Main Article Content
Abstract
Students’ learning speed and number sense are critical aspects of mathematics education, yet little is known about how these factors interrelate across different learner profiles. Addressing this gap, this research investigates the characteristics of students’ number sense in relation to their learning speed, providing a novel perspective on tailoring mathematics instruction. This qualitative case study involved 185 8th and 9th students from seven junior high schools across seven sub-districts in Sukabumi, Indonesia, who had previously studied fractions. The research was conducted in three stages: identifying learning speed through IQ scores, self-assessment, and teacher evaluations; administering a diagnostic test to assess number sense; and analyzing the number sense characteristics of representative students from each learning speed category. Findings reveal a comprehensive mapping of learning speeds, highlighting the role of factors such as conceptual understanding, study habits, and mathematical content processing in number sense achievement. Notably, differences were observed among slow, average, and fast learners, suggesting the need for differentiated instructional strategies. The implications of this study emphasize the importance of targeted approaches in mathematics teaching, enabling educators to foster inclusive environments that cater to diverse learning needs. This research contributes a unique methodology for integrating cognitive and practical assessments to better understand and support students’ mathematical development.
Keywords
Article Details

This work is licensed under a Creative Commons Attribution 4.0 International License.
References
- Afriyani, D., Sa’dijah,C., Subanji & Muksar, M. (2018). Characteristics of students’ mathematical understanding in solving multiple representation tas based on solo taxonomy. International Electronic Journal of Mathematics Education, 13(3), 281-287. https://doi.org/10.12973/iejme/3920
- Al-Mashaqbeh, I. F. (2016). IPad in Elementary School Math Learning Setting. International Journal of Emerging Technologies in Learning (iJET), 11(02), 48–52. https://doi.org/10.3991/ijet.v11i02.5053
- Andini, W. & Jupri, A. (2017). Student Obstacles in Ratio and Proportion Learning. Journal of Physics: Conference Series, 812(1), 012048. https://doi.org/10.1088/1742-6596/812/1/012048
- Arbaugh, F., & Brown, C.A. (2005). Analyzing Mathematical Tasks: A Catalyst for Change?. Journal of Mathematics Teacher Education, 8, 499–536. https://doi.org/10.1007/s10857-006-6585-3
- Ardi, Z., Rangka, B., Ifdil, I., Suranata, K., Azhar, Z., Daharnis, D., Afdal, A., & Alizamar, A. (2019). Exploring The Elementary Students Learning Difficulties Risks on Mathematics Based on Students Mathematic Anxiety, Mathematics Self-Efficacy and Value Beliefs Using RASCH Measurement. Journal of Physics: Conference Series, 1157(1), 032095. https://doi.org/10.1088/1742-6596/1157/3/032095
- Baglio, G., Blasi, V., Intra, F.S., Castelli, I., Massaro, D., Baglio, F., Valle, A., Zanette, M., Marchetti, A. (2016). Social Competence in Children With Borderline Intellectual Functioning : Delayed Development of Theory of Mind Across All Complexity Levels. Frontiers in Psychology, 7. https://doi.org/10.3389/fpsyg.2016.01604
- Bailey, D. H., Hoard, M. K., & Nugent, L. R. (2021). Fractions: A significant source of difficulty in elementary mathematics education. Journal of Educational Psychology, 113(5), 951-963. https://doi.org/10.1037/edu0000644
- Balkist, P. S., & Agustiani, N. (2020). Responses of students with special needs to online mathematics learning during pandemic. Journal of Physics: Conference Series, 1657(1), 012031. http://dx.doi.org/10.1088/1742-6596/1657/1/012031
- Balkist, P.S., Patimah, S. & Perlita, N. (2022). Analisis pembelajaran matematika di sekolah penggerak dalam menjalankan kurikulum merdeka di masa pandemi [An analysis of mathematics learning in driving schools in implementing the independent curriculum during the pandemic]. Jurnal PRISMA, 11(2), 619-629. https://doi.org/10.35194/jp.v11i2.2640
- Bermejo, V., & Blanco, M. (2009). Perfil matemático de los niños con Dificultades Específicas de Aprendizaje en Matemáticas en función de su capacidad lectora. Enseñanza de las Ciencias. Revista de investigación y experiencias didácticas, 27(3), 381-392. https://doi.org/10.5565/rev/ensciencias.3649
- Biesta, G., Priestley, M., & Robinson, S. (2015). The role of beliefs in teacher agency. Teachers and Teaching, 21(6), 624-640. https://doi.org/10.1080/13540602.2015.1044325
- Binet, A. (1905). The development of intelligence in children. Publications of the Training School at Vineland. http://psychclassics.yorku.ca/Binet/intro.htm.
- Black, M.M., Walker, S.P.W., Fernald, L.C.H., Andersen, C.T., DiGirolamo, A.M., Lu, C., McCoy, D.C., Fink, G., Shawar, Y.R., Shiffman, J., Devercelli, A.E., Wodon, Q.T., Vargas-Baron, E., & Grantham-McGregor, S. (2017). Early childhood development coming of age: Science through the life course. The Lancet, 389(10064), 77-90. https://www.thelancet.com/journals/lancet/article/PIIS0140-6736(16)31389-7/fulltext
- Boaler, J. (2016). Mathematical mindsets: Unleashing students’ potential through creative math, inspiring messages, and innovative teaching. Jossey-Bass.
