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?