Technology

Stationary Wave Interactive using ChatGPT

I wanted to challenge ChatGPT to produce a complex interactive in order to prove that it is possible for teachers without much programming background to work with it as well.

This time, it was a lot more trial and error. The first major problem was when I thought the usual javascript library for graphs, Chart.JS would work. However, what I produced as a wonky wave in both directions that somehow attenuated as it travelled even though the equation of the waves did not have a decay factor.

The equation was generated by ChatGPT but looked like a normal sinusoidal function to me:

var y1 = Math.sin(2 * Math.PI * x / wavelength - 2 * Math.PI * time / period);

This is what the wonky graph looks like:

My suspicion is that Chart.JS makes use of points to form the curve so animating so many points at one go put too much demand on the app.

I then asked ChatGPT to suggest a different library. It then proceeded to make a new app with Plotly.JS, which works much better with moving graphs. This impressed me. I am learning so much with this new workflow. The final interactive graph can be found here:

I decided to add more functions after the first page was ready. While it took me about an hour to get the first page right with about 15 iterations mainly due to the wrong javascript library used, adding in more sliders to make the interactive more complex with variable wavelengths, periods and amplitudes took less than 10 minutes.

I shall just share the prompts that were given after I realised that plotly.js is the way to go.

Prompts for the index page:

  1. Create a graph using plotly.js with a vertical axis for displacement of wave particles and a horizontal axis for distance moved by a wave. .
  2. Draw the curve of an infinitely long transverse wave moving along the horizontal axis.
  3. Create another infinitely long transverse wave of the same wavelength moving in the opposite direction along the same horizontal axis. Represent them in different colours.
  4. Use a slider to change the period of oscillation of both waves and another slider to change the wavelength of the waves.
  5. Each wave should have the same wavelength.
  6. Revised prompt: Keep the vertical axis fixed in height, equal to the maximum possible amplitude of the third wave.
  7. Revised prompt: Keeep the legend of the chart to the bottom so that the horizontal axis length is fixed at 640 pixels

Prompts for the second page:

  1. Have separate sliders for the amplitudes, periods and wavelengths of wave 1 and wave 2.
  2. Display the values of the sliders next to them.

Kinematics Graphs with Variable Initial Velocity and Acceleration

I used ChatGPT to create this simple interactive graph. Including the time taken to make 2 rounds of refinement using more prompts and the time it took to deploy it via Github, it took about 15 minutes from start to end.

The first prompt I used was :

Create a graph using chart.js with vertical axis being “displacement / m” and horizontal axis being “time / s”. There should be a slider for the initial velocity value ranging from 0 to 2 m/s, a slider for the acceleration value ranging from -2 m/s^2 to 2 m/s^2. The displacement will start from zero and will follow a function dependent on the initial velocity and acceleration values from the slider. Draw the line of the displacement on the graph. Update the graph whenever the sliders are moved.

The results of the first attempt is shown above. It is already functional, with the initial velocity and acceleration sliders working together to change the shape of the graph.

The function it used to calculate displacement is based on the kinematics equation $s = ut + \dfrac{1}{2}at^2$, written as

    displacement.push(0.5 * acceleration * t * t + initialVelocity * t);

After the first successful attempt, I gave some refinement prompts like:

Show the values of the velocity and acceleration, along with the units.

Use drop-down list to change the vertical axis to velocity or acceleration, updating the axis each time and the curve as well.

So the second attempt looked like this

ChatGPT got 1 out of 2 requests correct. The values of the velocity and acceleration were intended to be displayed next to the sliders. It must have been because I was not clear enough. Hence, the last refinement I asked for was :

Give the codes to show the values of velocity and acceleration next to the sliders. Just those codes.

I didn’t want to get ChatGPT to generate the entire page of html and javascript again so I targetted the specific codes that I needed to change.

It was helpful in telling me where to update these codes. So at the end of the day, this is what was obtained after I made some manual tweaks to change the way the unit is displayed (e.g. m s-2 instead of m/s2):

It was good enough for my purpose now. The web app can be sent to students as a link (https://physicstjc.github.io/sls/kinematics-graph) or embedded into SLS as a standalone app. For use in SLS, do note the following:

  1. The html file must be named index.html
  2. The chart.js file must be copied and saved in the same zipped file at the same level as the index.html file. Change the path of the Chart JS from <script src=”https://cdnjs.cloudflare.com/ajax/libs/Chart.js/3.7.0/chart.min.js”></script> to <script src=”chart.min.js”></script>.
  3. For reference, this is what it looks like when zipped.

