Learning in pairs, thinking in shapes: A study on spatial reasoning in elementary school

Authors

  • Lingga Nico Pradana Universitas PGRI Madiun, Madiun, Indonesia Author
  • Octarina Hidayatus Sholikhah Universitas PGRI Madiun, Madiun, Indonesia Author
  • Joel I. Alvarez Nueva Ecija University, Cabanatuan City, Philippines Author

DOI:

https://doi.org/10.33578/jpfkip.v15i4.953-976

Keywords:

Elementary, Mathematics, spatial reasoning, power of two model

Abstract

This study examines the effectiveness of the Power of Two learning model in improving fifth-grade students’ spatial reasoning skills, specifically in understanding plane figures and composite areas. A quantitative approach was employed using an Interrupted Time Series Design, involving 29 students from a public elementary school. The instrument used was the VR-test (Visualization and Relation Test), designed to measure two components of spatial reasoning: spatial visualization and spatial relation. The test was administered in two phases: a pre-test before the intervention and a post-test afterward. The pre-test assessed students’ initial ability to identify and calculate the area of shapes that form composite figures. After the Power of Two intervention, students showed an increase in their average post-test scores, indicating improved spatial reasoning. Statistical analysis using paired and independent-samples t-tests revealed significant differences between pre- and post-test results, confirming the intervention's effectiveness. The findings also demonstrated that both male and female students improved, although males slightly outperformed females in spatial visualization and spatial relations. Furthermore, the study highlights the pedagogical potential of peer collaboration and structured dialogue in developing students’ spatial thinking. These findings provide empirical support for integrating cooperative learning models, such as the Power of Two, into elementary mathematics instruction.

References

Adams, J., Resnick, I., & Lowrie, T. (2023). Supporting senior high-school students’ measurement and geometry performance: Does spatial training transfer to mathematics achievement? Mathematics Education Research Journal, 35(4), 879–900. https://doi.org/10.1007/s13394-022-00416-y DOI: https://doi.org/10.1007/s13394-022-00416-y

Aflia, K., Yuhana, Y., & Alamsyah, T. P. (2020). Developing geoboard learning media for students’ mathematical understanding ability at elementary schools. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 9(5), 680–689. https://doi.org/10.33578/jpfkip.v9i5.8028 DOI: https://doi.org/10.33578/jpfkip.v9i5.8028

Aini, N., & Suryowati, E. (2022). Mengeksplor Penalaran Spasial Siswa dalam Menyelesaikan Soal Geometri Berdasarkan Gender. Jurnal Pendidikan Matematika, 11(1), 61–72. https://doi.org/10.31980/mosharafa.v11i1.1183 DOI: https://doi.org/10.31980/mosharafa.v11i1.1183

Ali, M. & Usman. (2020). Penerapan Model Pembelajaran Kooperatif Tipe The Power Of Two Terhadap Hasil Belajar Matematika Pada Materi Bangun Datar Segitiga Siswa Kelas VII SMP Negeri 2 Kotabaru Tahun Pelajaran 2016/2017. Cendekia: Jurnal Ilmiah Pendidikan, 5(1), 1–9. https://doi.org/10.26877/wp.v2i2.13175 DOI: https://doi.org/10.26877/wp.v2i2.13175

An, S., & Zhang, S. (2024). Effects of ability grouping on students’ collaborative problem solving patterns: Evidence from lag sequence analysis and epistemic network analysis. Thinking Skills and Creativity, 51, 101453. https://doi.org/10.1016/j.tsc.2023.101453 DOI: https://doi.org/10.1016/j.tsc.2023.101453

Ananda, N. A., Purnamasari, R., & Gani, R. A. (2023). Development of a learning video tool using the canva application on ethnic and religious diversity in my country sub-theme at grade iv elementary students. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 12(4), 1044–1054. https://doi.org/10.33578/jpfkip.v12i4.9911

Anggriani, M. D., Intansari, I., & Indriani, L. (2024). Project-based learning: Cultivating collaborative skills in science education. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 13(5), 184–190. https://doi.org/10.33578/jpfkip-v13i5.p184-190 DOI: https://doi.org/10.33578/jpfkip-v13i5.p184-190

