### The connection between procedural and conceptual knowledge and problem-posing skills on addition and subtraction of fractions of prospective primary teachers

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#### References

G. Bobos and A. Sierpinska, “Measurement Approach to Teaching Fractions: A Design Experiment in a Pre-Service Course for Elementary Teachers,” Int. J. Math. Teach. Learn., vol. 18, no. 2, pp. 203–239, 2017, [Online]. Available: https://proxying.lib.ncsu.edu/index.php?url=http://search.ebscohost.com/login.aspx?direct=true&db=eric&AN=EJ1147869&site=ehost-live&scope=site%0Ahttp://www.cimt.org.uk/ijmtl/index.php/IJMTL/article/download/65/34.

F. Depaepe et al., “Teachers’ content and pedagogical content knowledge on rational numbers: A comparison of prospective elementary and lower secondary school teachers,” Teach. Teach. Educ., vol. 47, pp. 82–92, 2015, doi: 10.1016/j.tate.2014.12.009.

Z. H. Putra, “Praxeological Change and the Density of Rational Numbers: The Case of Pre-service Teachers in Denmark and Indonesia,” EURASIA J. Math. Sci. Technol. Educ., vol. 15, no. 5, pp. 1–15, Mar. 2019, doi: 10.29333/ejmste/105867.

Z. H. Putra, “Didactic Transposition of Rational Numbers: a Case From a Textbook Analysis and Prospective Elementary Teachers’ Mathematical and Didactic Knowledge,” J. Elem. Educ., vol. 13, no. 4, pp. 365–394, 2020, doi: 10.18690/rei.13.4.365-394.2020.

R. S. Siegler and H. Lortie-Forgues, “Hard Lessons: Why Rational Number Arithmetic Is So Difficult for So Many People,” Curr. Dir. Psychol. Sci., vol. 26, no. 4, pp. 346–351, 2017, doi: 10.1177/0963721417700129.

H. van Steenbrugge et al., “Preservice elementary school teachers’ knowledge of fractions: A mirror of students’ knowledge?,” J. Curric. Stud., vol. 46, no. 1, pp. 138–161, 2014, doi: 10.1080/00220272.2013.839003.

Y. Deringöl, “Misconceptions of primary school students about the subject of fractions: views of primary teachers and primary pre-service teachers,” Int. J. Eval. Res. Educ., vol. 8, no. 1, p. 29, Mar. 2019, doi: 10.11591/ijere.v8i1.16290.

E. Young and L. R. Zientek, “Fraction operations: An examination of prospective teachers’ errors, confidence, and bias,” Investig. Math. Learn., vol. 4, no. I, pp. 1–23, 2011.

R. K. Sembiring, S. Hadi, and M. Dolk, “Reforming mathematics learning in Indonesian classrooms through RME,” vol. 40, pp. 927–939, 2008, doi: 10.1007/s11858-008-0125-9.

L. Ma, Knowing and teaching elementary mathematics: Teachers’ understanding of fundamental mathematics in China and the United States. Mahwah, NJ.: Lawrence Erlbaum Associates, 1999.

C. Kilic, “Analyzing pre-service primary teachers’ fraction knowledge structures through problem posing,” Eurasia J. Math. Sci. Technol. Educ., vol. 11, no. 6, pp. 1603–1619, 2015, doi: 10.12973/eurasia.2015.1425a.

Z. Toluk-Uçar, “Developing pre-service teachers understanding of fractions through problem posing,” Teach. Teach. Educ., vol. 25, no. 1, pp. 166–175, 2009, doi: 10.1016/j.tate.2008.08.003.

H. P. Osana and D. A. Royea, “Obstacles and challenges in preservice teachers’ explorations with fractions: A view from a small-scale intervention study,” J. Math. Behav., vol. 30, no. 4, pp. 333–352, 2011, doi: 10.1016/j.jmathb.2011.07.001.

T. Kar, “Analysis of problems posed by sixth-grade middle school students for the addition of fractions in terms of semantic structures,” Int. J. Math. Educ. Sci. Technol., vol. 46, no. 6, pp. 879–894, 2015, doi: 10.1080/0020739X.2015.1021394.

J. Xie and J. O. Masingila, “Examining Interactions between Problem Posing and Problem Solving with Prospective Primary Teachers: A Case of Using Fractions,” Educ. Stud. Math., vol. 96, no. 1, pp. 101–118, 2017, doi: 10.1007/s10649-017-9760-9.

I. K. C. Leung and R. E. Carbone, “Pre-service teachers’ knowledge about fraction division reflected through problem posing,” Math. Educ., vol. 14, no. 1–2, pp. 80–92, 2013.

K. J. Newton, “An Extensive Analysis of Preservice Elementary Teachers’ Knowledge of Fractions,” Am. Educ. Res. J., vol. 45, no. 4, pp. 1080–1110, 2008, doi: 10.3102/0002831208320851.

H. C. Li, “A comparative analysis of British and Taiwanese students’ conceptual and procedural knowledge of fraction addition,” Int. J. Math. Educ. Sci. Technol., vol. 45, no. 7, pp. 968–979, 2014, doi: 10.1080/0020739X.2014.892163.

