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Author: Chuan mother
"A long time ago, far, far away, there is a vast forest, the forest there is a stone cabin in, which is home to Papa Bear , Mother Bear and Baby Bear’s family of three..."
The similar beginning "staged" indicates that my child and I have entered an important moment, and we are working on a "project" that cannot be missed every day, that is- talks and sleeps The former story .
However, nowadays the person who listens to the story has changed from Dabao to Erbao, but the person who tells the story is still me.
Every time Erbao will "designate" a pile of books for me to talk about, and each book must be read N times. In this infinite loop, every time I have to talk about dry mouth, she can be satisfied Go to sleep with a sweet expression...
believe that this kind of scene has happened or is happening in many children's boot homes.
But I don’t know if you have discovered such a phenomenon:
The bedtime stories we tell our children, from fairy tales to idioms and poems, from geographical exploration to historical events, from common sense of life to habit formation... all kinds of topics, you can Said it has everything.
But there is one aspect that is rare, and that is-mathematics .
"mathematics" bedtime story, why is it so rare?
Why do bedtime stories still "partially"? Why can't you see the math story?
Probably many people agree: unlike the ubiquitous language and cultural knowledge in life, children learning mathematics is a serious and formal thing, and they must "sit down" to learn, and relax in normal life or general entertainment. Time, I rarely think of (or should not do) things related to mathematics.
Our parents only have this idea, mainly for two reasons.
1. The separation between mathematics and daily life
The actual application of mathematics in daily life is actually very common, such as shopping, making up for the score, watching the clock to calculate the time, the easy route from home to the subway station And so on, are closely related to mathematics.
But to be honest, we generally don't put these into the category of mathematics, but call them: habits, experience, common sense.
What is the mathematics in everyone's eyes?
may look like this:
▲ Cauchy's inequality
is like this:
5z
▲The Heart Theorem
In short, they are all unclear symbols, curves, and auxiliary lines. It seems that only these are qualified to be called "mathematics."
and those weird word problems that filled childhood: a swimming pool filled with water while pumping water, chickens and rabbits must be locked in the same cage, and the energetic dog runs back and forth between the two...Applying what you have learned However, the knowledge cannot be "applied" to our lives at all.
Simple mathematics cannot be ranked, and complex mathematics is not used. Therefore, mathematics seems to have a sense of separation from daily life, so that we rarely talk about mathematics topics in our daily communication with children. (Except for tutorial assignments).
2. Parents also have math anxiety
There are some parents who are unwilling to talk about math with their children at home.
The reason is that they themselves are afraid of mathematics, and they have suffered a lot of blows in the process of learning mathematics.
Some content in Chinese and English subjects focuses more on subjective cognition and expression skills. The answer is not unique, but there is room for self-expression. It's hard to say, even if you seem to understand but don't understand, and when you take a test, you can sometimes get a little bit.
However, this trick does not work in mathematics. Complicated formula theorems, meticulous problem-solving steps, and the only correct answer, any mistake in the middle may lead to a defeat across the board.
The frustration of not knowing mathematics, the grievance of being criticized by the teacher, the shame of failing the exam...These past nightmares have caused many adults to have a fear of mathematics itself, which is the so-called "mathematics anxiety". I also wrote related articles before: Because of your tutoring, children's math scores may get worse and worse...
Therefore, it is not difficult to understand why math learning rarely occurs in the warm bedtime.
Math interactions before going to bed can help children improve their level
Is math difficult? It is really difficult. The content of learning is abstract, and the learning process is boring. Many people complain about it.
Especially in the critical period when children are just getting started, it is necessary to lay a solid foundation and cultivate interest. If you are not sure about it and cause a series of blows, it is estimated that the child will repeat the mistake of "mathematics anxiety disorder".
Here, I recommend a good way to learn mathematics- through bedtime stories .
This is not the method proposed by someone who pats his head, is the conclusion drawn by researchers from the University of Chicago through experiments, and the paper is published in the world's authoritative academic journal Science.
Researchers recruited 587 families in 22 elementary schools in the Chicago area to participate in the experiment. Among them, the children were all freshmen in the first grade.
These families are randomly divided into two groups:
reading group (Parents and children of 167 families) will obtain articles and questions related to reading comprehension in the app provided by the experiment, involving knowledge points such as vocabulary, spelling, pronunciation, judgment; parents of
math group (420 families) And children are required to watch math-related articles in the app and answer the math questions after the article, including numbers, calculations, scores, probability, geometry, etc.
The two groups were exposed to the same level of article and the difficulty of the title. The weekly reading frequency can be determined by yourself.
In the next school year, more than 500 families will use this app to tell bedtime stories, and work hard in the parent-child interaction of Chinese and mathematics.
