Teaching Practice
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Year 2025, Volume: 6 Issue: 1, 1 - 19, 30.06.2025
https://doi.org/10.5281/zenodo.15780812

Abstract

References

  • Adom, G., & Adu, E. O. (2020). An investigation of the use of paper folding manipulative material on learners’ performance in fractions in grade 9. Journal of Research and Review, 7(8), 153-158.
  • Baltacı, a. (2018). A conceptual review of sampling methods and sample size problems in qualitative research. Journal of Bitlis Eren University Institute of Social Sciences , 7(1), 231-274.
  • Boakes, N.J. (2008). Origami-mathematics lessons: Paper folding as a teaching tool. Mathitudes, 1(1), 1-9.
  • Bornasal, J. P., Sulatra, J. R. S., Gasapo, H. A., & Gasapo, F. B. (2021). Effect of paper folding (Origami) instruction in teaching geometry. International Journal of Social Science and Human Research, 4(07), 1605-1609.
  • Catman-Aksoy, E., & Isiksal-Bostan, M. (2024). Fostering students’ definitions and images in parallelism and perpendicularity: A paper folding activity. European Journal of Science and Mathematics Education, 12(2), 236- 257. https://doi.org/10.30935/scimath/14360.
  • Brownell, W.A. (1954). The Revolution in Arithmetic. The Arithmetic Teacher. 1(1). 1-5. https://doi.org/10.5951/AT.1.1.0001.
  • Bruner, J. S. (1961). The act of discovery. Harvard Educational Review, 31, 21-32.
  • Çontay,E.G.(2018, October 4-8). Geometride yağlı kağıt kullanılarak tasarlanan etkinlik süreci, (Conference Poster Presentation), Pamukkale University, Denizli .
  • (https://www.researchgate.net/publication/330117988_GEOMETRIDE_YAGLI_KAGIT_KULLANARAK_TASARLANAN_ ETKINLIK_SURECI#fullTextFileContent).
  • Empson, S. B., & Turner, E. (2006). The emergence of multiplicative thinking in children's solutions to paper folding tasks. The Journal of Mathematical Behavior, 25(1), 46-56.
  • Febriani, R., Susanti, E., & Hapizah, H. (2023). Learning trajectory in the material of comparing and ordering fractions using paper folding for elementary school students. Al-Jabar: Jurnal Pendidikan Matematika, 14(2), 353-370.
  • Friedman, M. (2016). Two beginnings of geometry and folding: Hermann Wiener and Sundara Row, BSHM Bulletin: Journal of the British Society for the History of Mathematics, 31:1, 52-68. https://doi.org/10.1080/17498430.2015.1045700.
  • Friedman, M., Rittberg, C.J. The material reasoning of folding paper. Synthese 198 (Suppl 26), 6333–6367 (2021). https://doi.org/10.1007/s11229-019-02131-x
  • Galicha, S., & Lazaro, M. (2022). Acceptability of Paper Folding-Based Instructional Material in Geometry. Romblon State University Research Journal, 4(2), 10-16.
  • Gürbüz, M. Ç., Agsu, M., & Güler, H. K. (2018). Investigating Geometric Habits of Mind by Using Paper Folding. Acta Didactica Napocensia, 11, 157-174.
  • Haga, K. (2008). Origamics: mathematical explorations through paper folding. World Scientific.
  • Johnson, D.A. (1957). Paper folding for the mathematics class. NCTM. https://eric.ed.gov/?id=ED077711.
  • Kennedy, L.M. (1986). A rationale, The Arithmetic Teacher, 33(6), 6,7-32.
  • Morye, A. S. (2025). The Folding Mathematics. arXiv preprint arXiv:2503.11679.
  • NCTM (2000). Principles and Standards for School Mathematics. Reston, Va. NCTM.
  • Olson, A. T. (1975). Mathematics Through Paper Folding. https://files.eric.ed.gov/fulltext/ED108963.pdf
  • Patkin, D., & Kanner, B. (2010). " Special Segments of Triangles" The Use of Paper Folding for the Purpose of Terms Understanding by Middle School Female-students. The Mathematics Educator, 12(2), 25-50.
  • Robichaux, R. R., & Rodrigue, P. R. (2003). Using origami to promote geometric communication. Mathematics Teaching in the Middle School, 9(4), 222-229.
  • Row, T.S. (1917). Geometric exercises in paper folding. (W. W.Beman, D.E.Smith, Ed.). https://dn790007.ca.archive.org/0/items/tsundararowsgeo00rowrich/tsundararowsgeo00rowrich.pdf.
  • Serra, M. (1994). Patty paper geometry. Key Curriculum Press.
  • Subaar, C., Asechoma, J. A., Asigri, V. N., Alebna, V., & Adams, F. X. (2010). Towards the solution of abysmal performance of fraction in navrongo presbyterian primary school: comparing the sets of objects and paper folding designed interventions. education, 2011, 8.
  • Ulusoy, F. (2022). Teaching Polygons. (Ed: Z. Tolluk Uçar, R. Akkuş, B. Boz Yaman, A. Duatepe Paksu). The Knowledge of Geometry Teaching . Pegem Akademi.
  • Van Van De Walle, J. A., Karp, K. S. & Bay-Williams, J. M. (2012). Teaching Primary and Secondary School Mathematics with a Developmental Approach. ( E.: S. Durmuş). Nobel Akademik Yayıncılık.
  • van Wijk, J., Bos, R., Shvarts, A., & Doorman, M. (2023, July). Activate students? Let them fold! Mathematical paper folding in secondary education in France and Germany. In Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13) (No. 17). Alfréd Rényi Institute of Mathematics; ERME.
  • Weaver, J.F. & Suydam, M.N. (1972). Meaningful instruction in mathematics education, Mathematics Education Reports. Eric information Center fo Science, Mathematics and Enviromental Education.
  • Yavuzsoy Köse, N., ve Özen Ünal, D. (2020). Reflection of reform movements in secondary school mathematics curriculum in the field of geometry learning, (Ed: M.F.Özmantar, H. Akkoç, B. Kuşdemir Kayıran, M. Özyurt). Middle school mathematics curriculum. A historical review.Pegem Akademi.

