Research trends on early algebra in the middle school: A combined bibliometric and meta-analysis review

Authors

  • Dilham Fardian Department of Mathematics Education, Universitas Pendidikan Indonesia and Indonesian Didactical Design Research Development Center (PUSBANGDDRINDO), Universitas Pendidikan Indonesia
  • Didi Suryadi Department of Mathematics Education, Universitas Pendidikan Indonesia and Indonesian Didactical Design Research Development Center (PUSBANGDDRINDO), Universitas Pendidikan Indonesia https://orcid.org/0009-0002-3724-1740
  • Sufyani Prabawanto Department of Mathematics Education, Universitas Pendidikan Indonesia and Indonesian Didactical Design Research Development Center (PUSBANGDDRINDO), Universitas Pendidikan Indonesia https://orcid.org/0000-0003-2872-6535
  • Silfia Hayuningrat Universitas Pendidikan Indonesia

DOI:

https://doi.org/10.29408/jel.v10i2.25539

Keywords:

comprehensive meta analysis, bibliometric analysis, early algebra, meta analysis, middle school, Rstudio, VOSviewer

Abstract

The aims of this study is to analyze publications on early algebra in middle schools to contribute to the development of related literature. A total of 234 articles on early algebra published in various Scopus databases between 2013 and 2024 were retrieved and analyzed through a bibliometric analysis approach and 19 articles through a Comprehensive Meta Analysis (CMA). The results showed fluctuating trends in research related to early algebra in middle schools. The surge in publications using VOSviewer and RStudio from 2013 to 2024 did not align with a corresponding increase in average citations, contributing to a stagnation in the average citation per year. The noticeable upward trend in the volume of publications on early algebra since the beginning of 2013 indicates a dynamic and evolving research landscape in this field. This consistency suggests a widespread and sustained interest in early algebra research beyond the confines of a single country, further emphasizing its global relevance and significance. Integrating multimedia technology into early algebra instruction significantly enhances student learning outcomes. Moreover, access to technology and enhanced learning resources through technology integration can play a more crucial role in improving the effectiveness of early algebra learning in countries with lower income levels.

References

Adamuz-Povedano, N., Fernández-Ahumada, E., Teresa García-Pérez, M., & Montejo-Gámez, J. (2021). Developing number sense: An approach to initiate algebraic thinking in primary education. Mathematics, 9(5), 1–25. https://doi.org/10.3390/math9050518

Afonso, D., & Mc Auliffe, S. (2019). Children’s Capacity for Algebraic Thinking in the Early Grades. African Journal of Research in Mathematics, Science and Technology Education, 23(2), 219–232. https://doi.org/10.1080/18117295.2019.1661661

Ali, Ö. (2018). Bibliometric analysis of the studies in the field of mathematics education. Educational Research and Reviews, 13(22), 723–734. https://doi.org/10.5897/err2018.3603

Alsaeed, M. S. (2017). Using the internet in teaching algebra to middle school students: A study of teacher perspectives and attitudes. Contemporary Issues in Education Research (CIER), 10(2), 121-136.

Anderson, J. R. (2000). Learning and memory: An integrated approach. John Wiley & Sons Inc.

Apawu, J., Owusu-Ansah, N. A., & Akayuure, P. (2018). A study on the algebraic working processes of senior high school students in Ghana. European Journal of Science and Mathematics Education, 6(2), 62-68.

Apsari, R. A., Sripatmi, S., Maulyda, M. A., & Salsabila, N. H. (2020). Pembelajaran matematika dengan media obrolan kelompok multi-arah sebagai alternatif kelas jarak jauh [Math learning with multi-directional group chat media as an alternative to remote classrooms]. Jurnal Elemen, 6(2), 318-332.

