Which of the following types of employment does not involve a direct contract with the employer?

In employment contexts, self-employed individuals operate as independent contractors rather than as traditional employees. This means they do not enter into a direct contract of employment with an employer like part-time, temporary, or full-time workers do. Instead, self-employed individuals provide services to clients or customers and manage their own business operations, which allows for greater flexibility and independence.

Considering the other employment types: part-time, temporary, and full-time arrangements typically involve a contractual agreement that outlines the terms of employment between the employee and their employer, including responsibilities, pay, work hours, and other conditions. Therefore, self-employment stands apart because it lacks this direct contract relationship with an organization, making it the most appropriate answer to the question.