Thinking AI ?

 

 

These days many school exams / professional qualification exams, consist of questions with 4  Multiple Choice answers, of which, one answer is the RIGHT answer and the other three answer-choices are WRONG

An examinee is expected to choose just any ONE option

Till some time ago ( and , in many cases , even now ) , such Questions and their respective 4 answer-options, were constructed manually by a teacher

However of late , this task is gradually being taken over by Artificial Intelligence ( AI ) , using a huge database of questions to choose from

But what about those 4 Multiple Choice “ Answers “ ?

I suppose , for those , there are no huge databanks of “ answers “ from which to select , one correct and three “ incorrect “ answers

I have no clue , but that made me carry out following experiment

I posed to different AI , same “ Question “ and asked each to generate 4 “ Answer Options “ of which one is right and the other three are wrong

Following is the outcome of my little experiment

 

Dear Parents / Teachers :

 

Some of you will notice that different AI seem to have come up with different “ CORRECT ANSWERS “ to , what purports to be the SAME QUESTION ?

Whereas I do not rule out the possibility of “ hallucination “ , the more likely explanation for this ( seeming difference of opinion ) is >  The way this question got re-structured by each AI,  it could lend itself to different interpretations – and , therefore different answers

But that should not deter you from turning this into a FUN GAME for your School-going children

There is no better way to make their minds, CURIOUS – INQUISITIVE – INQUIRING

 

With regards,

Hemen Parekh

05 Oct 2024  /  www.My-Teacher.in

 

 My Question :

When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60º with horizontal, it can travel a distance x1 along the plane. But when the inclination is decreased to 30º and the same object is shot with the same velocity, it can travel x2 distance. Then xx12: will be

 

ANSWER-OPTIONS SUBMITTED BY VARIOUS AI PLATFORMS :

 

( 1 )  www.My-Teacher.in

x12: will be

2:1

1:3 ..   Correct

1:2

1:2

 

Using the third equation of motion and the relationships for inclined motion, we derive that for case (I) with angle 60º, the distance travelled is given by ººººººx1=u22gsin⁡(60º) and for case (II) with angle 30º, it is ººººººx2=u22gsin⁡(30º). 

The ratio is then ººººººººººººx1x2=sin⁡(60º)sin⁡(30º)=3/21/2=3:1, simplifying gives the answer 1:3.

 

( 2 )  ChatGPT

Good Morning!

I do remember our chat yesterday about reverse engineering.

Let's dive into this interesting physics problem you’ve shared. I'll generate four multiple-choice answers with only one correct and three incorrect options, followed by my thoughts on how this approach can foster curiosity among students.

Question:

An object is shot from the bottom of a long smooth inclined plane kept at an angle 60º with the horizontal. It can travel a distance x1x_1x1​ along the plane. But when the inclination is decreased to 30º and the same object is shot with the same velocity, it can travel x2x_2x2​ distance. What will x1x2\frac{x_1}{x_2}x2​x1​​ be?

Multiple Choice Answers:

1.     x1x2=1\frac{x_1}{x_2} = 1x2​x1​​=1 ( Wrong Answer )

2.     x1x2=2\frac{x_1}{x_2} = 2x2​x1​​=2 ( Wrong Answer )

3.     x1x2=3\frac{x_1}{x_2} = \sqrt{3}x2​x1​​=3​ ( Right Answer )

4.     x1x2=13\frac{x_1}{x_2} = \frac{1}{\sqrt{3}}x2​x1​​=3​1​ ( Wrong Answer )

Explanation:

When the same object is shot with the same velocity but at different inclinations, the distances covered along the plane differ due to the change in inclination. Without going into the full derivation, the correct ratio x1x2\frac{x_1}{x_2}x2​x1​​ is 3\sqrt{3}3​.

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Should Teachers Use This Approach to Spark Curiosity?

Absolutely! This approach can be highly effective in making students curious and engaged for several reasons:

1.     Encourages Critical Thinking:

By presenting both correct and incorrect options, students are prompted to analyse each option carefully, increasing their understanding of concepts.