- Brown, M., & Quinn, R. (2020). Exploring the connections between fraction understanding and the development of number sense in students. International Journal of Mathematical Education in Science and Technology, 51(3), 358-374. https://doi.org/10.1080/0020739X.2019.1633834
- Canivez, G. L., Grieder, S., & Buenger, A. (2021). Construct Validity of the German Wechsler Intelligence Scale for Children–Fifth Edition: Exploratory and Confirmatory Factor Analyses of the 15 Primary and Secondary Subtests. Sage Journals 28(2), 327-352. https://doi.org/10.1177/1073191120936330
- Capar, G., & Tarim, K. (2015). Efficacy of the cooperative learning method on mathematics achievement and attitude: A meta-analysis research. Kuram ve Uygulamada Egitim Bilimleri, 15(2), 553-559. https://doi.org/10.12738/ESTP.2015.2.2098
- Carless,D. & Boud,D. (2018). The development of student feedback literacy: enabling uptake of feedback. Assessment & Evaluation in Higher Education, 43(8), 1315- 1325, https://doi.org/10.1080/02602938.2018.1463354
- Chapman, O. (2013). Mathematical-task knowledge for teaching. Journal of Mathematics Teacher Education, 16, 1–6. https://doi.org/10.1007/s10857-013-9234-7
- Cheng, Y.W., Wang, Y., Cheng, I.L. & Chen,N.S. (2019). An in-depth analysis of the interaction transitions in a collaborative Augmented Reality-based mathematic game. Interactive Learning Environments, 27(5-6), 782-796. https://doi.org/10.1080/10494820.2019.1610448
- Dehaene, S. (1997). Precis of The Number Sense. Wiley Online Library, 16(1), 16-36. https://doi.org/10.1111/1468-0017.00154
- DeWolf, M., Bassok,M., & Holyoak,K.J. (2015). From rational numbers to algebra: Separable contributions of decimal magnitude and relational understanding of fractions. Journal of Experimental Child Psychology, 133, Pages 72-84. https://doi.org/10.1016/j.jecp.2015.01.013
- Dougherty, L.R., & Guillette, L.M. (2018). Linking personality and cognition: a meta-analysis. The Royal Society Publishing, 373(1756). http://doi.org/10.1098/rstb.2017.0282
- Emmiyati, N., Rasyid, M.A., Rahman, M.A., Arsyad, A. & Dirawan, G.D. (2014). Multiple Intelligences Profiles of Junior Secondary School Students in Indonesia. International Education Studies, 7(11), 103-110. http://dx.doi.org/10.5539/ies.v7n11p103
- Fauzi, A., Marzuki, M., & Purnama, S. (2020). Analyzing students’ misconceptions in fraction concepts: A case study in Indonesia. Journal of Mathematics Education, 13(1), 55-68. https://doi.org/10.22487/jme.v13i1.11289
- Filippetti, V.A. & Richaud, M.C. (2016). A Structural Equation Modeling of Executive functions, IQ and Mathematical Skill in Primary Students: Differential Effects on Number Production, Mental Calculus and Arithmetical Problems. Taylor & Francis, 23(7). https://doi.org/10.1080/09297049.2016.1199665
- Flynn, J.R. & Weiss, L.G. (2007). American IQ Gains From 1932 to 2002: The WISC Subtests and Educational Progress. Taylor & Francis, 7(2). https://doi.org/10.1080/15305050701193587
- Fritz,A., Haase, V.G., & Rasanen, P. (2019). International Handbook of Mathematical Learning Difficulties. Springer. https://link.springer.com/book/10.1007/978-3-319-97148-3
- Gagné, F. (2004). Transforming gifts into talents: The DMGT as a developmental theory. High Ability Studies, 15(2), 119-147. https://doi.org/10.1080/1359813042000314682
- Gagné, F. (2013). The DMGT: Changes within, beneath, and beyond. Talent Development & Excellence, 5(1), 5-19.
- Gea, M. M., Hernández-Solís, L. A., Batanero, C., & Álvarez-Arroyo, R. (2023). Relating students’ proportional reasoning level and their understanding of fair games. Journal on Mathematics Education, 14(4), 663–682. https://doi.org/10.22342/jme.v14i4.pp663-682
- Gersten, R., & Chard, D. (2014). Number sense: Rethinking arithmetic instruction for struggling learners. The Journal of Special Education, 33(1), 18-28. https://doi.org/10.1177/002246699903300102
- Greeno, J.G. (1991). Number Sense as Situated Knowing in a Conceptual Domain. The National Council of Teachers of Mathematics, Inc. https://doi.org/10.5951/jresematheduc.22.3.0170
- Handa, M.C. (2019). Leading Differentiated Learning for the Gifted. Roeper Review, 41(2), 102-118. https://doi.org/10.1080/02783193.2019.1585213
- Hariyani, M., Herman, T., Suryadi, D., & Prabawanto, S. (2022). Exploration of student learning obstacles in solving fraction problems in elementary school. International Journal of Educational Methodology, 8(3), 505-515. https://doi.org/10.12973/ijem.8.3.505
- Hayes,T.L., Cahill, N. D. & Kanan, C. (2019). Memory Efficient Experience Replay for Streaming Learning. 2019 International Conference on Robotics and Automation (ICRA), Montreal, QC, Canada, pp. 9769-9776, https://doi.org/10.1109/ICRA.2019.8793982.
- Hoof, J.V., Ceulemans,T.D.E., Verschaffel, L., Dooren,W.M., (2018). Towards a mathematically more correct understanding of rational numbers: A longitudinal study with upper elementary school learners. Learning and Individual Differences, 61, 99-108. https://doi.org/10.1016/j.lindif.2017.11.010
- Hwang, G.J., Wang, S.Y., & Lai, C.L. (2021). Effects of a social regulation-based online learning framework on students’ learning achievements and behaviors in mathematics. Computers & Education, 160. https://doi.org/10.1016/j.compedu.2020.104031.
- Jupri, A. & Drijvers, P. (2016). Student Difficulties in Mathematizing Word Problems in Algebra. Eurasia Journal of Mathematics, Science & Technology Education, 12(9), 2481-2502. https://doi.org/10.12973/eurasia.2016.1299a
- Jupri, A., Drijvers, P. & Heuvel-Panhuizen, V.D., (2014). M. Difficulties in initial algebra learning in Indonesia. Mathematics Education Research Journal, 26, 683–710 . https://doi.org/10.1007/s13394-013-0097-0
- Karim, K., Budayasa, I., & Siswono, T.Y.E. (2018). High IQ Students Thinking Profile in Making External Mathematical Connections Seen from Gender Difference. Proceeding of the 1st International Conference on Intellectuals’ Global Responsibility (ICIGR 2017). https://doi.org/10.2991/icigr-17.2018.35
- Kaur, P., Singh, M., & Josan, G.S. (2015). Classification and Prediction Based Data Mining Algorithms to Predict Slow Learners in Education Sector. Procedia Computer Science, 57, 500-508. https://doi.org/10.1016/j.procs.2015.07.372.
