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Relevant bibliographies by topics / Geometry reasoning

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Academic literature on the topic 'Geometry reasoning'

Author: Grafiati

Published: 7 June 2025

Last updated: 2 August 2025

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Journal articles on the topic "Geometry reasoning"

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Fachrudin, Achmad Dhany, and Dwi Juniati. "Kinds of Mathematical Thinking Addressed in Geometry Research in Schools: A Systematic Review." Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika (JRPIPM) 6, no. 2 (2023): 154–65. http://dx.doi.org/10.26740/jrpipm.v6n2.p154-165.

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Geometry is one of the content of mathematics which in many studies is associated with students' thinking abilities, such as critical thinking and reasoning abilities or others..This study aims to conduct a systematic review of the geometry research in school for identifying the types of mathematical thinking and their interconnections. We searched the Scopus database for articles published from 2003 to 2023 using relevant keywords. We applied the PRISMA method to select and evaluate the studies or articles based on the empirical data. We retrieved and evaluated data from the studies on the va

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Burger, William F. "Geometry." Arithmetic Teacher 32, no. 6 (1985): 52–56. http://dx.doi.org/10.5951/at.32.6.0052.

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The elementary school mathemalics curriculum contains no substitute for the study of informal concepts in geometry. in geometry, children organize and structure their spatial experiences. Also, geometry provides a vehicle for developing mathematical reasoning abilities about visual concepts, for example, through the study of planar shapes. In this article, I shall focus on how reasoning can be developed through the study of two-dimensional shapes, their properties, and the relationships among them. Additional topics, such as tessellations with shapes, motions and symmetry, congruence, similari

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Crompton, Helen, and Sarah Ferguson. "An analysis of the essential understandings in elementary geometry and a comparison to the common core standards with teaching implications." European Journal of Science and Mathematics Education 12, no. 2 (2024): 258–75. http://dx.doi.org/10.30935/scimath/14361.

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Geometry and spatial reasoning form the foundations of learning in mathematics. However, geometry is a subject often ignored by curriculum writers and teachers until high school, leading to students lacking in critical skills in geometric reasoning. As the United States moves into a new curriculum epoch, heralding the commencement of the national common core standards (CCS), one could question if CCS in geometry align with the essential understandings children need to be successful geometric thinkers. This paper begins with an examination of the essential understandings of geometric reasoning

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Aini, Nurul, and Eny Suryowati. "Mengeksplor Penalaran Spasial Siswa dalam Menyelesaikan Soal Geometri Berdasarkan Gender." Mosharafa: Jurnal Pendidikan Matematika 11, no. 1 (2022): 61–72. http://dx.doi.org/10.31980/mosharafa.v11i1.1183.

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AbstrakPenalaran spasial penting untuk dibangun dan dikembangkan karena membantu siswa dalam memahami suatu konsep geometri. Namun, penalaran spasial siswa tahap operasional konkret masih jarang diteliti, sedangkan ditahap tersebut merupakan awal anak dalam memahami geometri. Tujuan penelitian adalah mengeksplor penalaran spasial siswa dalam menyelesaikan soal geometri berdasarkan gender. Jenis penelitian kualitatif deskriptif. Instrumen pendukung yaitu lembar tugas penalaran spasial dan pedoman wawancara. Metode pengumpulan data dengan menggunakan tes dan wawancara. Responden dari siswa kelas

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Li, Wenyan. "A Rational Review of Geometric Reasoning." World Journal of Innovation and Modern Technology 8, no. 7 (2025): 104–7. https://doi.org/10.53469/wjimt.2025.08(07).17.

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This paper analyzes the necessity of geometric reasoning thinking for students' development by discussing the junior high school mathematics geometry course as an important carrier for the development of students' reasoning ability, summarizing relevant studies on geometric reasoning, and proposing the necessity and measures for the cultivation of geometric reasoning thinking.

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Ramdhani, Sendi. "KEMAMPUAN PENALARAN ANALOGIS SANTRI DALAM GEOMETRI: PENELITIAN KUALITATIF DI SEBUAH PONDOK PESANTREN." Mosharafa: Jurnal Pendidikan Matematika 6, no. 3 (2018): 385–96. http://dx.doi.org/10.31980/mosharafa.v6i3.327.

