Presentation made at the Statistics Indaba on 15 March 2017 to teachers to create awareness about the importance of Statistics for school students.

1. Sarel van Greunen
Mathematics and AP Mathematics Teacher
Statistics and
Mathematical Reasoning

2. What is Mathematical reasoning?
• Solving problems
• Deciphering real-life scenarios in a Mathematical way
• Making sense of Mathematics

3. How does Statistics fit in here?
• Lay-man’s definition of Statistics:
Making sense of numbers
• Statistics teaches the basic principle of conjecturing

4. Mathematical Reasoning
Foundation
Walls
Windows
Doors
Roof
Definitions
Methods
Axioms
Conjectures
Properties
Statements/Theorems
Reason
Problem solving

5. Conjecture
• What do you think of when you see the following pictures?
https://img.wonderhowto.com/img/31/86/63550363988846/0/do-
makeup-bruised-halloween-black-eye-bloody-nose.1280x600.jpg
http://lafdatv.com/wp-content/uploads/2016/07/wife-final.jpg

6. Conjecture
• Conjecturing is a crucial skill
• Help learners to look at historic data AND make predictions about
future events
• Teach students to not make conclusions based on biased data
• Teach students the process of questioning data
• Train them the basic skills needed for Masters and Doctorates
degrees.