学堂: college, school (old)...
数码: number, numerals, figures, digital, amount, numerical code...
大家庭: extended family, big family, harmonious group...
太极拳: shadowboxing or Taiji, T'aichi or T'aichichuan, traditional form of physical exercise or relaxation, a martial art...
粪: manure, dung...
下: down, downwards, below, lower, later, next (week etc), second (of two parts), to decline, to go down, to arrive at (a decision, conclusion etc), measure word to show the frequency of an action...
相信: to be convinced (that sth is true), to believe, to accept sth as true...
代表团: delegation...
掉队: to fall behind, to drop out...
研究: research, a study, to research, to look into...