So, what have you done in this session?
- In Part A, you started by looking at student work on a problem about triangles inscribed in a semi-circle. This activity called on both inductive and deductive methods, and introduced the idea of proof.
- In Part B, you investigated and developed informal and formal proofs about triangular and square numbers.
- In Part C, you developed working definitions of deductive reasoning, inductive reasoning, proof by mathematical induction, and also addressed the role of rigor in the high school mathematics classroom.
- In Part D, your focus was an enveloping functions problem and how a teacher promoted and assessed student skill in reasoning. Throughout this session we saw that reasoning and proof are the backbone of mathematics.
- In Part E, we've just asked you to make a lesson plan of your own.
But of course, things wouldn't be complete without another, you guessed it, journal. This final journal will mark your completion of the session.
Completing your journal