Research Article
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AN INVESTIGATION ON PRIMARY SCHOOL STUDENTS’ 3D GEOMETRIC THINKING

Year 2022, Volume: 11 Issue: 1, 168 - 186, 30.06.2022
https://doi.org/10.55020/iojpe.1061047

Abstract

This study aims to investigate how primary school students’ three-dimensional geometric thinking changes across grades. The survey model was used, and the study group was comprising of 520 primary school students in a large city of Turkey. In the study, the Three-Dimensional Geometric Thinking Test, which is a paper and pencil test, was used to collect data. The scores taken from the test were compared across the grades and the relationships between the components of three-dimensional geometric thinking were examined. The findings showed that as the grades increased, students’ scores taken from the Three-Dimensional Thinking Test also increased significantly. Moreover, a medium and positive correlation was found between the components of three-dimensional geometric thinking. The results of the study revealed that grade level is a significant variable on three-dimensional geometric thinking, yet some important three-dimensional geometric thinking skills can be developed independent from the grade level. The current study intends to shed light on the development of three-dimensional geometric thinking starting from early grades, and to provide important information for organizing the three-dimensional geometric content in the curriculum and its implementation. 

References

  • Altun, T. (2011). İlköğretim öğrencilerinin bilgisayara yönelik tutumlarının incelenmesi: Trabzon ili örneği [Examining upper primary level students’ attitudes towards computers on the basis of different variables: Sample of Trabzon]. Turkish Journal of Computer and Mathematics Education, 2(1), 69-86.
  • Akkurt-Denizli, Z. (2016). 1-4. sınıf düzeylerine yönelik üç boyutta geometrik düşünme testinin geliştirilmesi, uygulanması ve sonuçlarının değerlendirilmesi [The development, application and evaluatıon of a three dimensional reasoning test for grades 1 to 4] (Unpublished Doctorate Thesis). Anadolu University, Eskişehir.
  • Akkurt-Denizli, Z., & Erdoğan, A. (2018). Development of a three dimensional geometric thinking test for early graders. Journal on Mathematics Education, 9(2), 213-226.
  • Ambrose, R., & Kenehan, G. (2009). Children’s evolving understanding of polyhedra in the classroom. Mathematical Thinking and Learning, 11(3), 158-176.
  • Battista, M. T., & Clements, D. H. (1996). Students' understanding of 3D rectangular arrays of cubes source. Journal for Research in Mathematics Education, 27(3), 258-292.
  • Battista, M. T., & Clements, D. H. (1998). Finding the number of cubes in rectangular cube buildings. Teaching Children Mathematics, 4, 258-264.
  • Battista, M. (2004). Applying cognition-based assessment to elementary school students’ development of understanding of area and volume measurement. Mathematıcal Thınkıng And Learnıng, 6(2), 185-204.
  • Ben–Chaim, D., Lappan, G., & Houang, R. T. (1985). Visualizing rectangular solids made of small cubes: Analyzing and affecting students’ performance. Educational Studies in Mathematics, 16(4), 389-409.
  • Büyüköztürk, Ş. (2007). Sosyal bilimler için veri analizi el kitabı [Manual of data analysis for social sciences]. Ankara: Pegem Publishing.
  • Büyüköztük, Ş., Çakmak Kılıç, E., Akgün, Ö. E., Karadeniz, Ş., & Demirel, F. (2010). Bilimsel araştırma yöntemleri [Scientific research methods]. Ankara: Pegem Publishing.
  • Clements, D. H. (2004). Major the]mes and recommendations geometric and spatial thinking in young children. In D. H. Clements & J. Sarama (Eds.), Engaging young children in mathematics: Standards for early childhood mathematics education (pp. 7-77). Mahwah: Lawrence Erlbaum Associates Publishers.
  • Cohen, J. (1988). Statistical power analysis for the behavioral sciences. Hillsdale, NJ: Erlbaum.
  • Cohen, N. (2003). Curved solids nets. In The 27th International Group for the Psychology of Mathematics Education Conference, 13-18 July 2003 (p. 2, 229-236), Honolulu, HI: CRDG, College of Education, University of Hawai’i.