- Kaznowski, K. (2004). Slow Learners: Are Educators Leaving Them Behind?. Sage Journals, 88(641), 31-45. https://doi.org/10.1177/019263650408864103
- Kementerian Pendidikan dan Kebudayaan. (2013). Kurikulum 2013: Kompetensi dasar sekolah menengah pertama/madrasah tsanawiyah (SMP/MTs). Jakarta: Kementerian Pendidikan dan Kebudayaan.
- Kementerian Pendidikan, Kebudayaan, Riset, dan Teknologi. (2022). Kurikulum Merdeka: Pedoman implementasi kurikulum merdeka. Jakarta: Kementerian Pendidikan, Kebudayaan, Riset, dan Teknologi.
- Khaira, U. & Herman,T. (2020) . Assessment processes for slow learners in mathematics learning. Journal of Physics: Conference Series, 1521, 032097. https://doi.org/10.1088/1742-6596/1521/3/032097
- Lai, Y., Zhu, X., Chen, Y., & Li, Y., (2015). Effects of mathematics anxiety and mathematical metacognition on word problem solving in children with and without mathematical learning difficulties. PLOS ONE, 10(6) e0130570. https://doi.org/10.1371/journal.pone.0130570
- Lee, J.E., & Lee, M.Y. (2023). How elementary prospective teachers use three fraction models: their perceptions and difficulties. Journal of Mathematics Teacher Education, 26, 455–480. https://doi.org/10.1007/s10857-022-09537-4
- Lee, S. W. Y., Tu, H. Y., Chen, G. L., & Lin, H. M. (2023). Exploring the multifaceted roles of mathematics learning in predicting students' computational thinking competency. International Journal of STEM Education, 10, 64. https://doi.org/10.1186/s40594-023-00455-2
- Lortie-Forgues, H., & Siegler, R. S. (2017). Conceptual knowledge of decimal arithmetic. Journal of Educational Psychology, 109(3), 374–386. https://doi.org/10.1037/edu0000148
- Lynn, R. & Mikk, J. (2009). National IQs Predict Educational Attainment in Math, Reading and Science Across 56 Nations. Intelligence. https://doi.org/10.1016/j.intell.2009.01.002
- Maghfirah, M., & Mahmudi, A. (2019). Analisis Kemampuan Number Sense Siswa SMP. Master’s thesis, Universitas Negeri Yogyakarta. Retrieved from eprints.uny.ac.id
- McIntosh, A., & Dole, S. (2000). Number Sense and Mental Computation : Implications for Numeracy. Australian Council for Educational Research (ACER). https://research.acer.edu.au/cgi/viewcontent.cgi?referer=&httpsredir=1&article=1001&context=research_conference_2000#page=42
- Mercader,J., Presentación,M.J., Siegenthaler,R., Molinero, V., Miranda, A., (2017). Motivación y rendimiento académico en matemáticas: un estudio longitudinal en las primeras etapas educativas. Revista de Psicodidáctica, 22(2), 157-163. https://doi.org/10.1016/j.psicod.2017.05.007.
- Morgan, H. (2013) Maximizing Student Success with Differentiated Learning. The Clearing House: A Journal of Educational Strategies, Issues and Ideas, 87(1), 34-38. https://doi.org/10.1080/00098655.2013.832130
- Muchoko, C., Jupri, A., & Prabawanto, S. (2019). Algebraic Visualization Difficulties of Students in Junior High School. Journal of Physics: Conferences Series, 1157, 032108. https://doi.org/10.1088/1742-6596/1157/3/032108
- Muslimin, M., Hirza, B., Nery, R., Yuliani, R., Heru, H., Supriadi, A., Desvitasari, T., & Khairani, N. (2022). Peningkatan Hasil Belajar Matematika Siswa Melalui Pembelajaran Berdiferensiasi dalam Mewujudkan Merdeka Belajar. Jurnal Pendidikan Matematika RAFA, 8(2), 22-32. https://doi.org/https://doi.org/10.19109/jpmrafa.v8i2.14770
- National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA. Retrieved from: http://standards.nctm.org/document/chapter4/numb.htm.