Ardi, M., Latuconsina, N. K., & Angriani, A. D. (2020). Effectiveness of The Power of Two Type of Cooperative Learning Model on Student Mathematics Learning Outcomes. Alauddin Journal of Mathematics Education, 2(1), 1–9. https://doi.org/10.24252/ajme.v2i1.13713 DOI: https://doi.org/10.24252/ajme.v2i1.13713

As’ari, W., & Kusaeri, A. (2024). Analisis Kemampuan Spasial Siswa dalam Pembelajaran Matematika melalui Kendi Maling Banyumulek. Jurnal Basicedu, 8(2), 1474–1484. https://doi.org/10.31004/basicedu.v8i2.7427 DOI: https://doi.org/10.31004/basicedu.v8i2.7427

Az Zahra, F., & Hakim, D. L. (2022). Kemampuan Berpikir Kritis Matematis Siswa Sma Pada Materi Bangun Ruang Sisi Datar Pasca Pembelajaran Jarak Jauh. Teorema: Teori dan Riset Matematika, 7(2), 425–438. https://doi.org/10.25157/teorema.v7i2.7221 DOI: https://doi.org/10.25157/teorema.v7i2.7221

Balakrishnan, N., Gil, M. Á., Martín, N., Morales, D., & Pardo, M. del C. (Eds.). (2023). Trends in Mathematical, Information and Data Sciences. Studies in Systems, Decision and Control, 445. https://doi.org/10.1007/978-3-031-04137-2 DOI: https://doi.org/10.1007/978-3-031-04137-2

Bates, K. E., Williams, A. Y., Gilligan-Lee, K. A., Gripton, C., Lancaster, A., Williams, H., Borthwick, A., Gifford, S., & Farran, E. K. (2023). Practitioners’ perspectives on spatial reasoning in educational practice from birth to 7 years. British Journal of Educational Psychology, 93(2), 571–590. https://doi.org/10.1111/bjep.12579 DOI: https://doi.org/10.1111/bjep.12579

Battista, M. T. (2017). Mathematical Reasoning and Sense Making. Reasoning and Sense Making in the Mathematics Classroom: Pre-K-Grade 2, 105(2), 1–19.

Cao, Y. (Ed.). (2024). Students’ Collaborative Problem Solving in Mathematics Classrooms: An Empirical Study. Springer Nature. https://doi.org/10.1007/978-981-99-7386-6 DOI: https://doi.org/10.1007/978-981-99-7386-6

Citra, D. C. N., Ambarwati, L., & Sampoerno, P. D. (2021). Pengaruh Model Pembelajaran Van Hiele dan Kecerdasan Spasial terhadap Kemampuan Penalaran Matematis Siswa di MAN Bekasi. Jurnal Riset Pembelajaran Matematika Sekolah, 5(1), 54–63. https://doi.org/10.21009/jrpms.051.07 DOI: https://doi.org/10.21009/jrpms.051.07

Dashti, F. A., & Yateem, A. K. (2018). Use of Mobile Devices: A Case Study with Children from Kuwait and the United States. International Journal of Early Childhood, 50(1), 121–134. https://doi.org/10.1007/s13158-018-0208-x DOI: https://doi.org/10.1007/s13158-018-0208-x

Destiani, M., Fitri, H., Iswantir, I., & Isnaniah, I. (2023). Kemampuan Spasial Siswa Laki-Laki dan Perempuan terhadap Pemecahan Masalah Geometri. Lattice Journal : Journal of Mathematics Education and Applied, 3(2), 105. https://doi.org/10.30983/lattice.v3i2.7549 DOI: https://doi.org/10.30983/lattice.v3i2.7549

Dewi, Z. A., & Hakim, D. L. (2024). Kemampuan Siswa Dalam Menyelesaikan Soal Bangun Datar Gabungan. EMTEKA: Jurnal Pendidikan Matematika, 5(1), 217–231. https://doi.org/10.24127/emteka.v5i1.5473 DOI: https://doi.org/10.24127/emteka.v5i1.5473

