### Understanding the Concept of the Pi (π) Number for Elementary School of Pre-Service Teacher

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#### References

P. Balakrishnan, “The Programme for International Student Assessment (PISA) in Southeast Asia: Media Reception in English-language Publications and Projection in National Education Policies,” PhD Thesis, Loyola University Chicago, 2019.

K. Laksono and P. Retnaningdyah, “Literacy Infrastructure, Access to Books, and the Implementation of the School Literacy Movement in Primary Schools in Indonesia,” in IOP Conference Series: Materials Science and Engineering, 2018, vol. 296, no. 1, p. 012045.

S. Nugrahanto and D. Zuchdi, “Indonesia PISA Result and Impact on The Reading Learning Program in Indonesia,” 2019.

M. Tohir, “Hasil PISA Indonesia Tahun 2018 Turun Dibanding Tahun 2015,” 2019.

R. AMIATI, M. Sukaryawan, and E. Nawawi, “Analisis Kemampuan Literasi Sains Kimia Siswa Smp Di Kota Palembang Dalam Menyelesaikan Soal Model PISA,” PhD Thesis, Sriwijaya University, 2021.

M. Farhan and R. Satianingsih, “Problem Based Learning On Literacy Mathematics: Experimental Study in Elementary School,” Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang, vol. 5, no. 1, 2021.

P. Grootenboer and B. Hemmings, “Mathematics performance and the role played by affective and background factors peter grootenboer and brian hemmings,” Mathematics Education Research Journal, vol. 19, no. 3, pp. 3–20, 2007.

M. D. Darmawan and N. H. Dagamac, “Situation of Environmental Education in Senior High School Programs in Indonesia: Perspectives from the Teachers of Palembang,” Interdisciplinary Journal of Environmental and Science Education, vol. 17, no. 3-In Progress, p. e2241, 2021.

P. A. Kamil, S. Utaya, D. H. Utomo, A. W. Abdi, and S. Ridha, “An Evaluation of Changes to The Secondary School Geography Curriculum in Indonesia Disaster Risk Reduction Effort,” in IOP Conference Series: Earth and Environmental Science, 2021, vol. 630, no. 1, p. 012018.

L. H. Wijaya and M. Sholeh, “Evaluation of 2013 Curriculum Implementation in Economic Learning Class XI in Madrasah Aliyah Dakwah Islamiyah Putra Nurul Hakim Kediri West Lombok,” Edunesia: Jurnal Ilmiah Pendidikan, vol. 2, no. 1, pp. 93–103, 2021.

M. Pulungan and M. V. A. Suganda, “Need Analysis of Instruments Assessment of Curriculum 2013 Based on Higher Order Thinking Skills (HOTS) for Elementary School Students,” in 4th Sriwijaya University Learning and Education International Conference (SULE-IC 2020), 2021, pp. 269–274.

E. Chell and R. Athayde, “Planning for uncertainty: soft skills, hard skills and innovation,” Reflective Practice, vol. 12, no. 5, pp. 615–628, 2011.

R. De Villiers, “The incorporation of soft skills into accounting curricula: preparing accounting graduates for their unpredictable futures,” Meditari Accountancy Research, 2010.

M. Fadlillah, “Implementasi kurikulum 2013 dalam pembelajaran sd/mi, smp/mts, & sma/ma,” Yogyakarta: Ar-Ruzz Media, vol. 144, p. 15, 2014.

D. Ahmad, “Understanding the 2013 curriculum of English teaching through the teachers’ and policymakers’ perspectives,” International Journal of Enhanced Research in Educational Development (IJERED), vol. 2, no. 4, pp. 6–15, 2014.

I. Gunawan, “Indonesian Curriculum 2013: Instructional management, obstacles faced by teachers in implementation and the way forward,” in 3rd International Conference on Education and Training (ICET 2017), 2017, pp. 56–63.

F. Sodik and M. S. Wijaya, “Implementing scientific approach of 2013 curriculum at KTSP-based school for teaching present continuous tense,” English Education: Jurnal Tadris Bahasa Inggris, vol. 10, no. 1, pp. 16–28, 2017.

I. N. Ruja, “Survey Permasalahan Implementasi Kurikulum Nasional 2013 Mata Pelajaran Ilmu Pengetahuan Sosial Sekolah Menengah Pertama Di Jawa Timur,” Sejarah dan Budaya: Jurnal Sejarah, Budaya, dan Pengajarannya, vol. 9, no. 2, pp. 193–199, 2017.