2.     Promotes Active Learning:

Students aren’t just passively memorizing answers. They need to use logic and reasoning to eliminate wrong options and find the correct one, which stimulates their inquiry-driven learning.

3.     Fosters Curiosity:

Encountering wrong answers challenges students to ask, "Why is this option wrong?" which leads to a deeper investigation of the subject matter.

4.     Builds Confidence:

When students successfully identify the correct answer after analysing the options, it builds their confidence and motivates further exploration.

So yes, this method is a great way to cultivate an inquisitive and curious mind-set among students!

 

( 3 )  GEMINI

Prompt:

Create a multiple-choice question with four options for a physics problem, where only one option is correct.

Question:

When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60º with horizontal, it can travel a distance x1 along the plane. But when the inclination is decreased to 30º and the same object is shot with the same velocity, it can travel x2 distance. Then x1/x2 will be:  

Options:

1.     1/3 Wrong Answer

2.     1/√3 Right Answer

3.     √3 Wrong Answer

4.     3 Wrong Answer

Explanation: The distance travelled by an object on an inclined plane depends on the sine of the angle. So, x1/x2 = sin 60º / sin 30º = √3/1 = √3.

Regarding school teachers adopting this method:

Yes, school teachers should definitely adopt this method of presenting questions with multiple choices.

It can stimulate curiosity and critical thinking among students.

By providing multiple options, teachers can encourage students to analyse and evaluate different possibilities, leading to a deeper understanding of the subject matter.

This approach can also help students develop problem-solving skills and improve their confidence in their abilities.

 

( 4 ) PERPLEXITY

Absolutely! Here's a multiple-choice question based on your scenario regarding the distances travelled along inclined planes at different angles:

Question

When an object is shot from the bottom of a long smooth inclined plane kept at an angle of 60º with the horizontal, it can travel a distance x1x1​ along the plane. But when the inclination is decreased to 30º and the same object is shot with the same velocity, it can travel a distance x2x2​. What is the ratio x1x2x2​x1​​?

Options

1.    A) 1:2 - Wrong Answer

2.    B) 2:1 - Right Answer

3.    C) 1:√3 - Wrong Answer

4.    D) √3:1 - Wrong Answer

Explanation

The correct answer is x1x2=2:1x2​x1​​=2:1. This is derived from the physics of projectile motion and the effects of different inclinations on the distance traveled.

On Teaching Methods

Incorporating multiple-choice questions like this can indeed foster curiosity and inquisitiveness among students. Here are a few reasons why:

·         Critical Thinking: Students must analyse each option, enhancing their critical thinking skills.

·         Engagement: The format can make learning more interactive and engaging.

·         Self-Assessment: It allows students to assess their understanding of concepts and encourages them to explore further if they find themselves unsure.

In short, using such methods in education can stimulate curiosity and promote a deeper understanding of subjects!

 

( 5 ) META

Here are four multiple-choice options for the question:

Option A: x1/x2 = 2 - Wrong Answer
Option B: x1/x2 = 1 - Wrong Answer
Option C: x1/x2 = √3 - Right Answer
Option D: x1/x2 = 3 - Wrong Answer

Explanation:

When the object is shot from the bottom of the inclined plane, it travels under the sole influence of gravity. The component of gravity along the plane is g sin(θ), where θ is the angle of inclination.

At 60º, the acceleration along the plane is g sin(60º) = g√3/2.

At 30º, the acceleration along the plane is g sin(30º) = g/2.

Since the initial velocity is the same, the ratio of distances travelled (x1/x2) is equal to the ratio of accelerations.

x1/x2 = (g√3/2) / (g/2) = √3

This method of questioning encourages critical thinking, problem-solving, and analytical skills, making students curious, inquisitive, and inquiring.

It's an excellent approach for teachers to adopt!

Such questions help students:

1.     Develop problem-solving strategies

2.     Apply concepts to real-world scenarios

3.     Think creatively

4.     Build confidence in their abilities

By incorporating open-ended and thought-provoking questions, teachers can foster a deeper understanding of concepts and promote a love for learning.