interesting dog through which children can learn to count from 1 to 10 : Apollo has 1 tail and 2 ears. If it has 3 legs, it cannot run, so it has 4 legs... In addition, Apollo will also use his body to make numbers from 1 to 10. It's amazing, isn't it? And Apollo can also change colors! If you want your baby to know numbers and colors, you can take a look.
3. "Count and Kiss"
As you can see from the title, this is a warm and emotional picture book. That's right, the baby is crying before going to bed, and the mother says, baby, do you want a kiss? So, ten kisses were placed on the little toes, nine kisses were placed on the little feet, and eight kisses were placed on the little knees... At the end of the story, the baby fell asleep in the sweetness of counting kisses! This is also a picture book for children to practice counting from one to ten.
4. "A Rainy Day"
The story takes place on a rainy day. 10 kinds of animals are hiding from the rain under the trees, 1 mouse, 2 porcupines, 3 buffalo... …No one’s clothes got wet when it rained, but when it stopped raining, their clothes got soaked. Why is this? I believe the children will smile knowingly after reading it. This book teaches children to count from 1 to 10 in the story, and at the same time, they can also learn about many small animals!
5. "
Little Ball Listens to Folk Music--Digital Song
"
The books published by Heying are very beautiful, and this one Books are no exception. In addition to the picture book with beautiful pictures, the book also comes with a CD, which contains traditional folk songs, such as "Five Finger Song": One, two, three, four, five, go up the mountain to hunt the tiger... Such nursery rhymes also contain many memories of our childhood. , you can relive it with your baby.
A fun and interesting number picture book
1. "Little Bo Can Count"
This is a fun game flipping book. Xiaobo can count from 1 to 10. His father takes him to count the animals on the farm. How many mice are there behind the sack? How many squirrels are there in the tree? How many ducks are there in the pond? ...Opening the folded pages one by one and discovering the secrets hidden inside should be the greatest joy for children reading this book! At the same time, this book is bilingual in Chinese and English. Mom who is concerned about English education can also pay attention to it.
2. "What Queue Is This?"
This book is fun and interesting. There are 50 kinds of animals queuing in the book. Their expressions and behaviors are very vivid, such as lions and The trembling zebra among the tigers, the drooling wolf and the sheep that dare not follow closely, the chimpanzees, orangutans, goats, etc. huddled together, the armadillos smoked by the skunk, etc... What are they doing in line? ? You won’t know until the end of the story, it’s absolutely amazing! In this book, children can learn the numbers from 1 to 50 and learn about many animals and their living habits.
3. "Go to bed quickly"
Has your family ever had a bedtime fight? Do you want your child to say "go to bed quickly"? If you want, just read this book: Kotaro, who couldn't sleep, started counting, 1 pig, 2 pigs, 3 pigs... 1 mother, 2 mothers... 1 monster, 2 monsters... ...In the end, 290 pigs, 101 mothers, and 75 monsters surrounded him at the same time. Kotaro couldn't help shouting, "Go to sleep quickly——"
Relatively speaking, the book itself is more like a sleep story This is a previous story, but counting is quite interesting as a way to coax sleep. In the future, you might as well let your baby count when he can’t sleep!
Picture books involving simple calculations
1. "The Missing Bear"
This book is also about numbers below 10, and has "subtraction" A simple calculation: Ten bears woke up from their dreams, one bear walked out, and the remaining nine bears took a bath in the stream... Each time one bear disappeared, how many were left? You can count and do the math with your baby!
2. "
Come on, 10 little monkeys
The protagonist of this story is the little monkey: 1 little monkey wants to eat bananas when they see them hanging high. , but "bump-bump" just can't reach it! A little monkey came over, but the two little monkeys were still out of reach. Three more little monkeys came, and now there are 5 little monkeys... One after another, the little monkeys came, and finally there were 10 little monkeys, but they were still out of reach... Finally, with the help of his father, the little monkeys We finally have bananas!
This book involves simple addition of numbers below 10. The design adopts a novel composition of vertical layout on opposite pages. The whole book uses orange as the background color. It is a very warm interpretation of the addition of numbers below 10. It is very interesting. Suitable for young babies to read.
When children are four or five years old, abstract mathematical concepts will gradually form in their brains based on their previous concrete and intuitive mathematical perceptual experiences. This period is usually called the "mathematical concept sensitive period". The specific manifestation is Children will suddenly become very interested in numerical concepts, such as numbers, quantities, order, number operations, physical characteristics, etc.
At the age of six or seven, children will usher in the "mathematical logic sensitive period", which is different from the "mathematical concept sensitive period". The main reason is that children are completing the tasks of numbers, names, After understanding quantity, I began to become interested in the sequence of numbers, concepts and the relationship between concepts.