Faot, I. Y. (2021). Teachers’ Creativity in Designing Teaching Aids to Improve Students’ Learning Outcomes at Grade IV SD Inpres Tobu. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 10(2), 330–338. https://doi.org/10.33578/jpfkip.v10i2.8223 DOI: https://doi.org/10.33578/jpfkip.v10i2.8223

Fauzi, I., & Arisetyawan, A. (2020). Analisis Kesulitan Belajar Siswa pada Materi Geometri Di Sekolah Dasar. Kreano, Jurnal Matematika Kreatif-Inovatif, 11(1), 27–35. https://doi.org/10.15294/kreano.v11i1.20726 DOI: https://doi.org/10.15294/kreano.v11i1.20726

Fehringer, B. (2023). R-Cube-SR Test: A New Test for Spatial Relations Distinguishable From Visualization. European Journal of Psychological Assessment, 39(1), 37–48. https://doi.org/10.1027/1015-5759/a000682 DOI: https://doi.org/10.1027/1015-5759/a000682

Francis, K., Khan, S., & Davis, B. (2016). Enactivism, Spatial Reasoning and Coding. Digital Experiences in Mathematics Education, 2(1), 1–20. https://doi.org/10.1007/s40751-015-0010-4 DOI: https://doi.org/10.1007/s40751-015-0010-4

Giofrè, D., Cornoldi, C., Martini, A., & Toffalini, E. (2020). A population level analysis of the gender gap in mathematics: Results on over 13 million children using the INVALSI dataset. Intelligence, 81, 101467. https://doi.org/10.1016/j.intell.2020.101467 DOI: https://doi.org/10.1016/j.intell.2020.101467

Haciomeroglu, E. S. (2016). Object-spatial visualization and verbal cognitive styles, and their relation to cognitive abilities and mathematical performance. Educational Sciences: Theory & Practice, 16(3), 987–1003. https://doi.org/10.12738/estp.2016.3.0429 DOI: https://doi.org/10.12738/estp.2016.3.0429

Harris, D. (2023). Spatial reasoning in context: Bridging cognitive and educational perspectives of spatial-mathematics relations. Frontiers in Education, 8, 1–13. https://doi.org/10.3389/feduc.2023.1302099 DOI: https://doi.org/10.3389/feduc.2023.1302099

Harris, D., Logan, T., & Lowrie, T. (2023). Spatial visualization and measurement of area: A case study in spatialized mathematics instruction. The Journal of Mathematical Behavior, 70, 101038. https://doi.org/10.1016/j.jmathb.2023.101038 DOI: https://doi.org/10.1016/j.jmathb.2023.101038

Hartatiana, Darhim, & Nurlaelah. (2017). Student’s Spatial Reasoning through Model Eliciting Activities with Cabri 3D. Journal of Physics: Conf. Series, 895, 1–5. DOI: https://doi.org/10.1088/1742-6596/895/1/012075

Hasanah, U., Putrawangsa, S., Purwanta, E., Setiawati, F. A., & Purnomo, Y. W. (2024). Primary Student Spatial Reasoning Abilities: Progression and Challenges. Mathematics Education Journal, 18(3), 329–348. https://doi.org/10.22342/jpm.v18i3.pp329-348 DOI: https://doi.org/10.22342/jpm.v18i3.pp329-348

Hawes, Z. C. K., Gilligan-Lee, K. A., & Mix, K. S. (2023). Infusing Spatial Thinking Into Elementary and Middle School Mathematics: What, Why, and How? In K. M. Robinson, A. K. Dubé, & D. Kotsopoulos (Eds.), Mathematical Cognition and Understanding: Perspectives on Mathematical Minds in the Elementary and Middle School Years (pp. 13–33). Springer International Publishing. https://doi.org/10.1007/978-3-031-29195-1_2 DOI: https://doi.org/10.1007/978-3-031-29195-1_2