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AbstrakPenelitian ini bertujuan untuk menyelidiki kemampuan penalaran analogis santri dalam geometri dan mengidentifikasi kesulitan dan hambatan mereka. Penulis mendeskripsikan bagaimana kemampuan analogis dalam pemahaman konsep geometri, kemampuan penalaran analogis dalam teorema dan sifat, dan kemampunan penalaran analogis dalam masalah geometri. Penelitian ini merupakan bagian dari pengembangan bahan ajar geometri untuk meningkatkan kemampuan penalaran analogis santri. Adapun metode penelitiannya menggunakan penelitian kualitatif dalam materi teorema Pythagoras, aturan kosinus, dan teorema

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Ramdhani, Sendi. "Kemampuan Penalaran Analogis Santri dalam Geometri: Penelitian Kualitatif di Sebuah Pondok Pesantren." Mosharafa: Jurnal Pendidikan Matematika 6, no. 3 (2017): 385–96. http://dx.doi.org/10.31980/mosharafa.v6i3.461.

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Penelitian ini bertujuan untuk menyelidiki kemampuan penalaran analogis santri dalam geometri dan mengidentifikasi kesulitan dan hambatan mereka. Penulis mendeskripsikan bagaimana kemampuan analogis dalam pemahaman konsep geometri, kemampuan penalaran analogis dalam teorema dan sifat, dan kemampunan penalaran analogis dalam masalah geometri. Penelitian ini merupakan bagian dari pengembangan bahan ajar geometri untuk meningkatkan kemampuan penalaran analogis santri. Adapun metode penelitiannya menggunakan penelitian kualitatif dalam materi teorema Pythagoras, aturan kosinus, dan teorema garis t

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Mason, Marguerite M. "The Vanx Hiele Model of Geometric Understanding and Mathematically Talented Students." Journal for the Education of the Gifted 21, no. 1 (1997): 38–53. http://dx.doi.org/10.1177/016235329702100103.

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Mathematically talented students typically begin the traditional precalculus sequence by completing Algebra I in seventh grade or earlier. Consequently, they enroll in geometry early based on their successful completion of Algebra I. Little or no attention is paid to their readiness for geometry as indicated by such measures as their van Hiele level of geometric understanding. Logical reasoning ability is a characteristic often used to identify mathematically talented students, but how it applies to reasoning about geometry is unknown. This study investigated the geometric understanding and re

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Vemuri, K. R., S. I. Oh, and R. A. Miller. "Topology-based geometry representation to support geometric reasoning." IEEE Transactions on Systems, Man, and Cybernetics 19, no. 2 (1989): 175–87. http://dx.doi.org/10.1109/21.31024.

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Abu Elwan, Reda. "The Effect of Teaching "Chaos Theory and Fractal Geometry" on Geometric Reasoning Skills of Secondary Students." INTERNATIONAL JOURNAL OF RESEARCH IN EDUCATION METHODOLOGY 6, no. 2 (2015): 804–15. http://dx.doi.org/10.24297/ijrem.v6i2.3876.

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Chaos theory and fractal geometry have begun to appear as an important issue in secondary school mathematics. Chaos theory is the qualitative study of unstable periods in deterministic nonlinear dynamical systems, chaos theory looks at how things evolve. Fractal geometry is a subject that has established connections with many areas of mathematics (including number theory, probability theory and dynamical systems). Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century; this paper inve

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Dissertations / Theses on the topic "Geometry reasoning"

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Poon, Wai-hoi Bobby, and 潘維凱. "Geometry reasoning of secondary students." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2009. http://hub.hku.hk/bib/B4439102X.

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Handscomb, Kerry. "Image-based reasoning in geometry /." Burnaby B.C. : Simon Fraser University, 2005. http://ir.lib.sfu.ca/handle/1892/2164.

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Liu, Yixian. "Reasoning scene geometry from single images." Thesis, Queen Mary, University of London, 2014. http://qmro.qmul.ac.uk/xmlui/handle/123456789/9131.

