1.What are some of the situations in which we use estimation? What aspects of mathematical ability is it related to?
2.What are the goals of estimation? What seems to be the problem regarding students views of estimation?
3.What is computational estimation? Why do you think rounding is the most common approach when children estimate?
4.What two primary mental representations of numerical magnitude do children use? What is the relationship between these representations andage and experience?
5.How can the ability of estimation be improved by playing board games?
6.How can learning geometry help you learn the principles of algebra? Why is it important for children to know the properties of similar triangles before they know the properties of the slope of a straight line?
7.What is Piagets theory of spatial development? Is Piagets spatial development model a strong one? Why or why not?
8.What is the dominant theory of geometric reasoning in mathematics education today? Describe.
9.What do you think are the causes of same-perimeter/same-area misconception and the illusion of linearity?