Baas, J., Schotten, M., Plume, A., Côté, G., & Karimi, R. (2020). Scopus as a curated, high-quality bibliometric data source for academic research in quantitative science studies. Quantitative Science Studies, 1(1), 377–386. https://doi.org/10.1162/qss_a_00019

Banerjee, R. (2011). Is arithmetic useful for the teaching and learning of algebra? Contemporary Education Dialogue, 8(2), 137–159. https://doi.org/10.1177/097318491100800202

Bingham, N. H., & Krzanowski, W. J. (2022). Linear algebra and multivariate analysis in statistics: development and interconnections in the twentieth century. British Journal for the History of Mathematics, 37(1), 43-63. https://doi.org/10.1080/26375451.2022.2045811

Blanton, M. L., & Kaput, J. J. (2011). Functional thinking as a route into algebra in the elementary grades. In Early algebraization: A global dialogue from multiple perspectives (pp. 5-23). Springer Berlin Heidelberg. https://doi.org/ 10.1007/BF02655895.

Booth, J. L., McGinn, K. M., Barbieri, C., & Young, L. K. (2017). Misconceptions and learning algebra, and the rest is just algebra, 63-78.

Booth, L. R. (1988). Children’s difficulties in beginning algebra. In A.F. Coxford (Ed.), The ideas of algebra, K–12(1988 Yearbook) (pp. 20–32). National Council of Teachers of Mathematics

Cai, J., Ding, M., & Wang, T. (2014). How do exemplary Chinese and U.S. mathematics teachers view instructional coherence? Educational Studies in Mathematics, 85(2), 265–280. https://doi.org/10.1007/s10649-013-9513-3

Cai, J., Lew, H. C., Morris, A., Moyer, J. C., Fong Ng, S., & Schmittau, J. (2005). The development of studients' algebraic thinking in earlier grades: A cross-cultural comparative perspective. Zentralblatt für Didaktik der Mathematik, 37, 5-15.

Cañadas, M. C., Brizuela, B. M., & Blanton, M. (2016). Second graders articulating ideas about linear functional relationships. Journal of Mathematical Behavior, 41, 87–103. https://doi.org/10.1016/j.jmathb.2015.10.004

Carraher, D. W., Martinez, M. V, & Schliemann, A. D. (2008). Early algebra and mathematical generalization. ZDM - International Journal on Mathematics Education, 40(1), 3–22. https://doi.org/10.1007/s11858-007-0067-7

Carraher, D. W., & Schliemann, A. D. (2019). Early algebraic thinking and the US mathematics standards for grades K to 5. Infancia y Aprendizaje, 42(3), 479–522. https://doi.org/10.1080/02103702.2019.1638570

Carraher, D. W., Schliemann, A. D., Brizuela, B. M., & Earnest, D. (2006). Arithmetic and algebra in early mathematics education. Journal for Research in Mathematics Education, 37(2), 87–115. https://doi.org/10.2307/30034843.

Cheng, B., Ioannou, I., & Serafeim, G. (2014). Corporate social responsibility and access to finance. Strategic Management Journal, 35(1), 1–23. https://doi.org/10.1002/smj.2131

Chimoni, M., & Pitta-Pantazi, D. (2017). Parsing the notion of algebraic thinking within a cognitive perspective. Educational Psychology, 37(10), 1186-1205.

Corrochano, E. B., & Sobczyk, G. (2001). Geometric algebra with applications in science and engineering. Springer Science & Business Media.

Cusi, A., & Malara, N. A. (2015). Which algebraic learning can a teacher promote when her teaching does not focus on interpretative processes?. In Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education (pp. 405-411).

Dasari, D., Muhammad, I, & Juandi, D. (2024). Crafting math minds: Abibliometric odyssey into innovative didactical designs for learning (2006-2023). Jurnal Elemen, 10(1), 181-198.

Day, M. C. (1981). Thinking at Piaget's Stage of Formal Operations. Educational Leadership, 39(1), 44-45.

De Oliveira, O. J., da Silva, F. F., Juliani, F., Barbosa, L. C. F. M., & Nunhes, T. V. (2019). Bibliometric method for mapping the state-of-the-art and identifying research gaps and trends in literature: An essential instrument to support the development of scientific projects. In Scientometrics recent advances. IntechOpen. https://doi.org/10.5772/intechopen.85856

Dhlamini, Z. B. (2023). The structural and operational complementarity: Grade nine learners’ pitfalls and gains of simplifying algebraic expressions. EURASIA Journal of Mathematics, Science and Technology Education, 19(10), em2344. https://doi.org/10.29333/ejmste/13653

Donthu, N., Kumar, S., Mukherjee, D., Pandey, N., & Lim, W. M. (2021). How to conduct a bibliometric analysis: An overview and guidelines. Journal of business research, 133, 285-296. https://doi.org/10.1016/j.jbusres.2021.04.070.

