Both of these passages refer to two young boys, Daniel and Bob, who need to aid their ill mothers. However, their stories are contrasted through the setting and time this action takes place. The first story is set in 1861, most probably on Oregon trail which was widely used by travelers throughout the 19th century. The boy's mother is ill and in need of fire so he is faced with the danger of losing her if he doesn't find firewood in the freezing prairie.
The second boy is in a similar situation. However, this setting is placed in the safety of a house with a "fairly new furnace". The time of the action in 2005. Bob's mother's life is not in danger and he simply needs to call Chicago Power Company and find some warm blankets in ordered to solve the issue of the lack of heat.
Both of these boys have similar problem, but the difference in historical eras, place and the technological development makes these boys' lives very different. Where the first one is faced with the life or death situation which he has to solve all by himself, without any help, the second one just needs to make a phone call and wait for others to help him without worrying excessively.