Dimes & Quarters - in {coins, value} space

Dimes & Quarters are two applets that represent the same problem in two different ways.[br][br]Jane has 8 coins. Some are dimes and some are quarterss. Among them they have a total value of $1.55[br]How many dimes and how many quarters does Jane have? [br][answer 5 quarters, 3 dimes][br][br]One graphical representation of the problem shows the problem in the {coins,$} plane and the other[br]graphical representation shows the problem in the {dimes,quarters} plane.[br][br]Study the two representations carefully -[br] [br]How are the numbers of dimes and the number of quarters represented in the {coins,$} plane? [br]How are the number of coins and the value of the coins represented in the {dimes,quarters} plane?[br]How are the quantities $/dime and $/quarter represented in each of the two planes?[br][br]Which representation do you think provides you with more insight? Why?[br][br][color=#ff0000][i][b]What questions could / would you put to your students based on this applet ?[/b][/i][/color]

Information: Dimes & Quarters - in {coins, value} space