  • Conceicao, J., & Rodrigues, M. (2020). First-grade students' strategies for 2D/3D transformations. Psicologia em Pesquisa, 14(2), 112-129. ISSN 1982-1247. http://dx.doi.org/10.34019/1982-1247.2020.v14.27595.
  • Creswell, J. W. (2002). Educational research: Planning, conducting, and evaluating quantitative and qualitative research. Upper Saddle River, NJ: Pearson Education.
  • Çokluk, Ö., Şekercioğlu, G., & Büyüköztürk, Ş. (2010). Sosyal bilimler için çok değişkenli istatistik [Multivariate Statistics for Social Sciences]. Ankara: Pegem Publishing.
  • Deregowski, J. B., & Bentley, A. M. (1987). Seeing the impossible and building the likely. The British Psychological Society, 78, 91-97.
  • Duval, R. (1993). Registres de représentation sémiotique et fonctionnement cognitif de la pensée. Annales de Didactiques des Sciences Cognitives, 5, 37-65.
  • Erbaş, A. K., Kertil, M., Çetinkaya, B, Çakıroğlu, E., Alacalı, C., & Baş, S. (2014). Matematik eğitiminde matematiksel modelleme: temel kavramlar ve farklı yaklaşımlar [Mathematical modeling in mathematics education: basic concepts and different approaches]. Educational Sciences: Theory & Practice, 14(4), 1-21.
  • Erdoğan, A., Özdemir Erdoğan, E., Garan, Ö., & Güler., M. (2012). Assessing an environment designed for the popularization of mathematics. Elementary Education Online, 11(1), 51-74, 2012.
  • Fujita, T., Kondo, Y., Kumakura, H., Kunimune, S., & Jones, K. (2020). Spatial reasoning skills about 2D representations of 3D geometrical shapes in grades 4 to 9. Mathematics Education Research Journal, 32, 235–255.
  • Guay, R. B., & McDaniel, E. D. (1977). The relationship between mathematics achievement and spatial abilities among elementary school children. Journal for Research in Mathematics Education, 8(3) 211–215.
  • Gutiérrez, A. (1992). Exploring the links between van Hiele Levels and 3-dimensional geometry. Structural Topology, 18, 31-48.
  • Gutiérrez, A. (1996). Visualization in 3-dimensional geometry: In search of a framework. In the 20th International Group for the Psychology of Mathematics Education Conference, 8-12 July 1996 (p. 1, 3-19), Valencia: Universidad de Valencia.
  • Hallowell, D., Okamoto, Y, Romo, L., & LaJoy, J. (2015). First-grader’s spatial-mathematical reasoning about plane and solid shapes and their representations. ZDM Mathematics Education, 47(3). 363-375 doi:10.1007/s11858-015-0664-9
  • Harris, J., Newscombe, N. S., & Hirsh-Pasek, K. (2013). A new twist on studying the development of dynamicspatial transformations: mental paper folding in young children. Mind, Brain and Education, 7(1), 49–55.
  • Heraud, B. (1987). Conceptions of area units by 8-9 year old children. In Eleventh International Conference of the International Group for the Psychology of Mathematics Education, 19–25 July (pp. 3, 229-304), Montreal.
  • Hirstein, J. J. (1981). The second national assessment in mathematics: area and volume. Mathematics Teacher, 74, 704-708.
  • Ibili, E., Çat, M., Resnyansky, D., Şahin, S., & Billinghurst, M. (2020). An assessment of geometry teaching supported with augmented reality teaching materials to enhance students’ 3D geometry thinking skills. International Journal of Mathematical Education in Science and Technology, 51(2), 224–246.
  • Karasar, N. (2009). Bilimsel araştırma yöntemi [Scientific research method]. Ankara: Nobel Publishing.
  • Kol, S. (2010). Okul öncesi dönemde kazanılan zaman ve mekân kavramlarının ölçülmesine yönelik başarı testi geliştirilmesi [Developing an achievement test to measure the concepts of time and space gained in the pre-school period]. In International Conference on New Trends in Education and Their Implications, 11-13 November 2010 (pp.894-902), Antalya.
  • Ministry of National Education [MoNE] (2013). İlköğretim 1-5. sınıflar matematik dersi öğretim programı [Elementary 1-5. grades math curriculum]. Ankara: Ministry of Education.
  • Ministry of National Education [MoNE] (2018). Matematik dersi öğretim programı: İlkokul ve ortaokul (1, 2, 3, 4, 5,6,7 ve 8. Sınıflar) [Mathematics curriculum: Primary and secondary school (1, 2, 3, 4, 5, 6, 7 and 8th Grades)]. Ankara: Ministry of Education.
  • Mitchelmore, M. C. (1980). Prediction of developmental stages in the representation of regular space figures. Journal of Research in Mathematics Education, March, 11(2), 83-93. https://doi.org/10.5951/jresematheduc.11.2.0083