At this time, the real left-brain calculation period has arrived. If children are properly guided to learn mathematical calculations at this time, children can gain a higher degree of mathematical recognition, and it will be easier to learn mathematics in the future.
Recommended for children aged 4-6
Mathematics picture books
Children in the sensitive period of mathematics will especially like their parents to study mathematics with them. In the Zhengzhou store of Dudou Bookstore, I once met a child over 5 years old. After reading a picture book about mathematics with his mother, he kept talking about mathematics problems with his mother: "Mom, give me another question. "Mom, what is one hundred million times one hundred million?" If your family is also in a mathematically sensitive period, the following books may help you a lot!
Picture book about the concept of numbers
"Where Are the Numbers"
We see numbers and use numbers every day. In this book, the author Taro Gomi lists many places where numbers are used in life, from home to vegetable markets and department stores, and then riding on the highway, when he sees children running on the sports field, playing baseball, and players in games, or I entered the classroom and found children doing various calculations with numbers...
This book focuses on guiding children to pay attention to numbers in their living environment, so as to gradually understand what numbers represent. meaning, let children experience the charm of numbers.
"Gilia Counting Stars"
The girl Gilia counts every day, counting what she sees: how many windows are there in the house, how many blocks are there in the yard There were stone slabs, a few steps on the stairs, a few oil flowers in the noodle soup, a few petals on the beautiful daisy... Her biggest wish was to count the stars in the sky, but she had never counted all the stars. What a frustrating thing!
In addition to being a digital picture book, this book is also a story about dreams. The girl Jilia worked hard for her dream. Although she did not succeed, she was always happy in the process of chasing it. of. The story of counting stars is actually a story of a child's growth.
《
100-story house
》/《
100-story house underground
Mention mathematics If you first think of picture books as boring, you are totally wrong. At least these two books, "House on the 100th Floor" and "House on the 100th Floor Underground", have nothing to do with boring, which is absolutely surprising. picture book.
Both books tell the story of children exploring a 100-story house. There are 10 identical little animals on each floor, and a different kind of little animal is changed every 10 floors. Different stories will happen on each floor. Here, children can count from 1 to 100 one floor at a time.
Picture books involving mathematical calculations
365 Penguins
Mathematical picture books are quite difficult to create. Firstly, the story of the picture book should be present, and secondly, there should be mathematics In this sense, "365 Penguins" is a real mathematics picture book.
First of all, it has a complete picture book story: On January 1st, "I" received a package with a penguin in it. From now on, I will receive a penguin every day, for a whole year 365 Penguins were mailed to "my" house one after another. These penguins first brought surprises to the family, but then they brought endless troubles... Fortunately, on the last day of the year, an uncle came to my house, and it turned out that all the penguins were his. It was sent by mail to help penguins move to the North Pole...
Secondly, in this book, children can do some mathematical calculations based on the story. For example, there are 31 days in January and 28 days in February. , I receive 1 penguin every day. How many penguins have there been in two months? (31+28=?)
On the 60th day, in order to collect the penguins, the family also thought of many ways. They put 15 penguins into one group, first 4 groups, and then 4 Multiply by 15 to find out how many penguins there are!
The number of penguins has been increasing, and there are more and more things to feed. One penguin eats 2.5 kilograms of fish every day, and 1 kilogram of fish is about 3 yuan. How much does it cost to buy fish every day for 100 penguins? ?
......
There are several examples of such mathematical games, so I won’t explain them one by one here. In short, this book perfectly integrates mathematics and picture book stories, which is very suitable for children in Children in the "mathematically sensitive period"!
"Who Stole the Bun"
This book tells a childlike story and also involves simple subtraction. It is said that in a small town, there was a bun shop. There was a mother and a little girl in the bun shop.
One night, there were 8 fried dumplings left before the shop closed. The owner of the silk shop bought 5 of them, but Niuniu yawned and there were only 2 left on the plate. What's going on?
On the second night, there were 9 vegetable buns left. The proprietress of the gold shop bought 5 and left 4. Niu Niu helped her mother sweep the floor, but in the blink of an eye, only 3 buns were left. . Where did that one go? So, Niuniu decided to catch the thief who stole the buns...
"Elephant's Arithmetic"
In this book, the elephant is doing arithmetic problems with its own dung balls. In the first fifty years of its life, it pooped one more poop ball per day for every year it grew. That is to say: in the first year, it pooped one poop ball per day, and in one year it pooped 365; in the second year, it pooped 2 poop balls per day. , two 365s per year, that is 730... In the fiftieth year, it pooped 50 365s every day, and 50 365s per year. In the 50 years, the elephant pooped a dung ball. In the last 50 years of its life, it pooped one less ball of feces every day for every year it grew older. In this way, when it is 100 years old, everything will return to zero...
