HW reading: Lockhart's Lament

I agree that mathematics, like other art forms, should be subject to critical appraisal based on criteria such as soundness, elegance, and simplicity. This aligns with the idea that mathematics is not just a mechanical exercise but a creative pursuit where the quality of mathematical arguments and solutions can be assessed and appreciated in much the same way as the quality of a piece of literature or a musical composition. This perspective can foster a deeper understanding and appreciation of the aesthetic aspects of mathematics.

I would disagree with the statement that mathematics is completely irrelevant to our lives. While some aspects of mathematics may seem abstract and disconnected from everyday experiences, mathematics plays a fundamental and essential role in various practical applications and real-world problem-solving. Mathematics is not only an abstract pursuit but also a powerful tool used in fields such as science, engineering, technology, finance, and many others. It helps us understand the world, make predictions, solve complex problems, and improve our daily lives in numerous ways.

A point of contact with Skemp's article is the emphasis on the importance of understanding and intuition in mathematics education. Both Lockhart and Skemp's article advocate for a deeper, more meaningful engagement with mathematical concepts rather than rote memorization of facts and procedures.

A point of contrast could be that Skemp's article delves into the distinction between instrumental understanding and relational understanding in mathematics, whereas Lockhart focuses more on the creative and imaginative aspects of mathematics. Skemp's article discusses the importance of fostering relational understanding, which involves grasping the underlying concepts and connections between different mathematical ideas, while Lockhart emphasizes the joy of exploring mathematical ideas for their own sake and as a form of artistic expression.