- Novita, S., Kusuma, P. A., Ratnasari, R. D., Khairani, R. N., Rahmayanthi, D., Noer, A. H., & Purba, F. D. (2022). Mathematics Assessment Using Virtual Reality: A Study on Indonesian Elementary School Children. 2022 International Conference on Assessment and Learning (ICAL), Bali, Indonesia, pp. 1-6, https://doi.org/10.1109/ICAL50372.2022.10075577
- Nurhastuti, Ahman, Juntika & Susanto, E. (2018). Potential Test Gifted and Talented Children : Study of Elementary School in Indonesia. Journal of Physics: Conferences Series, 1114, 012043. https://doi.org/10.1088/1742-6596/1114/1/012043
- Patmawati, H., Turmudi & Prabawanto,S. (2022). Mathematical Thinking Process Based on Student IQ Test Results and Talented Mathematical. Journal of Physics: Conferences Series, 2279, 012011. https://doi.org/10.1088/1742-6596/2279/1/012011
- Poh, B. K., Lee, S. T., Yeo, G. S., Tang, K. C., Noor Afifah, A. R., Siti Hanisa, A., ... & SEANUTS Study Group Bee Koon Poh A. Karim Norimah Abd Talib Ruzita Siti Balkis Budin Alvin Lai Oon Ng Mohd Din Siti Haslinda Jyh Eiin Wong Mohd Noor Ismail Jamal Rahman Nor Azmi Kamaruddin Safii Nik Shanita Yit Siew Chin Bee Suan Wee Nor Aini Jamil. (2019). Low socioeconomic status and severe obesity are linked to poor cognitive performance in Malaysian children. BMC Public Health, 19 (Suppl 4), 541. https://doi.org/10.1186/s12889-019-6856-4
- Posicelskaya, M.A., Rudchenko, T.A. & Semenov, A.L. (2023). Mathematical Elements of Elementary Education. Dokl. Math. 107(Suppl 1), S10–S41. https://doi.org/10.1134/S1064562423700576
- Pulungan, R.O.T. & Suryadi, D. (2019). From Integer to Real Numbers : Students’ Obstacles in Understanding the Decimal Numbers. Journal of Physics: Conferences Series, 1157, 042086. https://doi.org/10.1088/1742-6596/1157/4/042086
- Ren, K., & Gunderson, E.A. (2021). The dynamic nature of children’s strategy use after receiving accuracy feedback in decimal comparisons. Journal of Experimental Child Psychology, 202. https://doi.org/10.1016/j.jecp.2020.105015
- Renzulli, J.S. (1978). What Makes Giftedness? Reexamining a Definition. Phi Delta Kappan, 60(3), 180-84. https://eric.ed.gov/?id=EJ190430
- Roording-Ragetlie, S., Tabach, M., Bakker, A., & van der Schaaf, M. (2021). How to foster students’ number sense? A review of instructional approaches and the role of digital tools. Educational Studies in Mathematics, 107(2), 271-295. https://doi.org/10.1007/s10649-020-10027-2
- Sadieda, L.U.,Wahyudi, B., Kirana, R.D., Kamaliyah,S., Arsyavina,V. (2022). Implementasi Model Blended Learning Pada Pembelajaran Matematika Berbasis Kurikulum Merdeka. Jurnal Review Pembelajaran Matematika, 7(1), 55-72. https://doi.org/10.15642/jrpm.2022.7.1.55-72
- Santrock, J. W. (2019). Educational Psychology (6th ed.). McGraw-Hill Education.
- Setyawan, F., Andriyani, Handayani, T.K., Ratih, K., Sutopo, A., Rusli, T.I., & Alfiany, N.R. (2021). Rigorous Thinking in Mathematics Modelling for Slow Learners. Journal of Physics: Conferences Series, 1720, 012005. https://doi.org/10.1088/1742-6596/1720/1/012005
- Siegler, R. S., Fazio, L., Bailey, D. H., & Zhou, X. (2014). Relations of different types of numerical magnitude representations to mathematics achievement. Child Development Perspectives, 8(3), 144-150. https://doi.org/10.1111/cdep.12073
- Sintawati, M., Sukma, H.H., & Marini, A. (2022) Mathematics Pedagogical knowledge for slow learners teaching. Journal of Physics: Conferences Series, 2577, 020061. https://doi.org/10.1063/5.0101283
- Siregar, R.N., Suryadi, D., Prabawanto, S., & Mujib, A. (2023). Students’ mathematics self efficacy in learning social arithmetic topic. International Journal of Evaluation and Research in Education (IJERE), 12(4). https://doi.org/10.11591/ijere.v12i4.25480
- Slavin, R. E. (2021). Educational Psychology: Theory and Practice (12th ed.). Pearson.
- Sood, S., & Jitendra, A. K. (2007). A Comparative Analysis of Number Sense Instruction in Reform-Based and Traditional Mathematics Textbooks. The Journal of Special Education, 41(3), 145-157. https://doi.org/10.1177/00224669070410030101
- Sovia, A. & Herman, T. (2020). Gesture of slow learners student in mathematical Communication. Journal of Physics: Conferences Series, 1464, 012046. https://doi.org/10.1088/1742-6596/1464/1/012046
- Sudihartinih, E. & Wahyudin. (2019). Relationship Between Intelligence Quotient, Gender, Learning Outcomes and Geometry Thinking Levels. Proceeding of International Conference on Mathematics and Sciences Education 2019. https://doi.org/10.1088/1742-6596/1521/3/032031
- Südkamp, A., Kaiser, J., & Möller, J. (2012). Accuracy of teachers’ judgments of students’ academic achievement: A meta-analysis. Journal of Educational Psychology, 104(3), 743–762. https://doi.org/10.1037/a0027627
- Sugiman., & Murdiyani, N. M. (2019). The identification of students’ didactic obstacles in learning fractions based on the form of the problems. Journal of Physics: Conference Series 1320(1), 012060. https://doi.org/10.1088/1742-6596/1320/1/012060
- Suryadi, R., Ikhsan, M., & Yuliana, E. (2023). Challenges in conceptualizing fractions among students: A study in Indonesian primary schools. European Journal of Educational Research, 12(1), 375-388. https://doi.org/10.12973/eu-jer.12.1.375
