Question

write a caption that would describe their their notion of development

Answer 1

The Notion is an "adequate concept" (for example, Marx's definition of capitalism as the society of "generalised commodity production"), but it is not yet a whole concrete theory-and-practice of the thing, which is the outcome of a whole process of development of the notion in its interconnection with practice. The development of the Notion is this process, from for example, the discovery of the Periodic Table of Elements and the concept of the molecule to modern chemistry and the chemical industry.
We could think of the Notion as the main principle of understanding a thing, the basic principle of a science, the core of someone's personality, the key role of a social proce