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How to Solve It: A New Aspect of Mathematical Method
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“Indeed, this TTRL approach—systematically generating and solving related, often simpler, problem variants to build towards a solution for a complex target problem—is inspired by a core tenet of human mathematical problem solving, as notably described by Polya75.”
From Olympiad-level formal mathematical reasoning with reinforcement learning (2026) · cites this paper as [75]
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Items 101–141 of 141
Henle, M. (2014) · College Mathematics Journal · doi:10.4169/college.math.j.45.4.308
Velleman, D. J. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108539890.009
Velleman, D. J. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108539890.004
Johannesson, P., & Perjons, E. (2021) · Springer eBooks · doi:10.1007/978-3-030-78132-3_5
(1975) · International Journal of Productivity and Performance Management · doi:10.1108/eb048322
Torff, B. (2020) · IGI Global eBooks · doi:10.4018/978-1-7998-3022-1.ch065
Velleman, D. J. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108539890.013
Lucci, S. (2014) · Chapman & Hall/CRC eBooks · doi:10.1201/b16812-44
Velleman, D. J. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108539890.010
Velleman, D. J. (2019) · doi:10.1017/9781108539890.001
Velleman, D. J. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108539890.006
Velleman, D. J. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108539890.007
Solutions to Selected Exercises
Velleman, D. J. (2019) · doi:10.1017/9781108539890.011
Velleman, D. J. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108539890.005
Velleman, D. J. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108539890.003
Velleman, D. J. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108539890.002
Solehah, M., & Masriyah, M. (2021) · MATHEdunesa · doi:10.26740/mathedunesa.v10n2.p220-229
Suggestions for Further Reading
Velleman, D. J. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108539890.012
Velleman, D. J. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108539890.008
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Rojas-Marin, E. D., Angarita-Izaquita, G. A., Palacios, J. F., & Delvasto, P. (2024) · Boletín de Geología · doi:10.18273/revbol.v46n1-2024005
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Mukarromah, S., Rahmawati, N. D., Ariyanto, L., & Ashari, S. R. A. (2024) · Jurnal Pendidikan dan Pembelajaran Indonesia (JPPI) · doi:10.53299/jppi.v4i2.539
Herrera, I. A. R. (2025) · Lecture notes in computer science · doi:10.1007/978-3-031-83879-8_4
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Binder, N., Khavaran, A., & Sankowski, R. (2025) · Frontiers in Bioinformatics · doi:10.3389/fbinf.2025.1554010 · Cited by 1
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Ishariyadi, I. (2025) · Aksioma · doi:10.22487/aksioma.v14i1.4377
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Chu, H. V., Miller, S. J., & Siktar, J. M. (2025) · Mathematics Magazine · doi:10.1080/0025570x.2025.2506971
Novaes, C. D. (2025) · Synthese Library/Synthese library · doi:10.1007/978-3-031-88213-5_3
Method for Selecting Problem-solving Techniques based on Schema Sequence
Kobayashi, T., & Iijima, J. (2025) · IEEJ Transactions on Electronics Information and Systems · doi:10.1541/ieejeiss.145.728
Cortés, J. ‐., Kopylov, N., López, M. L., & Pérez, C.-L. (2025) · Modelling in Science Education and Learning · doi:10.4995/msel.2025.23547
Scaffolding the Problem-Solving Process for Introductory Computing Students
Dandekar, A., Lakshmanan, N., Ler, D., Prabawa, A. Y. S., & Rasnayaka, S. (2025) · IEEE Frontiers in Education Conference (FIE) · doi:10.1109/fie63693.2025.11328243
Yang, Y., Zhang, N., & Zhang, Q. (2026) · Frontiers in Psychology · doi:10.3389/fpsyg.2025.1723750
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Podder, D., Aatrai, S., Hazra, A., Guha, R., & Chakrabarti, P. P. (2026) · Research Square · doi:10.21203/rs.3.rs-8794593/v1
Filiz, T., & Abdullahoğlu, S. (2026) · Trakya Eğitim Dergisi · doi:10.24315/tred.1913328
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Metadata
- Authors
- POLYA, G.
- Venue
- Princeton University Press eBooks
- Publisher
- Princeton University Press
- Published
- 2014-10-26
- OpenAlex
- W4229814857
- Cited by
- 140
- References
- 0
- Citations by year
- 2026: 15 · 2025: 15 · 2024: 8 · 2023: 5 · 2022: 14 · 2021: 9 · 2020: 8 · 2019: 26 · 2018: 16 · 2017: 11 · 2016: 5 · 2015: 2 · 2014: 3
- FWCI
- 2.29
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Princeton University Press eBooks (publishedVersion)
- Topics
- Social Sciences › Education › Mathematics Education and Pedagogy
- Social Sciences › Arts and Humanities › History and Philosophy of Science › History and Theory of Mathematics
- Social Sciences › Psychology › Applied Psychology › Problem Solving Skills Development
- Keywords
- problem solving, mathematical problem solving, mathematical thinking
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