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I am not familiar with Hattie's research, but I can attest from personal experience at the middle and high school level, that class size is absolutely critical for laboratory courses, where the teacher's attention must be simultaneously concentrated on individual problems and distributed among the entire class to maintain a semblance of order. A laboratory class size greater than about 18 is marginal at best if the teacher is unassisted, but can be adequately handled if the teacher has an assistant. Much larger than that and the problems quickly become unmanageable.
John Hattie's research says class size matters (particularly in lower grades), but not as much as most people think.