Kurniawan, D., Sari, A., & Wahyuningsih, T. (2021). Implementation of The Power of Two Learning Model Operating Materials For Algebrial Form Based on The Power Point of Class VII High Schools. Journal of Education and Learning Mathematics Research (JELMaR, 2(1), 37–42. https://doi.org/10.37303/jelmar.v2i1.47 DOI: https://doi.org/10.37303/jelmar.v2i1.47

Kurniawan, K. (2019). Penalaran Spasial Siswa Pada Tahapan Operasional Formal Menurut Piaget Dalam Memecahkan Masalah Geometri. Primatika : Jurnal Pendidikan Matematika, 8(1), 21–26. https://doi.org/10.30872/primatika.v8i1.137 DOI: https://doi.org/10.30872/primatika.v8i1.137

Kurt, G., Önel, F., & Çakıoğlu, Ö. (2023). An investigation of Middle School Students Spatial Reasoning Skills. Lnternational Electronic Journal of Elementary Education, 16(1), 123–141. https://doi.org/10.26822/iejee.2023.319 DOI: https://doi.org/10.26822/iejee.2023.319

Laily, U. N., Nafiah, Hartatik, S., & Taufiq, M. (2020). The influence of teacher’s teaching style toward visual-spatial intelligence students in class iv sd khadijah surabaya. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 9(2), 213–227. https://doi.org/10.33578/jpfkip.v9i2.7882 DOI: https://doi.org/10.33578/jpfkip.v9i2.7882

Lee, C.-Y., Lei, K. H., Chen, M.-J., Lee, C.-R., & Chen, C.-C. (2023). Helping low-achieving students to comprehend the area of basic geometric shapes using an enclosing-rectangle scaffold via computer-assisted instruction. Cogent Education, 10(2), 2277576. https://doi.org/10.1080/2331186X.2023.2277576 DOI: https://doi.org/10.1080/2331186X.2023.2277576

Lehmann, T. H. (2023). Learning to measure the area of composite shapes. Educational Studies in Mathematics, 112(3), 531–565. https://doi.org/10.1007/s10649-022-10191-z DOI: https://doi.org/10.1007/s10649-022-10191-z

Leni, N., Musdi, E., Arnawa, I. M., & Yerizon, Y. (2021). Profil Kemampuan Penalaran Spasial Siswa SMPN 1 Padangpanjang Pada Masalah Geometri. JIPM (Jurnal Ilmiah Pendidikan Matematika, 10(1), 111–121. https://doi.org/10.25273/jipm.v10i1.10000 DOI: https://doi.org/10.25273/jipm.v10i1.10000

Lin, T. J., Buckley, J., Gumaelius, L., & Ampadu, E. (2024). The potential for spatial ability development through the Swedish technology and craft compulsory curricula. International Journal of Technology and Design Education. https://doi.org/10.1007/s10798-024-09958-7 DOI: https://doi.org/10.1007/s10798-024-09958-7

Liu, Y., & Wei, H. (2024). Teacher Intervention in Collaborative Mathematics Problem Solving in Secondary School. In Y. Cao (Ed.), Students’ Collaborative Problem Solving in Mathematics Classrooms: An Empirical Study (pp. 243–274). Springer Nature. https://doi.org/10.1007/978-981-99-7386-6_10 DOI: https://doi.org/10.1007/978-981-99-7386-6_10

Loliyana, Hermawan, J. S., Anisa, Tias, I. W. U., Rohman, F., Izzatika, A., & Muafifah, S. (2023). 3D Geometry Learning Using GeoGebra on Students’ Mathematical Reasoning Ability. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 12(6), 1407–1414. https://doi.org/10.33578/jpfkip.v12i6.10253

Lowrie, T., & Logan, T. (2023). Spatial Visualization Supports Students’ Math: Mechanisms for Spatial Transfer. Journal of Intelligence, 11(6), 127. https://doi.org/10.3390/jintelligence11060127 DOI: https://doi.org/10.3390/jintelligence11060127

Lowrie, T., Logan, T., Harris, D., & Hegarty, M. (2018). The impact of an intervention program on students’ spatial reasoning: Student engagement through mathematics-enhanced learning activities. Cognitive Research: Principles and Implications, 3(1), 1–10. https://doi.org/10.1186/s41235-018-0147-y DOI: https://doi.org/10.1186/s41235-018-0147-y