At the end of the school year, the researchers gave all the children a final math test and compared the results of this test with the math scores at the beginning of the school year. The results show that: compared with the reading group, the mathematics level of the children in the math group has improved significantly. The
experiment further shows that: parents with high mathematics anxiety can have a parent-child interaction in mathematics once a week, and the children's mathematics scores will improve significantly.
After analysis, researchers believe that parents with high mathematics anxiety rarely provide high-quality mathematics interactions to their children at home. Therefore, even a weekly bedtime story can increase the quality of mathematics input received by children, thereby improving children's Math scores.
However, if it is performed multiple times a week, there is no significant difference from once a week. Therefore, parents do not need to be greedy. As long as they interact with their children occasionally, the benefits will be enough. When the paper
was published, it caused a lot of discussion and experienced some doubts.
However, most of the doubts are around the app used in the paper (some people think this paper is like a soft app). The authenticity of the data and the referenceability of the conclusions have been generally recognized.
Although the research conclusion of is only applicable to the primary stage of mathematics when children are just starting to learn mathematics , this undoubtedly provides us with a fun and effective family education idea-
z2 Stories can not only reduce the impact of parents' own mathematics anxiety on family education, but also provide a math atmosphere with good quality and good experience. It will be beneficial and harmless to children of any age.
How to tell a good math story? This book list will help you
Of course, you don’t have to read the math story on the app. You can replace it with a paper book of math story.
These days, I have done a lot of homework, and compiled 6 sets of mathematics picture books and picture books suitable for the connection of young and elementary school children, . They are all high-quality children's books with good reputation and can fully stimulate children's interest. Several of them are Dabao's beloved, let me share it with you all.
"I love mathematics since childhood"
z1Recommended age for z: 3-7 years oldFrom Korea, "Love Mathematics from Childhood", the content is biased towards the enlightenment of mathematics concept z, it is very suitable for children who are in the junior grades to learn basic reading, and get good at primary school read. The mathematics knowledge system contained in the book
as a whole can be divided into two categories: "fantastic algebra" and "fun geometry" , and almost cover 5zzz 332 from easy to difficult. All the basic concepts that children can touch . The beauty of
is that uses interesting stories to explain mathematical concepts. Z5z allows children to instinctively love picture book stories and stimulate their interest in learning mathematics in a relaxed and interesting atmosphere, step by step. Establish a solid foundation of mathematical concepts.
For example, the book "Toy Soldiers and Magic Blocks" talks about the geometric shapes of and the knowledge points of dividing .
The protagonist is a toy soldier with only one leg. His beloved dancing girl is about to be taken away by the monster. In order to rescue his sweetheart, he stepped forward, but was blown away by the monster.
The toy soldiers adventuring outside, divide and combine the magic cubes to turn them into cars, ships, and torches.
Finally, can the toy soldiers go home safely? What gift did he make with the magic block to give to the dancing girl?
While following the adventure through the storyline, the child can also take out a few pieces of paper, try to divide the magic block into different patterns, and bring the mathematical knowledge in the book into reality.
After reading the story, the child understands the relationship between graphics and graphics based on the understanding of plane graphics, and then masters the concept of "graphics can be divided and combined into other graphics".
In reading and games, children can intuitively feel the fun of mathematics, establish logical thinking in mathematics, improve the ability to solve problems, and develop the spirit of active exploration.
"Mathematics Help for Children"
Recommended age: 5-8 years old
The mathematics book shelf recommended by the famous American mathematics bookshelf is very helpful. Many of the awards are good books for first-line teacher certification.
This set of books has two versions, the old one is 25 volumes, , the new version has increased to 36 volumes. The subject content covered by the two versions of
has little change, basically covering the knowledge points that need to be learned and mastered in elementary school mathematics, mainly including 5:
- digital and operation
- amount
- graphics and geometric
- exploration of Measurements
- statistics and probability
"mathematical help" every book will tell a funny story.
In every story, will first throw out a practical problem, and then guide the child to think positively and find a way to solve . Through the promotion of the plot, unintentionally draws out the mathematics knowledge to be learned, and implements the specific application . The design is very clever.
For example, in the story of "Annoying Chickenpox", the protagonist Zip's class has 15 people, and 10 people need to participate in the chorus competition. However, three children in the class had extremely contagious chickenpox.
In order to ensure the smooth progress of the chorus competition, Zip wanted to know the health of all his classmates. The method he thought of was to classify and count . How to reasonably classify
? How to investigate everyone's situation? With these questions, children can learn related knowledge with Chip.
This set of books focuses on cultivating children's mathematical thinking, so that mathematics not only lie in textbooks, but also appear in life, encourage children to really "use" mathematics.
Warm tips: Although has 5 categories in content, there are still gradient differences in the degree of difficulty of the knowledge points within the category. Therefore, parents can help their children sort the books according to the difficulty, so that they will read more smoothly.