Drijvers, P. H. M. (2003). Learning algebra in a computer algebra environment: Design research on the understanding of the concept of parameter [Unpublished Dissertation]. Utrecht: CD-B Press

Dunne, E., & Hulek, K. (2020). Mathematics subject classification 2020. Not. Am. Math. Soc, 67(3), 410-411.

Durmaz, B. (2023). The use of literary elements in teaching mathematics: A bibliometric analysis. Journal of Teacher Education and Lifelong Learning, 5(1), 152–172. https://doi.org/10.51535/tell.1232736

Dutta, M., & Sataloff, R. T. (2019). The importance of scholarly reviews in medical literature. Ear, Nose and Throat Journal, 98(5), 251–252. https://doi.org/10.1177/0145561319827725

Eck, N. J. V., & Waltman, L. (2009). How to normalize cooccurrence data? An analysis of some well‐known similarity measures. Journal of the American society for information science and technology, 60(8), 1635-1651. https://doi.org/10.1002/asi.21075

Engel, L. C., Banks, D., Patterson, J., & Stehle, S. (2015). Research related to the International Baccalaureate.

Esteve, J., Brunet, P., & Vinacua, A. (2008). Piecewise algebraic surface computation and smoothing from a discrete model. Computer Aided Geometric Design, 25(6), 357–372. https://doi.org/10.1016/j.cagd.2007.09.005

Febriandi, R., Herman, T., Turmudi, T., Farokhah, L., Abidin, Z., Alman, A., & Supriyadi, E. (2023). Research on algebraic thinking in elementary school is reduced: A bibliometric analysis. Journal of Engineering Science and Technology, 18(3), 97–104.

Feferman, R., Levin, S., Blatman, D., Javinsky, S., Greene, R., Ring, D., & Blatt, W. (2002). as defined 6^ the boundaries they existed 1867-1917.

Fellnhofer, K. (2019). Toward a taxonomy of entrepreneurship education research literature: A bibliometric mapping and visualization. Educational Research Review, 27(January), 28–55. https://doi.org/10.1016/j.edurev.2018.10.002

Fonger, Nicole, L., Stephens, A., Blanton, M., & Knuth, E. (2015). A learning progressions approach to. Proceedings of the 37th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, July 2015, 201–204.

Gabbay, M. J., & Mulligan, D. P. (2009, August). Universal algebra over lambda-terms and nominal terms: the connection in logic between nominal techniques and higher-order variables. In Proceedings of the Fourth International Workshop on Logical Frameworks and Meta-Languages: Theory and Practice (pp. 64-73). https://doi.org/10.1145/1577824.1577835

Ganzha, V. G., Mayr, E. W., & Vorozhtsov, E. V. (Eds.). (2012). Computer algebra in scientific computing CASC 2001. Proceedings of the Fourth International Workshop on Computer Algebra in Scientific Computing, Konstanz, Sept. 22-26, 2001. Springer Science & Business Media.

Gökçe, S., & Guner, P. (2021). Forty years of mathematics education: 1980-2019. International Journal of Education in Mathematics. https://doi.org/10.46328/ijemst.1361

Gökçe, S., & Güner, P. (2022). Dynamics of GeoGebra ecosystem in mathematics education. Education and Information Technologies, 27(4), 5301–5323. https://doi.org/10.1007/s10639-021-10836-1

Gonzales, P., Williams, T., Jocelyn, L., Roey, S., Kastberg, D., & Brenwald, S. (2008). Highlights from TIMSS 2007: Mathematics and science achievement of U.S. fourth-and eighth-grade students in an international context (NCES 2009–001 Revised). National Center for Education Statistics, Institute of Education Sciences, US Department of Education.

Hallinger, P., & Chatpinyakoop, C. (2019). A bibliometric review of research on higher education for sustainable development, 1998-2018. Sustainability (Switzerland), 11(8). https://doi.org/10.3390/su11082401

Hernandez-Martinez, P., Williams, J., Black, L., Davis, P., Pampaka, M., & Wake, G. (2011). Students’ views on their transition from school to college mathematics: Rethinking “transition” as an issue of identity. Research in Mathematics Education, 13(2), 119–130. https://doi.org/10.1080/14794802.2011.585824

Herscovics, N., & Linchevski, L. (1994). A cognitive gap between arithmetic and algebra. Educational Studies in Mathematics, 27(1), 59–78.