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Holistic scene understanding is one of the major goals in recent research of computer vision. Most popular recognition algorithms focus on semantic understanding and are incapable of providing the global depth information of the scene structure from the 2D projection of the world. Yet it is obvious that recovery of scene surface layout could be used to help many practical 3D-based applications, including 2D-to-3D movie re-production, robotic navigation, view synthesis, etc. Therefore, we identify scene geometric reasoning as the key problem of scene understanding. This PhD work makes a contrib

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Winer, Michael Loyd. "Students' Reasoning with Geometric Proofs that use Triangle Congruence Postulates." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1500037701968622.

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Frazee, Leah M. "The Interaction of Geometric and Spatial Reasoning: Student Learning of 2D Isometries in a Special Dynamic Geometry Environment." The Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1531862080144028.

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Hogan, Joanne. "Deductive reasoning in Euclidean geometry : an intermediate level unit /." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape7/PQDD_0008/MQ42396.pdf.

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Heuel, Stephan. "[Uncertain projective geometry] [statistical reasoning for polyhedral object reconstruction]." [Berlin Heidelberg] [Springer], 2002. http://dx.doi.org/10.1007/b97201.

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Heuel, Stephan. "Uncertain projective geometry : statistical reasoning for polyhedral object reconstruction /." Berlin [u.a.] : Springer, 2004. http://www.loc.gov/catdir/enhancements/fy0813/2004104982-d.html.

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Norman, Alexander Jesse. "Visual reasoning in Euclid's geometry : an epistemology of diagrams." Thesis, University College London (University of London), 2003. http://sas-space.sas.ac.uk/1121/.

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It is widely held that the role of diagrams in mathematical arguments is merely heuristic, or involves a dubious appeal to a postulated faculty of “intuition”. To many these have seemed to exhaust the available alternatives, and worries about the status of intuition have in turn motivated the dismissal of diagrams. Thus, on a standard interpretation, an important goal of 19th Century mathematics was to supersede appeals to intuition as a ground for knowledge, with Euclid’s geometry—in which diagrams are ubiquitous—an important target. On this interpretation, Euclid’s presentation is insufficie

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Maiduang, Alongkot. "Dynamic geometry environment and its relation to thai students' higher-order thinking : reasoning in Euclidean geometry." Thesis, King's College London (University of London), 2013. https://kclpure.kcl.ac.uk/portal/en/theses/dynamic-geometry-environment-and-its-relation-to-thai-students-higherorder-thinking(f3395341-41de-4cb5-9a0b-0c2834f681b7).html.

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Since its introduction in the late 1980s, Dynamic Geometry Software (DGS) has become one of the most innovative tools in mathematics education. It is defined as graphical software, where geometric figures can be constructed with pre-defined relationships, which will retain when the figures are dynamically manipulated. This digital tool provides a new geometry learning environment inherently different from the traditional paper-and-pencil mode. This research investigates the situation where learners interact directly with this dynamic geometry environment. It examines how learners interpret DGS

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Books on the topic "Geometry reasoning"

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Liu, Jiming. Spatial Reasoning and Planning: Geometry, Mechanism, and Motion. Springer Berlin Heidelberg, 2004.

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Stephan, Heuel, ed. Uncertain projective geometry: Statistical reasoning for polyhedral object reconstruction. Springer, 2004.

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Battista, Michael T. Cognition-based assessment and teaching of geometric shapes: Building on students' reasoning. Heinemann, 2012.

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Battista, Michael T. Cognition-based assessment and teaching of geometric measurement: Building on students' reasoning. Heinemann, 2012.

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Ross, Debra. Master math: Geometry : including everything from triangles, polygons, proofs, and deductive reasoning to circles, solids, similarity, and coordinate geometry. Thomson/Delmar Learning, 2005.

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Sandra, Black, ed. Building thinking skills, book 3-figural. Midwest Publications, 1985.

