MQI를 이용한 예비교사와 현직교사의 수학수업의 질 분석
Analysis of Mathematical Quality of Instruction between Preservice and Inservice Mathematics Teachers9
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This study analyzed the quality of mathematics classes with observations using the instrument, MQI(Mathematical Quality of Instruction). Class recordings and interviews were conducted on 2 pre-service teachers and 4 in-service teachers. This study recorded and analyzed 3 or 4 classes for each mathematics teacher by using revised MQI. There were a total of 8 raters: 2 or 3 raters analyzed each class. MQI has four dimensions: Richness of the Mathematics, Working with Students and Mathematic, Errors and Imprecision, Student Participation in Meaning-Making and Reasoning. In the dimension of ‘Richness of Mathematics’, all teachers had good scores of ‘explanations of teacher’ but had lower scores of ‘linking and connections’, ‘multiple procedures or solution methods’ and ‘developing mathematical generalizations.’ In the dimension of ‘Working with Students and Mathematics’, two in-service teachers who have worked and having more experience had higher scores than others. In the dimension of ‘Errors and Imprecision’, all teachers had high scores. In the dimension of ‘Student Participation in Meaning-Making and Reasoning’, two pre-service teachers had contrast and also two in-service teachers who hadn’t worked not long had contrast. Implications were deducted from finding to improving quality of mathematics classes.
Abstract
This study analyzed the quality of mathematics classes with observations using the instrument, MQI(Mathematical Quality of Instruction). Class recordings and interviews were conducted on 2 pre-service teachers and 4 in-service teachers. This study recorded and analyzed 3 or 4 classes for each mathematics teacher by using revised MQI. There were a total of 8 raters: 2 or 3 raters analyzed each class. MQI has four dimensions: Richness of the Mathematics, Working with Students and Mathematic, Errors and Imprecision, Student Participation in Meaning-Making and Reasoning. In the dimension of ‘Richness of Mathematics’, all teachers had good scores of ‘explanations of teacher’ but had lower scores of ‘linking and connections’, ‘multiple procedures or solution methods’ and ‘developing mathematical generalizations.’ In the dimension of ‘Working with Students and Mathematics’, two in-service teachers who have worked and having more experience had higher scores than others. In the dimension of ‘Errors and Imprecision’, all teachers had high scores. In the dimension of ‘Student Participation in Meaning-Making and Reasoning’, two pre-service teachers had contrast and also two in-service teachers who hadn’t worked not long had contrast. Implications were deducted from finding to improving quality of mathematics classes.
참고문헌 (38)
- 강명희, "국가수준 학업성취도 평가에 나타난 고등학생의 지각된 교사태도, 학습태도, 학업성취도, 학교생활만족도 간의 구조적 관계 규명", 교육과학연구, 45(1), pp.181~203 (2014), 교육과학연구소
- 김성경, "수학수업의 질과 수업에서 발현되는 PCK 요소의 관련성 연구", 박사, pp.2015
- 김진희, "중학교 일정성분비의 법칙 수업에서 드러난 과학교사의 PCK 연구", 박사, 공통과학교육전공, pp.2013
- 방정숙, "예비 초등 교사의 좋은 수학 수업에 대한 인식", 수학교육, 51(2), pp.145~160 (2012), 한국수학교육학회[DOI]
- 방정숙, "좋은 수학 수업에 대한 교사들의 인식 - 초·중등 교사의 인식 비교를 중심으로 -", 수학교육 논문집, 26(3), pp.317~338 (2012), 한국수학교육학회
- 우연경, "수학과 영어교과에서의 학습동기, 학업참여 및 학업성취 간 구조적 관계", 교육방법연구, 27(2), pp.253~273 (2015), 한국교육방법학회
- 유기종, "좋은 수학 수업에 대한 고등학교 수학 교사의 선호도 비교", 수학교육, 55(1), pp.129~145 (2016), 한국수학교육학회
- 이대현, "수학과 좋은 수업 사례에 대한 질적 분석", 한국학교수학회논문집, 9(3), pp.249~263 (2006), 한국학교수학회
- 강현영, "좋은 수학수업과 교사 전문성 개발에 대한 현직수학교사 인식 조사 : 학교급 및 교육경력에 따른 차이 조사", 수학교육, 51(2), pp.173~189 (2012), 한국수학교육학회[DOI]
- 서경혜, "좋은 수업에 대한 관점과 개념: 교사와 학생 면담 연구", 교육과정연구, 22(4), pp.165~187 (2004), 한국교육과정학회[DOI]
- 장혜원, "수학사의 한 넓이 문제에 대한 초등 수학 우수아의 풀이 다양성 탐색", 한국수학사학회지, 21(4), pp.153~168 (2008), 한국수학사학회
- 교육과정 개정에 따른 수학과 내용 교수지식(PCK) 연구, "최승현", 한국교육과정평가원, ~, pp.한국교육과정평가원 연구보고 RRI 2007-3-2 (2007)
