Contributions from elementary education to the practice and reality of critical thinking are rare, largely because attempts in basic education to elucidate a concept of critical thinking have a hard time breaking through the elusiveness and indeterminacy that characterize the history and reality of the concept. This situation is due to, and a consequence of, the difficulty of delimiting critical thinking from related fields, such as metacognition, higher-order-thinking, problem solving, informal logic, reasoning skills, and decision making, to name a few. Texas school authorities designed and put into practice a battery of tools to evaluate critical thinking through the assessment programs TAKS and STAAR, without taking a position regarding the indeterminacy problems of the content of critical thinking. The purpose of this study was to reconstruct the pieces of the critical thinking model imparted to Texas elementary school children since 1999 and continues today. The findings indicate that the critical thinking model implemented in Texas elementary schools is a particular version of a skills-only approach of critical thinking that follows the classical logical paradigm, consisting of two sets of complementary skills. This model acquaints students with the components and structure of five types of arguments while it fails to substantiate …