Jiang, Y., Ritchie, B. W., & Benckendorff, P. (2019). Bibliometric visualisation: an application in tourism crisis and disaster management research. Current Issues in Tourism, 22(16), 1925–1957. https://doi.org/10.1080/13683500.2017.1408574

Jones, A., Morris, S. A., & Pearson, K. R. (2012). Abstract algebra and famous impossibilities. Springer Science & Business Media.

Julius, R., Halim, M. S. A., Hadi, N. A., Alias, A. N., Khalid, M. H. M., Mahfodz, Z., & Ramli, F. F. (2021). Bibliometric analysis of research in mathematics education using Scopus database. Eurasia Journal of Mathematics, Science and Technology Education, 17(12). https://doi.org/10.29333/EJMSTE/11329

Jupri, A., Drijvers, P., & van den Heuvel-Panhuizen, M. (2014). Difficulties in initial algebra learning in Indonesia. Mathematics Education Research Journal, 26(4), 683–710. https://doi.org/10.1007/s13394-013-0097-0

Jupri, A., Drijvers, P., & van den Heuvel-Panhuizen, M. (2015). Improving grade 7 students’ achievement in initial algebra through a technology-based intervention. Digital Experiences in Mathematics Education, 1, 28-58.

Jupri, A., & Sispiyati, R. (2020). Students’ algebraic proficiency from the perspective of symbol sense. Indonesian Journal of Science and Technology, 5(1), 86–94. https://doi.org/10.17509/ijost.v5i1.23102

Kähler, O. (2010). Combining peer review and metrics to assess journals for inclusion in Scopus. Learned Publishing, 23(4), 336–346. https://doi.org/10.1087/20100411

Kaput, J. J. (2000). Transforming algebra from an engine of inequity to an engine of mathematical power by" algebrafying" the K-12 curriculum. US Department of Education, Office of Educational Research and Improvement, Educational Resources Information Center.

Kaput, J. J., & Schorr, R. (2008). Changing representational infrastructures changes most everything: The case of simcalc, algebra and calculus. Research on Technology and the Teaching and Learning of Mathematics: Cases and Perspectives, 2, 1–46. http://www.kaputcenter.umassd.edu/downloads/simcalc/cc1/library/changinginfrastruct.pdf

Karampelas, K. (2023). Examining the relationship between TPACK and STEAM through a bibliometric study. European Journal of Science and Mathematics Education, 11(3), 488–498. https://doi.org/10.30935/scimath/12981

Ketterlin-Geller, L. R., Shivraj, P., Basaraba, D., & Schielack, J. (2019). Universal screening for algebra readiness in middle school: Why, what, and does it work? Investigations in Mathematics Learning, 11(2), 120–133. https://doi.org/10.1080/19477503.2017.1401033

Khafizova, A. A., Zhdanov, S. P., Beltyukova, O. V., Lapidus, N. I., Grebenshchikova, L. Y., & Lushchik, I. V. (2024). A bibliometric analysis covering the relevant literature on science anxiety over two decades. Eurasia Journal of Mathematics, Science and Technology Education, 20(3), em2411. https://doi.org/10.29333/ejmste/14283

Khodabandelou, R., Aleebrahim, N., Amoozegar, A., & Mehran, G. (2019). Revisiting three decades of educational research in Iran: A bibliometric analysis. Iranian Journal of Comparative Education, 2(1), 1–21. https://doi.org/10.22034/ijce.2019.187779.1002

Kieran, C., Pang, J. S., Schifter, D., & Ng, S. F. (2016). Early algebra: Research into its nature, its learning, its teaching. library.oapen.org. https://library.oapen.org/bitstream/handle/20.500.12657/27822/1002183.pdf

Kılıç, H. (2014). The impetus for teaching algebra in the early grades. Edu 7: Yeditepe Üniversitesi Eğitim Fakültesi Dergisi, 3(5), 48-71.