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1953-, Boissonnat J. D., Crapo Henry, Flajolet Philippe, and Institut national de recherche en informatique et en automatique. Workshop, eds. Raisonnement géométrique assisté par ordinateur: Support de cours, 22-26 juin 1987 INRIA Sophia-Antipolis (France) = Computer-aided geometric reasoning : course texts, 22-26 juin 1987. Institut national de recherche en informatique, Service de relations extérieures, 1987.

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Deepak, Kapur, Mundy Joseph L, and International Workshop on Geometric Reasoning (1986 : Oxford University), eds. Geometric reasoning. MIT Press, 1989.

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John, Woodwark, ed. Geometric reasoning. Clarendon Press, 1989.

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Workshop on Geometric Reasoning (1986 Keble College, Oxford). Special volume on geometric reasoning. North-Holland, 1988.

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Book chapters on the topic "Geometry reasoning"

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Hershkowitz, Rina, Raymond Duval, Maria G. Bartolini Bussi, et al. "Reasoning in Geometry." In New ICMI Study Series. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5226-6_3.

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Heuel, Stephan. "3 Geometric Reasoning Using Projective Geometry." In Uncertain Projective Geometry. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-24656-5_3.

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Beeson, Michael, and Larry Wos. "OTTER Proofs in Tarskian Geometry." In Automated Reasoning. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08587-6_38.

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Heuel, Stephan. "4 Statistical Geometric Reasoning." In Uncertain Projective Geometry. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-24656-5_4.

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Fearnley-Sander, Desmond. "Plane Euclidean Reasoning." In Automated Deduction in Geometry. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-47997-x_6.

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Guevara-Casanova, Iolanda, and Carme Burgués-Flamarich. "Geometry and Visual Reasoning." In Mathematics, Education and History. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-73924-3_9.

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Goddijn, Aad, Martin Kindt, and Wolfgang Reuter. "Reasoning with distances." In Geometry with Applications and Proofs. SensePublishers, 2014. http://dx.doi.org/10.1007/978-94-6209-860-2_5.

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Li, Zhaoyu, Hangrui Bi, Jialiang Sun, Zenan Li, Kaiyu Yang, and Xujie Si. "PyEuclid: A Versatile Formal Plane Geometry System in Python." In Lecture Notes in Computer Science. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-98685-7_20.

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Abstract We introduce , a unified and versatile Python-based formal system for representing and reasoning about plane geometry problems. designs a new formal language that faithfully encodes geometric information, including diagrams, and integrates two complementary components to perform geometric reasoning: (1) a deductive database with an extensive set of inference rules for geometric properties, and (2) an algebraic system for solving diverse equations involving geometric quantities. By seamlessly combining these components, enables human-like reasoning and supports generating concise reaso

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Fenstad, Jens Erik. "Formal Semantics, Geometry, and Mind." In Logic, Argumentation & Reasoning. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72974-9_8.

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Schicho, Josef. "On Algorithmic Parametrization Methods in Algebraic Geometry." In Automated Practical Reasoning. Springer Vienna, 1995. http://dx.doi.org/10.1007/978-3-7091-6604-8_5.

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Conference papers on the topic "Geometry reasoning"

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El-Shangiti, Ahmed Oumar, Tatsuya Hiraoka, Hilal AlQuabeh, Benjamin Heinzerling, and Kentaro Inui. "The Geometry of Numerical Reasoning: Language Models Compare Numeric Properties in Linear Subspaces." In Proceedings of the 2025 Conference of the Nations of the Americas Chapter of the Association for Computational Linguistics: Human Language Technologies (Volume 2: Short Papers). Association for Computational Linguistics, 2025. https://doi.org/10.18653/v1/2025.naacl-short.47.

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Shengyuan, Yan, and Zhong Xiuqin. "Geo-Qwen: A Geometry Problem-Solving Method Based on Generative Large Language Models and Heuristic Reasoning." In 2024 21st International Computer Conference on Wavelet Active Media Technology and Information Processing (ICCWAMTIP). IEEE, 2024. https://doi.org/10.1109/iccwamtip64812.2024.10873683.

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Navaneethakrishnan, Ravisrinivas, Kristin L. Wood, and Richard H. Crawford. "An Object-Oriented Formalism for Geometric Reasoning in Engineering Design and Manufacture." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0403.

