When it meets other fields.
In Newton, mathematical relationships connect problems of motion with questions about celestial bodies. Models and observations perform different roles: a deduction can be correct within its assumptions while still requiring testing when applied to the world. This distinction also helps when connecting mathematics with design, music, or engineering.
A way to begin.
Choose a simple relationship that you can represent with numbers and a drawing. Define each variable, change an assumption, and compare the result. Explain what you demonstrated and what you would need to observe before applying the model.
A QUESTION TO EXPLORE
Which relationship becomes visible when you describe a question precisely?Explore in the laboratory