İlköğretim Matematik Öğretmen Adaylarının Hacim Ölçmede Birim Kullanmaya Yönelik Kavrayışları
Yıl 2012,
Cilt: 1 Sayı: 1, 21 - 30, 01.06.2014
Yasemin Esen
Erdinç Çakıroğlu
Öz
Bu çal mada ö retmen adaylarNitel yöntemlerin kullan ldadaylarbelirlenerek betimlenmeye çalölçme birimi ile ölçülmesi s ras nda bir ö rencinin geli tirebilece i çözümlerden birisi ö retmen adaylar na verilmi tir. 24 ö retmen aday ndan senaryoda verilen çözümü incelemeleri, ö rencinin geli tirdi i yaklado rulu unu de erlendirmeleri istenmi tir. Bu esnada hacim ölçmeyle ilgili dü ünceleri ile standart olmayan birimlerle hacim ölçmeye yönelik yakla mlar sorgulanm
Kaynakça
- Adler, J., Ball, D., Krainer, K., Lin, F., & Novotna, J. (2005). Reflections on an emerging field: Researching mathematics teacher education. Educational Studies in Mathematics, 60, 359-381.
- Ball, D. L. (1988). Knowledge and Reasoning in Mathematical Pedagogy: Examining What Prospective Teachers Bring to Teacher Education. YayÕnlanmamÕú doktora tezi. Michigan State University, East Lansing.
- Ball, D. L., & Bass, H. (2003). Making mathematics reasonable in school. J. Kilpatrick, W. G. Martin, &
- D. Schifter (Ed.), A Research Companion to Principles and Standards for School Mathematics içinde (s. 27-44). Reston, VA: National Council of Teachers of Mathematics.
- Ball, D.L., Hill, H.H., & Bass, H. (2005). Knowing mathematics for teaching: Who knows mathematics well enough to teach third grade, and how can we decide? American Educator, 29, 14-46.
- Ball, D. L., Lubienski, S., & Mewborn, D. (2001). Research on teaching mathematics: The unsolved problem of teachers' mathematical knowledge. V. Richardson (Ed.), Handbook of research on teaching (4th ed.) içinde (s. 433-456) New York: Macmillan.
- Battista, M. T., & Clements, D. H. (1996). Students’ understanding of three-dimensional rectangular arrays of cubes. Journal for Research in Mathematics Education, 27(3), 258-292.
- Battista, M. T. (2003). Understanding students’ thinking about area and volume measurement. D. H. Clements & G. Bright (Ed.), Learning and teaching measurement içinde (s. 122-142). Reston, VA: National Council of Teachers of Mathematics.
- Battista, M. T. (2007). The development of geometric and spatial thinking. F. K. Lester, Jr. (Ed.) Second Handbook of Research on Mathematics Teaching and Learning içinde (s. 843-908), Charlotte, NC: Information Age Publishing.
- Even, R. (1993). Subject-matter knowledge and pedagogical content knowledge: prospective secondary teachers and the function concept. Journal for Research in Mathematics Education, 24(2), 94-116.
- Hill, H. C., Rowan, B., & Ball, D. L. (2005). Effects of mathematical knowledge for teaching on student achievement. American Educational Research Journal, 42(2), 371-406.
- Kaput, J. J. (1987). Representation systems and mathematics. C. Janvier (ed.), Problems of representation in the teaching and learning of mathematics içinde (s. 19-26), Hillsdale, NJ: Lawrence Erlbaum.
- Leinhardt, G. (1988). Getting to know: Tracing students' mathematical knowledge from intuition to competence, Educational Psychologist, 23(2), 119-144. Leinhardt, G. (1990). Capturing craft knowledge in teaching. Educational Researcher, 19(2), 18-25.
- Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4-14.
- Shulman, L. S. (1987). Knowledge and teaching: Foundations of the new reform. Harward Educational Review, 57(1), 1-22.
- Ponte, J. P., & Chapman, O. (2008). Preservice mathematics teachers' knowledge and development. L. English (Ed.), Handbook of international research in mathematics education (2nd ed) içinde (s. 225- 263). New York, NY: Routledge.
- Wilson, P. S., & Rowland, R. (1993) Teaching measurement. R. Jensen (Ed ), Research ideas for the classroom: Early childhood mathematics (NCTM Research Innovation Project) içinde (s. 171-194). New York: Macmillan.
