Somewhere deep down there I know I know what 1/4 x 5 is...
It is amazing that you can challenge yourself to recall information you learned 5...10...(shh) 30 years ago, and voila! There it is. It was actually a really empowering feeling to realize my mind still contains information it hasn't used in ... well years.
In some ways though, the ignorance and the difficulty is also encouraging. It puts us in the shoes of our students, who constantly think "I should know this! Everyone else knows this" and start to beat themselves up when they "lack" or "fail." Already, on day one, I have placed myself in the student's chair, and (like all that latent math know-how) know that these realizations will stay with me as a teacher.
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