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Abstract Geometry is a language for representing and communicating mechanical design information. To enhance the integration of design and manufacturing tasks, a representation of product geometry at appropriate levels of abstraction for geometric reasoning is necessary. In addition, a mechanism to perform reasoning with the representation is needed. This paper describes a computational formalism for representing and manipulating geometry at different abstraction levels. Geometry is abstracted in terms of form features. Spatial relationships between features, which are important components for

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Fekete, Sàndor P., and Alexander Kröller. "Geometry-based reasoning for a large sensor network." In the twenty-second annual symposium. ACM Press, 2006. http://dx.doi.org/10.1145/1137856.1137926.

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Xiao, Tong, Jiayu Liu, Zhenya Huang, et al. "Learning to Solve Geometry Problems via Simulating Human Dual-Reasoning Process." In Thirty-Third International Joint Conference on Artificial Intelligence {IJCAI-24}. International Joint Conferences on Artificial Intelligence Organization, 2024. http://dx.doi.org/10.24963/ijcai.2024/725.

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Geometry Problem Solving (GPS), which is a classic and challenging math problem, has attracted much attention in recent years. It requires a solver to comprehensively understand both text and diagram, master essential geometry knowledge, and appropriately apply it in reasoning. However, existing works follow a paradigm of neural machine translation and only focus on enhancing the capability of encoders, which neglects the essential characteristics of human geometry reasoning. In this paper, inspired by dual-process theory, we propose a Dual-Reasoning Geometry Solver (DualGeoSolver) to simulate

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Chen, Jiaqi, Tong Li, Jinghui Qin, et al. "UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression." In Proceedings of the 2022 Conference on Empirical Methods in Natural Language Processing. Association for Computational Linguistics, 2022. http://dx.doi.org/10.18653/v1/2022.emnlp-main.218.

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Song, Bing, Gang Xiong, Zhen Shen, Fenghua Zhu, Yisheng Lv, and Peijun Ye. "Geometry Problem Solving Based on Counter-Factual Evolutionary Reasoning." In 2023 IEEE 19th International Conference on Automation Science and Engineering (CASE). IEEE, 2023. http://dx.doi.org/10.1109/case56687.2023.10260539.

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Zhang, Ming-Liang, Fei Yin, Yi-Han Hao, and Cheng-Lin Liu. "Plane Geometry Diagram Parsing." In Thirty-First International Joint Conference on Artificial Intelligence {IJCAI-22}. International Joint Conferences on Artificial Intelligence Organization, 2022. http://dx.doi.org/10.24963/ijcai.2022/228.

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Geometry diagram parsing plays a key role in geometry problem solving, wherein the primitive extraction and relation parsing remain challenging due to the complex layout and between-primitive relationship. In this paper, we propose a powerful diagram parser based on deep learning and graph reasoning. Specifically, a modified instance segmentation method is proposed to extract geometric primitives, and the graph neural network (GNN) is leveraged to realize relation parsing and primitive classification incorporating geometric features and prior knowledge. All the modules are integrated into an e

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Chen, Yuh-Min, R. Allen Miller, and Shao-Chiung Lu. "Spatial Reasoning on Form Feature Interactions for Manufacturability Assessment." In ASME 1992 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/cie1992-0004.

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Abstract This paper presents the definition, reasoning and representation of part geometry characteristics to support manufacturability assessment. The scope is limited to the extraction of significant items formed from feature interactions for castability and moldability assessment. Reasoning for part geometry characteristics is performed as a refinement procedure. High-level spatial relationships between features - “Is_In” and “Adjacent_To” are first derived to support the specialization of the characteristics of individual features as well as other detailed relationships. The significant it

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Zheng, Bo, Yibiao Zhao, Joey C. Yu, Katsushi Ikeuchi, and Song-Chun Zhu. "Beyond Point Clouds: Scene Understanding by Reasoning Geometry and Physics." In 2013 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2013. http://dx.doi.org/10.1109/cvpr.2013.402.

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Reports on the topic "Geometry reasoning"

1

Wilson, R. H. Geometric reasoning about assembly tools. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/434422.

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