  • Murphy, C. M., & Wood, D. J. (1981). Learning from pictures. The use of pictorial information by young children. Journal of Experimental And Child Psychology, 32, 279- 297.
  • National Council of Teachers of Mathematics [NCTM] (2000). Principles and standards for school mathematics. Reston: NCTM.
  • Olkun, S. (1999). Stimulating children’s understanding of rectangular solids made of small cubes (Unpublished Doctorate Thesis). Arizona State University, USA.
  • Olkun, S. (2003a). When does the volume formula make sense to students? Hacettepe University Journal of Faculty of Education, 25, 160-165.
  • Olkun, S. (2003b). Making connections: Improving spatial abilities with engineering drawing activities. International journal of mathematics teaching and learning, 3(1), 1-10.
  • Olkun, S., & Altun, A. (2003). İlköğretim öğrencilerinin bilgisayar deneyimleri ile uzamsal düşünme ve geometri başarıları arasındaki ilişki [The relationship between primary school students' computer experiences and their spatial thinking and geometry achievements]. The Turkish Online Journal of Educational Technology , 2(4), 86-91.
  • Owens, K., & Outhred, L. (2006). The complexity of learning geometry and measurement. In A. Gutiérrez & P. Boero (Eds.), Handbook of research on the physchology of mathematics education: Past, present and future (pp. 83-111). Rotterdam/Taipei: Sence Publishers.
  • Parzysz, B. (1988). “Knowing" vs "seeing". Problems of the plane representation of space geometry. Educational Studies in Mathematics, 19(1988), 79-92.
  • Piaget, J., & Inhelder, B. (1956). The child's conception of space. London and New York: Routledge. 17 April 2015 retrieved from website
  • Piaget, J., İnhelder, B., & Szeminska, A. (1960). The child conception of geometry. Oxon: Routledge. 18 March 2015 retrieved from website
  • Pittalis, M., & Christou, C. (2010). Types of reasoning in 3D geometry thinking and their relation with spatial ability. Educ Stud Math, 75, 191-212.
  • Potari, D., & Spiliotopoulou, V. (2001). Patterns in children’s drawings and actions while constructing the nets of solids: the case of the conical surfaces. Focus on Learning Problems in Mathematics, 23(4), 41–62.
  • Sarama, J., & Clements, D. H. (2016). Physical and virtual manipulatives: What is “concrete?” In P. S. Moyer-Packenham (Ed.), International perspectives on teaching and learning mathematics with virtual manipulatives (p. 71–93). Basel, Switzerland: Springer International.
  • Tabachnick, B. G., & Fidell, L. S. (2007). Using multivariate statistics. USA: Pearson.
  • Van Hiele, P. M. (1986). Structure and insight. New York: Academic Press.
  • Van Hilele, P. (1999). Developing geometric thinking through activities that begin with play. Teaching Children Mathematics, 5(6), 310-316. https://doi.org/10.5951/TCM.5.6.0310
  • Wolf, D. (1988). Drawing the boundary: the development of distinct systems for spatial representation in young children. In J. Stiles-Davis, M. Kritchevsky, & U. Bellugi (Eds.), Spatial cognition: Brain bases and development (p.231-245). Hillsdale, NJ: Lawrence Erlbaum Associates, Publishers.
  • Wright, V., & Smith, K. (2017). Children’s schemes for anticipating the validity of nets for solids. Mathematics Education Research Journal, 29(3), 369–394.
  • Yeh, A., & Nason, R. (2004). Toward a semiotic framework for using technology in mathematics education: The case of learning 3d geometry. In International Conference on Computers in Education, 30 November-3 December 2004 (p.1191-1199), Melbourne, Australia: Common Ground Publishing Pty Ltd.
  • Yeh, A. (2013). Constructing a frame of cube: connecting 3D shapes with direction, location and movement. In V. Steinle, L. Ball, & C. Bardini (Eds.), Mathematics education: Yesterday, today and tomorrow (p. 690-697). Melbourne: Mathematics Education Research Group of Australasia Inc.
  • Yolcu, B., & Kurtuluş, A. (2010). A study on developing sixth-grade students’ spatial visualization ability elementary education. Elementary Education Online, 9(1), 256-274.
Year 2022, Volume: 11 Issue: 1, 168 - 186, 30.06.2022
https://doi.org/10.55020/iojpe.1061047