Graph Plotting App made with ChatGPT in 15 minutes

As evidence of the prowess of generative AI, this graph plotting app was created in about 15 minutes with simple prompts and a text editor. It was tested with an existing set of data and uploaded immediately to the repository.

The user will begin by uploading a set of data from an experiment, with the column header being the labels for the axes, in the form of a CSV file. The app immediately calculates and displays the best-fit straight line using linear regression, providing users with insights into the relationships between the variables in the dataset. This allows for easy analysis of trends, patterns, and relationships within the data. Students can use the app to quickly visualize and analyze data. The screenshot button enables them to save the graph in picture form for submission to their teachers.

It has also been made compatible with the Student Learning Space. The screenshots saved by students can be uploaded as an attachment for a free-response question. This is especially useful when students are doing lab work and the teacher does not want the students to bother too much with configuring the graph. The ZIP file for use in the SLS can be downloaded here.

Prompts used are:

  1. Create a website using html and javascript for users to plot a graph using data from a csv file.
  2. The user can upload a csv file with the first column being the horizontal axis and the second column being the vertical axis.
  3. The column headers, which is the first set of values in the csv file, will form the labels for the axes of the graph.
  4. Plot the points with the data in the csv file and use linear regression to obtain the best-fit straight line of the data.
  5. The best fit line should be a line joining two red dots.
  6. Indicate the gradient and intercept of the best-fit line.
  7. Add a button at the bottom for users to take a screenshot of the graph.
  8. Put all the codes in one html file.

Dice Simulation to Teach Probability

A dice simulation is an excellent tool for teaching probability because it provides a hands-on, visual way for students to understand the concepts of probability through experimentation and observation.

In the simplest demonstration, students should be able to predict and observe that a fair six-sided dice gives equal probability of outcome and hence, almost equal total occurrences given a large-enough sample size.

Students can then be asked to predict the probability distribution if given two dice.

The good thing is that with simulations, students get to compare the experimental probabilities they calculated with the theoretical probabilities and discuss any discrepancies and reasons for them. This allows students to understand the concept of randomness and how experimental results may vary from theoretical expectations due to chance.

Click here to access the simulator and here to download it for SLS.

The prompts used for ChatGPT are as follow:

Provide the code for the following in a single html file:

  1. Create a 6-sided dice simulator where the user can click on the image of a dice, the dice image will change randomly and the final result will be shown on the image.
  2. The dice image will be represented by the file “dice1.png” for the number 1, “dice2.png” for number 2, “dice3.png” for number 3 and so on. The image size is 80 pixels by 80 pixels.
  3. The default setting shows one dice. The initial image shown is “dice1.png”.
  4. Create a button to cast the dice.
  5. Create a bar chart with 6 vertical columns at the bottom that shows the frequency of the numbers obtained by the dice. Adjust the bar chart to show all 6 possible outcomes.
  6. Each time the dice is cast and the result is shown, it is added to a list shown below the chart.
  7. Create a button for an option to toggle between the use of one dice or two die. When this button is clicked, the list of results and the bar chart is cleared. The initial images shown are both “dice1.png”. If two die are used, both die will be shown side by side.
  8. Both die will be cast when clicking on either dice. The bar chart now shows the frequency of the total of the numbers obtained by the die. Adjust the bar chart such that it now has 12 vertical columns show all 12 possible outcomes.
  9. The total number for each toss will be shown in the list.

Team-based learning app


Team-Based Learning (TBL) is a method of small-group learning that encourages student collaboration and engagement.

Prior to the group discussion, students are assigned preparatory readings to ensure they come to class with a foundational understanding of the material. Students then individually complete an Individual Readiness Assurance Test (iRAT) followed by the same test taken with their team, the Team Readiness Assurance Test (tRAT). The tests typically consist of multiple-choice questions.

The no-tech version of tRAT involves having students use a “scratch-off” sheet to self-score their group test, facilitating immediate feedback and discussion among team members. An appeal can be made by teams to challenge questions they answered incorrectly. The process promotes critical thinking and deeper understanding of the material.

To conclude, teachers then focuses on concepts that students found challenging during the assessments.

