According to the definition in the course material, entrepreneurship is “the process of planning, organizing, operating, and assuming the risk of a business venture”. In the US, a small business is usually a business that has less than 250 employees.
I don’t really think one should dissociate both ideas because usually as an entrepreneur, when you start a new venture, it tends to have less than 250 employees.
However, being an entrepreneur nowadays also means investing in businesses, which sometimes are already well established businesses. It is possible for an entrepreneur to buy or invest in a business that has more than 250 employees. In this sense, entrepreneurship would be different than owning a small business.
If I start a business, I think I will share control with others and make all the participants wealthier because today, as the owner of a business, you do not necessary have all the skills or resources. For example, if I were to launch a project and I didn’t have all the financial means, I would try to find investors or business partners.
Secondly, I may not have skills in accounting/finance or in marketing, or even to recruit new employees, therefore I would find a manager in those fields. Because he has better skills and knowledge and would do the job better than I would.
The growth issues entrepreneurial companies face in my opinion would be finding the financial resources to grow or/and convincing potential investors about the project so they put their money in it.