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References
- Abeysekera, L., & Dawson, P. (2015). Motivation and cognitive load in the flipped classroom: Definition, rationale and a call for research. Higher Education Research & Development, 34(1), 1–14. https://doi.org/10.1080/07294360.2014.934336
- Avcu, R. (2022). Middle-school mathematics teachers’ provision of non-examples and explanations in rational number instruction. International Journal of Mathematical Education in Science and Technology, 1–29. https://doi.org/10.1080/0020739X.2022.2105759
- Bakker, A. (2018). Design research in education: A practical guide for early career researchers. Routledge.
- Bays, C. (2005). A note on the game of life in hexagonal and pentagonal tessellations. Complex Systems.
- Cerrone, K. L. (2006). Tessellations: Lesson for every age [Master’s Thesis, The University of Akron]. http://rave.ohiolink.edu/etdc/view?acc_num=akron1151427935
- Clements, D. H., & Battista, M. T. (1992). "Geometry and Spatial Reasoning." In Handbook of Research on Mathematics Teaching and Learning (pp. 420-464).
- Cesaria, A., & Herman, T. (2019). Learning obstacles in geometry. Journal of Engineering Science and Technology, 14(3), 1271–1280. https://jestec.taylors.edu.my/Vol%2014%20issue%203%20June%202019/14_3_12.pdf
- Chakraborty, D., & Caglayan, G. (2017). Semiregular tessellations with pattern blocks. The Mathematics Teacher, 111(2), 90–94. https://doi.org/10.5951/mathteacher.111.2.0090
- de Villiers, M. (1996). The future of secondary school geometry. the SOSI Geometry Imperfect Conference.
- Falcón, R. M. (2011). Integration of CAS/DGS as a CAD system in the mathematics curriculum for architecture students. International Journal of Mathematical Education in Science and Technology, 42(6), 737–750. https://doi.org/10.1080/0020739X.2011.573871
- Felder, R. M., & Brent, R. (2005). Understanding student differences. Journal of Engineering Education, 94(1), 57–72. https://doi.org/10.1002/j.2168-9830.2005.tb00829.x
- Fonna, M., & Mursalin, M. (2019). Using of wingeom software in geometry learning to improving the of mathematical representation ability. Malikussaleh Journal of Mathematics Learning (MJML), 1(2). https://doi.org/10.29103/mjml.v1i2.1174
- Fuys, D., Geddes, D., & Tischler, R. (1988). The Van Hiele model of thinking in geometry among adolescents. Journal for Research in Mathematics Education, 19(1), 3-19. https://doi.org/10.2307/749957
- Ghavifekr, S., & Rosdy, W. A. W. (2015). Teaching and learning with technology: Effectiveness of ICT integration in schools. International Journal of Research in Education and Science, 1(2), 175–191. https://www.ijres.net/index.php/ijres/article/view/79/43
- Goedhart, N. S., Blignaut-van Westrhenen, N., Moser, C., & Zweekhorst, M. B. M. (2019). The flipped classroom: Supporting a diverse group of students in their learning. Learning Environments Research, 22(2), 297–310. https://doi.org/10.1007/s10984-019-09281-2
- Gökdağ, K., Özgeldi, M., & Yakın, İ. (2022). Unveiling students’ explorations of tessellations with Scratch through mathematical aesthetics. International Journal of Mathematical Education in Science and Technology, 1–19. https://doi.org/10.1080/0020739X.2021.2021306
- Goldman, S. R. (2009). Explorations of relationships among learners, tasks, and learning. Learning and Instruction, 19(5), 451–454. https://doi.org/10.1016/j.learninstruc.2009.02.006
- Groher, I., Vierhauser, M., Sabitzer, B., Kuka, L., Hofer, A., & Muster, D. (2022). Exploring diversity in introductory programming classes: An experience report. 2022 IEEE/ACM 44th International Conference on Software Engineering: Software Engineering Education and Training (ICSE-SEET), 102–112. https://doi.org/10.1109/ICSE-SEET55299.2022.9794193