- Anthony, G., "Charactecristics of effective teaching of mathematics: A view from the west", Journal of Mathematics Education, 2(2), pp.147~164 (2009)
- Baumert, J., "Teachers' mathematical knowledge, cognitive activation in the classroom, and student progress", American Educational Research Journal, 47(1), pp.133~180 (2010)
- Begle, E. G., "Critical variables in mathematics education: Findings from a survey of the empirical literature" (1979), Mathematical Association of America and National Council of Teachers of Mathematics
- Blazar, D., "The causal impact of having a math teacher whose instruction is high quality: Exploiting within-school between-grade variation in scores from an observation instrument", pp.2013
- Bowles, S., "Education, Income, and Human Capital", pp.9~70 (1970), National Bureau of Economic Research
- Process-product correlations in the Texas teacher effectiveness study: Final report, "Brophy, J.", Research and Development Center for Teacher Education, University of Texas at Austin, ~ (1974)
- Teacher behavior and student achievement, "Brophy, J.", Inst. for Research on Teaching, Michigan State University, ~, pp.Occasional Paper No. 73 (1984)
- Campbell, P. F., "The relationship between teachers' mathematical content and pedagogical knowledge, teachers' perceptions, and student achievement", Journal for Research in Mathematics Education, 45(4), pp.419~459 (2014)
- Charalambous, Y. C., "Preservice teachers' mathematical knowledge for teaching and their performance in selected teaching practices: Exploring a complex relationship", Doctor, pp.2008
- Copur-Gencturk, Y., "The effects of changes in mathematical knowledge for teaching: A longitudinal study of teachers’ knowledge and instruction", Journal for Research in Mathematics Education, 46(3), pp.280~330 (2015)
- Creswell, J. W., "Qualitative inquiry and research design: Choosing among five approaches" (2007), Sage
- Dreyfus, T., "Advanced Mathematical Thinking", pp.25~41 (1991), Kluwer
- Hill, H. C., "Mathematical knowledge for teaching and the mathematical quality of instruction: An exploratory study", Cognition and Instruction, 26(4), pp.430~511 (2008)
- Hill, H. C., "Effects of teachers’ mathematical knowledge for teaching on student achievement", American Educational Research Journal, 42(2), pp.371~406 (2005)
- Gathering feedback for teaching: Combining high-quality observations with student surveys and achievement gains. Research Paper. MET Project, "Kane, T. J.", Bill & Melinda Gates Foundation, ~ (2012)
- A coding rubric for measuring the mathematical quality of instruction, "Learning Mathematics for Teaching", University of Michigan, School of Education, ~, pp.Technical report LMT1.06 (2006)
- "Mathematical Quality of Instruction (MQI) coding tool" (2010)[URL]
- Learning Mathematics for Teaching, "Measuring the mathematical quality of instruction", Journal of Mathematics Teacher Education, 14(1), pp.25~47 (2011)
- Leinhardt, G., "Expertise in mathematics instruction: Subject matter knowledge", Journal of Educational Psychology, 77(3), pp.247~271 (1985)
- Ma, L., "Knowing and teaching elementary mathematics: Teachers' understanding of fundamental mathematics in China and the United States" (1999), Lawrence Erlbaum Associates
- McCrory, R., "Knowledge of algebra for teaching: A framework of knowledge and practices", Journal for Research in Mathematics Education, 43(5), pp.584~615 (2012)
- Munter, C., "Developing visions of high-quality mathematics instruction", Journal for Research in Mathematics Education, 45(5), pp.584~635 (2014)
- National Council of Teachers of Mathematics, "Principles and standards for school mathematics", National Council of Teachers of Mathematics, ~ (2000)
- Shulman, L. S., "Those who understand: Knowledge growth in teaching", Educational Researcher, 15(2), pp.4~14 (1986)
- Yin, R. K., "Case study research: Design and methods" (2009), Sage
- Zemelman, S., "Best practice: Today's standards for teaching and learning in America's schools" (2005), Heinemann