Abstract

References

  • Altun, T. (2011). İlköğretim öğrencilerinin bilgisayara yönelik tutumlarının incelenmesi: Trabzon ili örneği [Examining upper primary level students’ attitudes towards computers on the basis of different variables: Sample of Trabzon]. Turkish Journal of Computer and Mathematics Education, 2(1), 69-86.
  • Akkurt-Denizli, Z. (2016). 1-4. sınıf düzeylerine yönelik üç boyutta geometrik düşünme testinin geliştirilmesi, uygulanması ve sonuçlarının değerlendirilmesi [The development, application and evaluatıon of a three dimensional reasoning test for grades 1 to 4] (Unpublished Doctorate Thesis). Anadolu University, Eskişehir.
  • Akkurt-Denizli, Z., & Erdoğan, A. (2018). Development of a three dimensional geometric thinking test for early graders. Journal on Mathematics Education, 9(2), 213-226.
  • Ambrose, R., & Kenehan, G. (2009). Children’s evolving understanding of polyhedra in the classroom. Mathematical Thinking and Learning, 11(3), 158-176.
  • Battista, M. T., & Clements, D. H. (1996). Students' understanding of 3D rectangular arrays of cubes source. Journal for Research in Mathematics Education, 27(3), 258-292.
  • Battista, M. T., & Clements, D. H. (1998). Finding the number of cubes in rectangular cube buildings. Teaching Children Mathematics, 4, 258-264.
  • Battista, M. (2004). Applying cognition-based assessment to elementary school students’ development of understanding of area and volume measurement. Mathematıcal Thınkıng And Learnıng, 6(2), 185-204.
  • Ben–Chaim, D., Lappan, G., & Houang, R. T. (1985). Visualizing rectangular solids made of small cubes: Analyzing and affecting students’ performance. Educational Studies in Mathematics, 16(4), 389-409.
  • Büyüköztürk, Ş. (2007). Sosyal bilimler için veri analizi el kitabı [Manual of data analysis for social sciences]. Ankara: Pegem Publishing.
  • Büyüköztük, Ş., Çakmak Kılıç, E., Akgün, Ö. E., Karadeniz, Ş., & Demirel, F. (2010). Bilimsel araştırma yöntemleri [Scientific research methods]. Ankara: Pegem Publishing.
  • Clements, D. H. (2004). Major the]mes and recommendations geometric and spatial thinking in young children. In D. H. Clements & J. Sarama (Eds.), Engaging young children in mathematics: Standards for early childhood mathematics education (pp. 7-77). Mahwah: Lawrence Erlbaum Associates Publishers.
  • Cohen, J. (1988). Statistical power analysis for the behavioral sciences. Hillsdale, NJ: Erlbaum.
  • Cohen, N. (2003). Curved solids nets. In The 27th International Group for the Psychology of Mathematics Education Conference, 13-18 July 2003 (p. 2, 229-236), Honolulu, HI: CRDG, College of Education, University of Hawai’i.
  • Conceicao, J., & Rodrigues, M. (2020). First-grade students' strategies for 2D/3D transformations. Psicologia em Pesquisa, 14(2), 112-129. ISSN 1982-1247. http://dx.doi.org/10.34019/1982-1247.2020.v14.27595.
  • Creswell, J. W. (2002). Educational research: Planning, conducting, and evaluating quantitative and qualitative research. Upper Saddle River, NJ: Pearson Education.
  • Çokluk, Ö., Şekercioğlu, G., & Büyüköztürk, Ş. (2010). Sosyal bilimler için çok değişkenli istatistik [Multivariate Statistics for Social Sciences]. Ankara: Pegem Publishing.
  • Deregowski, J. B., & Bentley, A. M. (1987). Seeing the impossible and building the likely. The British Psychological Society, 78, 91-97.
  • Duval, R. (1993). Registres de représentation sémiotique et fonctionnement cognitif de la pensée. Annales de Didactiques des Sciences Cognitives, 5, 37-65.
  • Erbaş, A. K., Kertil, M., Çetinkaya, B, Çakıroğlu, E., Alacalı, C., & Baş, S. (2014). Matematik eğitiminde matematiksel modelleme: temel kavramlar ve farklı yaklaşımlar [Mathematical modeling in mathematics education: basic concepts and different approaches]. Educational Sciences: Theory & Practice, 14(4), 1-21.
