A good example of students discovering different strategies to solve one problem
involved fishing. Part of one problem said that a family of six went fishing and caught a total
of ten fish. Everyone caught at least one fish. How many people in the family caught one fish
and how many people caught two fish? Students were required to write their own answer,
how they got that answer, the answers of other members of the group, and how the other
group members got their answers. This process resulted in students understanding that various
strategies can be used to solve this problem. For example, Patricia reported dividing eight by
two and two by one to get the answer that four people caught two fish and two people caught
one fish each. She then went on to report that “my members drew pictures of fishes and people
to understand it better and work out the problem.” Edna reported a different strategy for
solving this problem, “I got my answer by subtracting 10 minus 6 and gave me 4 because
number 10 was for all together and 6 was… the family.” Griselda reported that she subtracted
to get her answer, but her team members added to get the answer. “They looked at the total
number of fish and looked at how many people caught one fish and added four to give …ten
total fish.”
A good example of students discovering different strategies to solve one problem
involved fishing. Part of one problem said that a family of six went fishing and caught a total
of ten fish. Everyone caught at least one fish. How many people in the family caught one fish
and how many people caught two fish? Students were required to write their own answer,
how they got that answer, the answers of other members of the group, and how the other
group members got their answers. This process resulted in students understanding that various
strategies can be used to solve this problem. For example, Patricia reported dividing eight by
two and two by one to get the answer that four people caught two fish and two people caught
one fish each. She then went on to report that “my members drew pictures of fishes and people
to understand it better and work out the problem.” Edna reported a different strategy for
solving this problem, “I got my answer by subtracting 10 minus 6 and gave me 4 because
number 10 was for all together and 6 was… the family.” Griselda reported that she subtracted
to get her answer, but her team members added to get the answer. “They looked at the total
number of fish and looked at how many people caught one fish and added four to give …ten
total fish.”
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