Online Geometry Fall Session: Deductive Reasoning

This workshop can be a stand-alone or you can consider the geometry package of 4 workshops. Schedule: 6-sessions, Meeting Tuesday and Thursday on Zoom for 3 weeks for one-hour live sessions with Michael Waski.

• Cost: $195 USD
• Webinar dates: October 12, 14, 19, 26, 28 and November 2
• Time: Live workshop time is 7:00pm ET-US. All workshops are recorded and emailed to all participants.

Course content:

Session 1: Deductive Reasoning through Games

Deductive vs. Inductive Reasoning: An Introduction

Guess My Number Game

Clueless Crosswords

Color Square Game

Other Games

Session 2: Introduction to Formal Logic

Basic Truth Tables

Compound Truth Tables

Implications

Tautologies and Contradictions

Logical Equivalences

Session 3: Greek Philosophy and Axiomatic Systems

The Quest for Truth: Philosophy and Mathematics

The MU Puzzle

Euclid’s Definitions, Postulates, and Common Notions

The Parallel Postulate (Time Permitting)

Session 4: The Six Basic Constructions

Equilateral Triangle

Perpendicular Bisector

Perpendicular through a Point on the Line

Perpendicular through a Point not on the Line

Angle Bisector

Copying an Angle

Session 5: Extensions with the Constructions Part 1

May Include:

constructing all types of triangles

all quadrilaterals

regular polygons

centers of triangles

tangents

square roots

inscribing and circumscribing figures

dissecting segments

demonstrating geometric theorems

Session 6: Extensions with the Constructions Part 2

Continuation of Session 5

Conclusion

Format: 6 live-webinars with lesson instruction, then optional independent work and videos. (All webinars will be recorded and shared with participants.)

Wish to purchase Teaching Geometry to the Adolescent: A Montessori Approach? Follow this link.

Certificates of Completion will be emailed