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The Development of the New Experimental Devices to Accept �the Principle of the Force and Motion� Author Nobuyuki KAWAI Kobe Municipal Ibukidai Lower Secondary School , ��JAPAN

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Presentation contents

1 Background and Problem

  1. Purpose and Experimental device

3 Experiment class and Finding

  1. Conclusion

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The starting section�� Background and Problem

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Question 1: Which force was bigger, forward or reverse,

when the car ran at a constant velocity?

A : Forward force / B : Reverse force

 

① A<B   

② A=B

③ A>B

 

A

B

The law of inertia

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Question 1:

Which force was bigger, forward or reverse, when the car ran

at a constant velocity?

A : Forward force / B : Reverse force

 

① A<B   

② A=B

③ A>B

 

A

B

A > B 70 %

students’ answers

The law of Inertia

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Question 1:

Which force was bigger forward or reverse when the car ran

at constant velocity?

A : Forward force / B : Reverse force

 

① A<B   

② A=B

③ A>B

 

A

B

A > B 70 %

It is necessary the force for the object to run at a constant velocity.

students’ ideas

The law of inertia

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Question 2:

If you continue pulling the cart, how does the speed of the cart change? Provided that there is not any friction between the cart and the floor.

① It runs with the constant speed all the time.

② It runs fast in the beginning,

It runs in the constant speed immediately.

③ It becomes faster.    

The principle of force and acceleration

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Question 2:

If you continue pulling the cart, how does the speed of the cart change? Provided that there is not any friction between the cart and the floor.

① It runs with the constant speed all the time.

② It runs fast in the beginning,

It runs in the constant speed immediately.

correct ③ It becomes faster.    

83 %

65 %

18 %

17 %

The principle of force and acceleration

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Question 2:

If you continue pulling the cart, how does the speed of the cart change? Provided that there is not any friction between the cart and the floor.

① It runs with the constant speed all the time.

② It runs fast in the beginning,

It runs in the constant speed immediately.

③ It becomes faster.    

The principle of force and acceleration

83 %

The car keep running at a constant velocity even if the force is continued applying.

students’ ideas

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The 2nd section � �Purpose and Experimental device

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The mechanism

Weight

Speedometer (BeeSPIν)

Weight

Silk Gut

Object (label)

Pulley

Pulley

The Experimental Device

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Initial Velocity = 0

Initial Velocity ≠ 0

Resultant Force=0

Resultant Force≠0

Table 1: The principle of balance of forces ( Kawakatsu 1992 )

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Initial Velocity = 0

Experimental device

Resultant Force=0

 Resultant Force=0

⇔ Do not begin to move

 a Law of Inertia

 in the initial velocity=0

Resultant Force≠0

Table 1: The initial velocity and the resultant force

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Initial Velocity = 0

Experimental device

Resultant Force=0

 Resultant Force=0

⇔ Do not begin to move

 a Law of Inertia

 in the initial velocity=0

Resultant Force≠0

Object

15

15

Stand still

Table 1: The initial velocity and the resultant force

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Initial Velocity = 0

IExperimental device

Resultant Force=0

 Resultant Force=0

⇔ Do not begin to move

 a Law of Inertia

in the initial velocity=0

Resultant Force≠0

 Resultant Force≠0

⇔ Begin to move

a Law of Motion

in the initial velocity=0

Object

15

15

Stand still

Table 1: The initial velocity and the resultant force

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Initial Velocity = 0

Experimental device

Resultant Force=0

 Resultant Force=0

⇔ Do not begin to move

 a Law of Inertia

 in the initial velocity=0

Resultant Force≠0

 Resultant Force≠0

⇔ Begin to move

a Law of Motion

in the initial velocity=0

Object

15

15

Stand still

Begin to move

Object

Table 1: The initial velocity and the resultant force

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Initial Velocity ≠ 0

Experimental device

Resultant Force=0

Resultant Force=0

⇔ Does not accelerate/decelerate

a Law of Inertia

Table 2: The initial velocity and the resultant force

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Initial Velocity ≠ 0

Experimental device

Resultant Force=0

Resultant Force=0

⇔ Does not accelerate/decelerate

a Law of Inertia

Object

15

15

Same velocity

Table 2: The initial velocity and the resultant force

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Initial Velocity ≠ 0

Experimental device

Resultant Force=0

Resultant Force=0

⇔ Does not accelerate/decelerate

a Law of Inertia

Resultant Force≠0

Resultant Force≠0

⇔ Accelerate /Decelerate

a Law of Motion

Object

15

15

same velocity

Table 2: The initial velocity and the resultant force

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Initial Velocity ≠ 0

Experimental device

Resultant Force=0

Resultant Force=0

⇔ Does not accelerate/decelerate

a Law of Inertia

Resultant Force≠0

Resultant Force≠0

⇔ Accelerate /Decelerate

a Law of Motion

Object

15

15

same velocity

 

15

10

acceleration

15

10

deceleration

Table 2: The initial velocity and the resultant force

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Initial Velocity = 0

Initial Velocity ≠ 0

Resultant Force=0

Resultant Force≠0

15

15

same velocity

 

15

10

acceleration

15

10

deceleration

15

15

stand still

begin to move

Table 3: The initial velocity and the resultant force

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The 3 rd. section��Experiment class and Findings

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No. 1 The object stands still. When the weight of both ends is same,

Which is bigger the left force or right one?

