This study begins the task of mapping out two approaches that may be helpful in overcoming incorrect responses to conservation tasks, focusing on the non-conserved quantity. The incorrect responses, which were the result of over-generalizations of conservation, and gradually increased with age despite formal knowledge and minor perceptual input, were explained as being consistent with the intuitive rule "same A--same B." The following paper presents initial findings, involving 60 students (5th, 7th, 9th grade), who were presented with "authentic tasks" and 40 9th grade students who were presented with "extreme tasks." As data show, in both "authentic tasks" and extreme tasks, the percentage of participants' correct responses was higher compared to students' responses to formal analogue tasks, although there was no difference in participants' declarative judgments. Indeed, further research is needed to improve students' responses and judgments not only in analogous and everyday tasks but also on how learning tasks can be designed, and to understand the observed gap between the students' performance and their declarative knowledge.