It might be useful to have a chapter with examples on how to use ChatGPT in math teaching specifically. Some rough sketches:
Create Monte Carlo simulations for estimating probabilities:
Please write me a well-commented Python program that estimates the probability that at least two persons share birthday, in my class of 31 students. Use the Monte Carlo method. (Expand to check the probability that at least X student share a birthday.)
Please write me a well-commented Python program that estimates the probability that at least two out of three dice show the same number. Use the Monte Carlo method.
Describe mathematical methods step by step:
Can you write me a well-commented Python program that solves quadratic equations? (Expand to include non-real solutions.)
Please write me a well-commented Python program that solves an exponential equation on the form a*b^(kx) = c
Illustrate some concepts in mathematics:
Please write me a well-commented Python program that estimates the area under the graph described by f(x) by splitting it into a given number of rectangles.
All these examples concern writing small computer programs. Perhaps that should be a focus, perhaps not.
Some more:
I have a CSV file with numbers that I need to process, with one number per line. But some of the numbers have spaces or commas inserted. Please write me a PowerShell script that removes all the spaces and commas. (Or an Excel command, is probably better...)
It might be useful to have a chapter with examples on how to use ChatGPT in math teaching specifically. Some rough sketches:
Please write me a well-commented Python program that estimates the probability that at least two persons share birthday, in my class of 31 students. Use the Monte Carlo method.(Expand to check the probability that at least X student share a birthday.)Please write me a well-commented Python program that estimates the probability that at least two out of three dice show the same number. Use the Monte Carlo method.Can you write me a well-commented Python program that solves quadratic equations?(Expand to include non-real solutions.)Please write me a well-commented Python program that solves an exponential equation on the form a*b^(kx) = cPlease write me a well-commented Python program that estimates the area under the graph described by f(x) by splitting it into a given number of rectangles.All these examples concern writing small computer programs. Perhaps that should be a focus, perhaps not.
Some more:
I have a CSV file with numbers that I need to process, with one number per line. But some of the numbers have spaces or commas inserted. Please write me a PowerShell script that removes all the spaces and commas.(Or an Excel command, is probably better...)