Explorations with patty paper focusing on polygons: properties and area measurements

Year 2025, Volume: 6 Issue: 1, 1 - 19, 30.06.2025
https://doi.org/10.5281/zenodo.15780812

Abstract

Doing mathematics is not an activity such as applying the rules or methods. Doing mathematics is developing methods to solve problems testing whether the answers given are meaningful or not and being able to model the work of doing mathematics in the real world as accurately as possible (Van de Walle, Karp, & Bay-Williams, 2013). Doing mathematics is a prerequisite for students to recognize meaningful mathematics. Meaningful mathematics can be discovered by students in many different ways and methods. One of these ways paper folding activities. Paper folding is an engaging and educational way to “do math.” Therefore, an instructional activity was developed in order to let students and teachers see and appreciate the educational function of these activities. Patty paper folding activities were carried out to explore the properties and areas of polygons. For this purpose, "Patty Paper Folding Activity in the Focus of Polygons" (PFA) and "Patty Paper Folding Activity Opinion Form" (PFO) were aadministrated. The study was held with six graduate students who were also mathematics teachers studying at the Department of Mathematics Education of a state university. PFA was held for 4 hours. The results of the study showed that the patty paper folding activity is a useful and functional tool that can be used in teaching polygons. After the implementation of the activity, it was seen that teachers generally did not have difficulties with the patty paper folding activities; they only needed the researcher's guidance in using the initial assumptions of patty paper and emphasized that the planning of folding activities should be detailed; the order of instruction is important and more time should be given for activity tasks. All of the teachers stated that the patty paper folding activities were beneficial and they willingly made the applications in discovery process. They stated that they intend to use these activities in their classrooms.

