The randomization in this study involves the two forms of asparaginase, Oncaspar and SC-PEG asparaginase. Because no one knows which of the study options is best, participants will be "randomized" into one of the study groups: to receive Oncaspar or to receive SC-PEG. Randomization means that participants are put into a group by chance. Participants who are placed in the Oncaspar group will receive a single dose of Oncaspar on Day 7 of the Remission Induction phase, and then every 2 weeks for 30 weeks starting in the CNS phase (16 total doses of Oncaspar). Participants placed in the SC-PEG group will receive SC-PEG asparaginase on Day 7 of the remission induction phase and then every 3 weeks beginning in the CNS phase (11 total doses of SC-PEG).