Unit 3 - Authentic Tasks
Unit Objectives
Given a problem scenario from the real-world, participants will be able to design authentic problem-based tasks to be used in their own classrooms.
Getting Ready
Introduction
This unit introduces three problematic tasks which are authentic in nature. Each task contains necessary resources, as well as information about how the lesson can be implemented. Upon browsing each task pay close attention to the role-shifts, structure, and authenticity.
Examples of Authentic Problems
A Billion Nickels is a real-world problem supported/inspired by popular media. Mathematical content is primarily from the middle grades, but opportunities for extension exist.
Waiting in Line is a problem that is inspired by real-world contexts. Content ranges from the middle grades to high school algebra.
Sustainable Packaging is a real-world problem which focuses on the topic of sustainability. It is well-suited to be supported by other content areas. Content ranges from middle school mathematics to the principles of calculus.
Reflection
How do these tasks compare with tasks in a traditional classroom? Discuss any specific role-shifts and structure changes that you see evident.
Put it into Practice
- 1. Spend some time researching problematic mathematics tasks. A good resource to use is Mathalicious. It is a subscription-based site, with some lessons free of charge, and locked lessons may inspire lessons to use in your own classroom. Feel free to search for and use your own resources as well. Determine how you might teach each lesson? What features are missing from lessons that you might add?
- 2. Design your own lesson/task based upon a problem that you encountered recently that could be solved using mathematics. Share your lesson with a colleague, and encourage them to do the same.
References and Resources
What I Would Do With This: Groceries
Zero Knowledge Proofs - A Billion Nickels
Wiki Links
Move on to Unit 4 - Assessing Problem Based Learning Activities