- Hariati, A., & Septiadi, D. D. (2019). Analysis of students’ mistakes in solving system of linear equation in three variables: A case on HOTS problems. International Journal on Teaching and Learning Mathematics, 2(1), 29. https://doi.org/10.18860/ijtlm.v2i1.7616
- Hendroanto, A., van Galen, F., Van Eerde, D., Prahmana, R. C. I., Setyawan, F., & Istiandaru, A. (2018). Photography activities for developing students’ spatial orientation and spatial visualization. Journal of Physics: Conference Series, 943(1), 012029. https://doi.org/10.1088/1742-6596/943/1/012029
- Hulse, T., Daigle, M., Manzo, D., Braith, L., Harrison, A., & Ottmar, E. (2019). From here to there! Elementary: A game-based approach to developing number sense and early algebraic understanding. Educational Technology Research and Development, 67(2), 423–441. https://doi.org/10.1007/s11423-019-09653-8
- Klasa, J. (2010). A few pedagogical designs in linear algebra with Cabri and Maple. Linear Algebra and Its Applications, 432(8), 2100–2111. https://doi.org/10.1016/j.laa.2009.08.039
- Kurtulus, A., & Uygan, C. (2010). The effects of Google Sketchup based geometry activities and projects on spatial visualization ability of student mathematics teachers. Procedia - Social and Behavioral Sciences, 9, 384–389. https://doi.org/10.1016/j.sbspro.2010.12.169
- Laborde, C. (2001). Integration of technology in the design of geometry tasks with Cabri-Geometry. International Journal of Computers for Mathematical Learning, 6, 283–317. https://doi.org/10.1023/A:1013309728825
- Laksmiwati, P. A. (2015, May 17). Developing Interactive Cabri 3D Assitance Media in Three-Dimensional Space For Grade X Students Of Senior High School Using Guided Inquiry Learning. Recent Innovative Issues and Findings on the Development and the Education of Mathematics and Science. 2nd ICRIEMS The 2nd International Conference on Research, Implementation and Education of Mathematics and Science, Yogyakarta, Indonesia.
- Leung, A. (2011). An epistemic model of task design in dynamic geometry environment. ZDM, 43(3), 325–336. https://doi.org/10.1007/s11858-011-0329-2
- McKenney, S., & Reeves, T. C. (2020). Educational design research: Portraying, conducting, and enhancing productive scholarship. Medical Education, 55(1), 82–92. https://doi.org/10.1111/medu.14280
- Moreau, S., & Coquin-Viennot, D. (2003). Comprehension of arithmetic word problems by fifth‐grade pupils: Representations and selection of information. British Journal of Educational Psychology, 73, 109–121. https://doi.org/10.1348/000709903762869941
- Ng, O.-L., Shi, L., & Ting, F. (2020). Exploring differences in primary students’ geometry learning outcomes in two technology-enhanced environments: Dynamic geometry and 3D printing. International Journal of STEM Education, 7(1), 50. https://doi.org/10.1186/s40594-020-00244-1
- Ngirishi, H., & Bansilal, S. (2019). An exploration of high school learners’ understanding of geometric concepts. Problems of Education in the 21st Century, 77(1), 82–96. https://doi.org/10.33225/pec/19.77.82
- Ozdemir, G. (2010). Exploring visuospatial thinking in learning about mineralogy: spatial orientation ability and spatial visualization ability. International Journal of Science and Mathematics Education, 8(4), 737–759. https://doi.org/10.1007/s10763-009-9183-x
- Patchan, M. M., Hawk, B., Stevens, C. A., & Schunn, C. D. (2013). The effects of skill diversity on commenting and revisions. Instructional Science, 41(2), 381–405. https://doi.org/10.1007/s11251-012-9236-3
- Patton, M. Q. (1987). How to use qualitative methods in evaluation. Sage.