- Torbeyns, J., Schneider, M., & van Dooren, W. (2022). The interplay of mathematical mindset and students’ performance: A longitudinal study. International Journal of STEM Education, 9(1), 1-14. https://doi.org/10.1186/s40594-022-00326-8
- Trivena, V., Ningsih, A.R., & Jupri, A. (2017). Misconception on Addition and Substraction of Fraction at Primary School Students in Fifth-Grade. Journal of Physics: Conference Series, 895, 012139. https://doi.org/10.1088/1742-6596/895/1/012139
- Vos, T., Allen, C., Arora, M., Zeeb, H., Zuhlke, L.J. (2016). Global, Regional, and National Incidence, Prevalence, and Years lived with Disability for 310 diseases and injuries, 1990-2015 : A systematic analysis for the Global Burden of Disease Study 2015. The Lancet, 388(10053), 1545-1602. https://www.thelancet.com/journals/lancet/article/PIIS0140-6736(16)31678-6/fulltext
- Wechsler, D. (1939). The nature of intelligence. In D. Wechsler, The measurement of adult intelligence (pp. 3–12). Williams & Wilkins Co. https://doi.org/10.1037/10020-001
- Widjaja, W., Stacey, K., & Steinle, V. (2008). Misconceptions about density of decimals : insights from Indonesian pre-service teachers’ work. Journal for science and mathematics education in Southeast Asia, 31(2), 117-131. http://hdl.handle.net/10536/DRO/DU:30048398
- Wilson, A.J., Dehaene, S., Dubois, O., & Fayol, M. (2009). Effects of an Adaptive Game Intervention in Accessing Number Sense in Low-Socioeconomic-Status Kindergarten Children. Wiley Online Library, 3(4). https://doi.org/10.1111/j.1751-228X.2009.01075.x
- Yang, D.-C. (2005). Number sense strategies used by 6th‐grade students in Taiwan. Educational Studies, 31(3), 317–333. https://doi.org/10.1080/03055690500236845
References
Afriyani, D., Sa’dijah,C., Subanji & Muksar, M. (2018). Characteristics of students’ mathematical understanding in solving multiple representation tas based on solo taxonomy. International Electronic Journal of Mathematics Education, 13(3), 281-287. https://doi.org/10.12973/iejme/3920
Al-Mashaqbeh, I. F. (2016). IPad in Elementary School Math Learning Setting. International Journal of Emerging Technologies in Learning (iJET), 11(02), 48–52. https://doi.org/10.3991/ijet.v11i02.5053
Andini, W. & Jupri, A. (2017). Student Obstacles in Ratio and Proportion Learning. Journal of Physics: Conference Series, 812(1), 012048. https://doi.org/10.1088/1742-6596/812/1/012048
Arbaugh, F., & Brown, C.A. (2005). Analyzing Mathematical Tasks: A Catalyst for Change?. Journal of Mathematics Teacher Education, 8, 499–536. https://doi.org/10.1007/s10857-006-6585-3
Ardi, Z., Rangka, B., Ifdil, I., Suranata, K., Azhar, Z., Daharnis, D., Afdal, A., & Alizamar, A. (2019). Exploring The Elementary Students Learning Difficulties Risks on Mathematics Based on Students Mathematic Anxiety, Mathematics Self-Efficacy and Value Beliefs Using RASCH Measurement. Journal of Physics: Conference Series, 1157(1), 032095. https://doi.org/10.1088/1742-6596/1157/3/032095
Baglio, G., Blasi, V., Intra, F.S., Castelli, I., Massaro, D., Baglio, F., Valle, A., Zanette, M., Marchetti, A. (2016). Social Competence in Children With Borderline Intellectual Functioning : Delayed Development of Theory of Mind Across All Complexity Levels. Frontiers in Psychology, 7. https://doi.org/10.3389/fpsyg.2016.01604
Bailey, D. H., Hoard, M. K., & Nugent, L. R. (2021). Fractions: A significant source of difficulty in elementary mathematics education. Journal of Educational Psychology, 113(5), 951-963. https://doi.org/10.1037/edu0000644
Balkist, P. S., & Agustiani, N. (2020). Responses of students with special needs to online mathematics learning during pandemic. Journal of Physics: Conference Series, 1657(1), 012031. http://dx.doi.org/10.1088/1742-6596/1657/1/012031
Balkist, P.S., Patimah, S. & Perlita, N. (2022). Analisis pembelajaran matematika di sekolah penggerak dalam menjalankan kurikulum merdeka di masa pandemi [An analysis of mathematics learning in driving schools in implementing the independent curriculum during the pandemic]. Jurnal PRISMA, 11(2), 619-629. https://doi.org/10.35194/jp.v11i2.2640
Bermejo, V., & Blanco, M. (2009). Perfil matemático de los niños con Dificultades Específicas de Aprendizaje en Matemáticas en función de su capacidad lectora. Enseñanza de las Ciencias. Revista de investigación y experiencias didácticas, 27(3), 381-392. https://doi.org/10.5565/rev/ensciencias.3649
Biesta, G., Priestley, M., & Robinson, S. (2015). The role of beliefs in teacher agency. Teachers and Teaching, 21(6), 624-640. https://doi.org/10.1080/13540602.2015.1044325
Binet, A. (1905). The development of intelligence in children. Publications of the Training School at Vineland. http://psychclassics.yorku.ca/Binet/intro.htm.
Black, M.M., Walker, S.P.W., Fernald, L.C.H., Andersen, C.T., DiGirolamo, A.M., Lu, C., McCoy, D.C., Fink, G., Shawar, Y.R., Shiffman, J., Devercelli, A.E., Wodon, Q.T., Vargas-Baron, E., & Grantham-McGregor, S. (2017). Early childhood development coming of age: Science through the life course. The Lancet, 389(10064), 77-90. https://www.thelancet.com/journals/lancet/article/PIIS0140-6736(16)31389-7/fulltext
Boaler, J. (2016). Mathematical mindsets: Unleashing students’ potential through creative math, inspiring messages, and innovative teaching. Jossey-Bass.
