In the future, I am sure there will be situations where books are not allowed and you will have to rely on your memory to demonstrate your knowledge and expertise. For me, this causes me anxiety. In job interview situations I may get anxious and would've benefited from the opportunity to reference a note to help jog my memory or ground my thinking.
There is a graphic which has been circulating on the Internet that is very interesting and made me think about my open book policy.
With all books being open, I have been equal in my practice. Though, in the class, not all students are operating at the same level. Some students may have learning challenges and require extra support so they are more on par with their peers; this is equity. Sometimes this hard for students to get, since they may think that certain students are getting favours. We are not all starting on the same footing, is how I would respond to this.
This image comes from http://culturalorganizing.org/the-problem-with-that-equity-vs-equality-graphic/ and looks at this image from a more critical standpoint and takes into consideration the social and political dimensions of Equity, Equality, and Justice. I won't get into it with the class, but you may want to take a look.
Same mean, different mode & median
This graph, which has been explained to the class, looks at how it is possible that a student may have the same average (mean) for a set of 5 tests, but the results may be different.
|Here we have a case, similar to the graph pictured, where all the test marks are the same and we have all three measures of mean, median, and mode being the same. 5 tests, with a score of 7 = 35 total marks.|
|In this case, I have moved some of the marks around, but the same total of 35 marks for all 5 tests remain. Our median is 8, our mode is 8, but our mean remains at 7.|
A few students stayed after school to ask about this Math. I pulled out the cubes to demonstrate how this morning's Math works:
Each column represents the test results. In this case, all of the results are the same: Each test produced a score of 8. So our mean, median, and mode are all 8.
In total, we have 40 cubes (5x8). This model represents the leveling aspect of the mean/average.
Sketches on a desk:
Thanks for asking! You can always ask for help.