If anyone is still out there reading this blog after I took a long hiatus, please indulge me with a response. How do you define algebra?
I just came from a great PD led by the lovely Kara Imm. She brought research concerning the lack of “algebraic thinking” in K-6 math, where arithmetic is taught almost exclusively and algebra is the step that follows for “those who are ready.” (I think some high school teachers have this mindset about Calculus. Students need to learn Geo/AlgII/PreCalc really well “to be ready” to start Calculus.)
So if (as research shows) it would be better to teach arithmetic and algebraic thinking from the start, can we first define algebra?