Kim, J., Kim, J., DesJardins, S. L., & McCall, B. P. (2015). Completing algebra II in high school: Does it increase college access and success?. The Journal of Higher Education, 86(4), 628-662. https://doi.org/10.1080/00221546.2015.11777377.

Knuth, E., Stephens, A., Blanton, M., & Gardiner, A. (2016). Build an early foundation for algebra success. Phi Delta Kappan, 97(6), 65–68. https://doi.org/10.1177/0031721716636877

Kolko, B. E. (2002). International it implementation projects: Policy and cultural considerations. In Proceedings. IEEE International Professional Communication Conference (pp. 352-359). IEEE.

Lange, K. E., Booth, J. L., & Newton, K. J. (2014). Learning algebra from worked examples. The Mathematics Teacher, 107(7), 534-540. https://doi.org/10.5951/mathteacher.107.7.0534

Lazarides, M. K., Lazaridou, I.-Z., & Papanas, N. (2023). Bibliometric analysis: Bridging informatics with science. The International Journal of Lower Extremity Wounds, 153473462311535. https://doi.org/10.1177/15347346231153538

Lee, K., Ng, S. F., & Bull, R. (2018). Learning and solving algebra word problems: The roles of relational skills, arithmetic, and executive functioning. Developmental psychology, 54(9), 1758. https://doi.org/10.1037/dev0000561.

Lee, O. J., Ju, H. W., Khang, G., Sun, P. P., & ... (2016). An experimental burn wound‐healing study of non‐thermal atmospheric pressure microplasma jet arrays. Journal of Tissue …. https://doi.org/10.1002/term.2074

Lins, R., & Kaput, J. (2004). The early development of algebraic reasoning: The current state of the field. The Future of the Teaching and Learning of Algebra The 12 th ICMI Study, 45-70.

MacDonald, A., Davies, N., Dockett, S., & Perry, B. (2012). Early childhood mathematics education. In Research in mathematics education in Australasia 2008-2011 (pp. 167-192). Brill.

MacGregor, M., & Stacey, K. (1995). The effect of different approaches to algebra on students’ perceptions of functional relationships. Mathematics Education Research Journal, 7(1), 69-85. https://doi.org/10.1007/BF03217276

Maggio, L. A., Ninkov, A., Frank, J. R., Costello, J. A., & Artino, A. R. (2022). Delineating the field of medical education: Bibliometric research approach(es). Medical Education, 56(4), 387–394. https://doi.org/10.1111/medu.14677

Maharana, R. K., & Sethi, B. B. (2013). A bibliometric analysis of the research output of Sambalpur university’s publication in ISI web of science during 2007-11. Library Philosophy and Practice, 2013(April), 1–14.

Malihatuddarojah, D., & Prahmana, R. C. I. (2019). Analisis kesalahan siswa dalam menyelesaikan permasalahan operasi bentuk aljabar [Analysis of student errors in solving algebraic form operation problems]. Jurnal Pendidikan Matematika, 13(1), 1–8. https://doi.org/10.22342/jpm.13.1.6668.1-8

Malisani, E., & Spagnolo, F. (2009). From arithmetical thought to algebraic thought: The role of the “variable.” Educational Studies in Mathematics, 71(1), 19–41. https://doi.org/10.1007/s10649-008-9157-x

Miguel, S., Chinchilla‐Rodriguez, Z., & de Moya‐Anegón, F. (2011). Open access and Scopus: A new approach to scientific visibility from the standpoint of access. Journal of the American society for information science and technology, 62(6), 1130-1145. https://doi.org/10.1002/asi.21532

Moorhead, G. (1981). Organizational analysis: An integration of the macro and micro approaches. Journal of Management Studies, 18(2), 191-218. https://doi.org/10.1111/j.1467-6486.1981.tb00099.x

Mukhni, M., Mirna, M., & Khairani, K. (2021). Teachers’ perspective of algebra learning in junior high school. Journal of Physics: Conference Series, 1742(1), 012015. https://doi.org/10.1088/1742-6596/1742/1/012015

Mumford, R. A., Pierzchala, P. A., Strauss, A. W., & Zimmerman, M. (1981). Purification of a membrane-bound metalloendopeptidase from porcine kidney that degrades peptide hormones. Proceedings of the National Academy of Sciences of the United States of America, 78(11 II), 6623–6627. https://doi.org/10.1073/pnas.78.11.6623

Nandiyanto, A. B. D., Al Husaeni, D. N., & Al Husaeni, D. F. (2021). A bibliometric analysis of chemical engineering research using vosviewer and its correlation with Covid-19 pandemic condition. Journal of Engineering Science and Technology, 16(6), 4414–4422.