- Prahmana, R. C. I., & D'Ambrosio, U. (2020). Learning geometry and values from patterns: Ethnomathematics on the batik patterns of Yogyakarta, Indonesia. Journal on Mathematics Education, 11(3), 439-456. https://doi.org/10.22342/jme.11.3.12949.439-456
- Prediger, S., & Buró, R. (2021). Fifty ways to work with students’ diverse abilities? A video study on inclusive teaching practices in secondary mathematics classrooms. International Journal of Inclusive Education, 1–20. https://doi.org/10.1080/13603116.2021.1925361
- Ra, S., Shrestha, U., Khatiwada, S., Yoon, S. W., & Kwon, K. (2019). The rise of technology and impact on skills. International Journal of Training Research, 17(sup1), 26–40. https://doi.org/10.1080/14480220.2019.1629727
- Şahin, Ö., Gökkurt, B., & Soylu, Y. (2016). Examining prospective mathematics teachers’ pedagogical content knowledge on fractions in terms of students’ mistakes. International Journal of Mathematical Education in Science and Technology, 47(4), 531-551. https://doi.org/10.1080/0020739X.2015.1092178
- Silmi Juman, Z. A. M., Mathavan, M., Ambegedara, A. S., & Udagedara, I. G. K. (2022). Difficulties in learning geometry component in mathematics and active-based learning methods to overcome the difficulties. Shanlax International Journal of Education, 10(2), 41–58. https://doi.org/10.34293/education.v10i2.4299
- Straesser, R. (2001). Cabri-géomètre: Does dynamic geometry software (dgs) change geometry and its teaching and learning? International Journal of Computers for Mathematical Learning, 6, 319–333. https://doi.org/10.1023/A:1013361712895
- Sukirwan, Darhim, Herman, T., & Prahmana, R. C. I. (2018). The students’ mathematical argumentation in geometry. Journal of Physics: Conference Series, 943(1), 012026. https://doi.org/10.1088/1742-6596/943/1/012026
- Tatar, E., Akkaya, A., & Kağizmanli, T. B. (2014). Using dynamic software in mathematics: The case of reflection symmetry. International Journal of Mathematical Education in Science and Technology, 45(7), 980–995. https://doi.org/10.1080/0020739X.2014.902129
- Tatsuoka, K. K., Corter, J. E., & Tatsuoka, C. (2004). Patterns of diagnosed mathematical content and process skills in TIMSS-R across a sample of 20 countries. American Educational Research Journal, 41(4), 901–926. https://doi.org/10.3102/00028312041004901
- Temsah, L. O., & Moukarzel, D. M. (2018). Effect of technology on elementary students’ reasoning & communication skills in science at Lebanese private schools: An exploratory study. European Scientific Journal, ESJ, 14(25), 107. https://doi.org/10.19044/esj.2018.v14n25p107
- Tikoo, M. (1998). Integrating geometry in a meaningful way (a point of view). International Journal of Mathematical Education in Science and Technology, 29(5), 663–675. https://doi.org/10.1080/0020739980290503
- Tutak, T., Türkdoğan, A., & Birgin, O. (2009). The effect of geometry teaching with cabri to learning levels of fourth grade students. Physical Sciences, 4(2), 26–35. https://dergipark.org.tr/en/download/article-file/365356
- Usiskin, Z. (1982). Van Hiele Levels and Achievement in Secondary School Geometry. Journal for Research in Mathematics Education, 13(1), 65-80. https://ucsmp.uchicago.edu/resources/van_hiele_levels.pdf
- van Garderen, D., Scheuermann, A., & Jackson, C. (2013). Examining how students with diverse abilities use diagrams to solve mathematics word problems. Learning Disability Quarterly, 36(3), 145–160. https://doi.org/10.1177/0731948712438558
- Voyer, D. (2011). Performance in mathematical problem solving as a function of comprehension and arithmetic skills. International Journal of Science and Mathematics Education, 9(5), 1073–1092. https://doi.org/10.1007/s10763-010-9239-y
- Watson, R. (1973). Semi-Regular Tessellations. The Mathematical Gazette, 57(401), 186–188. https://doi.org/10.2307/3615563
- White, D. Y. (2003). Promoting productive mathematical classroom discourse with diverse students. The Journal of Mathematical Behavior, 22(1), 37–53. https://doi.org/10.1016/S0732-3123(03)00003-8
References
Abeysekera, L., & Dawson, P. (2015). Motivation and cognitive load in the flipped classroom: Definition, rationale and a call for research. Higher Education Research & Development, 34(1), 1–14. https://doi.org/10.1080/07294360.2014.934336
Avcu, R. (2022). Middle-school mathematics teachers’ provision of non-examples and explanations in rational number instruction. International Journal of Mathematical Education in Science and Technology, 1–29. https://doi.org/10.1080/0020739X.2022.2105759
Bakker, A. (2018). Design research in education: A practical guide for early career researchers. Routledge.