"Beautiful Mathematics"
Recommended age: 5-12 years old
This is the most beautiful mathematics editor of the Department of Mathematics. "Mathematics Picture Book".
uses the usual gentle brushstrokes of Japanese picture books to show the abstract mathematical essence in real life scenes and lead children into the world of mathematics easily.
This set of books consists of 5 volumes, each of which shows a special item of mathematics, namely:
- "Ten People Happy Moving"-10's synthesis and decomposition, "the story of adding and subtracting the constant zzz5927zzzzz5927zzzz5927zzz2936 -Factorial
- "Wonderful Seeds"-counting, multiple changes
- "Hat Trick"-Suppose the inference
- "Three Little Pigs"-permutation, combination, exclusion method
The story of each book is not simply explaining the knowledge points, more like an interactive game, children can deeply participate in it and actively explore.
For example, the book "The Story in a Pot" opens with a beautiful blue-and-white porcelain double-eared pot. When we uncover the lid of the pot, we find that there is something special inside.
There is a small island in the water in the pot, two countries on the small island, three mountains in each of the two countries, four castles on each of the three mountains, and five villages and five in each of the four castles. There are 6 houses in each village, each of the 6 houses has 7 rooms, each of the 7 rooms has 8 cabinets, each of the 8 cabinets has 9 boxes, and each of the 9 boxes has 10 pots.
looks like a simple number from 1 to 10. However, after careful consideration, you can find that there is a hidden secret of multiplication. The final number of pots needs to be calculated with 1×2×3×4×5×6×7×8×9×10, and there are more than 3.62 million answers! The growth of this multiple relationship of
is the concept of factorial .
The best thing is that when we continue to open the more than 3.62 million pot lids, the story in the pot begins again! Is there an advanced version of "There used to be a mountain and a temple on the mountain". The plot arrangement of
is not only fun, but also conveys to the children the concept of loop and infinite .
Don't read the mathematics knowledge involved in the book covers a wide range, easy and difficult, but can be conveyed through pleasant pictures, so that children can feel the natural beauty of mathematics, so that older children can feel the beauty of rationality.
is recommended for children at the primary level and primary school level. I believe that while cultivating children's math thinking ability, they will discover the joy of using their brains and love mathematics from the bottom of their hearts.
"Hello, Elementary School Mathematics"
Recommended age: 5-12 years old
"The newest mathematics book written by senior mathematics teachers in 2020 is the newest book published by the senior mathematics in 2020. The comic form , which is the favorite of children, especially elementary school children, is used to present mathematical knowledge.
This set of books has 10 volumes , each volume contains 1 mathematics knowledge system, the complete set of books divides the mathematics knowledge points that need to be learned in elementary school into 10 categories 10 categories: zz
has 96 knowledge points in total. "Hello, Primary School Mathematics" sorts out, summarizes and summarizes the knowledge points of the same category, with a clear structure and a system. Each section of the book
will focus on the knowledge points and briefly describe a funny comic story. The story will present the definitions and key points of mathematical knowledge points one by one.
For example, when talking about the concept of , bicycle tires are used to tell the children that a round wheel can run smoothly only when all the distances from the axle to the point on the tire are the same.
If the position of the center of the circle changes or the distance (radius) changes, the car will tremble when riding, and you will fall into a "dog chewing mud" if you are not careful.
In the hilarious laughter, children also remember the characteristics and concepts of circle. Its knowledge points are very clear, coupled with the form of funny comics, and there are fewer essays, it is easy to ignite the enthusiasm of reading and learning, and children will read it easily.
Dabao also likes this set of books very much. He read several books at once when he got it, and he always had fun while reading.
can be used as a mathematics enlightenment book for finding points of interest for young children who are connected with ; for elementary school children, is a good choice for in-class mathematics.
"Mathematics in Everything"
Recommended age: 5-12 years old
This set of books is also a hot math book phenomenon in the past two years. Before, I started a group at a super low price and sold thousands of sets in one morning, which shows its popularity.
As a "net celebrity", "Mathematics in Everything" is not only popular, but also powerful.
before with several sets of math books, it also in accordance with the knowledge categories, divided 4 topics, and each topic two books :
- digital and operation
- geometry and measurement
- amount of statistics and probability
looking down, full set The book contains 93 mathematics concepts, the content basically covers the mathematics content of elementary school 1-6 grade.
"Mathematics in Everything" emphasizes the expansion of knowledge and the cultivation of mathematical thinking. Every knowledge point in the book is developed in accordance with the main line of "story + concept + game" .
, for example, when talking about arithmetic sequence , first through the story of mathematician Gauss, tell the origin of the "number sequence", to teach children science mathematicsCommon sense; then introduce the concept of "arithmetic sequence", so that children can easily understand what this concept is trying to say.
Finally, through the "bunting" game, let children use the arithmetic sequence to solve practical problems.