N. N. Sukerti, M. P. A. N. Marhaeni, and M. P. N. K. Suarni, “Pengaruh Pembelajaran Tematik Terpadu melalui Pendekatan Saintifik terhadap Minat Belajar dan Hasil Belajar Siswa Kelas IV SD Negeri 2 Tibubeneng Kuta Utara.,” PhD Thesis, Ganesha University of Education, 2013.

E. S. Misel and K. Purwakarta, “Penerapan pendekatan matematika realistik untuk meningkatkan kemampuan representasi matematis siswa,” Metoda Didaktik, vol. 10, no. 2, pp. 27–36, 2016.

D. S. N. Afifah, “Interaksi belajar matematika siswa dalam pembelajaran kooperatif tipe STAD,” Pedagogia: Jurnal Pendidikan, vol. 1, no. 2, pp. 145–152, 2012.

M. A. Rasyid, “Profil Berpikir Reflektif Siswa SMP dalam Pemecahan Masalah Pecahan Ditinjau dari Perbedaan Gender,” Kreano, Jurnal Matematika Kreatif-Inovatif, vol. 8, no. 2, pp. 171–181, 2017.

S. Somawati, “Peran Efikasi Diri (Self Efficacy) terhadap Kemampuan Pemecahan Masalah Matematika,” Jurnal Konseling dan Pendidikan, vol. 6, no. 1, p. 39, 2018.

V. Cruceanu, P. Fortuny, and P. M. Gadea, “A survey on paracomplex geometry,” Rocky Mountain journal of mathematics, vol. 26, no. 1, pp. 83–115, 1996.

A. Einstein, Geometry and experience. na, 1921.

G. Lakoff and R. Núñez, Where mathematics comes from, vol. 6. New York: Basic Books, 2000.

Y. Roza, P. Yuanita, S. Saragih, H. Alfajri, and A. Saputra, “Computer-Based Media for Learning Geometry at Mathematics Class of Secondary Schools,” Journal of Educational Sciences, vol. 1, no. 1, pp. 79–91, 2017.

E. A. Burroughs and J. L. Luebeck, “Pre-service teachers in mathematics lesson study,” The Mathematics Enthusiast, vol. 7, no. 2, pp. 391–400, 2010.

M. S. Hannula, R. Kaasila, A. Laine, and E. Pehkonen, “Structure and Typical Profiles of Elementary Teacher Students’ View of Mathematics.,” International Group for the Psychology of Mathematics Education, vol. 3, pp. 89–96, 2005.

A. Jaffe and F. Quinn, “‘Theoretical mathematics’: toward a cultural synthesis of mathematics and theoretical physics,” Bulletin of the American Mathematical Society, vol. 29, no. 1, pp. 1–13, 1993.

C. C. Lewis and R. R. Perry, “A randomized trial of lesson study with mathematical resource kits: Analysis of impact on teachers’ beliefs and learning community,” in Large-scale studies in mathematics education, Springer, 2015, pp. 133–158.

N. P. Rahmawati and M. Dintarini, “Implementation of Patil Lele Traditional Game As Ethnomathematics to Improve Student’s Perspective to Mathematics,” MEJ (Mathematics Education Journal), vol. 3, no. 2, pp. 130–138, 2020.

R. Crouch and C. Haines*, “Mathematical modelling: Transitions between the real world and the mathematical model,” International Journal of Mathematical Education in Science and Technology, vol. 35, no. 2, pp. 197–206, 2004.

T. Dreyfus, “Advanced mathematical thinking processes,” in Advanced mathematical thinking, Springer, 2002, pp. 25–41.

N. Mercer and C. Sams, “Teaching children how to use language to solve maths problems,” Language and Education, vol. 20, no. 6, pp. 507–528, 2006.

I. W. P. Utami and B. I. Suwandayani, “PERENCANAAN PEMBELAJARAN TEMATIK BERBASIS KEARIFAN LOKAL DI SD MUHAMMADIYAH I MALANG,” TAMAN CENDEKIA: Jurnal Pendidikan Ke-SD-an, vol. 2, no. 1, pp. 185–191, 2018.