Bays, C. (2005). A note on the game of life in hexagonal and pentagonal tessellations. Complex Systems.
Cerrone, K. L. (2006). Tessellations: Lesson for every age [Master’s Thesis, The University of Akron]. http://rave.ohiolink.edu/etdc/view?acc_num=akron1151427935
Clements, D. H., & Battista, M. T. (1992). "Geometry and Spatial Reasoning." In Handbook of Research on Mathematics Teaching and Learning (pp. 420-464).
Cesaria, A., & Herman, T. (2019). Learning obstacles in geometry. Journal of Engineering Science and Technology, 14(3), 1271–1280. https://jestec.taylors.edu.my/Vol%2014%20issue%203%20June%202019/14_3_12.pdf
Chakraborty, D., & Caglayan, G. (2017). Semiregular tessellations with pattern blocks. The Mathematics Teacher, 111(2), 90–94. https://doi.org/10.5951/mathteacher.111.2.0090
de Villiers, M. (1996). The future of secondary school geometry. the SOSI Geometry Imperfect Conference.
Falcón, R. M. (2011). Integration of CAS/DGS as a CAD system in the mathematics curriculum for architecture students. International Journal of Mathematical Education in Science and Technology, 42(6), 737–750. https://doi.org/10.1080/0020739X.2011.573871
Felder, R. M., & Brent, R. (2005). Understanding student differences. Journal of Engineering Education, 94(1), 57–72. https://doi.org/10.1002/j.2168-9830.2005.tb00829.x
Fonna, M., & Mursalin, M. (2019). Using of wingeom software in geometry learning to improving the of mathematical representation ability. Malikussaleh Journal of Mathematics Learning (MJML), 1(2). https://doi.org/10.29103/mjml.v1i2.1174
Fuys, D., Geddes, D., & Tischler, R. (1988). The Van Hiele model of thinking in geometry among adolescents. Journal for Research in Mathematics Education, 19(1), 3-19. https://doi.org/10.2307/749957
Ghavifekr, S., & Rosdy, W. A. W. (2015). Teaching and learning with technology: Effectiveness of ICT integration in schools. International Journal of Research in Education and Science, 1(2), 175–191. https://www.ijres.net/index.php/ijres/article/view/79/43
Goedhart, N. S., Blignaut-van Westrhenen, N., Moser, C., & Zweekhorst, M. B. M. (2019). The flipped classroom: Supporting a diverse group of students in their learning. Learning Environments Research, 22(2), 297–310. https://doi.org/10.1007/s10984-019-09281-2
Gökdağ, K., Özgeldi, M., & Yakın, İ. (2022). Unveiling students’ explorations of tessellations with Scratch through mathematical aesthetics. International Journal of Mathematical Education in Science and Technology, 1–19. https://doi.org/10.1080/0020739X.2021.2021306
Goldman, S. R. (2009). Explorations of relationships among learners, tasks, and learning. Learning and Instruction, 19(5), 451–454. https://doi.org/10.1016/j.learninstruc.2009.02.006
Groher, I., Vierhauser, M., Sabitzer, B., Kuka, L., Hofer, A., & Muster, D. (2022). Exploring diversity in introductory programming classes: An experience report. 2022 IEEE/ACM 44th International Conference on Software Engineering: Software Engineering Education and Training (ICSE-SEET), 102–112. https://doi.org/10.1109/ICSE-SEET55299.2022.9794193
Hariati, A., & Septiadi, D. D. (2019). Analysis of students’ mistakes in solving system of linear equation in three variables: A case on HOTS problems. International Journal on Teaching and Learning Mathematics, 2(1), 29. https://doi.org/10.18860/ijtlm.v2i1.7616
