A presentation presented by myself at the recent IEB Mathematics regional conference held on 10 February 2018 about the importance of Theory in Mathematical problem solving
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
Theory as foundation ieb presentation
1. Theory as foundation
The importance of theory in Mathematics as a tool to ensure
learners can solve complex problems.
Presented by Sarel van Greunen
AKA Mr vG
2. “Theory, oh theory, why should my time be wasted upon thee?”
Million dollar question:
3. Applied vs Pure Mathematics
Article written by Jeroen Strijbosch:
Applied vs. Pure Math – How we (Should) Design Math Education
Study done in 2016 by Organization for Economic Cooperation and Development (OECD)
about students writing the PISA test.
Written by students from 94 countries.
Excerpt from article:
“Andreas Schleicher, director of the education and skills department at the
OECD, explained it thusly: “Our analysis is [that] when students have really understood the
foundations, they can extrapolate. They can apply that knowledge in another
context. However, if they only teach students tips and tricks, how to solve small everyday
problems, they know how to solve those problems, but they’re not good at transferring
that knowledge to another context.””
7. Building your Mathematics house
Foundation
Walls
Windows
Doors
Roof
Definitions
Methods
Axioms
Conjectures
Formulas
Theorems with proofs
Reasoning
Problem solving
WHY?
HOW?
OR
WHAT?
8. What is our role as teachers?
Tools and Materials
9. What is our role as teachers?
Guidance and Mentoring