  • Erdoğan, A., Özdemir Erdoğan, E., Garan, Ö., & Güler., M. (2012). Assessing an environment designed for the popularization of mathematics. Elementary Education Online, 11(1), 51-74, 2012.
  • Fujita, T., Kondo, Y., Kumakura, H., Kunimune, S., & Jones, K. (2020). Spatial reasoning skills about 2D representations of 3D geometrical shapes in grades 4 to 9. Mathematics Education Research Journal, 32, 235–255.
  • Guay, R. B., & McDaniel, E. D. (1977). The relationship between mathematics achievement and spatial abilities among elementary school children. Journal for Research in Mathematics Education, 8(3) 211–215.
  • Gutiérrez, A. (1992). Exploring the links between van Hiele Levels and 3-dimensional geometry. Structural Topology, 18, 31-48.
  • Gutiérrez, A. (1996). Visualization in 3-dimensional geometry: In search of a framework. In the 20th International Group for the Psychology of Mathematics Education Conference, 8-12 July 1996 (p. 1, 3-19), Valencia: Universidad de Valencia.
  • Hallowell, D., Okamoto, Y, Romo, L., & LaJoy, J. (2015). First-grader’s spatial-mathematical reasoning about plane and solid shapes and their representations. ZDM Mathematics Education, 47(3). 363-375 doi:10.1007/s11858-015-0664-9
  • Harris, J., Newscombe, N. S., & Hirsh-Pasek, K. (2013). A new twist on studying the development of dynamicspatial transformations: mental paper folding in young children. Mind, Brain and Education, 7(1), 49–55.
  • Heraud, B. (1987). Conceptions of area units by 8-9 year old children. In Eleventh International Conference of the International Group for the Psychology of Mathematics Education, 19–25 July (pp. 3, 229-304), Montreal.
  • Hirstein, J. J. (1981). The second national assessment in mathematics: area and volume. Mathematics Teacher, 74, 704-708.
  • Ibili, E., Çat, M., Resnyansky, D., Şahin, S., & Billinghurst, M. (2020). An assessment of geometry teaching supported with augmented reality teaching materials to enhance students’ 3D geometry thinking skills. International Journal of Mathematical Education in Science and Technology, 51(2), 224–246.
  • Karasar, N. (2009). Bilimsel araştırma yöntemi [Scientific research method]. Ankara: Nobel Publishing.
  • Kol, S. (2010). Okul öncesi dönemde kazanılan zaman ve mekân kavramlarının ölçülmesine yönelik başarı testi geliştirilmesi [Developing an achievement test to measure the concepts of time and space gained in the pre-school period]. In International Conference on New Trends in Education and Their Implications, 11-13 November 2010 (pp.894-902), Antalya.
  • Ministry of National Education [MoNE] (2013). İlköğretim 1-5. sınıflar matematik dersi öğretim programı [Elementary 1-5. grades math curriculum]. Ankara: Ministry of Education.
  • Ministry of National Education [MoNE] (2018). Matematik dersi öğretim programı: İlkokul ve ortaokul (1, 2, 3, 4, 5,6,7 ve 8. Sınıflar) [Mathematics curriculum: Primary and secondary school (1, 2, 3, 4, 5, 6, 7 and 8th Grades)]. Ankara: Ministry of Education.
  • Mitchelmore, M. C. (1980). Prediction of developmental stages in the representation of regular space figures. Journal of Research in Mathematics Education, March, 11(2), 83-93. https://doi.org/10.5951/jresematheduc.11.2.0083
  • Murphy, C. M., & Wood, D. J. (1981). Learning from pictures. The use of pictorial information by young children. Journal of Experimental And Child Psychology, 32, 279- 297.
  • National Council of Teachers of Mathematics [NCTM] (2000). Principles and standards for school mathematics. Reston: NCTM.
  • Olkun, S. (1999). Stimulating children’s understanding of rectangular solids made of small cubes (Unpublished Doctorate Thesis). Arizona State University, USA.
  • Olkun, S. (2003a). When does the volume formula make sense to students? Hacettepe University Journal of Faculty of Education, 25, 160-165.
  • Olkun, S. (2003b). Making connections: Improving spatial abilities with engineering drawing activities. International journal of mathematics teaching and learning, 3(1), 1-10.