M. Chinnappan and T. Forrester, “Generating procedural and conceptual knowledge of fractions by pre-service teachers,” Math. Educ. Res. J., vol. 26, no. 4, pp. 871–896, 2014, doi: 10.1007/s13394-014-0131-x.

S. Fatmawati, “Perumusan tujuan pembelajaran dan soal kognitif berorientasi pada revisi taksonomi bloom dalam pembelajaran fisika,” Edu Sains J. Pendidik. Sains dan Mat., vol. 1, no. 2, pp. 1–16, 2013, doi: https://doi.org/10.23971/eds.v1i2.13.

L. Khamidah, “Pemahaman Konseptual Dan Pengetahuan Prosedural Siswa Kelas VIII Dalam Penyelesaian Soal Matematika Pada Materi Sistem Persamaan Linier Dua Variabel,” in Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami), 2017, vol. 1, no. 1, pp. 611–616.

S. Prafitriyani, “Exploration of Procedural Knowledge in Solving Arithmetic Operation in Fraction of Grade Xi Students at SMAN 17 In Makassar,” Daya Mat. J. Inov. Pendidik. Mat., vol. 4, no. 2, pp. 101–118, 2017.

Y. Arnidha, “Analisis Kemampuan Pengetahuan Konseptual dan Prosedural Siswa SD Dalam Pokok Bahasan Pecahan,” J. Pendidik. Guru Madrasah Ibtidaiyah Al-Multazam, vol. 2, no. 1, pp. 54–60, 2016.

M. Kopparla et al., “The effects of problem-posing intervention types on elementary students’ problem-solving,” Educ. Stud., vol. 45, no. 6, pp. 708–725, 2019.

E. Retnowati, Y. Fathoni, and O. Chen, “Mathematics problem solving skill acquisition: Learning by Problem Posing or by Problem Solving?,” J. Cakrawala Pendidik., vol. 37, no. 1, pp. 1–10, 2018, doi: https://doi.org/10.21831/cp.v37i1.18787.

K. Kadir and M. Sadzali, “Analisis Kemampuan Problem Posing Matematis Siswa dalam Pembelajaran Model Kooperatif NHT,” Algoritm. J. Math. Educ., vol. 1, no. 1, pp. 22–34, 2019.

D. Daryati and N. S. Nugraha, “Pengaruh Penggunaan Metode Problem Posing terhadap Kemampuan Pemecahan Masalah,” J. Pendidik. Ilmu Sos., vol. 27, no. 1, pp. 31–42, 2018.

W. N. Shanti, D. A. Sholihah, and A. Martyanti, “Meningkatkan kemampuan berpikir kritis melalui problem posing,” LITERASI (Jurnal Ilmu Pendidikan), vol. 8, no. 1, pp. 48–58, 2017.

L. Cohan, L. Manion, and K. Morrison, Research methods in education, Sixth Edit. London: Routledge, 2007.

Z. H. Putra, G. Witri, and T. Yulita, “Development of powerpoint-based learning media in integrated thematic instruction of elementary school,” Int. J. Sci. Technol. Res., vol. 8, no. 10, pp. 697–702, 2019.

E. N. Sasongko, M. Mustafid, and A. Rusgiyono, “Penerapan Metode Structural Equation Modeling Untuk Analisis Kepuasan Pengguna Sistem Informasi Akademik Terhadap Kualitas Website (Studi Kasus pada Website sia. undip. ac. id),” J. Gaussian, vol. 5, no. 3, pp. 395–404, 2016.

I. Irwan and K. Adam, “Metode partial least square (PLS) dan terapannya (Studi kasus: analisis kepuasan pelanggan terhadap layanan PDAM unit camming kab. Bone),” TEKNOSAINS Media Inf. Sains dan Teknol., vol. 9, no. 1, pp. 53–68, 2015.

I. Ghozali and H. Latan, “Partial least squares konsep, teknik dan aplikasi menggunakan program smartpls 3.0 untuk penelitian empiris,” Semarang: Badan Penerbit UNDIP, 2015.

P. Austin, R. E. Carbone, and P. Webb, “Prospective primary school teachers’ attempts to pose acceptable word problems on the addition of fractions: Some insights from south africa and the united states of america,” African J. Res. Math. Sci. Technol. Educ., vol. 15, no. 2, pp. 168–178, 2011, doi: 10.1080/10288457.2011.10740710.

Z. H. Putra, “Pengetahuan mahasiswa pedidikan guru sekolah dasar dalam merepresentasikan operasi pecahan dengan model persegi panjang,” J. Elem., vol. 2, no. 1, pp. 1–13, 2016, doi: 10.29408/jel.v2i1.174.

C. Browning, A. J. Edson, P. M. Kimani, and F. Aslan-Tutak, “Mathematical Content Knowledge for Teaching Elementary Mathematics: A Focus on Geometry and Measurement.,” Math. Enthus., vol. 11, no. 2, pp. 333–383, 2014, doi: 10.1093/infdis/jis619.

DOI: http://doi.org/10.11591/ijere.v11i2.22202

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