R. H. Austing, B. H. Barnes, D. T. Bonnette, G. L. Engel, and G. Stokes, “Curriculum’78: recommendations for the undergraduate program in computer science—a report of the ACM curriculum committee on computer science,” Communications of the ACM, vol. 22, no. 3, pp. 147–166, 1979.

S. B. Bush and K. S. Karp, “Prerequisite algebra skills and associated misconceptions of middle grade students: A review,” The Journal of Mathematical Behavior, vol. 32, no. 3, pp. 613–632, 2013.

L. Schudde and A. Y. Meiselman, “Early Outcomes of Texas Community College Students Enrolled in Dana Center Mathematics Pathways Prerequisite Developmental Courses. Research Brief.,” Center for the Analysis of Postsecondary Readiness, 2019.

J. Fairweather, “Linking evidence and promising practices in science, technology, engineering, and mathematics (STEM) undergraduate education,” Board of Science Education, National Research Council, The National Academies, Washington, DC, 2008.

C. A. Riedesel and L. Pikaart, “Focus on research: The role of attitudes in learning mathematics,” The Arithmetic Teacher, vol. 16, no. 8, pp. 631–640, 1969.

I. S. Horn, “Fast kids, slow kids, lazy kids: Framing the mismatch problem in mathematics teachers’ conversations,” The Journal of the Learning Sciences, vol. 16, no. 1, pp. 37–79, 2007.

K. Litster, B. MacDonald, and J. F. Shumway, “Experiencing active mathematics learning: Meeting the expectations for teaching and learning in mathematics classrooms,” The Mathematics Enthusiast, vol. 17, no. 2, pp. 615–640, 2020.

M. Y. Mazana, C. S. Montero, and R. O. Casmir, “Assessing students’ performance in mathematics in Tanzania: the teacher’s perspective,” International Electronic Journal of Mathematics Education, vol. 15, no. 3, p. em0589, 2020.

K. Weber, K. Lew, and J. P. Mejía-Ramos, “Using expectancy value theory to account for individuals’ mathematical justifications,” Cognition and Instruction, vol. 38, no. 1, pp. 27–56, 2020.

D. A. G. Ramírez, “Artificial Mathematical Intelligence.”

D. S. Nahdi, M. G. Jatisunda, U. Cahyaningsih, and V. Suciawati, “Pre-service teacher’s ability in solving mathematics problem viewed from numeracy literacy skills,” Elementary Education Online, vol. 19, no. 4, pp. 1902–1910, 2020.

J. T. Remillard and O.-K. Kim, “A framework for analyzing elementary mathematics curriculum materials,” in Elementary mathematics curriculum materials, Springer, 2020, pp. 1–25.

A. D. Utami and C. Sa’dijah, “Six Levels of Indonesian Primary School Students’ Mental Model in Comprehending the Concept of Integer.,” International Journal of Instruction, vol. 11, no. 4, pp. 29–44, 2018.

M. J. Burke and D. L. Taggart, “So That’s Why 22/7 Is Used for Pi!,” The Mathematics Teacher, vol. 95, no. 3, pp. 164–169, 2002.

D. S. Janorkar, “True Value of Pi (π) Now is 3.141592653 we Call This as Goba Constant we Symbolic it as This Goba, This Letter,” International Journal of Mathematics Trends and Technology (IJMTT)-Volume, vol. 59, pp. 27–34, 2018.

J. Mišutka and L. Galamboš, “Extending full text search engine for mathematical content,” Towards Digital Mathematics Library. Birmingham, United Kingdom, July 27th, 2008, pp. 55–67, 2008.

N. Backhouse, “79.36 Pancake Functions and Approximations to π,” The Mathematical Gazette, pp. 371–374, 1995.

F. Beukers, “A rational approach to pi,” Nieuw archief voor wiskunde. Serie 5, vol. 1, no. 4, pp. 372–379, 2000.

D. H. Clements, J. Sarama, M. E. Spitler, A. A. Lange, and C. B. Wolfe, “Mathematics learned by young children in an intervention based on learning trajectories: A large-scale cluster randomized trial,” Journal for Research in Mathematics Education, vol. 42, no. 2, pp. 127–166, 2011.

J. De Lange, “Using and applying mathematics in education,” in International handbook of mathematics education, Springer, 1996, pp. 49–97.

W. Glänzel and C. de Lange, “A distributional approach to multinationality measures of international scientific collaboration,” Scientometrics, vol. 54, no. 1, pp. 75–89, 2002.