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.

Noto, M. S., Pramuditya, S. A., & Handayani, V. D. (2020). Exploration of learning obstacle based on mathematical understanding of algebra in junior high school. EduMa: Mathematics education learning and teaching‏‏‎, 9(1), 14-20.

Novotná, J., & Hošpesová, A. (2014). Traditional versus investigative approaches to teaching algebra at the lower secondary level: The case of equations. In Algebra teaching around the world (pp. 59-79). Brill.

Nurmawanti, I., & Sulandra, I. M. (2020). Exploring of student’s algebraic thinking process through pattern generalization using similarity or proximity perception. Mosharafa: Jurnal Pendidikan Matematika, 9(2), 191–202. https://doi.org/10.31980/mosharafa.v9i2.603

Origgi, G., & Ramello, G. B. (2015). Current dynamics of scholarly publishing. Evaluation Review, 39(1), 3–18. https://doi.org/10.1177/0193841X15572017

Panorkou, N. (2020). Reasoning dynamically about the area of a rectangle: The case of Lora and Isaac. Digital Experiences in Mathematics Education, 6(3), 257-292. https://doi.org/10.1007/s40751-020-00074-4

Piaget, J. (1970). Piaget's theory (Vol. 1, pp. 703-732). Wiley.

Pilet, J., Chenevotot, F., Grugeon, B., El Kechai, N., & Delozanne, E. (2013). Bridging diagnosis and learning of elementary algebra using technologies. In The Eighth Congress of the European society for Research in Mathematics Education CERME8 (pp. 2684-2693).

Pincheira, N., & Alsina, Á. (2021). Teachers’ mathematics knowledge for teaching early algebra: A systematic review from the mkt perspective. Mathematics, 9(20), 1-16. https://doi.org/10.3390/math9202590

Pinto, E., & Cañadas, M. C. (2021). Generalizations of third and fifth graders within a functional approach to early algebra. Mathematics Education Research Journal, 33(1), 113–134. doi: https://doi.org/10.1007/s13394-019 00300-2

Pramesti, T. I., & Retnawati, H. (2019). Difficulties in learning algebra: An analysis of students’ errors. In A. A.M., W. A., & V. J.A. (Eds.), Journal of Physics: Conference Series,. 1320(1), 012061. https://doi.org/10.1088/1742-6596/1320/1/012061

Prendergast, M., & O’Donoghue, J. (2010). Developing and maintaining interest in school algebra. Literacy Information and Computer Education Journal, 1(4) 245, 253.

Radford, L. (2008). Theories in mathematics education: A brief inquiry into their conceptual differences. ICMI Survey Team 7. The Notion and Role of Theory in Mathematics Education Research, Juni, 1–17. http://pthurston.laurentian.ca/NR/rdonlyres/77731A60-1A3E-4168-9D3E-F65ADBF37BAD/0/radfordicmist7.pdf

Radford, L. (2018). The emergence of symbolic algebraic thinking in primary school. 3–25. https://doi.org/10.1007/978-3-319-68351-5_1

Ralston, N. C., Li, M., & Taylor, C. (2018). The development and initial validation of an assessment of algebraic thinking for students in the elementary grades. Educational Assessment, 23(3), 211-227. https://doi.org/10.1080/10627197.2018.1483191

Reeves, P. M., Pun, W. H., & Chung, K. S. (2017). Influence of teacher collaboration on job satisfaction and student achievement. Teaching and Teacher Education. https://www.sciencedirect.com/science/article/pii/S0742051X17310053.https://doi.org/10.1016/j.tate.2017.06.016

Reyes, J. D., Insorio, A. O., Ingreso, M. L. V, Hilario, F. F., & Gutierrez, C. R. (2019). Conception and application of contextualization in mathematics education. International Journal of Education Studies in Mathematics, 6(1), 1–18.