Hendroanto, A., van Galen, F., Van Eerde, D., Prahmana, R. C. I., Setyawan, F., & Istiandaru, A. (2018). Photography activities for developing students’ spatial orientation and spatial visualization. Journal of Physics: Conference Series, 943(1), 012029. https://doi.org/10.1088/1742-6596/943/1/012029
Hulse, T., Daigle, M., Manzo, D., Braith, L., Harrison, A., & Ottmar, E. (2019). From here to there! Elementary: A game-based approach to developing number sense and early algebraic understanding. Educational Technology Research and Development, 67(2), 423–441. https://doi.org/10.1007/s11423-019-09653-8
Klasa, J. (2010). A few pedagogical designs in linear algebra with Cabri and Maple. Linear Algebra and Its Applications, 432(8), 2100–2111. https://doi.org/10.1016/j.laa.2009.08.039
Kurtulus, A., & Uygan, C. (2010). The effects of Google Sketchup based geometry activities and projects on spatial visualization ability of student mathematics teachers. Procedia - Social and Behavioral Sciences, 9, 384–389. https://doi.org/10.1016/j.sbspro.2010.12.169
Laborde, C. (2001). Integration of technology in the design of geometry tasks with Cabri-Geometry. International Journal of Computers for Mathematical Learning, 6, 283–317. https://doi.org/10.1023/A:1013309728825
Laksmiwati, P. A. (2015, May 17). Developing Interactive Cabri 3D Assitance Media in Three-Dimensional Space For Grade X Students Of Senior High School Using Guided Inquiry Learning. Recent Innovative Issues and Findings on the Development and the Education of Mathematics and Science. 2nd ICRIEMS The 2nd International Conference on Research, Implementation and Education of Mathematics and Science, Yogyakarta, Indonesia.
Leung, A. (2011). An epistemic model of task design in dynamic geometry environment. ZDM, 43(3), 325–336. https://doi.org/10.1007/s11858-011-0329-2
McKenney, S., & Reeves, T. C. (2020). Educational design research: Portraying, conducting, and enhancing productive scholarship. Medical Education, 55(1), 82–92. https://doi.org/10.1111/medu.14280
Moreau, S., & Coquin-Viennot, D. (2003). Comprehension of arithmetic word problems by fifth‐grade pupils: Representations and selection of information. British Journal of Educational Psychology, 73, 109–121. https://doi.org/10.1348/000709903762869941
Ng, O.-L., Shi, L., & Ting, F. (2020). Exploring differences in primary students’ geometry learning outcomes in two technology-enhanced environments: Dynamic geometry and 3D printing. International Journal of STEM Education, 7(1), 50. https://doi.org/10.1186/s40594-020-00244-1
Ngirishi, H., & Bansilal, S. (2019). An exploration of high school learners’ understanding of geometric concepts. Problems of Education in the 21st Century, 77(1), 82–96. https://doi.org/10.33225/pec/19.77.82
Ozdemir, G. (2010). Exploring visuospatial thinking in learning about mineralogy: spatial orientation ability and spatial visualization ability. International Journal of Science and Mathematics Education, 8(4), 737–759. https://doi.org/10.1007/s10763-009-9183-x
Patchan, M. M., Hawk, B., Stevens, C. A., & Schunn, C. D. (2013). The effects of skill diversity on commenting and revisions. Instructional Science, 41(2), 381–405. https://doi.org/10.1007/s11251-012-9236-3
Patton, M. Q. (1987). How to use qualitative methods in evaluation. Sage.
