Some questions you might want to consider to craft your response are the following: What are the differences between the Natural Sciences and the Formal Sciences? How do scientists use the inductive and the deductive reasoning?
What are the differences between the Natural Sciences and the Formal Sciences?
How do scientists use the inductive and the deductive reasoning?
What are the features of the Scientific Method? How is it different from the Cyclye of Scientific Thinking?
Why are sciences work exclusively with “testable” hypotheses? What is the importance of verification in science?
What is the role of logic in mathematics?
How and why is it important to consider the cultural aspects of mathematics?
How is convergent thinking different from divergent thinking? How do they relate to each other?
How is a “profound understanding of mathematics” (rather than just knowing the rule-guided procedure) helpful to teachers who want to integrated different subject areas?