In addition to stories, this set of books will also use some intuitive scenes and illustrations to guide children to understand mathematical concepts, which are easy to understand and interesting.
For example, when talking about the area formula of the circle , the circle is divided into several sectors, and then the sectors are combined into a rectangular shape. The area has not changed, and the shape has become easy for children to understand.
It can be seen from the figure that the length of the "rectangle" is half of the circumference of the circle, and the width is the radius r of the circle. From this, the area of the circle = the area of the "rectangle" = length * width = πr²

z215 "Mathematics"
asks questions in the scene story, guides the children to think about the problem, and then uses the mathematical knowledge they have learned to solve the problem , step by step, train children "to apply what they have learned" mathematical thinking.In addition, this set of books has another point that I admire: it can integrate mathematics and knowledge of other subjects, helping children from point to surface, builds a three-dimensional, comprehensive knowledge frame, which is helpful The integration of multiple disciplines enhances comprehensive ability .
"Hansheng Mathematics Picture Book"
Recommended age: 5-12 years old
. Finally, I really want to write "Hansheng Mathematics". A must-read classic book in elementary school! Z5z
, you know, this set of books was published as early as 1970. In order to improve national strength, the United States specially invited 18 mathematics experts to create for children. It has spanned half a century and is still very popular.
, as a proper old-fashioned "aristocrat", whether it is on the major e-commerce platforms or the eye-catching mother circle, its status has not been shaken. I kept the book
early at home, and waited for Dabao to take it out when he was younger. From what I know about Dabao, he must like it. Sure enough, he was very fascinated.
The complete set of books includes 41 , plus 1 "Mother's Handbook" , which covers all the mathematical knowledge that elementary schools need to master.
The story in "Hansheng Mathematics" is not only a summary and study of knowledge points, in other words, mathematics knowledge is only a small part of it; more importantly, it can help children expand their ideas and horizons, and cultivate one A systematic way of thinking about learning mathematics .
For example, the first book "How do the numbers come from?" ", a very interesting question came up:
If you are a primitive cow herding, you need to make sure that the number of cows is the same when you go out and when you go home, but there is no concept of numbers at the time, that is, there is no 1234... Now, what do you do?
To be honest, as an adult, I haven't answered this question at once. The answer given in the book is:
count with stones. When a cow is released, he picks up a stone and puts it in his pocket; when he comes home in the evening, when a cow comes back, he throws a stone away.
Is it a pleasant surprise? It seems to be answering a very simple question, but the answer surprised us. This is actually the cultivation and application of mathematical thinking.
On this issue, we can also do outreach training for our baby, For example:
When we go home in the evening, we finally find a stone left. What does it mean? (Lost a cow)
When I went home in the evening, I finally found a stone missing. What does it mean? (One more cow)
Some mothers will feedback that the story of "Hansheng Mathematics" is not fun enough. Indeed, from the perspective of plot and writing alone, "Han Sheng Mathematics" is a somewhat academic style.
However, as long as the child has a certain foundation in mathematics, or the parents explain humorously, it is not a problem to interest the child.
Mathematics is the foundation of all science and is inseparable from our daily life; not only that, the ability of thinking, judging, logical analysis, and problem-solving acquired through learning mathematics can benefit children for life.
So, it's time to add some math stories (or discuss some topics about mathematics) in the children's bedtime stories.
hope that every warm math bedtime story can melt a little bit of "mathematics anxiety" and help children fall in love with math and learn math well.
References:
[1] Talia, Berkowitz, Marjorie W, Schaeffer, Erin A, Maloney, Lori, Peterson, school, Beilock, Susan C, Le tovine, School adds up to achievement in Sian. [J]. Science (New York, NY), 2015, 350(6257):196-8.
[2] Frank MC. Comment on "Math at home adds up to achievement in school".[J]. Science ( New York, NY), 2016, 351(6278):1161-b.
[3] Berkowitz T, Schaeffer MW, Rozek CS, Maloney EA, Levine. SC, Beilock SL Response to Comment on "Math at home adds up to achievement in school" [J] Science (New York, NY), 2016, 351 (6278):... 1161-c
River mom said
I bought a full set of "Han Sheng Mathematics" for Dabao and let him see it as a picture book. Of course, he has already started to read independently, so I don't need to read it to him anymore. However, we will discuss, and I will help him understand the difficulties. The original unintentional act of
unexpectedly received professional research support, which has a very positive effect on children's learning mathematics. In this way, we have broken our previous "stereotype" of mathematics learning methods. It seems that we must continue.
Expanded reading
mom Seeing the world: learning parenting and seeing the world with the second-child Ph.D mother; here are the natural life sharing that I admire, and exclusive science courses Reading course; come on, there will never be a good friend on the way to raise a baby! Right, I currently publish articles on the two platforms "Toutiao and WeChat Account" with the names of [mom to see the world], welcome to follow.