Geometry: Do High School Mathematics Teachers really Need it?
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A debate about the importance of geometry courses has existed for years. The questions have revolved around its significance to students and teachers alike. This study looks to determine whether a teacher taking a college-level geometry course has a positive relationship with their students’ algebraic reasoning skills. Using data from the High School Longitudinal Study 2009 (HSLS09: Ingels et al., 2011, 2014), it was determined that 9th-grade teachers who took a college-level geometry course had a significant positive association with their students’ 11th-grade algebraic reasoning scores. This study suggests that teachers who take geometry during college have a lasting effect on their students. The implications of these findings and how they may affect higher education are discussed.
Abstract
A debate about the importance of geometry courses has existed for years. The questions have revolved around its significance to students and teachers alike. This study looks to determine whether a teacher taking a college-level geometry course has a positive relationship with their students’ algebraic reasoning skills. Using data from the High School Longitudinal Study 2009 (HSLS09: Ingels et al., 2011, 2014), it was determined that 9th-grade teachers who took a college-level geometry course had a significant positive association with their students’ 11th-grade algebraic reasoning scores. This study suggests that teachers who take geometry during college have a lasting effect on their students. The implications of these findings and how they may affect higher education are discussed.
참고문헌 (23)
- Aslan-Tutak, F., "A study of geometry content knowledge of elementary preservice teachers", International Electronic Journal of Elementary Education, 7(3), pp.301~318 (2015)
- Ball, D. L., "Content knowledge for teaching: What makes it special?", Journal of Teacher Education, 59(5), pp.389~407 (2008)
- Battista, M. T., "Second handbook of research on mathematics teaching and learning, Vol. 2", pp.843~908 (2007), Information Age Pub
- Blanton, M. L., "Characterizing a classroom practice that promotes algebraic reasoning", Journal for Research in Mathematics Education, 36(5), pp.412~446 (2005)[DOI]
- Browning, C., "Mathematical content knowledge for teaching elementary mathematics : A focus on geometry and measurement", The Mathematics Enthusiast, 11(2), pp.333~383 (2014)[DOI]
- Carpenter, T. P., "Teachers’ pedagogical content knowledge of students’ problem solving in elementary arithmetic", Journal for Research in Mathematics Education, 19(5), pp.385~401 (1988)[DOI]
- Choi, K. M., "College coursework on high school teacher performance", A paper presented at the 2020 International Conference of KSME (2020)
- Conference Board of the Mathematical Sciences, "Issues in mathematics education: The mathematical education of teachers II (Vol. 17)", Mathematical Association of America, ~ (2012)
- Dindyal, J., "Algebraic thinking in geometry at high school level: Students' use of variables and unknowns", Mathematics education for the third millennium: Towards 2010 (Proceedings of the 27th annual conference of the Mathematics Education Research Group of Australasia, Townsville), pp.183~190 (2004), MERGA, Inc
- "Reassessing U.S. international mathematics performance: New findings from the 2003 TIMSS and PISA. In American Institutes for Research" (2005)[URL]
- Gonzalez, G., "Competing arguments for the geometry course : Why were American high school students supposed to study geometry in the twentieth century", The International Journal for the History of Mathematics Education, 1(1), pp.7~33 (2006)
- "IBM Corporation", 2021
- "High school longitudinal study of 2009 (HSLS:09) base-year data file documentation"[URL]
- Jones, K., "Teacher knowledge and professional development in geometry", Proceedings of the British Society for Research into Learning Mathematics, 20(3), pp.109~114 (2000)
- Kaput, J. J., "Algebra in the early grades" (2008), Routledge
- Mousoulides, N, "Algebraic and geometric approach in function problem solving", International Group for the Psychology of Mathematics Education, 3, pp.385~392 (2004)
- "TIMSS 2007 assessment frameworks. In International Association for the Evaluation of Educational Achievement" (2005)[URL]
- Murray, E., "What do secondary preservice mathematics teachers need to know? Content courses connecting secondary and tertiary mathematics", Notices of the American Mathematical Society, 60(10), pp.1297~ (2013)[DOI]
- Novak, E., "Studying preservice teacher math anxiety and mathematics performance in geometry, word, and non-word problem solving", Learning and Individual Differences, 54, pp.20~29 (2017)[DOI]
- Sun, S., "A comprehensive review of effect size reporting and interpreting practices in academic journals in education and psychology", Journal of Educational Psychology, 102(4), pp.989~1004 (2010)[DOI]
- Swafford, J. O., "Increased knowledge in geometry and instructional practice", Journal for Research in Mathematics Education, 28(4), pp.467~483 (1997)[DOI]
- Usiskin, Z., "What should not be in the algebra and geometry curricula of average college-bound students", The Mathematics Teacher, 73(6), pp.413~424 (1980)[DOI]
- Wayne, A., J, "Teacher characteristics and student achievement gains : A review", Review of Educational Research, 73(1), pp.89~122 (2003)