Lowrie, T., Resnick, I., Harris, D., & Logan, T. (2020). In search of the mechanisms that enable transfer from spatial reasoning to mathematics understanding. Mathematics Education Research Journal 2020 32:2, 32(2), 175–188. https://doi.org/10.1007/S13394-020-00336-9 DOI: https://doi.org/10.1007/s13394-020-00336-9

Manik, F., & Zubainur, C. M. (2023). ͏Kem͏ampuan Penalaran Spasial Siswa melalui Pemberian Scaffolding. Jurnal Ilmiah Mahasiswa Pendidikan Matematika, 8(1), 50–61.

Marlini, S., Alim, J. A., & Putra, Z. H. (2025). Development of geometry teaching materials based on RME in the context of the perahu baganduang tradition. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 14(6), 970–983. https://doi.org/10.33578/jpfkip.v14i6.970-983 DOI: https://doi.org/10.33578/jpfkip.v14i6.970-983

Maulana, A. (2021). Proses Penalaran Dan Pembuktian Matematis Peserta Didik Ditinjau Dari Perbedaan Kemampuan Spasial. Jurnal Pendidikan Matematika Undiksha, 12(1), 10–16. https://doi.org/10.23887/jjpm.v12i1.33166 DOI: https://doi.org/10.23887/jjpm.v12i1.33166

Meyvita, I., & Azizah, A. N. (2024). Analisis Kesulitan Pembelajaran Geometri Kelas 4 Sd Serta Peran Geogebra Dalam Menanggulangi Kesulitan Siswa. Jurnal Ilmiah PGSD FKIP Universitas Mandiri, 10(4), 239–249. https://doi.org/10.36989/didaktik.v10i04.4544

Mira, M. (2021). Penerapan Model Kooperatif Tipe The Power Of Two Untuk Meningkatkan Kerjasama Dan Hasil Belajar. JIEBAR : Journal of Islamic Education: Basic and Applied Research, 2(1), 1–88. https://doi.org/10.33853/jiebar.v2i1.195 DOI: https://doi.org/10.33853/jiebar.v2i1.195

Mix, K. S., Levine, S. C., Cheng, Y.-L., Young, C., Hambrick, D. Z., Ping, R., & Konstantopoulos, S. (2016). Separate but correlated: The latent structure of space and mathematics across development. Journal of Experimental Psychology: General, 145(9), 1206–1227. https://doi.org/10.1037/xge0000182 DOI: https://doi.org/10.1037/xge0000182

Moss, J., Hawes, Z., Naqvi, S., & Caswell, B. (2015). Adapting Japanese Lesson Study to enhance the teaching and learning of geometry and spatial reasoning in early years classrooms: A case study. ZDM Mathematics Education, 47(3), 377–390. https://doi.org/10.1007/s11858-015-0679-2 DOI: https://doi.org/10.1007/s11858-015-0679-2

Mulligan, J., Woolcott, G., Mitchelmore, M., Busatto, S., Lai, J., & Davis, B. (2020). Evaluating the impact of a Spatial Reasoning Mathematics Program (SRMP) intervention in the primary school. Mathematics Education Research Journal 2020 32:2, 32(2), 285–305. https://doi.org/10.1007/S13394-020-00324-Z DOI: https://doi.org/10.1007/s13394-020-00324-z

Mulligan, J., Woolcott, G., Mitchelmore, M., & Davis, B. (2017). Connecting mathematics learning through spatial reasoning. Mathematics Education Research Journal. https://doi.org/10.1007/s13394-017-0210-x DOI: https://doi.org/10.1007/s13394-017-0210-x

Naibaho, A. A., Hartanto, T. J., Dinata, P. A. C., & Risnameli. (2023). Implementation of think-pair-share model to increase the sixth-grade students’ learning activities and outcomes at sd negeri 4 panarung. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 12(2), 416–428. https://doi.org/10.33578/jpfkip.v12i2.9622 DOI: https://doi.org/10.33578/jpfkip.v12i2.9622