  • Olkun, S., & Altun, A. (2003). İlköğretim öğrencilerinin bilgisayar deneyimleri ile uzamsal düşünme ve geometri başarıları arasındaki ilişki [The relationship between primary school students' computer experiences and their spatial thinking and geometry achievements]. The Turkish Online Journal of Educational Technology , 2(4), 86-91.
  • Owens, K., & Outhred, L. (2006). The complexity of learning geometry and measurement. In A. Gutiérrez & P. Boero (Eds.), Handbook of research on the physchology of mathematics education: Past, present and future (pp. 83-111). Rotterdam/Taipei: Sence Publishers.
  • Parzysz, B. (1988). “Knowing" vs "seeing". Problems of the plane representation of space geometry. Educational Studies in Mathematics, 19(1988), 79-92.
  • Piaget, J., & Inhelder, B. (1956). The child's conception of space. London and New York: Routledge. 17 April 2015 retrieved from website
  • Piaget, J., İnhelder, B., & Szeminska, A. (1960). The child conception of geometry. Oxon: Routledge. 18 March 2015 retrieved from website
  • Pittalis, M., & Christou, C. (2010). Types of reasoning in 3D geometry thinking and their relation with spatial ability. Educ Stud Math, 75, 191-212.
  • Potari, D., & Spiliotopoulou, V. (2001). Patterns in children’s drawings and actions while constructing the nets of solids: the case of the conical surfaces. Focus on Learning Problems in Mathematics, 23(4), 41–62.
  • Sarama, J., & Clements, D. H. (2016). Physical and virtual manipulatives: What is “concrete?” In P. S. Moyer-Packenham (Ed.), International perspectives on teaching and learning mathematics with virtual manipulatives (p. 71–93). Basel, Switzerland: Springer International.
  • Tabachnick, B. G., & Fidell, L. S. (2007). Using multivariate statistics. USA: Pearson.
  • Van Hiele, P. M. (1986). Structure and insight. New York: Academic Press.
  • Van Hilele, P. (1999). Developing geometric thinking through activities that begin with play. Teaching Children Mathematics, 5(6), 310-316. https://doi.org/10.5951/TCM.5.6.0310
  • Wolf, D. (1988). Drawing the boundary: the development of distinct systems for spatial representation in young children. In J. Stiles-Davis, M. Kritchevsky, & U. Bellugi (Eds.), Spatial cognition: Brain bases and development (p.231-245). Hillsdale, NJ: Lawrence Erlbaum Associates, Publishers.
  • Wright, V., & Smith, K. (2017). Children’s schemes for anticipating the validity of nets for solids. Mathematics Education Research Journal, 29(3), 369–394.
  • Yeh, A., & Nason, R. (2004). Toward a semiotic framework for using technology in mathematics education: The case of learning 3d geometry. In International Conference on Computers in Education, 30 November-3 December 2004 (p.1191-1199), Melbourne, Australia: Common Ground Publishing Pty Ltd.
  • Yeh, A. (2013). Constructing a frame of cube: connecting 3D shapes with direction, location and movement. In V. Steinle, L. Ball, & C. Bardini (Eds.), Mathematics education: Yesterday, today and tomorrow (p. 690-697). Melbourne: Mathematics Education Research Group of Australasia Inc.
  • Yolcu, B., & Kurtuluş, A. (2010). A study on developing sixth-grade students’ spatial visualization ability elementary education. Elementary Education Online, 9(1), 256-274.
There are 55 citations in total.

Details

Primary Language English
Subjects Other Fields of Education
Journal Section Research Articles
Authors

Zeynep Akkurt Denizli 0000-0003-1996-1285

Abdulkadir Erdoğan 0000-0002-6553-8309

Publication Date June 30, 2022
Published in Issue Year 2022 Volume: 11 Issue: 1

Cite

APA Akkurt Denizli, Z., & Erdoğan, A. (2022). AN INVESTIGATION ON PRIMARY SCHOOL STUDENTS’ 3D GEOMETRIC THINKING. International Online Journal of Primary Education, 11(1), 168-186. https://doi.org/10.55020/iojpe.1061047

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