This book is suitable for 6-year-olds The children above read, in addition to mathematical calculations, the book also has themes about life. Every life grows from weak to strong, and from strong to old. On the last day of the elephant’s life, there is a particularly touching passage in the book, which I would like to share with you:
“The old elephant is very happy. He understands that after living for a hundred years, he returns to zero. He will return to zero. There was nothing to think about, grass and leaves, addition and subtraction, no need to think about it. He turned around gently and walked slowly to the place where the old elephants would go in the end...there. , he will also become zero and disappear quietly."
Mathematical picture book by Mitsuya Anno
The famous mathematician Mr. Chen Shengsheng once said: "Each of us has a lifetime. We all spend a lot of time doing mathematics, but we actually just learned calculations, not mathematics.” Indeed, for many people, mathematics means formulas and precise calculations, and no one cares about the logic behind the numbers.
Mitsuya Anno’s mathematics picture book is very different from traditional mathematics textbooks. It never teaches children how to perform calculations, nor does it list a specific formula. It just allows children to play games. Think mathematically in the process and show off the beauty of mathematics to your heart’s content.
Mitsuya Anno is a world-renowned picture book master who has won the "Andersen Award", the highest honor in the international children's book industry. Since his boyhood, Mitsuya Anno has shown extremely high talent in mathematics and also loves painting. His dual talents have given him both a scientific thinking and an artist's feeling and heart.
Mitsuya Anno's mathematical picture books integrate art and science into humorous visual games, creating an "Anno style" that is both intellectual, poetic, and full of childlike fun, showing keen imagination and meticulousness. It has won numerous international awards for its logical reasoning ability and is now highly recommended to parents and friends.
"Into the Wonderful World of Mathematics"
This series is recommended for children over 4 years old. It has 3 books, covering 13 basic mathematical ideas. Mitsuya Anno once wrote in his creative notes: "The word 'mathematics' is translated from Mathematics. The etymology does not mean mathematics, nor is it limited to quantities and graphics, but is closer to cognition and thinking. The meaning of the method of things." This sentence shows Mitsuya Anno's views on mathematics, and also determines that his picture books will not talk about specific mathematical knowledge such as numbers and arithmetic, but focus on the way of thinking about problems.
In this book, Mitsuya Anno makes mathematics simple and fun through interesting games, crafts and stories, guiding children to do things, think and discover on their own, and learn to use mathematics in the process of games. way to think. There are many mathematical ideas involved in the book. For example, "Number Circles" talks about the formation of numbers, the idea behind "Not in a Crowd" is elementary set theory, "Walking the Maze" reflects topological thinking, and "The Incredible Magic Machine" "Reflects the mapping relationship of functions...
The range of mathematical knowledge we can teach children is very narrow, but Mitsuya Anno has greatly broadened this field. Many mathematical principles can be easily used in his paintings. Told in a fun way, even young children can easily understand.
"Mitsuya Anno's "Beautiful Mathematics" Series Picture Books"
This set of books *** includes 5 books and is recommended for children over six years old. To be honest, the content of these books is quite difficult for a liberal arts student like me. Even though I have studied mathematics for so many years, it still took me several days to understand the logic behind the story, and then I sadly discovered I really don’t understand the mathematical formulas I learned in high school or college. Mitsumasa Anno, he can let people understand the logic behind mathematics through stories.
"Ten People's Happy Moving" is the simplest book in this set, which mainly involves the synthesis and decomposition of numbers below 10. Through the moving of 10 children, it teaches children the combination of 10: 1 and 9, 2 And 8, 3 and 7...
"Wonderful Seed" mainly allows children to experience the surprise of "number doubling". Through the story of a lazy man planting seeds, children can experience the difference between 0 and 1. This then leads to the concept of number exponentiation, as well as the knowledge of number decomposition.
I was a little dizzy after reading "Hat Trick". The last situation is still not fully understood. This book mainly involves the hypothesis method and the elimination method. By guessing the color of the hat like solving a puzzle, Exercise children's reasoning and observation skills;
"Story in the Pot" involves the concept of mathematical factorial method, 1×2×3×4×5×6×7×8×9×10… Well, this factorial is basically a concept that I only came into contact with after high school, but Mitsuya Anno can use a story to make children understand the meaning of these numbers. Isn’t it amazing?
"The Three Little Pigs" is a story about a wolf who wants to eat a sheep. The wolf in this book is a slow philosopher. The three little pigs he wants to eat live in five rooms. , the wolf was thinking: Which house will the little pig live in? This thinking led to the concepts of permutation, combination and elimination.
In addition to mathematical logic, this set of books is also very beautiful. Mitsuya Anno uses light color painting methods, allowing us to appreciate the elegance of blue and white porcelain, the vastness of the grassland, and the simplicity of the home... The pictures are matched with the wonderful text. The whole set of books looks peaceful, warm, full of interest, and has both emotional and rational beauty.
Reposted from Baby Reading, the original text comes from Dudou.com
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