참고문헌
- Accascina, G., & Rogora, E. (2006). Using cabri 3D diagrams for teaching geometry. International Journal for Technology in Mathematics Education, 13(1), 11-22.
- Alias, M., Black, T. R. & Gray, D. E. (2002). Effect of instructions on spatial visualisation ability in civil engineering students. International Education Journal, 3(1), 1-12.
- Arici, S., & Aslan-Tutak, F. (2015). The effect of origami-based instruction on spatial visualization, geometry achievement, and geometric reasoning. International Journal of Science and Mathematics, 13, 179-200.
- Baki, A., Kosa, T., & Guven, B. (2011). A Comparative study of the effects of using dynamic geometry software and physical manipulatives on the spatial visualisation skills of pre-service mathematics teachers. British Journal of Educational Technology, 42(2), 291-310. https://doi.org/10.1111/j.1467-8535.2009.01012.x
- Battista, M. T., Wheatley, G. H., & Talsma, G. (1982). The importance of spatial visualization and cognitive development for geometry learning of preservice elementary teachers. Journal for Research in Mathematics Education, 13, 332-340. https://doi.org/10.2307/749007
- Burin, D. I., Delgado, A. R., & Prieto, G. (2000). Solution strategies and gender differences in sptatial visualization tasks. Psicologica, 21, 275-286.
- Chaim, D. B., Lappan, G., & Houang, R. T. (1988). The Effect of Instruction on Spatial Visualization Skills of Middle School Boys and Girls. American Educational Research Journal, 25(1), 51-71. https://doi.org/10.3102/00028312025001051
- Cho, Y. S. & Chong, Y. O. (2012). Survey on the Spatial Sense Ability of Elementary School Students. Journal of Elementary Mathematics Education in Korea, 16(3), 359-388.
- Chong, Y. O. (2017). Teaching Spatial Sense of Solid Figures in Elementary School Mathematics. Journal of Elementary Mathematics Education in Korea, 21(1), 161-194.
- Chung, Y. W, & Kim, B. Y. (2014). Didactical Contemplation on the Development Figure. School Mathematics, 16(2), 285-301.
- Clements, D. H., & Battista, M. T. (1992). Geometry and spatial reasoning. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 420-464). New York: Macmillan.
- Cohen, N. (2003). Curved solids nets. In N. Pateman, B. J. Dougherty, & J. Zillox (Eds.), Proceedings of the 27th PME International Conference, 2, 229-236.
- Cochran, K. F., & Wheatley, G. H. (2002). The Journal of General Psychology, 116(1), 43-55. https://doi.org/10.1080/00221309.1989.9711109
- Del Grande, J. J. (1987). Spatial perception and primary geometry. In M. M. Lindquist & A. P. Shulte (Eds ), Learning and teaching geometry K-12 (pp. 126-135). Reston, VA: National Council of Teachers of Mathematics.
- Ekstrom, R. B., French, J. W., Harman, H. H., & Dermen, D. (1976). Manual for kit of factor-referenced cognitive test. Princeton, NJ: Educational Testing Service.
- Fennema, E., & Romberg, T. A. (Eds.) (1999). Mathematics Classrooms that Promote Understanding. Mahwah, NJ: Erlbaum., 이광호, 이현숙, 이경미, 윤혜영, 정미혜, 하수현 (역) (2011). 이해를 촉진하는 수학교실. 서울: 경문사.
- Gilligan, K. A., Flouri, E. & Farran, E. K.(2017). The contribution of spatial ability to mathematics achievement in middle childhood. Journal of Experimental Child Psychology, 163, 107-125. https://doi.org/10.1016/j.jecp.2017.04.016
- Gluck, J., & Fitting, S. (2003). Spatial strategy selection: Interesting incremental information. International Journal of Testing, 3(3), 293-308. https://doi.org/10.1207/S15327574IJT0303_7
- Guven, B., & Kosa, T. (2008). The effect of dynamic geometry software on student mathematics' spatial visualization skills. The Turkish Online Journal of Educational Technology, 7(4), Article 11.
- Hong, G. J. & Yi, H. S. (2015). A Study on Sketch Maps and Planar Figures in Elementary School-In Consideration of Successive Korean Curriculums and Foreign Textbooks. School Mathematics, 17(4), 531-553.
- Jeong, H. R., Lee, S. J. & Cho, H. H. (2016). Educational Application of Turtle Representation System for Linking Cube Mathematics Class. School Mathematics. 18(2). 323-348.
- Karakus, F., & Peker, M. (2015). The effects of dynamic geometry software and physical manipulatives on pre-service primary teachers' van hilel elvels and spatial abilities. Turkish Journal of Computer and Mathematics Education, 6(3), 338-365.
- Kell, H. J., & Lubinski, D. (2013). Spatial ability: A neglected talent in educational and occupational settings. Roeper Review, 35(4), 219-230. https://doi.org/10.1080/02783193.2013.829896
- Kim, Y. K. & Pang, J. S. (2007). An Investigation on 6th Grade Students' Spatial Sense and Spatial Reasoning. School Mathematics, 9(3), 353-373.
