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E-grāmata: Mathematics Teaching and Learning: South Korean Elementary Teachers' Mathematical Knowledge for Teaching

  • Formāts: PDF+DRM
  • Izdošanas datums: 24-Mar-2015
  • Izdevniecība: Springer International Publishing AG
  • Valoda: eng
  • ISBN-13: 9783319135427
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  • Formāts: PDF+DRM
  • Izdošanas datums: 24-Mar-2015
  • Izdevniecība: Springer International Publishing AG
  • Valoda: eng
  • ISBN-13: 9783319135427

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The purpose of this research is to identify the categories of South Korean elementary teachers’ knowledge for teaching mathematics. Emerging from the data collected and the subsequent analysis are five categories of South Korean elementary teachers’ knowledge for teaching mathematics: Mathematics Curriculum Knowledge, Mathematics Learner Knowledge, Fundamental Mathematics Conceptual Knowledge, Mathematics Pedagogical Content Knowledge, and Mathematics Pedagogical Procedural Knowledge. The first three categories of knowledge play a significant role in mathematics instruction as an integrated form within Mathematics Pedagogical Content Knowledge. This study also demonstrated that Mathematics Pedagogical Procedural Knowledge might play a pivotal role in constructing Mathematics Pedagogical Content Knowledge. These findings are connected to results from relevant studies in terms of the significant role of teachers’ knowledge in mathematics instruction.
1 Introduction
1(12)
1.1 Why Does Elementary Teachers' Knowledge Matter?
1(2)
1.2 Purpose of the Study and Research Questions
3(1)
1.3 Framework
4(3)
1.3.1 Theoretical Orientation
4(2)
1.3.2 Conceptual Framework
6(1)
1.4 Definition of Terms
7(2)
1.5 Overview of the
Chapters
9(4)
References
10(3)
2 A Pedagogical Overview of Relevant Literature
13(20)
2.1 Introduction
13(1)
2.2 Sociocultural Theory
14(1)
2.3 History of Research on Teachers' Knowledge for Teaching Mathematics
15(5)
2.3.1 Research on Teachers' Knowledge for Teaching Mathematics
16(2)
2.3.2 Historical Context of Research on Teachers' Knowledge for Teaching Mathematics in South Korea
18(2)
2.4 Research on Teachers' Knowledge for Teaching Mathematics
20(6)
2.4.1 Shulman's Research on Teachers' Knowledge for Teaching
21(2)
2.4.2 Fennema and Franke's Research on Teachers' Knowledge for Teaching Mathematics
23(1)
2.4.3 Hill, Ball, and Schilling's Research on Teachers' Knowledge for Teaching Mathematics
24(2)
2.4.4 Mishra and Koehler's New Category of Teachers' Knowledge for Teaching
26(1)
2.5 Interpretive Summary and Critical Analysis
26(7)
References
28(5)
3 Methodological Approaches
33(16)
3.1 Introduction
33(1)
3.2 Research Design
34(2)
3.2.1 Multiple Case Studies Approach
34(1)
3.2.2 Sociolinguistic Tradition and Grounded Theory
34(2)
3.3 Participants
36(2)
3.4 Settings
38(4)
3.5 Data Collection
42(2)
3.5.1 Interviews
42(1)
3.5.2 Observations
43(1)
3.5.3 Lesson Plans
43(1)
3.5.4 Procedures
43(1)
3.6 Data Analysis
44(5)
References
47(2)
4 Context of Elementary Mathematics Education in South Korea
49(14)
4.1 Introduction
49(1)
4.2 The National Curriculum in South Korea
50(3)
4.3 The National Curriculum and Education Fever in South Korea
53(3)
4.4 The National Mathematics Curriculum at the Elementary Level in South Korea
56(3)
4.5 Summary
59(4)
References
60(3)
5 Knowledge for Teaching Mathematics Category I: Mathematics Curriculum Knowledge
63(14)
5.1 Introduction
63(1)
5.2 Mathematics Curriculum Knowledge in Mathematics Instruction
64(10)
5.2.1 Using MCK When Developing an Instructional Process
64(7)
5.2.2 Using MCK When Teaching the Lesson in a Classroom
71(1)
5.2.3 Using MCK When Assessing Students' Work
72(2)
5.3 Interpretive Summary
74(3)
References
75(2)
6 Knowledge for Teaching Mathematics Category II: Mathematics Learner Knowledge
