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Teaching and Learning of Geometry-A Literature Review on Current
Despite this, or perhaps because of it, geometry is an important component of current research in mathematics education. In the literature review, we elaborate relevant foci on the basis of ...
Mathematics (since February 1992)
math.MP is an alias for math-ph. Articles in this category focus on areas of research that illustrate the application of mathematics to problems in physics, develop mathematical methods for such applications, or provide mathematically rigorous formulations of existing physical theories. Submissions to math-ph should be of interest to both ...
Teaching and Learning of Geometry—A Literature Review on Current
In order to gain insight into the actual research activities linked to geometry, an iterative process was started to identify geometry-related research topics. Step 3 of the iterative process started with an analysis of the keywords in conference papers in the period from 2017 to 2022.
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As announced in the Journal Citation Report 2022 by Clarivate Analytics Journal of Geometry has achieved its first Impact Factor of 0.6.. We would like to take this opportunity to thank all the authors, reviewers, readers and editorial board members for their continuous support to the journal.
Research on the Teaching and Learning of Geometry
Abstract. The chapter provides a comprehensive review of recent research in geometry education, covering geometric and spatial thinking, geometric measurement, and visualization related to geometry, as well as encompassing theoretical developments and research into teaching and teacher development.
Geometry
Prominent areas of current research among faculty who work in geometry include algebraic geometry, Ricci and mean curvature flows and other curvature equations, minimal surfaces and geometric measure theory, mathematical relativity, spectral geometry, geometric scattering theory, and the geometry and dynamics of the Riemann & Teichmüller ...
Differential Geometry and its Applications
Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis ...
AMS :: Journal of Algebraic Geometry
The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an ...
Geometry to Build Models, Models to Visualize Geometry
In the seventeenth century, Guarino Guarini, mathematician and architect, affirmed that architecture, a discipline that primarily deals with measures, relies on geometry: therefore, the architect needs to know at least its basic principles. On behalf of Guarini's words, we designed a set of interdisciplinary teaching experiences, between mathematics (via a calculus course) and drawing (via ...
Computational Geometry
Computational Geometry is a forum for research in theoretical and applied aspects of computational geometry. The journal publishes fundamental research in all areas of the subject, as well as disseminating information on the applications, techniques, and use of computational …. View full aims & scope. $2390.
Research on the teaching and learning of geometry
The teaching of geometry is associated with the development of geometrical sense -geometrical thinking, i.e. those mental activities through which students organize and process the elements of ...
50980 PDFs
Explore the latest full-text research PDFs, articles, conference papers, preprints and more on ANALYTICAL GEOMETRY. Find methods information, sources, references or conduct a literature review on ...
Journal of Differential Geometry
Journal of Differential Geometry. The Journal of Differential Geometry (JDG) is devoted to the publication of research papers in differential geometry and related subjects such as differential equations, mathematical physics, algebraic geometry and geometric topology. Content Email Alerts notify you when new content has been published.
Differential Geometry
Ian Fleschler. Comments: To appear in the proceedings of the conference "Geometric Measure Theory and Applications", held in Cortona, 2024. The proceedings will be published in the Springer INdAM Series. Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
Algebraic Geometry
Algebraic Geometry is an open access journal owned by the Foundation Compositio Mathematica.The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.
PDF Research on the teaching and learning of geometry
Studies of students' geometric knowledge continue to form a main thrust in research on the teaching and learning of geometry, mainly based on the van Hiele model, Duval's figure apprehension framework, or other approaches related to identification of 2-D or 3-D geometric figures.
PDF Making Sense of Geometry Education Through the Lens of Fundamental
goals of this paper are threefold: (a) to present the structural elements of a coherent geometry curriculum through the lens of fundamental ideas, (b) to develop an analytical tool to determine the fundamental ideas of geometry in children's drawings, and (c) to provide insight into the images primary grade students have of geometry.
Research Papers from the Geometry Center
This paper introduces a visualization technique that use hyperbolic space and the WebOOGL software developed at the Geometry Center for an innovative solution to this problem. Some planar isospectral domains. by Peter Buser, John Conway, Peter Doyle, and Klaus-Dieter Semmler. This paper answers the question, ``Can you hear the shape of a drum?''.
Geometry Research Papers
Geometry is taught as a subject-matter in mathematics courses at elementary school level, and as an independent course at secondary school level in Turkish education system. When the success levels of students regarding these two subjects... more. View Geometry Research Papers on Academia.edu for free.
Geometry/Topology
The principal areas of research in geometry involve symplectic, Riemannian, and complex manifolds, with applications to and from combinatorics, classical and quantum physics, ordinary and partial differential equations, and representation theory. Research in topology per se is currently concentrated to a large extent on the study of manifolds ...
