3 ms·
I still believe that there is a misconception of what this document states. On page 5 of what you refer to, the authors state: The terms used in the engagem
by kxyvr 5y ago
I still believe that there is a misconception of what this document states. On page 5 of what you refer to, the authors state:
The terms used in the engagement section of this resource are ideas presented in the dismantling Racism workbook (2016) notebook, grounded on the work of Jones and Okun (2001). It is important to read this article first to fully understand the terms that are identified as characteristics of white supremacy culture in organizations. We contextualize these ideas into the math classroom to make visible how white supremacy culture plays out in these spaces.
It then lists a series of terms including Either/Or. The above quotation refers to a document found here:
https://www.thc.texas.gov/public/upload/preserve/museums/files/White_Supremacy_Culture.pdf https://www.thc.texas.gov/public/upload/preserve/museums/fil...
With respect to Either/Or thinking, it is defined on page 5:
Either/Or Thinking
• things are either/or, good/bad, right/wrong, with us/against us
• closely linked to perfectionism in making it difficult to learn from mistakes or accommodate conflict
• no sense that things can be both/and results in trying to simplify complex things, for example believing that poverty is simply a result of lack of education
• creates conflict and increases sense of urgency, as people are felt they have to make decisions to do either this or that, with no time or encouragement to consider alternatives, particularly those which may require more time or resources
antidotes: notice when people use either/or language and push to come up with more than two alternatives; notice when people are simplifying complex issues, particularly when the stakes seem high or an urgent decision needs to be made; slow it down and encourage people to do a deeper analysis; when people are faced with an urgent decision, take a break and give people some breathing room to think creatively; avoid making decisions under extreme pressure
As far as whether or not Either/Or has a place in modern mathematical thinking, I will contend the answer is a resounding no, but it does certainly depend on what you or I believe that concept means. To me, and I believe to the authors, it means the false dichotomy fallacy. In this definition, it has no place because it would lead to false proofs. In many ways, it could be considered the incorrect application of the pigeonhole principle:
https://en.wikipedia.org/wiki/Pigeonhole_principle https://en.wikipedia.org/wiki/Pigeonhole_principle
If we falsely assume that there are only two holes when there are more, proofs based on this assumption will not be true. I'll also contend that the concept of Either/Or does not refer to the logical disjunction, similar to a programming or. It's a different idea and not what these documents are referring to.
But, really, you don't need to take my word for it. The authors do define what they mean by each of these terms in the above document. I will contend all of these documents need to be considered together in order to understand what California is proposing.