Take a moment to think about how we learn language. We start out by listening to parents and family members for the first two years of our life and then we eventually begin to talk. Only after we have learned to listen and verbalize our language are we able to express ourselves in the written form. Math education should be no different but unfortunately it is! Far too often we expect our students to be able to write mathematically without ever having the time to solidify their thinking by listening and verbalizing to others.
If you’re a math teacher ask yourself:
Could your students go a week without writing numerals in math class and still learn?
Could you teach math concepts without ever writing numerals?
The thought of this blows my mind and is fascinating at the same time. The modeling and conversations that would have to take place would far surpass the teaching strategies that are currently employed in elementary schools and beyond for that matter. Now don’t get me wrong, there’s definitely a place for writing in a math class with journals, equations, and expressions…I get that! But far too often the emphasis on the end product is on the written math and not the process (and that saddens me). What if we shifted our instruction away from numerals and focused on the modeling of math and the representation of one’s understanding.
Because of that thought, now I want extend this idea of not using numerals through middle school. We’re not moving cheese…we’re making a whole new brand!!!
By removing numerals from the K-8 classroom the focus shifts from writing and algorithms to modeling and communicating which should be a heart of every math lesson because they scream integration of the 8 Standards for Mathematical Practice. How many times have I tried to explain to a struggling student a concept through the use of numerals? No wonder why they never “get it”!
If I keep pushing and forcing an understanding down their throat I’ll never get in! I feel like the cartoon. As a teacher, I can’t possibly expect my students to develop a conceptually understanding if I can only teach them through the abstractness of numerals. I’m sure this idea makes a lot of people mad and you may say I’m nuts…but could you do it? Could you teach math without numerals? If not, what is it that’s holding you back? Maybe it’s an over-reliance on the abstractness of numerals!