1164588 PDFs
Mathematics, Pure and Applied Math | Explore the latest full-text research PDFs, articles, conference papers, preprints and more on MATHEMATICS. Find methods information, sources, references or ...
Recent Papers
International Mathematics Research Notices, 2014 (2014), 4341--4356 Approximations of convex bodies by polytopes and by projections of spectrahedra preprint . Explicit constructions of centrally symmetric k-neighborly polytopes and large strictly antipodal sets (with S.J. Lee and I. Novik) Discrete & Computational Geometry, 49 (2013), 429--443
Dynamic response of sandwich functionally graded nanoplate under
The present paper introduces the development of dynamic stiffness method for analyzing small-scale sandwich functionally graded nanoplates resting on elastic foundation in thermal environments.
Optimizing the geometry of tube-in-tube Thermosyphon heat transport
The existing body of literature concerning THTD is limited, given its relatively recent emergence. In 2015, Lingade et al. [22], Elizabeth et al. [23], and Bobin et al. [24], [25] conducted initial studies at the Baba Atomic Research Centre (BARC) in Mumbai, India. These studies showcased the functionality of THTD, achieving heat removal rates of up to 500 W for a height of 1 m.
Solving Strong-Substitutes Product-Mix Auctions
This paper develops algorithms to solve strong-substitutes product-mix auctions: it finds competitive equilibrium prices and quantities for agents who use this auction's bidding language to truthfully express their strong-substitutes preferences over an arbitrary number of goods, each of which is available in multiple discrete units.
Learning to Reason with LLMs
We evaluated math performance on AIME, an exam designed to challenge the brightest high school math students in America. On the 2024 AIME exams, GPT-4o only solved on average 12% (1.8/15) of problems. o1 averaged 74% (11.1/15) with a single sample per problem, 83% (12.5/15) with consensus among 64 samples, and 93% (13.9/15) when re-ranking 1000 ...
1764 PDFs
Explore the latest full-text research PDFs, articles, conference papers, preprints and more on DESCRIPTIVE GEOMETRY. Find methods information, sources, references or conduct a literature review on ...
Measuring Mathematical Skills in Early Childhood: a ...
Successful early mathematical development is vital to children's later education, employment, and wellbeing outcomes. However, established measurement tools are infrequently used to (i) assess children's mathematical skills and (ii) identify children with or at-risk of mathematical learning difficulties. In response, this pre-registered systematic review aimed to provide an overview of ...
Research Strategy Consultation
As we work toward a world free from diabetes, we invite people with lived experience, stakeholders, researchers, clinicians and advocates to come together to shape the future of diabetes research. In this consultation paper, we seek your views on the development of Diabetes Australia's research vision, purpose, strategic goals and approach ...
Hidden Debt Revelations
In a sample of debt data covering 146 countries and 53 years, the paper establishes three new stylized facts: (i) debt statistics are systematically under-reported; (ii) hidden debt accumulates in boom years and tends to be revealed in bad times, often during IMF programs and sovereign defaults; and (iii) in debt restructurings, higher hidden ...
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Despite this, or perhaps because of it, geometry is an important component of current research in mathematics education. In the literature review, we elaborate relevant foci on the basis of ...
math.MP is an alias for math-ph. Articles in this category focus on areas of research that illustrate the application of mathematics to problems in physics, develop mathematical methods for such applications, or provide mathematically rigorous formulations of existing physical theories. Submissions to math-ph should be of interest to both ...
In order to gain insight into the actual research activities linked to geometry, an iterative process was started to identify geometry-related research topics. Step 3 of the iterative process started with an analysis of the keywords in conference papers in the period from 2017 to 2022.
As announced in the Journal Citation Report 2022 by Clarivate Analytics Journal of Geometry has achieved its first Impact Factor of 0.6.. We would like to take this opportunity to thank all the authors, reviewers, readers and editorial board members for their continuous support to the journal.
Abstract. The chapter provides a comprehensive review of recent research in geometry education, covering geometric and spatial thinking, geometric measurement, and visualization related to geometry, as well as encompassing theoretical developments and research into teaching and teacher development.
Prominent areas of current research among faculty who work in geometry include algebraic geometry, Ricci and mean curvature flows and other curvature equations, minimal surfaces and geometric measure theory, mathematical relativity, spectral geometry, geometric scattering theory, and the geometry and dynamics of the Riemann & Teichmüller ...
Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis ...
The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an ...
In the seventeenth century, Guarino Guarini, mathematician and architect, affirmed that architecture, a discipline that primarily deals with measures, relies on geometry: therefore, the architect needs to know at least its basic principles. On behalf of Guarini's words, we designed a set of interdisciplinary teaching experiences, between mathematics (via a calculus course) and drawing (via ...
Computational Geometry is a forum for research in theoretical and applied aspects of computational geometry. The journal publishes fundamental research in all areas of the subject, as well as disseminating information on the applications, techniques, and use of computational …. View full aims & scope. $2390.
