| Summary: | 碩士 === 國立彰化師範大學 === 科學教育研究所 === 93 === Trying Out the Problem Centered Double Cycles Instructional Model
in a Mathematical Classroom of Seventh Grade
Su-Fang Liu
Abstract
The purpose of this study was to investigate how to practice the Problem Centered Double Cycles (PCDC) instructional model in mathematical classroom, and its effects on the students’ learning. The action research was adopted in this study. A class of seventh grader was the subjects and their mathematics lesson was taught by the researcher with using PCDC teaching for one year. The data collection included class observations, interviews, students’ learning journals, questionnaires, the researcher’s teaching journal, and small group discussion reports. The data analysis included content analysis, interacting analysis, and t-test with the SPSS.
The findings of this study were: First, regarding the four key points of PCDC: （1）Task: good tasks were those questions with open-ended and/or with small steps. These tasks were selecting or revising from textbook, students’ questions, or designing by students or teacher. The revised Mathematics in Context materials were very useful for students to learn and construct mathematical concept.（2）Guidance：keeping asking questions to guide students to solve problems, using proper teaching instruments, making students do mathematics, encouraging students emotionally to participation, and applying APOS theory to guide students to make mental constructions.（3）Environment: The appropriate seats and grouping created good classroom learning environment. Time control and managing students’ reporting resolved the pressure of keeping teaching schedule, teacher lessened her authority in the classroom control created a beneficial environment for teaching and learning.（4）Analysis: Reflections improved teaching. Finally, there were 70% of the students held positive attitudes on the PCDC model teaching model. The result showed that the students’ need of cognition was promoted also.
Keywords: action research, mathematics teaching change, need for cognition, PCDC.
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