Since I had been experimenting with the use of ChatGPT to make simple educational apps, I came up with an online tRAT quiz that replaces the “scratch-off” sheet. To modify the quiz options, use this. The teacher will have to edit the csv file with the correct option for each question. The html and csv files can then be uploaded onto a web host such as Amazon S3 or, for the case of Singapore teachers, the Student Learning Space.

For those who are keen to experiment with the use of ChatGPT 3.5 to generate codes, these are the prompts I used. Do note that your results may differ and some customisation or refinement of the prompts might be needed.

Provide the code for the following in a single html file:

  1. Create a website for users to key in their answers to a tRAT quiz for checking.
  2. The answers will be referenced from a csv file containing the question number in the first column and the answer to the multiple choice question (A, B, C or D) in the second column.
  3. The quiz will display the question number and 4 options: A, B, C and D. The user will choose the answer from the 4 options.
  4. If the first option is the correct answer, the letter will become light green and 4 marks will be added to the overall score. If it is the wrong answer, the letter will become dark grey and no marks will be added.
  5. The user will get to try a second time for the same question. If the second option is the correct answer, the letter will become light green and 2 marks will be added to the overall score. If it is the wrong answer, the letter will become dark grey and no marks will be added.
  6. The user will get to try a third time for the same question. If the third option is the correct answer, the letter will become light green and 1 mark will be added to the overall score. If it is the wrong answer, the letter will become dark grey and no marks will be added. There will not be a fourth time for the same question.
  7. Getting it correct on the second try should only get 2 marks added. On the third try, only 1 mark will be added if correct.
  8. The total score will be shown at the bottom of the page.
  9. There will be two other buttons to move to the next question or back to the previous question. Don’t jump to the next question automatically.

Edit: I have also generated a simple webpage for the iRAT assessment tool.

Creating Learning Apps Using ChatGPT

Simulating an Oscillation

Despite learning some time ago that ChatGPT can help with coding, I had not had the chance to test it out. Since I had a pocket of time available to explore last week, I keyed in the following prompt:

“Create a simulation of an oscillating particle moving from left to right with simple harmonic motion with a slider to control the period of oscillation using javascript, html and css.”

I then cut and pasted the code in its entirety into a html file and this is the output:

https://physicslens.github.io/shm/

This is what it looks like, in case you do not want to click into the link above.

Of course, more work needs to be done to improve the usability but I believe some of that can be done using ChatGPT as well. A basic knowledge of the programming language will certainly help to refine the user interface or add new functions.

Extending the oscillation to include 100 particles each with a constant phase difference, we can simulate a wave :

https://physicslens.github.io/shm/oscillator3.html

Simluation of oscillation with variable period

For the second simulation, I used the following prompt:

“Create a simulation of particles moving horizontally with simple harmonic motion. The simulation should display 100 particles arranged vertically, each oscillating horizontally at a different phase. The horizontal motion of the particles should simulate simple harmonic motion, with their positions following a sine wave pattern. The amplitude of oscillation should be set to 100 pixels, and the period of oscillation should be controlled by a slider input with a range from 0.1 to 2 seconds. The particles should be confined within a container with a fixed width of 600 pixels and a height of 400 pixels. The slider input should be positioned at the bottom of the container. The simulation should update the positions of the particles at regular intervals to create the illusion of continuous motion.”

Flashcards

Next, I tried creating an webpage that allows students to practise recalling definitions of specific terms that are obtained from a csv file. This is the prompt I gave:

“Create a revision webpage using html, javascript and css that references a csv file in the same folder with three columns: “topic”, “term” and “definition”. There should be a filter for the “topic” field. Each term in the “term” field will be displayed in turn using a left and right button. Another button labelled “Definition” will be used to show or hide the corresponding “definition” field at the bottom. Put all the script and style codes in the html file.”

At first, the button to display the definitions did not appear as ChatGPT misunderstood my instructions.

After making some adjustments, this is the link to the functioning site:

https://physicslens.github.io/definitions/

and this is the refined html file:

All you have to do is to update the csv file with the topics, terms and definitions and ensure the index file is in the same folder as the data.csv file.

The best part for Singaporean teachers is, the zip file can be uploaded as a file into SLS and students can use it to test their recall of key terms.

Conclusion

The rise of generative AI is indeed creating new opportunities for learning, even for teachers. What used to require long hours of learning can now be condensed into a session with ChatGPT. We will still need to give very specific instructions which require some basic understanding of the product. At the same time, we need to be able to make tweaks here and there, but that should be easier since we have the basic structure of the product already.