Rhine, S., Harrington, R., & Olszewski, B. (2015). The role of technology in increasing preservice teachers’ anticipation of students’ thinking in algebra. Contemporary Issues in Technology and Teacher Education, 15(2), 85-105.

Ross, A., & Willson, V. (2012). The effects of representations, constructivist approaches, and engagement on middle school students' algebraic procedure and conceptual understanding. School Science and Mathematics, 112(2), 117-128. https://doi.org/10.1111/j.1949-8594.2011.00125.x

Roy, S. B., & Basak, M. (2013). Journal of Documentation: A bibliometric study. Library Philosophy and Practice (e-Journal). Paper, 945.

Saputro, B. A., Suryadi, D., Rosjanuardi, R., & Kartasasmita, B. G. (2018). Analysis of students’ errors in responding to TIMSS domain algebra problem. Journal of Physics: Conference Series, 1088(1), 012031). https://doi.org/10.1088/1742-6596/1088/1/012031

Schifter, D. (2017). Early algebra as analysis of structure: A focus on operations. In Teaching and learning algebraic thinking with 5-to 12-year-olds: The global evolution of an emerging field of research and practice (pp. 309-327). Cham: Springer International Publishing. https://doi.org/10.1007/978-3-319-68351-5_13

Schifter, D., Russell, S. J., & Bastable, V. (2009). Early algebra to reach the range of learners. Teaching Children Mathematics, 16(4), 230-237. https://doi.org/10.5951/TCM.16.4.0230

Shayer, M., Küchemann, D. E., & Wylam, H. (1976). The distribution of Piagetian stages of thinking in British middle and secondary school children. British Journal of Educational Psychology, 46(2), 164-173.

Slowe, S. (2018). The role of the institution in scholarly publishing. Emerging Topics in Life Sciences, 2(6), 751–754. https://doi.org/10.1042/ETLS20180141

Snipes, J., & Finkelstein, N. (2014). Opening a Gateway to College Access: Algebra at the Right Time. Research Brief. Regional Educational Laboratory West, 1–10. http://eric.ed.gov/?id=ED559739

Statistics, E. (2015). Digest of education statistics. NCES Publication, 11.

Stephens, M., & Ribeiro, A. (2012). Working towards algebra: The importance of relational thinking. Revista latinoamericana de investigación en matemática educativa, 15(3), 373-402.

Sibgatullin, I. R., Korzhuev, A. V., Khairullina, E. R., Sadykova, A. R., Baturina, R. V., & Chauzova, V. (2022). A systematic review on algebraic thinking in education. Eurasia Journal of Mathematics, Science and Technology Education, 18(1), em2065. https://doi.org/10.29333/ejmste/11486

Sidik, G. S., Suryadi, D., & Turmudi, T. (2021). Learning obstacle on addition and subtraction of primary school students: Analysis of algebraic thinking. Education Research International, 2021, 1-10.

Stern, E. (2005). Knowledge restructuring as a powerful mechanism of cognitive development: How to lay an early foundation for conceptual understanding in formal domains. In BJEP Monograph Series II, Number 3-Pedagogy-Teaching for Learning (Vol. 155, No. 170, pp. 155-170). British Psychological Society.

Stout, R., & College, G. (1871). The development of algebraic structures during the nineteenth century. 153–158.

Suparman, S., Juandi, D., & Tamur, M. (2021). Does problem-based learning enhance students’ higher order thinking skills in mathematics learning? A systematic review and meta-analysis. ACM International Conference Proceeding Series, April, 44–51. https://doi.org/10.1145/3451400.3451408

Tabak, J. (2004). Algebra: Sets, symbols, and the language of thought (history of mathematics). In United States of America–USA: Library of Congress.

Tall, D., & Thomas, M. (1991). Encouraging versatile thinking in algebra using the computer. Educational Studies in Mathematics, 22(2), 125–147. https://doi.org/10.1007/BF00555720

Thomas, M., & Tall, D. (1988). Longer-term conceptual benefits from using a computer in algebra teaching. Proceedings of the 12th Conference of PME, Budapest, 601–608.

