Reform- Based Curriculum &
Acquisition of the Levels

Erdoğan Halat

doi:10.12973/ejmste/75373

Reform- Based Curriculum & Acquisition of the Levels

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Erdoğan Halat ¹ ^*

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¹ Afyon Kocatepe Üniversitesi, Afyonkarahisar, TURKEY^* Corresponding Author

Abstract

The aim of this study was to compare the acquisition of the van Hiele levels of sixthgrade students engaged in instruction using a reform-based curriculum with sixth-grade students engaged in instruction using a traditional curriculum. There were 273 sixthgrade mathematics students, 123 in the control group and 150 in the treatment group, involved in the study. The researcher administered a multiple-choice geometry test to the students before and after a five - week of instruction. The test was designed to detect students’ reasoning stages in geometry. The independent-samples t-test, the pairedsamples t-test and ANCOVA with α = .05 were used to analyze the data. The study demonstrated that although both types of instructions had positive impacts on the students’ progress, there was no statistical significant difference detected in the acquisition of the levels between the groups.

Keywords

curriculum
middle school
acquisition of levels
geometry

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, Volume 3, Issue 1, 2007, 41-49

https://doi.org/10.12973/ejmste/75373

Publication date: 22 Jun 2007

Article Views: 2298

Article Downloads: 1023

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References

Berliner, D. C. (1989). Furthering our understanding of motivation and environments. In C. Ames& R. Ames (Eds.), Research on motivation and education. (Vol.3, pp. 45- 71). San Diego, CA: Academic Press.
Billstein, R., & Williamson, J. (2003). Middle grades MATH Thematics: The STEM project. In S. L. Senk & D. R. Thompson (Eds.), Standards-based school mathematics curricula. What are they? What do students learn? (pp. 251- 284). Lawrence Erlbaum Associates: NJ.
Burger, W. F., & Shaughnessy, J. M. (1986). Characterizing the van Hiele levels of development in geometry. Journal for Research in Mathematics Education, 17, 31-48.
Charles, R. I., Dossey, J. A., Leinwand, S. J., Seeley, C. L., & Embse, C. B. (1998). Middle school math course 1. Scott Foresman-Addison Westley.
Carroll, W. M., & Isaacs, A. (2003). Achievement of students using the university of Chicago school mathematics project’s Everyday Mathematics. In S. L. Senk & D. R. Thompson (Eds.), Standards-based school mathematics curricula. What are they? What do students learn? (pp. 79- 108). Lawrence Erlbaum Associates: NJ.
Chappell, M.F. (2003). Keeping mathematics front and center: Reaction to middle-grades curriculum projects research. In S. L. Senk & D. R. Thompson (Eds.), Standards-based school mathematics curricula. What are they What do students learn? (pp. 285-298). Lawrence Erlbaum Associates: NJ.
Clements, D., & Battista, M. (1990). The effects of logo on children’s conceptualizations of angle and polygons. Journal for Research in Mathematics Education, 21(5), 356- 371.
Creswell, J. W. (1994). Research design qualitative and quantitative approaches. Thousand Oaks, CA: SAGE publications.
Crowley, M. (1987). The van Hiele model of development of geometric thought. In M. M. Lindquist, (Ed.), Learning and teaching geometry, K-12 (pp. 1-16). Reston, VA: NCTM.
Dev, P. C. (1998). Intrinsic motivation and the student with learning disability. Journal of Research and Development in Education, 31(2), 98-108.
Driscoll, M. J. (1980). The teacher and the textbook. In M. J. Driscoll (Ed.), Research within reach: Elementary school mathematics. Reston, VA: National Council of Teachers Mathematics.
Eccles, J. S., & Midgley, C. (1989). Stage-environment fit: Developmentally appropriate classrooms for young adolescents. In C. Ames& R. Ames (Eds.), Research on motivation and education. (Vol.3, pp. 139-180). San Diego, CA: Academic Press.
Fuson, K. C., Carroll, W. M., & Drueck, J. V. (2000). Achievement results for second and third graders using the standards-based curriculum everyday mathematics. Journal for Research in Mathematics Education, 31(3), 277295.
Fuys, D., Geddes, D., & Tischler, R. (1988). The Van Hiele model of thinking in geometry among adolescents. Journal for Research in Mathematics Education: Monograph Number 3.
Geddes, D., & Fortunato, I. (1993). Geometry: Research and Classroom Activities. In D.T.Owens (Ed.), Research Ideas for the Classroom: Middle grades mathematics (pp. 199-225). New York: Macmillan Publishing Company.
Gottfried, A. E., Fleming, J. S., & Gottfried, A. W. (2001). Continuity of academic intrinsic motivation from childhood through late adolescence: A longitudinal study. Journal of Educational Psychology, 93(1), 3-13.
Gutierrez, A., Jaime, A., & Fortuny, J. (1991). An alternative paradigm to evaluate the acquisition of the van Hiele levels. Journal for Research in Mathematics Education, 22, 237-251.
Gutierrez, A., & Jaime, A. (1998). On the assessment of the van Hiele levels of reasoning. Focus on Learning Problems in Mathematics, 20(2,3), 27-45.
Hoffer, A. (1981). Geometry is more than proof. Mathematics Teacher, 74, 11-18.
Hoffer, A. (1986). Geometry and visual thinking. In T. R. Post (Ed.), Teaching mathematics in grades K-8: Research based methods (pp. 233-261). Newton, MA: Allyn and Bacon.
Huntly, M. A., Rasmussen, C. L., Villarubi, R. S., Sangtong, J., & Fey, J. T. (2000). Effects of standards- based mathematics education: A study of the Core-Plus mathematics project algebra and functions strand. Journal for Research in Mathematics Education, 31(3), 328361.
Lappan, G, Fey, J. T., Fitzgerald, W. M., Friel, S. N., & Phillips, E. D. (1996). Shapes and design. Two-dimensional geometry. Palo Alto, CA: Dale Seymour Publications.
Lappan, R. T., Reys, B. J., Barnes, D. E., & Reys, R. E. (1998). Standards-based middle grade mathematics curricula: Impact on student achievement. Paper presented at the annual meeting of AERA, San Diego.
Mason, M. M. (1997). The van Hiele model of geometric understanding and mathematically talented students. Journal for the Education of the Gifted, 21(1), 39-53.
Mayberry, J. (1983). The Van Hiele levels of geometric thought in undergraduate preservice teachers. Journal for Research in Mathematics Education, 14, 58-69.
McMillan, J. H. (2000). Educational Research. Fundamentals for the consumers (3^rded.). New York: Addison Wesley.
Messick, R. G., & Reynolds, K. E. (1992). Middle level curriculum in action. White Plains, NY: Longman.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
Reys, R., Reys, B., Lappan, R., Holliday, G., & Wasman, D. (2003). Assessing the impact of standards-based middle grades mathematics curriculum materials on the student achievement. Journal for Research in Mathematics Education, 34(1), 74-95.
Romberg, T. A., & Shafer, M. C. (2003). Mathematics in context (MiC)-Prelimery evidence about student outcome. In S. L. Senk & D. R. Thompson (Eds.), Standards-based school mathematics curricula. What are they? What do students learn? (pp. 224-250). Lawrence Erlbaum Associates: NJ.
Ryan, A.M., & Pintrich, P.R. (1997). “Should I ask for help?” The role of motivation and attitudes in adolescents’ help seeking in math class. Journal of Educational Psychology, 89(2), 329-341.
Senk, S. (1989). van Hiele levels and achievement in writing geometry proofs. Journal for Research in Mathematics Education,20(3), 309-321.
Senk, S. L., & Thompson, D. R. (2003). Middle school mathematics curriculum reform. In S. L. Senk & D. R. Thompson (Eds.), Standards-based school mathematics curricula. What are they? What do students learn? (pp. 181192). Lawrence Erlbaum Associates: NJ.
Serra, M. (1997). Discovering geometry: An inductive approach (2^nd ed.). San Francisco, CA: Key Curriculum Press.
Skemp, R. (1987). The psychology of learning mathematics (Expanded American Ed.) Hillsdale, NJ: Lawrence Erlbaum Associates.
Swafford, O. J., Jones, G. A., & Thornton, C. A. (1997). Increased knowledge in geometry and instructional practice. Journal for Research in Mathematics Education, 28(4), 467-483.
Third International Mathematics and Science Study (1995). Highlights of results. Retrieved December 5, 200, from htttp://www.timss.org/timss1995i/ Highlights.html
Third International Mathematics and Science Study-Repeat (1999). Reporting students achievement in mathematics and science for TIMSS 1999 benchmarking. Retrieved December 5, 2000, from http://www.timss.org/
Thompson, D. R., & Senk, S. L. (2001). The effects of curriculum on achievement in second –year algebra: The example of the University of Chicago school mathematics project. Journal for Research in Mathematics Education, 32(1), 58-84.
Usiskin, Z. (1982). Van Hiele Levels and Achievement in Secondary School Geometry. (Final report of the Cognitive Development and Achievement in Secondary School Geometry Project.) Chicago: University of Chicago. (ERIC Document Reproduction Service No. ED220288).
Van Hiele, P.M. (1986). Structure and insight: A theory of mathematics education. New York: Academic Press.
Wirszup, I. (1976). Breakthroughs in the psychology of learning and teaching geometry. In J. I. Martin and D. A. Bradbard (Eds.). Space and geometry: Papers from a Research Workshops. Columbus, Ohio: ERIC Center for Science, Mathematics and Environment Education.
Weinstein, R. S. (1989). Perceptions of classroom processes and student motivation: Chilren’s views of self-fulfilling prophecies In C. Ames& R. Ames (Eds.), Research on motivation and education. (Vol.3, pp. 317-341). San Diego, CA: Academic Press.