- Kosa, T. (2016). The effect of using dynamic mathematics software: cross section and visualization. International Journal of Technology in Mathematics Education, 23(4), 121-128.
- Kozhevnikov, M., & Hegarty, M. (2001). A dissociation between object manipulation spatial ability and spatial orientation ability. Memory & Cognition, 29(5), 745-756. https://doi.org/10.3758/BF03200477
- Kurtulus, A. (2013). The effects of web-based interactive virtual tours on the development of prospective mathematics teachers' spatial skills. Computers & Education, 63, 141-150. https://doi.org/10.1016/j.compedu.2012.11.009
- Kurtulus, A., & Uygan, C. (2010). The effects of Google Sketchup based geometry activities and projects on spatial visualization ability of student mathematics teachers. World Conference on Learning, Teaching and Administration (pp. 384-389). Cairo, Egypt: Elsevier Ltd.
- Linn, M. C., & Petersen, A. C. (1985). Emergence and characterization of gender differences in spatial abilities: a meta-analysis. Child Development, 56(6), 1479-1498. https://doi.org/10.1111/j.1467-8624.1985.tb00213.x
- Lohman, D. F. (1979). Spatial ability: A review and re-analysis of the correlational literature (Technical Report No. 8). Stanford CA: Stanford University, School of Education, Aptitude Research Project.
- Mcgee, M. G. (1979). Human spatial abilities: sources of sex differences. New York: Praeger.
- Ministry of Education(2015a). Mathematics curriculum. Proclamation of the Ministry of Education #2015-74 [Annex 8].
- Ministry of Education(2015b). Mathematics 5-1. Seoul: Chunjae)
- Ministry of Education(2015c). Mathematics 6-1. Seoul: Chunjae.
- National Council of Teachers of Mathematics. (2000). Principles and stadards for school mathematics. Reston, VA: National Council of Teachers of Mathematics. 류희찬, 조완영, 이경화, 나귀수, 김남균, 방정숙 (역) (2007). 학교수학을 위한 원리와 규준. 서울: 경문사.
- Pavlovicova, G., & Svecova, V. (2015). The development of spatial skills through discovering in the geometrical education at primary school. Social and Behavioral Sciences, 186, 990-997.
- Risma, D. A., Putri, R. I., & Hartono, Y. (2013). On developing students' spatial visualisation ability. International Educational Studies, 6(9), 1-12.
- Risto, L., Marjatta, K., Merja, S., Ann, M., S., & Tuula, U. L. (2012a). LASKUTAITO in English 4A. WSOY pro., Ltd. 양재욱, 도영(역) (2012). 핀란드 초등수학교과서 Laskutaito 4-1 Korean edition. 서울: 솔빛길출판사.
- Risto, L., Marjatta, K., Merja, S., Ann, M., S., & Tuula, U. L. (2012b). LASKUTAITO in English 6A. WSOY pro., Ltd. 오수현, 도영(역) (2012). 핀란드 초등수학교과서 Laskutaito 6-1 Korean edition. 서울: 솔빛길출판사.
- Seo, H. J. & Lee, K. H. (2018). An International Comparison of Nets of Solids Presented in Elementary Mathematics Textbooks. Journal of Elementary Mathematics Education in Korea, 22(2), 199-220.
- Shepard, R. N., & Metzler, J. (1971). Mental rotation of three dimensional objects. Science, 171, 701-703. https://doi.org/10.1126/science.171.3972.701
- Sukumar, K., Zhou, Z., & Mohler, J. L. (2016). Strategy variability in solving spatial visualization tasks: Rethinking the purdue spatial visualization test - developments. Paper presented at the annual meeting of the American Society for Engineering Education.
- Tartre, L. A. (1990a). Spatial orientation skill and mathematics problem solving. Journal for Research in Mathematics Education, 21(3), 216-229. https://doi.org/10.2307/749375
- Tartre, L. A. (1990b). Spatial skills, gender, and mathematics. In Fennema, E. & Leder, G. (Eds.), Mathematics and gender: Influences on teachers and students (pp.27-59). New York: Teachers College Press, Columbia University.
- Uttal, D. H., Meadow, N. G., Tipton, E., Hand, L. L., Alden, A. R., Warren, C., & Newcombe, N. S. (2013). The malleability of spatial skills: a meta-analysis of training studies. Psychological Bulletin, 139, 352-402. https://doi.org/10.1037/a0028446
- Wai, J., Lubinski, D., & Benbow, C. P. (2009). Spatial ability for STEM domains: Aligning over 50 years of cumulative psychological knowledge solidifies its importance. Journal of Educational Psychology, 101(4), 817-835. https://doi.org/10.1037/a0016127
- Wright V., Smith K. (2017). Children's schemes for anticipating the validity of nets for solids. Mathematics Education Research Journal, 29(3), 369-394. https://doi.org/10.1007/s13394-017-0219-1
- Yurt, E., & Sunbul, A. M. (2012). Effect of modeling-based activities developed using virtual environments and concrete objects on spatial thinking ad mental rotation skills. Educational Science: Theory & Practice, 12, 1987-1992.