The teaching of geometry is associated with the development of geometrical sense -geometrical thinking, i.e. those mental activities through which students organize and process the elements of ...
Explore the latest full-text research PDFs, articles, conference papers, preprints and more on ANALYTICAL GEOMETRY. Find methods information, sources, references or conduct a literature review on ...
Journal of Differential Geometry. The Journal of Differential Geometry (JDG) is devoted to the publication of research papers in differential geometry and related subjects such as differential equations, mathematical physics, algebraic geometry and geometric topology. Content Email Alerts notify you when new content has been published.
Ian Fleschler. Comments: To appear in the proceedings of the conference "Geometric Measure Theory and Applications", held in Cortona, 2024. The proceedings will be published in the Springer INdAM Series. Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
Algebraic Geometry is an open access journal owned by the Foundation Compositio Mathematica.The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.
Studies of students' geometric knowledge continue to form a main thrust in research on the teaching and learning of geometry, mainly based on the van Hiele model, Duval's figure apprehension framework, or other approaches related to identification of 2-D or 3-D geometric figures.
goals of this paper are threefold: (a) to present the structural elements of a coherent geometry curriculum through the lens of fundamental ideas, (b) to develop an analytical tool to determine the fundamental ideas of geometry in children's drawings, and (c) to provide insight into the images primary grade students have of geometry.
This paper introduces a visualization technique that use hyperbolic space and the WebOOGL software developed at the Geometry Center for an innovative solution to this problem. Some planar isospectral domains. by Peter Buser, John Conway, Peter Doyle, and Klaus-Dieter Semmler. This paper answers the question, ``Can you hear the shape of a drum?''.
Geometry is taught as a subject-matter in mathematics courses at elementary school level, and as an independent course at secondary school level in Turkish education system. When the success levels of students regarding these two subjects... more. View Geometry Research Papers on Academia.edu for free.
The principal areas of research in geometry involve symplectic, Riemannian, and complex manifolds, with applications to and from combinatorics, classical and quantum physics, ordinary and partial differential equations, and representation theory. Research in topology per se is currently concentrated to a large extent on the study of manifolds ...
Mathematics, Pure and Applied Math | Explore the latest full-text research PDFs, articles, conference papers, preprints and more on MATHEMATICS. Find methods information, sources, references or ...
International Mathematics Research Notices, 2014 (2014), 4341--4356 Approximations of convex bodies by polytopes and by projections of spectrahedra preprint . Explicit constructions of centrally symmetric k-neighborly polytopes and large strictly antipodal sets (with S.J. Lee and I. Novik) Discrete & Computational Geometry, 49 (2013), 429--443
The present paper introduces the development of dynamic stiffness method for analyzing small-scale sandwich functionally graded nanoplates resting on elastic foundation in thermal environments.
The existing body of literature concerning THTD is limited, given its relatively recent emergence. In 2015, Lingade et al. [22], Elizabeth et al. [23], and Bobin et al. [24], [25] conducted initial studies at the Baba Atomic Research Centre (BARC) in Mumbai, India. These studies showcased the functionality of THTD, achieving heat removal rates of up to 500 W for a height of 1 m.
This paper develops algorithms to solve strong-substitutes product-mix auctions: it finds competitive equilibrium prices and quantities for agents who use this auction's bidding language to truthfully express their strong-substitutes preferences over an arbitrary number of goods, each of which is available in multiple discrete units.
We evaluated math performance on AIME, an exam designed to challenge the brightest high school math students in America. On the 2024 AIME exams, GPT-4o only solved on average 12% (1.8/15) of problems. o1 averaged 74% (11.1/15) with a single sample per problem, 83% (12.5/15) with consensus among 64 samples, and 93% (13.9/15) when re-ranking 1000 ...
Explore the latest full-text research PDFs, articles, conference papers, preprints and more on DESCRIPTIVE GEOMETRY. Find methods information, sources, references or conduct a literature review on ...
Successful early mathematical development is vital to children's later education, employment, and wellbeing outcomes. However, established measurement tools are infrequently used to (i) assess children's mathematical skills and (ii) identify children with or at-risk of mathematical learning difficulties. In response, this pre-registered systematic review aimed to provide an overview of ...
As we work toward a world free from diabetes, we invite people with lived experience, stakeholders, researchers, clinicians and advocates to come together to shape the future of diabetes research. In this consultation paper, we seek your views on the development of Diabetes Australia's research vision, purpose, strategic goals and approach ...
In a sample of debt data covering 146 countries and 53 years, the paper establishes three new stylized facts: (i) debt statistics are systematically under-reported; (ii) hidden debt accumulates in boom years and tends to be revealed in bad times, often during IMF programs and sovereign defaults; and (iii) in debt restructurings, higher hidden ...