学堂: college, school (old)...
尺子: rule, ruler (measuring instrument)...
便是: (emphasizes that sth is precisely or exactly as stated), precisely, exactly, even, if, just like, in the same way as...
推理: reasoning, inference, to infer, to deduce...
渠道: irrigation ditch, channel, means...
盛产: to produce in abundance, to be rich in...
打: dozen, beat, strike, break, mix up, build, fight, fetch, make, tie up, issue, shoot, calculate, since, from...
教训: to provide guidance, to lecture sb, to upbraid, a talking-to, a bitter lesson...
相信: to be convinced (that sth is true), to believe, to accept sth as true...
珍稀: rare, precious and uncommon...