Ethical Statement

This study has ethical committee permittance No:68282350 Date:2023/09

Supporting Institution

Pamukkale University

References

  • Adom, G., & Adu, E. O. (2020). An investigation of the use of paper folding manipulative material on learners’ performance in fractions in grade 9. Journal of Research and Review, 7(8), 153-158.
  • Baltacı, a. (2018). A conceptual review of sampling methods and sample size problems in qualitative research. Journal of Bitlis Eren University Institute of Social Sciences , 7(1), 231-274.
  • Boakes, N.J. (2008). Origami-mathematics lessons: Paper folding as a teaching tool. Mathitudes, 1(1), 1-9.
  • Bornasal, J. P., Sulatra, J. R. S., Gasapo, H. A., & Gasapo, F. B. (2021). Effect of paper folding (Origami) instruction in teaching geometry. International Journal of Social Science and Human Research, 4(07), 1605-1609.
  • Catman-Aksoy, E., & Isiksal-Bostan, M. (2024). Fostering students’ definitions and images in parallelism and perpendicularity: A paper folding activity. European Journal of Science and Mathematics Education, 12(2), 236- 257. https://doi.org/10.30935/scimath/14360.
  • Brownell, W.A. (1954). The Revolution in Arithmetic. The Arithmetic Teacher. 1(1). 1-5. https://doi.org/10.5951/AT.1.1.0001.
  • Bruner, J. S. (1961). The act of discovery. Harvard Educational Review, 31, 21-32.
  • Çontay,E.G.(2018, October 4-8). Geometride yağlı kağıt kullanılarak tasarlanan etkinlik süreci, (Conference Poster Presentation), Pamukkale University, Denizli .
  • (https://www.researchgate.net/publication/330117988_GEOMETRIDE_YAGLI_KAGIT_KULLANARAK_TASARLANAN_ ETKINLIK_SURECI#fullTextFileContent).
  • Empson, S. B., & Turner, E. (2006). The emergence of multiplicative thinking in children's solutions to paper folding tasks. The Journal of Mathematical Behavior, 25(1), 46-56.
  • Febriani, R., Susanti, E., & Hapizah, H. (2023). Learning trajectory in the material of comparing and ordering fractions using paper folding for elementary school students. Al-Jabar: Jurnal Pendidikan Matematika, 14(2), 353-370.
  • Friedman, M. (2016). Two beginnings of geometry and folding: Hermann Wiener and Sundara Row, BSHM Bulletin: Journal of the British Society for the History of Mathematics, 31:1, 52-68. https://doi.org/10.1080/17498430.2015.1045700.
  • Friedman, M., Rittberg, C.J. The material reasoning of folding paper. Synthese 198 (Suppl 26), 6333–6367 (2021). https://doi.org/10.1007/s11229-019-02131-x
  • Galicha, S., & Lazaro, M. (2022). Acceptability of Paper Folding-Based Instructional Material in Geometry. Romblon State University Research Journal, 4(2), 10-16.
  • Gürbüz, M. Ç., Agsu, M., & Güler, H. K. (2018). Investigating Geometric Habits of Mind by Using Paper Folding. Acta Didactica Napocensia, 11, 157-174.
  • Haga, K. (2008). Origamics: mathematical explorations through paper folding. World Scientific.
  • Johnson, D.A. (1957). Paper folding for the mathematics class. NCTM. https://eric.ed.gov/?id=ED077711.
  • Kennedy, L.M. (1986). A rationale, The Arithmetic Teacher, 33(6), 6,7-32.
  • Morye, A. S. (2025). The Folding Mathematics. arXiv preprint arXiv:2503.11679.
  • NCTM (2000). Principles and Standards for School Mathematics. Reston, Va. NCTM.
  • Olson, A. T. (1975). Mathematics Through Paper Folding. https://files.eric.ed.gov/fulltext/ED108963.pdf
  • Patkin, D., & Kanner, B. (2010). " Special Segments of Triangles" The Use of Paper Folding for the Purpose of Terms Understanding by Middle School Female-students. The Mathematics Educator, 12(2), 25-50.
  • Robichaux, R. R., & Rodrigue, P. R. (2003). Using origami to promote geometric communication. Mathematics Teaching in the Middle School, 9(4), 222-229.
  • Row, T.S. (1917). Geometric exercises in paper folding. (W. W.Beman, D.E.Smith, Ed.). https://dn790007.ca.archive.org/0/items/tsundararowsgeo00rowrich/tsundararowsgeo00rowrich.pdf.
  • Serra, M. (1994). Patty paper geometry. Key Curriculum Press.
  • Subaar, C., Asechoma, J. A., Asigri, V. N., Alebna, V., & Adams, F. X. (2010). Towards the solution of abysmal performance of fraction in navrongo presbyterian primary school: comparing the sets of objects and paper folding designed interventions. education, 2011, 8.
  • Ulusoy, F. (2022). Teaching Polygons. (Ed: Z. Tolluk Uçar, R. Akkuş, B. Boz Yaman, A. Duatepe Paksu). The Knowledge of Geometry Teaching . Pegem Akademi.
  • Van Van De Walle, J. A., Karp, K. S. & Bay-Williams, J. M. (2012). Teaching Primary and Secondary School Mathematics with a Developmental Approach. ( E.: S. Durmuş). Nobel Akademik Yayıncılık.
  • van Wijk, J., Bos, R., Shvarts, A., & Doorman, M. (2023, July). Activate students? Let them fold! Mathematical paper folding in secondary education in France and Germany. In Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13) (No. 17). Alfréd Rényi Institute of Mathematics; ERME.
  • Weaver, J.F. & Suydam, M.N. (1972). Meaningful instruction in mathematics education, Mathematics Education Reports. Eric information Center fo Science, Mathematics and Enviromental Education.
  • Yavuzsoy Köse, N., ve Özen Ünal, D. (2020). Reflection of reform movements in secondary school mathematics curriculum in the field of geometry learning, (Ed: M.F.Özmantar, H. Akkoç, B. Kuşdemir Kayıran, M. Özyurt). Middle school mathematics curriculum. A historical review.Pegem Akademi.
There are 31 citations in total.

Details

Primary Language English
Subjects Mathematics Education
Journal Section Teaching Techniques and Activities in Math Education
Authors

Emine Gaye Çontay

Early Pub Date May 12, 2025
Publication Date June 30, 2025
Submission Date January 7, 2025
Acceptance Date April 8, 2025
Published in Issue Year 2025 Volume: 6 Issue: 1

Cite

APA Çontay, E. G. (2025). Explorations with patty paper focusing on polygons: properties and area measurements. Journal for the Mathematics Education and Teaching Practices, 6(1), 1-19. https://doi.org/10.5281/zenodo.15780812

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