Prahmana, R. C. I., & D'Ambrosio, U. (2020). Learning geometry and values from patterns: Ethnomathematics on the batik patterns of Yogyakarta, Indonesia. Journal on Mathematics Education, 11(3), 439-456. https://doi.org/10.22342/jme.11.3.12949.439-456
Prediger, S., & Buró, R. (2021). Fifty ways to work with students’ diverse abilities? A video study on inclusive teaching practices in secondary mathematics classrooms. International Journal of Inclusive Education, 1–20. https://doi.org/10.1080/13603116.2021.1925361
Ra, S., Shrestha, U., Khatiwada, S., Yoon, S. W., & Kwon, K. (2019). The rise of technology and impact on skills. International Journal of Training Research, 17(sup1), 26–40. https://doi.org/10.1080/14480220.2019.1629727
Şahin, Ö., Gökkurt, B., & Soylu, Y. (2016). Examining prospective mathematics teachers’ pedagogical content knowledge on fractions in terms of students’ mistakes. International Journal of Mathematical Education in Science and Technology, 47(4), 531-551. https://doi.org/10.1080/0020739X.2015.1092178
Silmi Juman, Z. A. M., Mathavan, M., Ambegedara, A. S., & Udagedara, I. G. K. (2022). Difficulties in learning geometry component in mathematics and active-based learning methods to overcome the difficulties. Shanlax International Journal of Education, 10(2), 41–58. https://doi.org/10.34293/education.v10i2.4299
Straesser, R. (2001). Cabri-géomètre: Does dynamic geometry software (dgs) change geometry and its teaching and learning? International Journal of Computers for Mathematical Learning, 6, 319–333. https://doi.org/10.1023/A:1013361712895
Sukirwan, Darhim, Herman, T., & Prahmana, R. C. I. (2018). The students’ mathematical argumentation in geometry. Journal of Physics: Conference Series, 943(1), 012026. https://doi.org/10.1088/1742-6596/943/1/012026
Tatar, E., Akkaya, A., & Kağizmanli, T. B. (2014). Using dynamic software in mathematics: The case of reflection symmetry. International Journal of Mathematical Education in Science and Technology, 45(7), 980–995. https://doi.org/10.1080/0020739X.2014.902129
Tatsuoka, K. K., Corter, J. E., & Tatsuoka, C. (2004). Patterns of diagnosed mathematical content and process skills in TIMSS-R across a sample of 20 countries. American Educational Research Journal, 41(4), 901–926. https://doi.org/10.3102/00028312041004901
Temsah, L. O., & Moukarzel, D. M. (2018). Effect of technology on elementary students’ reasoning & communication skills in science at Lebanese private schools: An exploratory study. European Scientific Journal, ESJ, 14(25), 107. https://doi.org/10.19044/esj.2018.v14n25p107
Tikoo, M. (1998). Integrating geometry in a meaningful way (a point of view). International Journal of Mathematical Education in Science and Technology, 29(5), 663–675. https://doi.org/10.1080/0020739980290503
Tutak, T., Türkdoğan, A., & Birgin, O. (2009). The effect of geometry teaching with cabri to learning levels of fourth grade students. Physical Sciences, 4(2), 26–35. https://dergipark.org.tr/en/download/article-file/365356
Usiskin, Z. (1982). Van Hiele Levels and Achievement in Secondary School Geometry. Journal for Research in Mathematics Education, 13(1), 65-80. https://ucsmp.uchicago.edu/resources/van_hiele_levels.pdf
van Garderen, D., Scheuermann, A., & Jackson, C. (2013). Examining how students with diverse abilities use diagrams to solve mathematics word problems. Learning Disability Quarterly, 36(3), 145–160. https://doi.org/10.1177/0731948712438558
Voyer, D. (2011). Performance in mathematical problem solving as a function of comprehension and arithmetic skills. International Journal of Science and Mathematics Education, 9(5), 1073–1092. https://doi.org/10.1007/s10763-010-9239-y
Watson, R. (1973). Semi-Regular Tessellations. The Mathematical Gazette, 57(401), 186–188. https://doi.org/10.2307/3615563
White, D. Y. (2003). Promoting productive mathematical classroom discourse with diverse students. The Journal of Mathematical Behavior, 22(1), 37–53. https://doi.org/10.1016/S0732-3123(03)00003-8