Newcombe, N. S., & Shipley, T. F. (2015). Thinking About Spatial Thinking: New Typology, New Assessments. In J. S. Gero (Ed.), Studying Visual and Spatial Reasoning for Design Creativity (pp. 179–192). Springer Netherlands. https://doi.org/10.1007/978-94-017-9297-4_10 DOI: https://doi.org/10.1007/978-94-017-9297-4_10

Nilsen, T., & Teig, N. (2024). Discussions of Findings on Teacher Practice Across Countries, Time, and Chapters. In N. Teig, T. Nilsen, & K. Yang Hansen (Eds.), Effective and Equitable Teacher Practice in Mathematics and Science Education: A Nordic Perspective Across Time and Groups of Students (pp. 277–293). Springer Nature Switzerland. https://doi.org/10.1007/978-3-031-49580-9_10 DOI: https://doi.org/10.1007/978-3-031-49580-9_10

Pangestu, A., & Setyaningrum, W. (2020). Instructional media for space geometry based on augmented reality to improve students’ spatial reasoning. Journal of Physics: Conference Series, 1581(1), 1–6. https://doi.org/10.1088/1742-6596/1581/1/012058 DOI: https://doi.org/10.1088/1742-6596/1581/1/012058

Pangestuti, H. D., Syaf, A. H., & Rachmawati, T. K. (2021). Representation Mathematics through The Power of Two. Jurnal Pengembangan Pembelajaran Matematika, 3(2), 89–100. https://doi.org/10.14421/jppm.2021.32.89-100 DOI: https://doi.org/10.14421/jppm.2021.32.89-100

Pasaribu, R. L., & Suratman, D. (2022). Kemampuan Spasial Mahasiswa Menggunakan Geogebra Pada Irisan Kerucut. Jurnal Pembelajaran Matematika Inovatif, 5(6), 1551–1558. https://doi.org/10.22460/jpmi.v5i6.1551-1558

Peterson, E. G., Weinberger, A. B., Uttal, D. H., Kolvoord, B., & Green, A. E. (2020). Spatial activity participation in childhood and adolescence: Consistency and relations to spatial thinking in adolescence. Cognitive Research: Principles and Implications, 5(1), 43. https://doi.org/10.1186/s41235-020-00239-0 DOI: https://doi.org/10.1186/s41235-020-00239-0

Porat, R., & Ceobanu, C. (2024). The Role of Spatial Ability in Academic Success: The Impact of the Integrated Hybrid Training Program in Architecture and Engineering Higher Education. Education Sciences, 14(11), 1–18. https://doi.org/10.3390/educsci14111237 DOI: https://doi.org/10.3390/educsci14111237

Pradana, L. N., Sa’dijah, C., Sulandra, I. M., Sudirman, & Sholikhah, O. H. (2020). Virtual mathematics kits (VMK): The value of spatial orientation on it. European Journal of Educational Research, 9(3), 1105–1114. https://doi.org/10.12973/eu-jer.9.3.1105 DOI: https://doi.org/10.12973/eu-jer.9.3.1105

Pradana, L. N., & Sholikhah, O. H. (2023). Spatial Reasoning Construction: The Way to Use It to Solve Geometric Problems. Mathematics Education Journal, 17(2), 209–224.

Rabab’h, B., & Veloo, A. (2015). Spatial visualization as mediating between mathematics learning strategy and mathematics achievement among 8th grade students. International Education Studies, 8(5), 1–11. https://doi.org/10.5539/ies.v8n5p1 DOI: https://doi.org/10.5539/ies.v8n5p1

Rahayu, S., Febrilia, B. R. A., & Kurniawan, A. (2022). Investigasi Penalaran Spasial Mahasiswa Calon Guru Ditinjau dari Kemampuan Berpikir Matematis. Media Pendidikan Matematika, 10(1), 92–108. https://doi.org/10.33394/mpm.v10i1.5256 DOI: https://doi.org/10.33394/mpm.v10i1.5256

