1. Lisa: Lisa is in the Preoperational Stage. In the first experiment, with the checkers task, Lisa showed that she doesn’t understand the concept of conservation. When both rows had the same amount of checkers, but one was just spread out more and slightly changed its shape, she said the spread out row had more checkers. Again, with the water glass task, Lisa believes that when the height of the liquid changes the water in the glass is a different amount. With the third task, Lisa doesn’t have the mental operations to compare the sticks, and doesn’t put them in the correct order (largest to smallest). In the final task, we conclude that Lisa is definitely in the Preoperational Stage. She was not able to figure out who was the tallest, and goes on what she observes instead.
Juan: Juan is in the Concrete Operational Stage. With the checkers experiment he did understand the concept of conservation. He said even though the checkers changed shape there were still the same amount there. With the water glass task, Juan recognized the quantity in the two glasses is not changed when the liquid is poured into a wider or narrower glass. With the seriation task, Juan understands how to arrange the sticks in length but with a trial and error approach. He didn’t make a mental comparison before picking the sticks up. In the fourth task, Juan fails at picking who was the tallest. We can see here that he doesn’t make the mental comparisons clear enough, and is not good at the verbal form of the seriation problem. With these tasks we are able to see that Juan is in the Concrete Operational Stage. He understands the concept of conservation, but does not fully understand seriation.
Keiko: Keiko is in the Formal Operations Stage. In the checkers experiment she, without a doubt, knew that the two rows still had the same amount of checkers in them, even after the appearance of the rows changed. Just like Juan, Keiko recognizes that even though the