Final answer:
Don likely has higher logical-mathematical intelligence than technological intelligence, with the former associated with problem-solving and mathematical operations, and the latter with navigating new technologies, a skill not explicitly defined by Gardner's Multiple Intelligences.
Step-by-step explanation:
The correct answer to the statement "Don is very good at solving difficult calculus problems, but he has tremendous difficulty programming his new smartphone. Don likely has much higher _____ intelligence than _____ intelligence." is (a) Logical-mathematical; technological.
This conclusion is drawn based on the concept of Gardner's Multiple Intelligences, which suggests that individuals have different kinds of intelligences or capabilities. Don's ability to solve calculus problems points to a high logical-mathematical intelligence, which pertains to the capacity to analyze problems logically, carry out mathematical operations, and investigate issues scientifically. On the other hand, the question implies a contrast with Don's ability to navigate technology, which can be viewed as a separate skill set not specifically covered by Gardner's established categories of intelligence. Nevertheless, for the sake of alignment with the question's structure, 'technological intelligence' is mentioned, though it is not formally recognized as a separate intelligence in Gardner's theory.