Rahmawati, M. T., Kurniasari, I., & Sutinah, D. (2020). Penerapan Model Pembelajaran Kooperatif Tipe The Power Of Two Pada Materi Operasi Himpunan. Mathedunesa, 2(2), 7–8. https://doi.org/10.26740/mathedunesa.v2n2.p

Ramful, A., Lowrie, T., & Logan, T. (2017). Measurement of Spatial Ability: Construction and Validation of the Spatial Reasoning Instrument for Middle School Students. Journal of Psychoeducational Assessment, 35(7), 709–727. https://doi.org/10.1177/0734282916659207 DOI: https://doi.org/10.1177/0734282916659207

Rusdiyawanti, N., Hikmah, N., Azmi, S., & Hayati, L. (2021). Pengaruh Model Pembelajaran Kooperatif Tipe The Power Of Two Terhadap Hasil Belajar Matematika Siswa SMP Negeri 3 Mataram. Griya Journal of Mathematics Education and Application, 1(2), 232–238. https://doi.org/10.29303/griya.v1i2.50 DOI: https://doi.org/10.29303/griya.v1i2.50

Salmah, U., Putri, R. I. I., & Somakim. (2015). Ten-Structure as Strategy of Addition 1-20 by Involving Spatial Structuring Ability for First Grade Students. International Education Studies, 8(11), 16–25. https://doi.org/10.5539/ies.v8n11p16 DOI: https://doi.org/10.5539/ies.v8n11p16

Salsabilah, A. S., Nur Afifah, N. P., & Putri Herdiansyah, R. F. (2023). Analisis Kesulitan dalam Menyelesaikan Soal Luas Bangun Datar Gabungan Siswa Kelas IV SD. Journal on Education, 6(1), 2601–2608. https://doi.org/10.31004/joe.v6i1.3290 DOI: https://doi.org/10.31004/joe.v6i1.3290

Sari, I. K., Yulis, A., Barokah, A., & Mulyani, E. A. (2021). Implementing think pair square learning technique on students learning outcome. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 10(3), 485–493. https://doi.org/10.33578/10.33578/jpfkip.v10i3.8266 DOI: https://doi.org/10.33578/jpfkip.v10i3.8266

Schenck, K. E., & Nathan, M. J. (2024). Navigating Spatial Ability for Mathematics Education: A Review and Roadmap. Educational Psychology Review, 36(3), 90. https://doi.org/10.1007/s10648-024-09935-5 DOI: https://doi.org/10.1007/s10648-024-09935-5

Schoevers, E. M., Kroesbergen, E. H., & Leseman, P. P. M. (2019). Enriching mathematics education with visual arts: Effects on elementary school students’ ability in geometry and visual arts. International Journal of Science and Mathematics Education. DOI: https://doi.org/10.1007/s10763-019-10018-z

Simorangkir, F. M. A., Simbulas, L. J. C., & Sinaga, F. I. S. H. (2025). Development of desmos application integrated ethnomathematics on geometry for grade IV UPT SDN 101826 Tuntungan. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 14(4), 485–498. https://doi.org/10.33578/jpfkip.v14i4.p485-498 DOI: https://doi.org/10.33578/jpfkip.v14i4.p485-498

Slavin, R. E. (2015). Cooperative learning in elementary schools. Education 3-13, 43(1), 5–14. https://doi.org/10.1080/03004279.2015.963370 DOI: https://doi.org/10.1080/03004279.2015.963370

Subhi, M. A., Mudrikah, A., & Hakim, L. L. (2023). Peningkatan Kemampuan Penalaran Spasial Siswa Melalui Implementasi Media Pembelajaran Geometry With Augmented Reality. Jurnal Penelitian Pembelajaran Matematika Sekolah, 7(2), 169–180. https://doi.org/10.33369/jp2ms.7.2.169-180 DOI: https://doi.org/10.33369/jp2ms.7.2.169-180

Sudirman, S., & Alghadari, F. (2020). Bagaimana Mengembangkan Kemampuan Spasial dalam Pembelajaran Matematika di Sekolah?: Suatu Tinjauan Literatur. Journal of Instructional Mathematics, 1(2), 60–72. https://doi.org/10.37640/jim.v1i2.370 DOI: https://doi.org/10.37640/jim.v1i2.370