( left force , the same , right force )

The object ( stands still , runs either left or right ).

The Worksheet to the prediction of results

object

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Pulley

Weight

(both ends)

1st The prediction of result

3rd The discussion

2nd The experiment

The experiment class in session (2020)

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Table 4: The correct answers to Q. 1 and Q. 2

after studying a Force and Motion

% correct % correct

Control Group Experimental Group

n=32 n=22

Question 1 28.1 72.7 **

Question 2 25.0 86.4 **

  **p<.01

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The final section��Conclusion

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力と運動の実験Ⅱ(鉛直方向)

100.0g

ペットボトル

電子天秤

エレベータの中

椅子

実験中の様子

実験後の討論

意見を出し合う(実験前)

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Thank you for your attention

Nobuyuki KAWAI

Kobe Municipal Ibukidai J.H.S

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The mechanism

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The 3 rd. section��Experiment class and Findings

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運動状態

 電子天秤の値

合力の向き

1階

停止

100.0

はたらいていない

上昇中

加速中

100.0から増加した後,減少

に転じて100.0に近づく

上向き

等速度

100.0

はたらいていない

減速中

100.0から減少した後,増加

に転じて100.0に近づく

下向き

4階

停止

100.0

はたらいていない

初速

     ν=0

      ν≠0

 

合力=0

静力学, 力の原理Ⅰ

合力=0 ⇔ 動き出さない

初速度0における慣性の法則

動力学

合力=0 ⇔ 加速(減速)しない

慣性の法則

 

合力≠0

動力学, 力の原理Ⅱ

合力≠0 ⇔ 動き出す

初速度0における運動の法則

動力学

合力≠0 ⇔ 加速(減速)する

運動の法則

形成する

概念

力の概念は初速度0における

力の原理で形成する

力と運動の概念は力の概念を

もとに発展させる

合力=0 ⇔ 動き出さない

初速度0における慣性の法則

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上昇するボール①に

はたらく力の向き

実験後

↑上向き

↓下向き

その他

実験前

↑上向き

3(17)

8(44)

3(17)

14(78)

力ははたらかない

1(5)

0(0)

0(0)

1(5)

↓下向き

0(0)

3(0)

0(0)

3(17)

4(22)

11(61)

3(17)

18(100)

コインの投げ上げ

J.Clement.(1982).Students’ preconceptions in introductory mechanics

MIF*的素朴概念

実験Ⅱ実施前後の生徒の回答

* MIF: Motion Implies a Force

(兵庫県内公立中学2年生18名 調査2020年)

単位:人(  )は%

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物体は静止している

         ν=0

物体を持って左に動かす    ν≠0

合力=0

静力学,力の原理Ⅰ

(ア)A=B, 静止したまま

初速度0における慣性の法則

動力学

(イ)A=B, 速さは一定

3個の速度計がほぼ同じ値を示す

慣性の法則(等速度運動)

合力≠0

動力学,力の原理Ⅱ

(ウ)A>B,左に動き出す

初速度0における運動の法則

動力学

(エ)A>B, 加速する

速度計の値がだんだん大きくなる

(オ)A<B, 減速する

速度計の値がだんだん小さくなる

運動の法則

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実験Ⅰ 鉛直方向

・「力と運動」の概念を理解できていない教員

「成果と課題」

今後の取り組み

・教員への調査数を増やし,詳細に検討する。

・教員研修の在り方と指導法を考案し,実施して検証する。

 ➡ (子どもに対して) 誤った考え方を定着,誤った考え方への支援のおそれ

理科教員の予想

・子どもの解答で最も多かった選択肢を予想できていない教員

 ➡ 子どもの考えを把握できなければ,

    子どもがどのように学んでいるかを捉えることはできない

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ご静聴ありがとうございました

神戸市立塩屋中学校 

河 合 信 之

この研究は2019年度兵庫教育大学共同研究費の助成を受けています。

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The 3 rd. section��Experiment class and Findings

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Table 1: The answer to Q.1 and Q.2(Kawai2021)

Question 1 ② ② ● ●  

Question 2 ● ③ ●       

% student 12 18 5 65

   ○: correct, ●: wrong, n=57

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Initial Velocity = 0

Initial Velocity

Resultant Force=0

Statics

Resultant Force=0

⇔ Do not begin to move

Inertial Law

in the initial velocity=0

Dynamics

Resultant Force=0

⇔Do not accelerate/Decelerate

Inertial Law

Resultant Force≠0

Dynamics

Resultant Force≠0

⇔ Begin to move

Law of Motion

in the initial velocity=0

Dynamics

Resultant Force≠0

⇔Accelerate /Decelerate

Law of Motion

Conception to form

Conception of the Force is formed

by the principles of a Force

in the initial velocity=0.

Law of Force and Motion based on the conception of the Force.

Table 2: The balance of a force ( Kawakatsu 1992 )