70ff949d_Conceptual_Framework___English__Description
[Mental model] Visualisation of a number line [Description] 
In my own experience, I am aware that I imagine a timeline of numbers when comparing numerical values, which I suggest has grown organically as I have developed numerical understanding. The numbers 1 to 10 are arranged in a semi-circle with a slightly tighter bend after 5. Another sharp bend between 10 and 12 leads to a gentle spiral from there until 30 after which an even more gentle curve leads to 100. After 100 a final line, almost straight, leads to 1000 and beyond. Other numerical contexts such as temperature, time and calendar dates, offer other shapes to the line and with significance perceived at key points by bends - 32 degrees Fahrenheit, 100 degrees centigrade, 0 degrees Kelvin, breakfast, tea-time, midnight, December 31st/January 1st, the centuries.... These mental models help me to estimate values and relate numerical symbols to real-world phenomena and decision making. If I attempt to draw this model on paper, as a conceptual model, it soon fails, since the mental perception often transcends three-dimensional space, showing and revealing features dynamically as needed.
Theoretical & Conceptual Framework — English
Description