2) Students’ self learning
The students’ self learning began after the teacher presented
the open-ended problem. Behavior and students’ metacognitive
strategies were regarding students’ learning how to learn by
participating in problem solving in subgroups. One student was
the recorder of ideas on papers to present, and three students
participated in showing ideas by expressing their ideas. While
the student recorded ideas, the members examined ways of
thinking by taking an egg from the tray of 3 eggs to put on the
tray of 9 eggs so that 9 could became 10. In the first tray, 2
eggs were left, as shown in Figure 6
After finishing writing their first ideas, members in each
group helped each other check by reviewing the ideas, showed
their opinions towards and improved what they had done. During
the problem solving step, the students changed roles within
their groups. The strategies and ideas of problem solving which
students used as a thinking tool were considered as previously
learned: how to make ten, decomposing by writing blocks,
arrows to show thinking process, and descriptions of thinking
process using their own words. Students tried to show different
and various ways of thinking by writing to show the thinking
process as the Table 1. In addition, they studied the problem
together and asked questions in their groups while solving
problems. For students in each group who did not work on recording,
they worked on checking works instead from written
works of the groups, questioning and reasoning to make a mutual
conclusion
2) Students’ self learningThe students’ self learning began after the teacher presentedthe open-ended problem. Behavior and students’ metacognitivestrategies were regarding students’ learning how to learn byparticipating in problem solving in subgroups. One student wasthe recorder of ideas on papers to present, and three studentsparticipated in showing ideas by expressing their ideas. Whilethe student recorded ideas, the members examined ways ofthinking by taking an egg from the tray of 3 eggs to put on thetray of 9 eggs so that 9 could became 10. In the first tray, 2eggs were left, as shown in Figure 6 After finishing writing their first ideas, members in eachgroup helped each other check by reviewing the ideas, showedtheir opinions towards and improved what they had done. Duringthe problem solving step, the students changed roles withintheir groups. The strategies and ideas of problem solving whichstudents used as a thinking tool were considered as previouslylearned: how to make ten, decomposing by writing blocks,arrows to show thinking process, and descriptions of thinkingprocess using their own words. Students tried to show differentand various ways of thinking by writing to show the thinkingprocess as the Table 1. In addition, they studied the problemtogether and asked questions in their groups while solvingproblems. For students in each group who did not work on recording,they worked on checking works instead from writtenworks of the groups, questioning and reasoning to make a mutualconclusion
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