“On the Cruelty of Really Teaching Computing Science” is a 1988 paper by E. W. Dijkstra[1] which argues that computer programming should be understood as a branch of mathematics, and that the formal provability of a program is a major criterion for correctness.
Despite the title, most of the article is on Dijkstra’s attempt to put computer science into a wider perspective within science, teaching being addressed as a corollary at the end. Specifically, Dijkstra made a “proposal for an introductory programming course for freshmen” that consisted of Hoare logic as an uninterpreted formal system.
Since the term "software engineering" was coined, formal verification has almost always been considered too resource-intensive to be feasible. In complex applications, the difficulty of correctly specifying what the program should do in the first place is also a common source of error. Other methods of software testing are generally employed to try to eliminate bugs and many other factors are considered in the measurement of software quality.
The notion that cost of production of hardware should be a constraint in programming was foreign to Dijkstra. He viewed the cost controls as artifacts that could become excuses and the controls of nature as nonexistent in digital systems, which above the level of circuits guarantee a second, constructed nature.
Until the end of his life, Dijkstra maintained that the central challenges of computing hadn’t been met to his satisfaction, due to an insufficient emphasis on program correctness (though not obviating other requirements, such as maintainability and efficiency).[2]
Computer science as taught today does not follow all of Dijkstra's advice. Following Dijkstra's earlier writings, the curricula generally emphasize techniques for managing complexity and preparing for future changes. These include abstraction, programming by contract, and design patterns. Programming techniques to avoid bugs and conventional software testing methods are taught as basic requirements, and students are exposed to certain mathematical tools, but formal verification methods are not included in the curriculum except perhaps as an advanced topic.[3] So in some ways, Dijkstra's ideas have been adhered to; however, the ideas he felt most strongly about have not been.
There is also greater emphasis on the social aspects of programming, such as learning how to program as part of a team, and how to write code that is easily re-used by other people. Some institutions focus more on pleasing the computing industry by teaching the most popular programming languages, or teaching the use of commonly available development tools, than they do on imparting the foundational concepts of computing science.