This paper is a critique of the school education productivity evaluation and two research constructs germane to it, "teacher quality" and "teacher effectiveness." The paper will argue that policy inceptions of "teacher quality" and "teacher effectiveness" proxy for the productive capacity of schools and more broadly, school systems. Student achievement scores as determined by high stakes testing are the school education outputs of policy significance in current times while inputs thought to matter are increasingly tapered towards the particular characteristics of classroom teachers, specifically their quality (usually credentials) and effectiveness (teaching behaviours). The paper finds that attributing school system success largely to teachers and their work, especially in terms of their classroom teaching practice(s), distorts the school education policy agenda so that evaluations of school productivity purely serve accountability purposes.