Numeracy from Practice to Theory: Using Interactive Case Studies
"Numeracy is to numbers what literacy is to letters:" a basic skill that must be acquired in real, authentic contexts. In this workshop, we surface teachers' (and participants') beliefs on how context helps or hinders students' successful problem-solving, and see how interactive tools can build understanding of a challenging concept in statistics, within an engaging context. The practical understanding gained from these contexts then builds theoretical understanding of the concepts they necessitated.
Workshop Recap & Interactives
- How To Create an Interactive Case Study
- Brief introduction to building interactive data and charts using form controls in Microsoft Excel.
Watch on YouTube (5 min.) - Online Interactive Case Study Examples
- Use data from 2000 NAEP 4th-grade math scores in three states, which are confounded across racial categories, to discover how Simpson's Paradox works:
Simpson's Paradox Tool- Beginning with Sweden's income distribution (most equitable in the world), adjust income levels by quintile to approximate other countries:
Income Inequality Tool
Motivation for this tool, from a PBS NewsHour segment inspired by Norton & Ariely's 2011 work:
Watch on YouTube (3:17) - Beginning with Sweden's income distribution (most equitable in the world), adjust income levels by quintile to approximate other countries:
Resources
- Workshop Slides
- Download (PDF)
- Workshop Video
- On education spending and performance, and Simpson's Paradox
Watch on YouTube (3 min.) - Supporting Articles
- Nathan & Koedinger 2000
An Investigation of Teachers' Beliefs of Students' Algebra Development. Cognition and Instruction 18(2), 209-237.
Koedinger & Nathan 2004
The Real Story Behind Story Problems: Effects of Representations on Quantitative Reasoning. J. Learning Sciences 13(2), 129-164.
Terwilliger & Schield 2004
Frequency of Simpson's Paradox in NAEP Data. AERA 2004.