Tuominen, J., Andersson, C., Boistrup, L. B. & Eriksson., I. (2018). Relate before calculate: students’ ways of experiencing relationships between quantities. Didactica Matematicae, 40, 5-33.

Usman, A. I. (2015). Secondary school pre-service mathematics teachers' content knowledge of algebraic word problem in Nigeria. European Journal of science and mathematics education, 3(4), 350-363.

Van Amerom, B. A. (2002). 5 Reinvention of early algebra. 2 Jumping ahead 9, 47.

Van Amerom, B. A. (2003). Focusing on informal strategies when linking arithmetic to early algebra. Educational Studies in Mathematics, 54(1), 63–75. https://doi.org/10.1023/B:EDUC.0000005237.72281.bf

Van Raan, A. F., Visser, M. S., Van Leeuwen, T. N., & Van Wijk, E. (2003). Bibliometric analysis of psychotherapy research: Performance assessment and position in the journal landscape. Psychotherapy Research, 13(4), 511-528. https://doi.org/10.1093/ptr/kpg038

Veith, J. M., Beste, M. L., Kindervater, M., Krause, M., Straulino, M., Greinert, F., & Bitzenbauer, P. (2023). Mathematics education research on algebra over the last two decades: quo vadis? Frontiers in Education, 8. https://doi.org/10.3389/feduc.2023.1211920

Vergel, R. (2015).

Generalización de patrones y formas de pensamiento algebraico temprano

. PNA. Revista de Investigación En Didáctica de La Matemática, 9(3), 193–215. https://doi.org/10.30827/pna.v9i3.6220

Wahyuni, R., Herman, T., & Fatimah, S. (2022). Students’ interpretation of the algebraic letters: The Case of the early year in middle school. AIP Conference Proceedings, 2468(December). https://doi.org/10.1063/5.0102659

Wahyuni, R., Prabawanto, S., & Herman, T. (2020). Students’ difficulties in solving algebra task in middle school. Journal of Physics: Conference Series, 1521(3), 032071. https://doi.org/10.1088/1742-6596/1521/3/032071

Waltman, L., van Eck, N. J., & Noyons, E. C. M. (2010). A unified approach to mapping and clustering of bibliometric networks. Journal of Informetrics, 4(4), 629–635. https://doi.org/10.1016/j.joi.2010.07.002

Warren, E. (2003). The role of arithmetic structure in the transition from arithmetic to algebra. Mathematics Education Research Journal, 15(2), 122–137

Warren, E. (2004). Generalising Arithmetic : Supporting the Process in the Early Years. Psychology, 4, 417–424. https://doi.org/10.1093/ptr/kpg038

Watanabe, T. (2011). Shiki: A critical foundation for school algebra in Japanese elementary school mathematics. In Early algebraization (pp. 109–124). Springer. https://doi.org/10.1007/978-3-642-17735-4_7

Weinert, F. E., & De Corte, E. (2001). Educational research for educational practice. In International encyclopedia of the social and behavioral sciences (pp. 4316-4323). Elsevier.

Welder, R. M. (2012). Improving algebra preparation: Implications from research on student misconceptions and difficulties. School science and mathematics, 112(4), 255-264. https://doi.org/10.1111/j.1949-8594.2012.00136.x

Wilder, S. (2013). Algebra: The Key to Student Success, Or Just Another Hurdle?

Wulach, J. S. (1977). Piagetian cognitive development and primary process thinking in children. Journal of personality assessment, 41(3), 230-237.

Zan, B. U. (2019). Doğrudan atıf, ortak atıf ve bibliyografik eşleşme yaklaşımlarına dayalı olarak araştırma alanlarının değerlendirilmesi. Sosyal Bilimler Araştırmaları Dergisi, 14(2), 501–516.

Zupic, I., & Čater, T. (2015). Bibliometric methods in management and organization. Organizational Research Methods, 18(3), 429–472. https://doi.org/10.1177/1094428114562629

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02-06-2024

How to Cite

Fardian, D., Suryadi, D., Prabawanto, S., & Hayuningrat, S. (2024). Research trends on early algebra in the middle school: A combined bibliometric and meta-analysis review. Jurnal Elemen, 10(2), 410–440. https://doi.org/10.29408/jel.v10i2.25539

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