How to cite this article

APA

Halat, E. (2007). Reform- Based Curriculum & Acquisition of the Levels. Eurasia Journal of Mathematics, Science and Technology Education, 3(1), 41-49. https://doi.org/10.12973/ejmste/75373

Vancouver

Halat E. Reform- Based Curriculum & Acquisition of the Levels. EURASIA J Math Sci Tech Ed. 2007;3(1):41-9. https://doi.org/10.12973/ejmste/75373

AMA

Halat E. Reform- Based Curriculum & Acquisition of the Levels. EURASIA J Math Sci Tech Ed. 2007;3(1), 41-49. https://doi.org/10.12973/ejmste/75373

Chicago

Halat, Erdoğan. "Reform- Based Curriculum & Acquisition of the Levels". Eurasia Journal of Mathematics, Science and Technology Education 2007 3 no. 1 (2007): 41-49. https://doi.org/10.12973/ejmste/75373

Harvard

Halat, E. (2007). Reform- Based Curriculum & Acquisition of the Levels. Eurasia Journal of Mathematics, Science and Technology Education, 3(1), pp. 41-49. https://doi.org/10.12973/ejmste/75373

MLA

Halat, Erdoğan "Reform- Based Curriculum & Acquisition of the Levels". Eurasia Journal of Mathematics, Science and Technology Education, vol. 3, no. 1, 2007, pp. 41-49. https://doi.org/10.12973/ejmste/75373