Brown, M., & Quinn, R. (2020). Exploring the connections between fraction understanding and the development of number sense in students. International Journal of Mathematical Education in Science and Technology, 51(3), 358-374. https://doi.org/10.1080/0020739X.2019.1633834
Canivez, G. L., Grieder, S., & Buenger, A. (2021). Construct Validity of the German Wechsler Intelligence Scale for Children–Fifth Edition: Exploratory and Confirmatory Factor Analyses of the 15 Primary and Secondary Subtests. Sage Journals 28(2), 327-352. https://doi.org/10.1177/1073191120936330
Capar, G., & Tarim, K. (2015). Efficacy of the cooperative learning method on mathematics achievement and attitude: A meta-analysis research. Kuram ve Uygulamada Egitim Bilimleri, 15(2), 553-559. https://doi.org/10.12738/ESTP.2015.2.2098
Carless,D. & Boud,D. (2018). The development of student feedback literacy: enabling uptake of feedback. Assessment & Evaluation in Higher Education, 43(8), 1315- 1325, https://doi.org/10.1080/02602938.2018.1463354
Chapman, O. (2013). Mathematical-task knowledge for teaching. Journal of Mathematics Teacher Education, 16, 1–6. https://doi.org/10.1007/s10857-013-9234-7
Cheng, Y.W., Wang, Y., Cheng, I.L. & Chen,N.S. (2019). An in-depth analysis of the interaction transitions in a collaborative Augmented Reality-based mathematic game. Interactive Learning Environments, 27(5-6), 782-796. https://doi.org/10.1080/10494820.2019.1610448
Dehaene, S. (1997). Precis of The Number Sense. Wiley Online Library, 16(1), 16-36. https://doi.org/10.1111/1468-0017.00154
DeWolf, M., Bassok,M., & Holyoak,K.J. (2015). From rational numbers to algebra: Separable contributions of decimal magnitude and relational understanding of fractions. Journal of Experimental Child Psychology, 133, Pages 72-84. https://doi.org/10.1016/j.jecp.2015.01.013
Dougherty, L.R., & Guillette, L.M. (2018). Linking personality and cognition: a meta-analysis. The Royal Society Publishing, 373(1756). http://doi.org/10.1098/rstb.2017.0282
Emmiyati, N., Rasyid, M.A., Rahman, M.A., Arsyad, A. & Dirawan, G.D. (2014). Multiple Intelligences Profiles of Junior Secondary School Students in Indonesia. International Education Studies, 7(11), 103-110. http://dx.doi.org/10.5539/ies.v7n11p103
Fauzi, A., Marzuki, M., & Purnama, S. (2020). Analyzing students’ misconceptions in fraction concepts: A case study in Indonesia. Journal of Mathematics Education, 13(1), 55-68. https://doi.org/10.22487/jme.v13i1.11289
Filippetti, V.A. & Richaud, M.C. (2016). A Structural Equation Modeling of Executive functions, IQ and Mathematical Skill in Primary Students: Differential Effects on Number Production, Mental Calculus and Arithmetical Problems. Taylor & Francis, 23(7). https://doi.org/10.1080/09297049.2016.1199665
Flynn, J.R. & Weiss, L.G. (2007). American IQ Gains From 1932 to 2002: The WISC Subtests and Educational Progress. Taylor & Francis, 7(2). https://doi.org/10.1080/15305050701193587
Fritz,A., Haase, V.G., & Rasanen, P. (2019). International Handbook of Mathematical Learning Difficulties. Springer. https://link.springer.com/book/10.1007/978-3-319-97148-3
Gagné, F. (2004). Transforming gifts into talents: The DMGT as a developmental theory. High Ability Studies, 15(2), 119-147. https://doi.org/10.1080/1359813042000314682
Gagné, F. (2013). The DMGT: Changes within, beneath, and beyond. Talent Development & Excellence, 5(1), 5-19.
Gea, M. M., Hernández-Solís, L. A., Batanero, C., & Álvarez-Arroyo, R. (2023). Relating students’ proportional reasoning level and their understanding of fair games. Journal on Mathematics Education, 14(4), 663–682. https://doi.org/10.22342/jme.v14i4.pp663-682
Gersten, R., & Chard, D. (2014). Number sense: Rethinking arithmetic instruction for struggling learners. The Journal of Special Education, 33(1), 18-28. https://doi.org/10.1177/002246699903300102
Greeno, J.G. (1991). Number Sense as Situated Knowing in a Conceptual Domain. The National Council of Teachers of Mathematics, Inc. https://doi.org/10.5951/jresematheduc.22.3.0170
Handa, M.C. (2019). Leading Differentiated Learning for the Gifted. Roeper Review, 41(2), 102-118. https://doi.org/10.1080/02783193.2019.1585213
Hariyani, M., Herman, T., Suryadi, D., & Prabawanto, S. (2022). Exploration of student learning obstacles in solving fraction problems in elementary school. International Journal of Educational Methodology, 8(3), 505-515. https://doi.org/10.12973/ijem.8.3.505
Hayes,T.L., Cahill, N. D. & Kanan, C. (2019). Memory Efficient Experience Replay for Streaming Learning. 2019 International Conference on Robotics and Automation (ICRA), Montreal, QC, Canada, pp. 9769-9776, https://doi.org/10.1109/ICRA.2019.8793982.
Hoof, J.V., Ceulemans,T.D.E., Verschaffel, L., Dooren,W.M., (2018). Towards a mathematically more correct understanding of rational numbers: A longitudinal study with upper elementary school learners. Learning and Individual Differences, 61, 99-108. https://doi.org/10.1016/j.lindif.2017.11.010
Hwang, G.J., Wang, S.Y., & Lai, C.L. (2021). Effects of a social regulation-based online learning framework on students’ learning achievements and behaviors in mathematics. Computers & Education, 160. https://doi.org/10.1016/j.compedu.2020.104031.
Jupri, A. & Drijvers, P. (2016). Student Difficulties in Mathematizing Word Problems in Algebra. Eurasia Journal of Mathematics, Science & Technology Education, 12(9), 2481-2502. https://doi.org/10.12973/eurasia.2016.1299a
Jupri, A., Drijvers, P. & Heuvel-Panhuizen, V.D., (2014). M. Difficulties in initial algebra learning in Indonesia. Mathematics Education Research Journal, 26, 683–710 . https://doi.org/10.1007/s13394-013-0097-0
Karim, K., Budayasa, I., & Siswono, T.Y.E. (2018). High IQ Students Thinking Profile in Making External Mathematical Connections Seen from Gender Difference. Proceeding of the 1st International Conference on Intellectuals’ Global Responsibility (ICIGR 2017). https://doi.org/10.2991/icigr-17.2018.35
Kaur, P., Singh, M., & Josan, G.S. (2015). Classification and Prediction Based Data Mining Algorithms to Predict Slow Learners in Education Sector. Procedia Computer Science, 57, 500-508. https://doi.org/10.1016/j.procs.2015.07.372.
