Academic literature on the topic 'Mathematics in nature'

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Journal articles on the topic "Mathematics in nature"

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Sibley, Amanda, and Terri L. Kurz. "Exploring nature through mathematics." Teaching Children Mathematics 20, no. 1 (2013): 16–17. http://dx.doi.org/10.5951/teacchilmath.20.1.0016.

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Math by the Month is a regular department of the journal, featuring collections of short activities focused on a monthly theme. These articles aim for an inquiry or problem-solving orientation that includes at least four activities each for grade bands K–2, 3–4, and 5–6. In the current issue, mathematics is visible where we least expect it. The use of mathematics gives us a more fruitful understanding of Earth, its animals, and scientific processes. We use math to forecast environmental changes, predict future events, and decide when intervention is necessary to protect the survival of species
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Drukker, M. L., and Karl J. Smith. "The Nature of Mathematics." Mathematical Gazette 72, no. 459 (1988): 80. http://dx.doi.org/10.2307/3618031.

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Sklar, Lawrence. "The Language of Nature is Mathematics-But Which Mathematics? And What Nature?" Proceedings of the Aristotelian Society 98, no. 3 (1998): 241–61. http://dx.doi.org/10.1111/1467-9264.00036.

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Barahmand, Ali. "The Frankensteinian Nature of Mathematics." Journal of Humanistic Mathematics 14, no. 1 (2024): 239–47. http://dx.doi.org/10.5642/jhummath.jmow1622.

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Millroy, Wendy L. "Exploring the Nature of Street Mathematics." Journal for Research in Mathematics Education 25, no. 3 (1994): 304–9. http://dx.doi.org/10.5951/jresematheduc.25.3.0304.

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For many years, mathematics education researchers have been fascinated by the mathematics that is generated and used outside of institutions of learning. This is the mathematics that allows unschooled and sometimes illiterate people to practice crafts and trades, conduct business transactions, and make their livings in a variety of ways that depend on knowledge of what we call mathematics.
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Sullivan, Sian, and Mike Hannis. "“Mathematics maybe, but not money”." Accounting, Auditing & Accountability Journal 30, no. 7 (2017): 1459–80. http://dx.doi.org/10.1108/aaaj-06-2017-2963.

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Purpose The purpose of this paper is to consider and compare different ways of using numbers to value aspects of nature-beyond-the-human through case analysis of ecological and natural capital accounting practices in the UK that create standardised numerical-economic values for beyond-human natures. In addition, to contrast underlying ontological and ethical assumptions of these arithmetical approaches in ecological accounting with those associated with Pythagorean nature-numbering practices and fractal geometry. In doing so, to draw out distinctions between arithmetical and geometrical ontolo
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Ash, Christopher, and J. N. Kapur. "Fascinating World of Mathematical Sciences: Vol. 1: The Nature of Mathematics." Mathematical Gazette 74, no. 468 (1990): 209. http://dx.doi.org/10.2307/3619417.

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Hembree, Ray. "The Nature, Effects, and Relief of Mathematics Anxiety." Journal for Research in Mathematics Education 21, no. 1 (1990): 33–46. http://dx.doi.org/10.5951/jresematheduc.21.1.0033.

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Results of 151 studies were integrated by meta-analysis to scrutinize the construct mathematics anxiety. Mathematics anxiety is related to poor performance on mathematics achievement tests. It relates inversely to positive attitudes toward mathematics and is bound directly to avoidance of the subject. Variables that exhibit differential mathematics anxiety levels include ability, school grade level, and undergraduate fields of study, with preservice arithmetic teachers especially prone to mathematics anxiety. Females display higher levels than males. However, mathematics anxiety appears more s
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Baylis, John, and Donald M. Davis. "The Nature and Power of Mathematics." Mathematical Gazette 79, no. 484 (1995): 152. http://dx.doi.org/10.2307/3620030.

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Elescandarany, Ahmad W. Y. "Kugel ball nature: hydrodynamics-mathematics-design." Applications in Engineering Science 9 (March 2022): 100078. http://dx.doi.org/10.1016/j.apples.2021.100078.

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Dissertations / Theses on the topic "Mathematics in nature"

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Anglin, William Sherron Raymond. "The nature of solutions in mathematics /." Thesis, McGill University, 1987. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=72100.

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What constitutes an adequate solution to a mathematical problem? When is an adequate solution a 'good' solution? In this thesis I consider these questions in relation to two Diophantine equations, namely, x$ sp2$ + k = y$ sp3$ and 6y$ sp2$ = x(x + 1)(2x + 1). The first dates back to Diophantus himself (c. 250 AD) while the second can be traced to a puzzle proposed by Edouard Lucas in 1875. Each of these equations has attracted a number of solutions and each solution reveals something about its era. An examination and comparison of these solutions will give us an opportunity to reflect on some
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Pair, Jeffrey David. "The Nature of Mathematics| A Heuristic Inquiry." Thesis, Middle Tennessee State University, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10287185.

