ハーフの子どもたちの日本語継承語教育と考える力を育む『どんぐる教室』in ルクセンブルク

ハーフの子ども達のゆっくり・じっくり日本語継承語教育と学力養成なら 『どんぐる教室』 in ルクセンブルクおまかせ下さい

Donguri articles in English

Without teaching, a 3rd grade DONGURI child of primary school solves a problem of the simultaneous equations!

投稿日:2018年10月28日 更新日:

A 3rd grade donguri child of primary school solves here one of the problems of the simultaneous equations with no hint and no advise by herself. They normally learn them in the second grade of junior high school.

In the DONGURI math problems, the idea of simultaneous equations is coming in from the problems for second graders of primary school and comes out frequently at the stage of the fourth grade. Therefore, children who are doing DONGURI problems become to be able to understand well about them and solve them more naturally.

4MX93 donguri math problem

Tizo Itoyama  DONGURI club in Japan  http://reonreon.com/

She is doing the method of adding and subtracting of simultaneous equations only by her drawing. Here is an explanation. She solved the problem doing the following formula written below only with her drawing. It is amazing!

 

2 ☆ + ● = 4 billion A
3 ☆ + 2 ● = 7 billion B
B – A = ☆ + ● = 3 billionTransformation of formula B3 ☆ + 2 ● = 2 × (☆ + ●) + ☆ = 2 × 30 + ☆ = 70 ☆ = 10
30 – ☆ = ●
30-10 = ●
● = 20

Let’s write it like a junior high school student.
☆ = X
● = Y
2X + Y = 4 billion – ➀
3X + 2Y = 7 billion-②

② – ➀ = X + Y = 3 billion – ③

Modify ② 3X + 2Y = 2 (X + Y) + X = 7 billion – ④

Substitute ③ for ④
2 × 30 + X = 7 billion
X = 70-60
X = 10
Substitute this for ③ 10 + Y = 30
Y = 30-10
Y = 20 ・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・

Una niña de 3º grado de escuela primaria que se practica DONGURI se resuelve el problema de las ecuaciones simultáneas sin ningun consejo ni pista solo con su propio poder. Los problemas de las ecuaciones simultáneas normalmente se aprenden en el segundo grado de secundaria.

 

En DONGURI, la idea de las ecuaciones simultáneas proviene del los problemas de segundo grado de escuela primaria y en la etapa del cuarto grado aparecen bastante. Por lo tanto, los niños que esta practicando DONGURI pueden resolver los problemas de las ecuaciones simultáneas como de costumbre.

 

Esta niña ha resolvido el problema con el método de sumar y restar de ecuaciones simultáneas solo por imagenes vsuales.

 

Ha respondido por aritmética mental.

 

El resolvio la siguiente fórmulas solo con imagenes visuales.

 

2 ☆ + ● = 4 mil millones-A

3 ☆ + 2 ● = 7 mil millones – B

B- A = ☆ + ● = 3 mil millones

 

Transformación de la fórmula B

3 ☆ + 2 ● = 2 × (☆ + ●) + ☆ = 2 × 30 + ☆ = 70

☆ = 10

30 – ☆ = ●

30-10 = ●

  • = 20

 

Vamos a escribirlo como un estudiante de secundaria.

☆ = X

  • = Y

 

2X + Y = 4 mil millones – 1

3X + 2Y = 7 mil millones-2

2 – 1 = X + Y = 3 mil millones – 3

 

Modificar ②

3X + 2Y = 2 (X + Y) + X = 7 mil millones – 4

Sustituir ③ por ④

2 × 30 + X = 7 mil millones

X = 70-60

X = 10 mil millones

 

Asigna esto a ③

10 + Y = 30 mil millones

Y = 30-10

 

Y = 20 mil millones

-Donguri articles in English
-, , , , , ,

執筆者:


comment

メールアドレスが公開されることはありません。

関連記事

1MX92 DONGURI

why do we need to draw on the paper instead of visualizing images only in the head?

【And why do we need to draw on the paper instead of visualizing images only in the head.】 The reason …

DONGURI donguri

Why do the children develop their academic ability through drawing donguri problems even if they cannot get the answer right away?

  In fact, at DONGURI the answer is not important. Because, through the proposed methodology, t …

donguri DONGURI international math3 steps

3 Steps for getting high-standard problem solving ablity

To get advanced problem solving ability, don’t forget to teach children all these 3 steps belo …

donguri DONGURI seminar

DONGURI can help children to develop understanding and thinking.

At DONGURI, our aim is not only for every child to develop excellent problem-solving abilities, but …

無料メルマガ『どんぐるDONGURU通信』


narrative-794978__340

通称どんぐる先生

ルクセンブルク大公国5か国語環境で、5人の子育てをしながら、ゆっくり・じっくり・マイペース日本語継承語教育と考える力を伸ばす『どんぐり倶楽部』の算数教育方法を広めています。

➦詳しいプロ―フィールはこちら

DVDの詳しい内容は画像をクリック!

➦Amazonにて販売中です!