Kaznowski, K. (2004). Slow Learners: Are Educators Leaving Them Behind?. Sage Journals, 88(641), 31-45. https://doi.org/10.1177/019263650408864103
Kementerian Pendidikan dan Kebudayaan. (2013). Kurikulum 2013: Kompetensi dasar sekolah menengah pertama/madrasah tsanawiyah (SMP/MTs). Jakarta: Kementerian Pendidikan dan Kebudayaan.
Kementerian Pendidikan, Kebudayaan, Riset, dan Teknologi. (2022). Kurikulum Merdeka: Pedoman implementasi kurikulum merdeka. Jakarta: Kementerian Pendidikan, Kebudayaan, Riset, dan Teknologi.
Khaira, U. & Herman,T. (2020) . Assessment processes for slow learners in mathematics learning. Journal of Physics: Conference Series, 1521, 032097. https://doi.org/10.1088/1742-6596/1521/3/032097
Lai, Y., Zhu, X., Chen, Y., & Li, Y., (2015). Effects of mathematics anxiety and mathematical metacognition on word problem solving in children with and without mathematical learning difficulties. PLOS ONE, 10(6) e0130570. https://doi.org/10.1371/journal.pone.0130570
Lee, J.E., & Lee, M.Y. (2023). How elementary prospective teachers use three fraction models: their perceptions and difficulties. Journal of Mathematics Teacher Education, 26, 455–480. https://doi.org/10.1007/s10857-022-09537-4
Lee, S. W. Y., Tu, H. Y., Chen, G. L., & Lin, H. M. (2023). Exploring the multifaceted roles of mathematics learning in predicting students' computational thinking competency. International Journal of STEM Education, 10, 64. https://doi.org/10.1186/s40594-023-00455-2
Lortie-Forgues, H., & Siegler, R. S. (2017). Conceptual knowledge of decimal arithmetic. Journal of Educational Psychology, 109(3), 374–386. https://doi.org/10.1037/edu0000148
Lynn, R. & Mikk, J. (2009). National IQs Predict Educational Attainment in Math, Reading and Science Across 56 Nations. Intelligence. https://doi.org/10.1016/j.intell.2009.01.002
Maghfirah, M., & Mahmudi, A. (2019). Analisis Kemampuan Number Sense Siswa SMP. Master’s thesis, Universitas Negeri Yogyakarta. Retrieved from eprints.uny.ac.id
McIntosh, A., & Dole, S. (2000). Number Sense and Mental Computation : Implications for Numeracy. Australian Council for Educational Research (ACER). https://research.acer.edu.au/cgi/viewcontent.cgi?referer=&httpsredir=1&article=1001&context=research_conference_2000#page=42
Mercader,J., Presentación,M.J., Siegenthaler,R., Molinero, V., Miranda, A., (2017). Motivación y rendimiento académico en matemáticas: un estudio longitudinal en las primeras etapas educativas. Revista de Psicodidáctica, 22(2), 157-163. https://doi.org/10.1016/j.psicod.2017.05.007.
Morgan, H. (2013) Maximizing Student Success with Differentiated Learning. The Clearing House: A Journal of Educational Strategies, Issues and Ideas, 87(1), 34-38. https://doi.org/10.1080/00098655.2013.832130
Muchoko, C., Jupri, A., & Prabawanto, S. (2019). Algebraic Visualization Difficulties of Students in Junior High School. Journal of Physics: Conferences Series, 1157, 032108. https://doi.org/10.1088/1742-6596/1157/3/032108
Muslimin, M., Hirza, B., Nery, R., Yuliani, R., Heru, H., Supriadi, A., Desvitasari, T., & Khairani, N. (2022). Peningkatan Hasil Belajar Matematika Siswa Melalui Pembelajaran Berdiferensiasi dalam Mewujudkan Merdeka Belajar. Jurnal Pendidikan Matematika RAFA, 8(2), 22-32. https://doi.org/https://doi.org/10.19109/jpmrafa.v8i2.14770
National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA. Retrieved from: http://standards.nctm.org/document/chapter4/numb.htm.
Novita, S., Kusuma, P. A., Ratnasari, R. D., Khairani, R. N., Rahmayanthi, D., Noer, A. H., & Purba, F. D. (2022). Mathematics Assessment Using Virtual Reality: A Study on Indonesian Elementary School Children. 2022 International Conference on Assessment and Learning (ICAL), Bali, Indonesia, pp. 1-6, https://doi.org/10.1109/ICAL50372.2022.10075577
Nurhastuti, Ahman, Juntika & Susanto, E. (2018). Potential Test Gifted and Talented Children : Study of Elementary School in Indonesia. Journal of Physics: Conferences Series, 1114, 012043. https://doi.org/10.1088/1742-6596/1114/1/012043
Patmawati, H., Turmudi & Prabawanto,S. (2022). Mathematical Thinking Process Based on Student IQ Test Results and Talented Mathematical. Journal of Physics: Conferences Series, 2279, 012011. https://doi.org/10.1088/1742-6596/2279/1/012011
Poh, B. K., Lee, S. T., Yeo, G. S., Tang, K. C., Noor Afifah, A. R., Siti Hanisa, A., ... & SEANUTS Study Group Bee Koon Poh A. Karim Norimah Abd Talib Ruzita Siti Balkis Budin Alvin Lai Oon Ng Mohd Din Siti Haslinda Jyh Eiin Wong Mohd Noor Ismail Jamal Rahman Nor Azmi Kamaruddin Safii Nik Shanita Yit Siew Chin Bee Suan Wee Nor Aini Jamil. (2019). Low socioeconomic status and severe obesity are linked to poor cognitive performance in Malaysian children. BMC Public Health, 19 (Suppl 4), 541. https://doi.org/10.1186/s12889-019-6856-4
Posicelskaya, M.A., Rudchenko, T.A. & Semenov, A.L. (2023). Mathematical Elements of Elementary Education. Dokl. Math. 107(Suppl 1), S10–S41. https://doi.org/10.1134/S1064562423700576
Pulungan, R.O.T. & Suryadi, D. (2019). From Integer to Real Numbers : Students’ Obstacles in Understanding the Decimal Numbers. Journal of Physics: Conferences Series, 1157, 042086. https://doi.org/10.1088/1742-6596/1157/4/042086
Ren, K., & Gunderson, E.A. (2021). The dynamic nature of children’s strategy use after receiving accuracy feedback in decimal comparisons. Journal of Experimental Child Psychology, 202. https://doi.org/10.1016/j.jecp.2020.105015
Renzulli, J.S. (1978). What Makes Giftedness? Reexamining a Definition. Phi Delta Kappan, 60(3), 180-84. https://eric.ed.gov/?id=EJ190430
Roording-Ragetlie, S., Tabach, M., Bakker, A., & van der Schaaf, M. (2021). How to foster students’ number sense? A review of instructional approaches and the role of digital tools. Educational Studies in Mathematics, 107(2), 271-295. https://doi.org/10.1007/s10649-020-10027-2
Sadieda, L.U.,Wahyudi, B., Kirana, R.D., Kamaliyah,S., Arsyavina,V. (2022). Implementasi Model Blended Learning Pada Pembelajaran Matematika Berbasis Kurikulum Merdeka. Jurnal Review Pembelajaran Matematika, 7(1), 55-72. https://doi.org/10.15642/jrpm.2022.7.1.55-72
Santrock, J. W. (2019). Educational Psychology (6th ed.). McGraw-Hill Education.