Sugandi, L., & Kurniawan, Y. (2018). The influence of information technology on the information and service quality for the teaching and learning. International Journal of Emerging Technologies in Learning, 13(12), 230–237. https://doi.org/10.3991/ijet.v13i12.8665 DOI: https://doi.org/10.3991/ijet.v13i12.8665

Supli, A. A., & Yan, X. (2024). Exploring the effectiveness of augmented reality in enhancing spatial reasoning skills: A study on mental rotation, spatial orientation, and spatial visualization in primary school students. Education and Information Technologies, 29(1), 351–374. https://doi.org/10.1007/s10639-023-12255-w DOI: https://doi.org/10.1007/s10639-023-12255-w

Talkhan, E., Alhubaidah, S., Muthanna, A., & Qadhi, S. (2025). The effect of cooperative learning toward mathematics achievement of primary students: A systematic review using meta-analysis. Social Sciences & Humanities Open, 12, 102247. https://doi.org/10.1016/j.ssaho.2025.102247 DOI: https://doi.org/10.1016/j.ssaho.2025.102247

Teapon, N., & Kusumah, Y. S. (2023). Analisis Kemampuan Spatial Siswa Sekolah Menengah Pertama Berdasarkan Teori Hubert Maier. Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika, 6(2), 236–245. https://doi.org/10.30605/proximal.v6i2.2796 DOI: https://doi.org/10.30605/proximal.v6i2.2796

Tepylo, D. (2017). Examining Changes in Spatialized Geometry Knowledge for Teaching as Early Years Teachers Participate in Adapted (Issue July). https://doi.org/10.13140/RG.2.2.17795.60966

Tinungki, G. M., Hartono, P. G., Nurwahyu, B., Islamiyati, A., Robiyanto, R., Hartono, A. B., & Raya, M. Y. (2024). Exploring the team-assisted individualization cooperative learning to enhance mathematical problem solving, communication and self-proficiency in teaching non-parametric statistics. Cogent Education, 11(1), 2381333. https://doi.org/10.1080/2331186X.2024.2381333 DOI: https://doi.org/10.1080/2331186X.2024.2381333

Weisblatt, E. J., Langensiepen, C. S., Cook, B., Dias, C., Plaisted Grant, K., Dhariwal, M., Fairclough, M. S., Friend, S. E., Malone, A. E., Varga-Elmiyeh, B., Rybicki, A., Karanth, P., & Belmonte, M. K. (2019). A Tablet Computer-Assisted Motor and Language Skills Training Program to Promote Communication Development in Children with Autism: Development and Pilot Study. International Journal of Human-Computer Interaction, 35(8), 643–665. https://doi.org/10.1080/10447318.2018.1550176 DOI: https://doi.org/10.1080/10447318.2018.1550176

Winarti, D. W., Patahuddin, S. M., & Lowrie, T. (2024). Unleashing the potential: Spatializing middle school mathematics for enhanced learning. Educational Studies in Mathematics, 117(3), 419–439. https://doi.org/10.1007/s10649-024-10343-3 DOI: https://doi.org/10.1007/s10649-024-10343-3

Wirajaya, L. (2019). Eksperimentasi Penerapan Model Pembelajaran the Power of Two Ditinjau dari Kemampuan Berpikir Kritis dalam Pembelajaran Matematika. FONDATIA, 3(1), 73–82. https://doi.org/10.36088/fondatia.v3i1.197 DOI: https://doi.org/10.36088/fondatia.v3i1.197

Yüksel, N. S. (2017). Visual-spatial Ability in STEM Education (M. S. Khine, Ed.). Springer. https://doi.org/10.1007/978-3-319-44385-0 DOI: https://doi.org/10.1007/978-3-319-44385-0

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2026-08-30

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Pradana, L. N., Sholikhah, O. H., & Joel I. Alvarez. (2026). Learning in pairs, thinking in shapes: A study on spatial reasoning in elementary school. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 15(4), 953-976. https://doi.org/10.33578/jpfkip.v15i4.953-976