- Zembat, ø. Ö. (2010) Ölçme Temel Bileúenleri ve SÕk KarúÕlaúÕlan Kavram YanÕlgÕlarÕ. Bingölbali, E., & Özmantar, M.,F.(Ed.)ølkö÷retimde KarúÕlaúÕlan Matematiksel Zorluklar ve Çözüm Önerileri içinde (s.127-154). Ankara: Pegem Akademi YayÕncÕOÕk.
Yıl 2012,
Cilt: 1 Sayı: 1, 21 - 30, 01.06.2014
Yasemin Esen
Erdinç Çakıroğlu
Kaynakça
- Adler, J., Ball, D., Krainer, K., Lin, F., & Novotna, J. (2005). Reflections on an emerging field: Researching mathematics teacher education. Educational Studies in Mathematics, 60, 359-381.
- Ball, D. L. (1988). Knowledge and Reasoning in Mathematical Pedagogy: Examining What Prospective Teachers Bring to Teacher Education. YayÕnlanmamÕú doktora tezi. Michigan State University, East Lansing.
- Ball, D. L., & Bass, H. (2003). Making mathematics reasonable in school. J. Kilpatrick, W. G. Martin, &
- D. Schifter (Ed.), A Research Companion to Principles and Standards for School Mathematics içinde (s. 27-44). Reston, VA: National Council of Teachers of Mathematics.
- Ball, D.L., Hill, H.H., & Bass, H. (2005). Knowing mathematics for teaching: Who knows mathematics well enough to teach third grade, and how can we decide? American Educator, 29, 14-46.
- Ball, D. L., Lubienski, S., & Mewborn, D. (2001). Research on teaching mathematics: The unsolved problem of teachers' mathematical knowledge. V. Richardson (Ed.), Handbook of research on teaching (4th ed.) içinde (s. 433-456) New York: Macmillan.
- Battista, M. T., & Clements, D. H. (1996). Students’ understanding of three-dimensional rectangular arrays of cubes. Journal for Research in Mathematics Education, 27(3), 258-292.
- Battista, M. T. (2003). Understanding students’ thinking about area and volume measurement. D. H. Clements & G. Bright (Ed.), Learning and teaching measurement içinde (s. 122-142). Reston, VA: National Council of Teachers of Mathematics.
- Battista, M. T. (2007). The development of geometric and spatial thinking. F. K. Lester, Jr. (Ed.) Second Handbook of Research on Mathematics Teaching and Learning içinde (s. 843-908), Charlotte, NC: Information Age Publishing.
- Even, R. (1993). Subject-matter knowledge and pedagogical content knowledge: prospective secondary teachers and the function concept. Journal for Research in Mathematics Education, 24(2), 94-116.
- Hill, H. C., Rowan, B., & Ball, D. L. (2005). Effects of mathematical knowledge for teaching on student achievement. American Educational Research Journal, 42(2), 371-406.
- Kaput, J. J. (1987). Representation systems and mathematics. C. Janvier (ed.), Problems of representation in the teaching and learning of mathematics içinde (s. 19-26), Hillsdale, NJ: Lawrence Erlbaum.
- Leinhardt, G. (1988). Getting to know: Tracing students' mathematical knowledge from intuition to competence, Educational Psychologist, 23(2), 119-144. Leinhardt, G. (1990). Capturing craft knowledge in teaching. Educational Researcher, 19(2), 18-25.
- Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4-14.
- Shulman, L. S. (1987). Knowledge and teaching: Foundations of the new reform. Harward Educational Review, 57(1), 1-22.
- Ponte, J. P., & Chapman, O. (2008). Preservice mathematics teachers' knowledge and development. L. English (Ed.), Handbook of international research in mathematics education (2nd ed) içinde (s. 225- 263). New York, NY: Routledge.
- Wilson, P. S., & Rowland, R. (1993) Teaching measurement. R. Jensen (Ed ), Research ideas for the classroom: Early childhood mathematics (NCTM Research Innovation Project) içinde (s. 171-194). New York: Macmillan.
- Zembat, ø. Ö. (2010) Ölçme Temel Bileúenleri ve SÕk KarúÕlaúÕlan Kavram YanÕlgÕlarÕ. Bingölbali, E., & Özmantar, M.,F.(Ed.)ølkö÷retimde KarúÕlaúÕlan Matematiksel Zorluklar ve Çözüm Önerileri içinde (s.127-154). Ankara: Pegem Akademi YayÕncÕOÕk.