Setyawan, F., Andriyani, Handayani, T.K., Ratih, K., Sutopo, A., Rusli, T.I., & Alfiany, N.R. (2021). Rigorous Thinking in Mathematics Modelling for Slow Learners. Journal of Physics: Conferences Series, 1720, 012005. https://doi.org/10.1088/1742-6596/1720/1/012005
Siegler, R. S., Fazio, L., Bailey, D. H., & Zhou, X. (2014). Relations of different types of numerical magnitude representations to mathematics achievement. Child Development Perspectives, 8(3), 144-150. https://doi.org/10.1111/cdep.12073
Sintawati, M., Sukma, H.H., & Marini, A. (2022) Mathematics Pedagogical knowledge for slow learners teaching. Journal of Physics: Conferences Series, 2577, 020061. https://doi.org/10.1063/5.0101283
Siregar, R.N., Suryadi, D., Prabawanto, S., & Mujib, A. (2023). Students’ mathematics self efficacy in learning social arithmetic topic. International Journal of Evaluation and Research in Education (IJERE), 12(4). https://doi.org/10.11591/ijere.v12i4.25480
Slavin, R. E. (2021). Educational Psychology: Theory and Practice (12th ed.). Pearson.
Sood, S., & Jitendra, A. K. (2007). A Comparative Analysis of Number Sense Instruction in Reform-Based and Traditional Mathematics Textbooks. The Journal of Special Education, 41(3), 145-157. https://doi.org/10.1177/00224669070410030101
Sovia, A. & Herman, T. (2020). Gesture of slow learners student in mathematical Communication. Journal of Physics: Conferences Series, 1464, 012046. https://doi.org/10.1088/1742-6596/1464/1/012046
Sudihartinih, E. & Wahyudin. (2019). Relationship Between Intelligence Quotient, Gender, Learning Outcomes and Geometry Thinking Levels. Proceeding of International Conference on Mathematics and Sciences Education 2019. https://doi.org/10.1088/1742-6596/1521/3/032031
Südkamp, A., Kaiser, J., & Möller, J. (2012). Accuracy of teachers’ judgments of students’ academic achievement: A meta-analysis. Journal of Educational Psychology, 104(3), 743–762. https://doi.org/10.1037/a0027627
Sugiman., & Murdiyani, N. M. (2019). The identification of students’ didactic obstacles in learning fractions based on the form of the problems. Journal of Physics: Conference Series 1320(1), 012060. https://doi.org/10.1088/1742-6596/1320/1/012060
Suryadi, R., Ikhsan, M., & Yuliana, E. (2023). Challenges in conceptualizing fractions among students: A study in Indonesian primary schools. European Journal of Educational Research, 12(1), 375-388. https://doi.org/10.12973/eu-jer.12.1.375
Torbeyns, J., Schneider, M., & van Dooren, W. (2022). The interplay of mathematical mindset and students’ performance: A longitudinal study. International Journal of STEM Education, 9(1), 1-14. https://doi.org/10.1186/s40594-022-00326-8
Trivena, V., Ningsih, A.R., & Jupri, A. (2017). Misconception on Addition and Substraction of Fraction at Primary School Students in Fifth-Grade. Journal of Physics: Conference Series, 895, 012139. https://doi.org/10.1088/1742-6596/895/1/012139
Vos, T., Allen, C., Arora, M., Zeeb, H., Zuhlke, L.J. (2016). Global, Regional, and National Incidence, Prevalence, and Years lived with Disability for 310 diseases and injuries, 1990-2015 : A systematic analysis for the Global Burden of Disease Study 2015. The Lancet, 388(10053), 1545-1602. https://www.thelancet.com/journals/lancet/article/PIIS0140-6736(16)31678-6/fulltext
Wechsler, D. (1939). The nature of intelligence. In D. Wechsler, The measurement of adult intelligence (pp. 3–12). Williams & Wilkins Co. https://doi.org/10.1037/10020-001
Widjaja, W., Stacey, K., & Steinle, V. (2008). Misconceptions about density of decimals : insights from Indonesian pre-service teachers’ work. Journal for science and mathematics education in Southeast Asia, 31(2), 117-131. http://hdl.handle.net/10536/DRO/DU:30048398
Wilson, A.J., Dehaene, S., Dubois, O., & Fayol, M. (2009). Effects of an Adaptive Game Intervention in Accessing Number Sense in Low-Socioeconomic-Status Kindergarten Children. Wiley Online Library, 3(4). https://doi.org/10.1111/j.1751-228X.2009.01075.x
Yang, D.-C. (2005). Number sense strategies used by 6th‐grade students in Taiwan. Educational Studies, 31(3), 317–333. https://doi.org/10.1080/03055690500236845