77(22)
6.1 Introduction
77(1)
6.2 Mathematics Learner Knowledge
78(6)
6.3 MLK in Mathematics Instruction
84(11)
6.3.1 Using MLK When Developing an Instructional Process
84(6)
6.3.2 Using MLK When Teaching the Lesson in a Classroom
90(1)
6.3.3 Using MLK When Assessing Students' Work
91(4)
6.4 Interpretive Summary
95(4)
References
96(3)
7 Knowledge for Teaching Mathematics Category III: Fundamental Mathematics Conceptual Knowledge
99(20)
7.1 Introduction
99(1)
7.2 Fundamental Mathematics Conceptual Knowledge
100(2)
7.3 Fundamental Mathematics Conceptual Knowledge in Mathematics Instruction
102(13)
7.3.1 Using FMCK When Developing an Instructional Process
103(5)
7.3.2 Using FMCK When Teaching the Lesson in a Classroom
108(6)
7.3.3 Using FMCK When Assessing Students' Work
114(1)
7.4 Interpretive Summary
115(4)
References
117(2)
8 Knowledge for Teaching Mathematics Categories IV and V: Mathematics Pedagogical Content Knowledge and Mathematics Pedagogical Procedural Knowledge
119(18)
8.1 Introduction
119(1)
8.2 The Nature of Categories of Knowledge for Teaching Mathematics
120(2)
8.3 The Relationship Among Categories of Knowledge for Teaching Mathematics
122(6)
8.4 Mathematics Pedagogical Content Knowledge
128(3)
8.5 Mathematics Pedagogical Procedural Knowledge
131(2)
8.6 The Structure of South Korean Elementary Teachers' Knowledge for Teaching Mathematics
133(2)
8.7 Interpretive Summary
135(2)
References
136(1)
9 Summary, Conclusions, and Implications
137(12)
9.1 Introduction
137(1)
9.2 Summary of the Study
137(3)
9.3 Discussion of Findings
140(3)
9.3.1 Mathematics Curriculum Knowledge
140(1)
9.3.2 Mathematics Learner Knowledge
141(1)
9.3.3 Fundamental Mathematics Conceptual Knowledge
142(1)
9.3.4 Mathematics Pedagogical Content Knowledge and Mathematics Pedagogical Procedural Knowledge
142(1)
9.4 Conclusions and Implications
143(3)
9.5 Limitations of this Study
146(1)
9.6 Recommendations for Future Research
146(1)
9.7 Closing Comments
147(2)
References
147(2)
Index 149
Rina Kim has Ph. D in Curriculum and Instruction from Boston College. She works as an elementary school teacher in South Korea and teaches courses in mathematics education at Seoul National University of Education. Her academic focus is mathematics education at the elementary level. Her research interests also include using technology to improve the quality of mathematics instruction. She has published her research in leading journals in her field and presented papers at major research conferences. Her other recent book is Reading, Writing, and Discussing at the Graduate Level: A Guidebook for International Graduate Students coauthored with Lillie R. Albert and Hang Gyun Sihn.

Lillie R. Albert, an associate professor at Boston College Lynch School of Education, has a Ph.D. in Curriculum and Instruction from the University of Illinois at Urbana-Champaign. Her research focuses on the influence that sociocultural historic contexts have on learning and development of learners across the lifespan. Her specialization includes the exploration of the relationship between the teaching and learning of mathematics and the use of cultural and communicative tools to develop conceptual understanding of mathematics, which includes collaborating with mathematics education scholars at Seoul National University of Education, Seoul, South Korea to explore government policies in supporting the preparation of mathematics teachers. She has published her research in leading national and international journals in her field and presented papers at major research conferences. Her other recent books are Rhetorical Ways of Thinking: Vygotskian Theory and Mathematical Learning, in collaboration with Danielle Corea and Vittoria Macadino and Reading, Writing, and Discussing at the Graduate Level: A Guidebook for International Graduate Students coauthored with Rina Kim and Hang Gyun Sihn.