중등 예비교사의 함수 관계 상황 표현 능력에 대한 조사 연구 = Preservice Secondary Mathematics Teachers` Situational Understanding of Functional Relationship

다국어 초록 (Multilingual Abstract)

This study investigates 55 preservice secondary mathematics teachers` situational understanding of functional relationship. Functional thinking is fundamental and useful because it develops students` quantitative thinking about the world and analytical thinking about complex situations through examination of the relations between interdependent factors. Functional thinking is indispensable for understanding natural phenomena, for investigation by science, and for the technological inventions in engineering and navigation. Therefore, it goes without saying that teachers should be able to represent and communicate about various functional situations in the course of teaching and learning functional relationships to develop students` functional thinking. The result of this study illustrates that many preservice teachers were not able to appropriately represent and communicate about various functional situations. Additionally, it shows that most preservice teachers have limited understanding of the value of teaching function.

참고문헌 (Reference)

1 "함수 개념 지도의 교수현상학적 접근" 대한수학교육학회 2 (2): 1-15, 1992

2 "학교수학에서의 함수 개념 지도 방법에 관한 고찰" 대한수학교육학회 8 (8): 381-403, 1998

3 "중학교 함수영역에서 수학적 모델링을 활용한 수행과제와 구체적 평가기준안 개발" 14 : 349-370, 2002

4 "중학교 함수영역에서 발생하는 수학적 오류에 대한 연구" 한국수학교육학회 36 (36): 11-22, 1997

5 황혜정, "수학교육학신론" 문음사 2002

6 "수학 학습-지도 원리와 방법" 서울대학교 출판부 2000

7 "변수 개념의 교수학적 분석 및 학습-지도 방향 탐색" 1997

8 "교수학적 처방에 따른 중학생들의 일차함수 오개념의 변화와 그 효과분석" 5 (5): 115-133, 2003

9 "교사의 수학적 지식에 대한 연구 함수개념과 관련하여" 한국수학교육학회 41 (41): 101-107, 2002

10 Shulman, "knowledge growth in teaching" 4-14, 1986

11 "foundations of the new reform" k (k): 1-22, 1987

12 "dependent variables to fickle pickers" 575-579, 1968

13 "Using functions to make mathematical connections Connecting mathematics across the curriculum pp National Council of Teachers of Mathematics" VA: Author. 54-64, 1995

14 "Transforming instruction about functions one veteran teachers' experience with an innovative secondary mathematics curriculum" Unpublished doctoral dissertation 1996

15 "The relationship of teachers' conceptions of mathematics teaching to instructional practice Educational Studies in Mathematics 15" 105-127, 1984

16 "The function concept in elementary algebra The Teaching of Algebra pp National Council of Teachers of Mathematics" Columbia University 52-73, 1932

17 "The Impact of a Teachers' Conceptions of Functions on His Implementation of a Reform Curriculum Journal for Research in Mathematics Education 29" Journal for Research in Mathematics Education 29 (29): 248-274, 1998

18 "Teachers' mathematical knowledge of the concept of function The concept of function aspects of epistemology and pedagogy Mathematical Association of America" maa (maa): 215-232, 1992

19 "Teachers' knowledge and structuring in mathematics School of Education" Stanford University 1985

20 "Prospective secondary mathematics teachers' conceptions of function: mathematical and pedagogical understandings" Unpublished doctoral dissertation 1999

21 "Prospective elementary and secondary teachers' understanding of division Journal for Research in Mathematics Education 21" 132-144, 1990

22 "Principles and Standards for School Mathematics" Virginia: NCTM. 2000

23 "One preservice secondary teacher's understanding of function the impact of a course integrating mathematical content and pedagogy Journal for Research in Mathematics Education 25" 346-370, 1994

24 "National Council of Teachers of Mathematics" Columbia University 1934

25 "Measuring the development of functional thinking in algebra The Teaching of Algebra pp National Council of Teachers of Mathematics" Columbia University 93-118, 1932

26 "Journal for Research in Mathematics Education 24" 94-116, 1993

27 "Integrating research on teaching and learning mathematics pp" Fennema SUNY Press 121-152, 1991

28 "Historical and pedagogical aspects of the definition of function International Journal of Mathematics Education in Science and Technology 11" 489-492, 1980

29 "Handbook of Research on Mathematics Teaching and Learning" Fennema Macmillan teachers' k (teachers' k): 147-164, 1992

30 "For the Learning of Mathematics 6" 198618-24

31 "Expertise in mathematics Journal of Educational Psychology 77" 247-271, 1985

32 "Experiencing functional relationships with a viewing tube 1995 Yearbook of the National Council of Teachers of Mathematics National Council of Teachers of Mathematics" 1995 Yearbook of the National Council of Teachers of Mathematics,VA: National Council of Teachers of Mathematics. 219-224, 1995

33 "Developing functional thinking in secondary school mathematics National Council of Teachers of Mathematics" Columbia University 42-56, 1928

34 "Curriculum and Evaluation Standards for School Mathematics" 1989

35 "Calculational and conceptual orientations in teaching mathematics Professional Development for Teachers of Mathematics 1994 Yearbook of the National Council of Teachers of Mathematics National Council of Teachers of Mathematics" 79-92, 1994

36 "Advances in research on teaching Teachers' knowledge of subject matter as it relates to their teaching practice 2" 1991

37 "A synthesis of research Handbook of research on mathematics teaching and learning pp" Macmillan 127-146, 1992

38 "A study in contrast sources of pedagogical content knowledge for secondary English Journal of Teacher Education 40" 24-31, 1989

39 "A case study of Joe School of Education" Stanford University 1987

40 "6차와 7차 교과서 분석을 통한 그래프 지도 방안" 대한수학교육학회 4 (4): 161-191, 2002