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...Mathematics teaching research journal online vol n winter constructivized calculus a subset of constructive barbara ann lawrence ed d borough manhattan community college cuny abstract the purpose this paper is to demonstrate importance in today s curriculum spirit philosophies lej brouwer and errett bishop history will be presented gives numerical meaning quantifies concepts main goal identify how which based on can serve as tool for engineers scientists computer economists business majors applied mathematicians classical or traditional contains many existence theorems states that quantity exists but these do not indicate find version describes result it used practical purposes introduction finds roots intuitionist philosophy leopold kronecker l e j starting strongly criticized about its idealism lacking fifty years later resurrected by referred constructivist movement according appears then there are certain mathematical statements merely evocative make assertions without empirical va...