J. B. Nebe, F. Luethen, R. Lange, and U. Beck, “Interface interactions of osteoblasts with structured titanium and the correlation between physicochemical characteristics and cell biological parameters,” Macromolecular bioscience, vol. 7, no. 5, pp. 567–578, 2007.

K. Gravemeijer and D. van Eerde, “Design research as a means for building a knowledge base for teachers and teaching in mathematics education,” The elementary school journal, vol. 109, no. 5, pp. 510–524, 2009.

H. A. A. Van Eerde, “Design research: Looking in to the heart of mathematics education,” Proceeding of the first SEA-DR, 2013.

K. Yıldırım, “Raising the quality in qualitative research,” Elementary Education Online, vol. 9, no. 1, 2010.

N. Golafshani, “Understanding reliability and validity in qualitative research,” The qualitative report, vol. 8, no. 4, pp. 597–607, 2003.

S. Mathison, “Why triangulate?,” Educational researcher, vol. 17, no. 2, pp. 13–17, 1988.

D. Carnine, “Instructional design in mathematics for students with learning disabilities,” Journal of learning disabilities, vol. 30, no. 2, pp. 130–141, 1997.

M. Abramowitz, I. A. Stegun, and R. H. Romer, Handbook of mathematical functions with formulas, graphs, and mathematical tables. American Association of Physics Teachers, 1988.

D. L. Ball, “Research on teaching mathematics: Making subject matter knowledge part of the equation.,” 1988.

I. Mueller, “Philosophy of Mathematics and Deductive Structure of Euclid’s" Elements",” 1981.

D. M. S. F. Gaudiot and L. B. Martins, “The Classroom Built Environment as an Inclusive Learning Process for the Deaf Students: Contribution of Ergonomics in Design,” in International Conference on Applied Human Factors and Ergonomics, 2018, pp. 531–540.

R. Griffiths*, “Knowledge production and the research–teaching nexus: The case of the built environment disciplines,” Studies in Higher education, vol. 29, no. 6, pp. 709–726, 2004.

U. Iyer-Raniga and M. M. Andamon, “Transformative learning: Innovating sustainability education in built environment,” International Journal of Sustainability in Higher Education, 2016.

B. I. Suwandayani, Y. Fakhruddin, and L. S. Astutik, “Implementation of the Numeracy Literacy Program in Learning Mathematics Remaining Class IV in Muhammadiyah Elementary Schools,” PROCEEDING UMSURABAYA, 2020.

R. D. Anderson, “Reforming science teaching: What research says about inquiry,” Journal of science teacher education, vol. 13, no. 1, pp. 1–12, 2002.

R. B. Barr and J. Tagg, “From teaching to learning—A new paradigm for undergraduate education,” Change: The magazine of higher learning, vol. 27, no. 6, pp. 12–26, 1995.

M. Cochran-Smith and M. K. Fries, “Sticks, stones, and ideology: The discourse of reform in teacher education,” Educational researcher, vol. 30, no. 8, pp. 3–15, 2001.

L. Darling-Hammond, “Constructing 21st-century teacher education,” Journal of teacher education, vol. 57, no. 3, pp. 300–314, 2006.

A. Moore, The good teacher: Dominant discourses in teaching and teacher education. Psychology Press, 2004.

B. Cerbin, “The Nature and Development of Informal Reasoning Skills in College Students.,” 1988.

J. Elander, K. Harrington, L. Norton, H. Robinson, and P. Reddy, “Complex skills and academic writing: a review of evidence about the types of learning required to meet core assessment criteria,” Assessment & Evaluation in Higher Education, vol. 31, no. 1, pp. 71–90, 2006.

G. S. Pratama and H. Retnawati, “Urgency of higher order thinking skills (HOTS) content analysis in mathematics textbook,” in Journal of Physics: Conference Series, 2018, vol. 1097, no. 1, p. 012147.

A.-M. Nortvig, A. K. Petersen, and S. H. Balle, “A Literature Review of the Factors Influencing E-Learning and Blended Learning in Relation to Learning Outcome, Student Satisfaction and Engagement,” Electronic Journal of E-learning, vol. 16, no. 1, pp. pp46–55, 2018.

DOI: http://doi.org/10.11591/ijere.v10i4.21674

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