The student starts by creating four groups and distributing her 10 squares across those groups. When she realizes she has a remainder of two she must decide what to do with those last two squares. She decides to split them into halves and each group gets one half.
Closing in: She starts with one strategy by evenly distributing the squares ,but notices she has a remainder. In order to get closer to what she considers the answer, she has to shift her strategy and decides that splitting the squares is what is best to get her to her answer.
Inbetweeness: Similar to above, once she sees that she has two left over, she understands that her answer is going to have a fraction in it. By looking at what she has left and the number of groups there are, she understands that her answer will be between whole numbers.
Covariation: Once she recognizes that she has two pieces left, she understands she will need more than what she has to ensure everything is evenly distributed.She is looking to balance the equation. She demonstrates this by moving items around to their designated group. She also taps on the manipulative to show that it should be split into two to be evenly distributed.