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<p> What is mathematics? What does it mean to be a mathematician? What should students understand about the nature of mathematical knowledge and inquiry? Research in the field of mathematics education has found that students often have na&iuml;ve views about the nature of mathematics. Some believe that mathematics is a body of unchanging knowledge, a collection of arbitrary rules and procedures that must be memorized. Mathematics is seen as an impersonal and uncreative subject. To combat the na&iuml;ve view, we need a humanistic vision and explicit goals for what we hope students understand ab
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Posthuma, Anna Barbara. "The nature of mathematics teachers’ reflective practice." Thesis, University of Pretoria, 2011. http://hdl.handle.net/2263/24143.

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Thoughts about reflection and reflective practice have evolved over many decades, through carefully constructed theory and research applications, mainly based on the work of Dewey (1933) and Schön (1983). Evidence also exists in the literature that the ability to reflect on practice is considered a necessity for effective instruction (Sowder, 2007). By reflecting critically teachers become more positive in the search for a new understanding of their teaching practice and design more ways to deal with the challenges that confront them daily. When teachers act reflectively, they consider careful
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Wong, Yue-tak. "The nature of mathematical knowledge : a phenomenological review and it's implications on mathematics education /." Hong Kong : University of Hong Kong, 1998. http://sunzi.lib.hku.hk/hkuto/record.jsp?B20545514.

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黃裕德 and Yue-tak Wong. "The nature of mathematical knowledge: a phenomenological review and it's implications on mathematics education." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B3196056X.

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Wakhungu, Henry K. "Pre-service elementary teachers' beliefs and conceptions about the nature of mathematics and mathematics learning." [Bloomington, Ind.] : Indiana University, 2005. http://wwwlib.umi.com/dissertations/fullcit/3159910.

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Thesis (Ph.D.)--Indiana University, School of Education, 2005.<br>Source: Dissertation Abstracts International, Volume: 66-01, Section: A, page: 0123. Adviser: Peter W. Kloosterman. Title from dissertation home page (viewed Oct. 11, 2006)
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Lerman, Stephen. "Alternative views of the nature of mathematics and their possible influence on the teaching of mathematics /." Thesis, Online version, 1986. http://ethos.bl.uk/OrderDetails.do?did=1&uin=uk.bl.ethos.320884.

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Brechin-Harrison, Elizabeth P. "Examining Roberts County mathematics teachers' beliefs regarding the nature of mathematics and their classroom learning environment." Click here to access dissertation, 2008. http://www.georgiasouthern.edu/etd/archive/summer2008/elizabeth_p_brechin/Brechin-Harrison_Elizabeth_P_200805_edd.pdf.

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Thesis (Ed.D.)--Georgia Southern University, 2008.<br>"A dissertation submitted to the Graduate Faculty of Georgia Southern University in partial fulfillment of the requirements for the degree Doctor of Education." Under the direction of Gregory Chamblee. ETD. Electronic version approved: July 2008. Includes bibliographical references (p. 160-178) and appendices.
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Welna, B. "The nature of errors and their significance for learning and teaching mathematics." Thesis, Welna, B. (1999) The nature of errors and their significance for learning and teaching mathematics. PhD thesis, Murdoch University, 1999. https://researchrepository.murdoch.edu.au/id/eprint/51527/.

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This dissertation is a study of the nature of errors and their potential significance for learning and teaching mathematics. It is consistent with the new positive attitudes towards errors, suggesting that errors are a natural occurrence of all learning, rather than an indication of inadequacy. The general method of this inquiry involves a conceptual analysis. The analysis draws upon a substantial body of literature in mathematics education and other related disciplines, and uses secondary data sources comprising empirical and analytical research on students’ mathematical errors. These literat
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Leibfritz, William E. "The influence of knowledge about the nature of mathematics anxiety on the level of mathematics anxiety for elementary preservice teachers /." The Ohio State University, 1990. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487683049377302.

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Books on the topic "Mathematics in nature"

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Michael, Jacob. The nature of mathematics and the mathematics of nature. Elsevier, 1998.

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Smith, Karl J. The nature of mathematics. 7th ed. Brooks/Cole Pub. Co., 1995.

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Smith, Karl J. The nature of mathematics. 6th ed. Brooks/Cole Pub. Co., 1991.

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Smith, Karl J. The nature of mathematics. Wadsworth Cengage Learning, 2012.

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Smith, Karl J. The nature of mathematics. Thomson/Brooks/Cole, 2004.

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Davis, Donald M. The nature and powerof mathematics. Princeton University Press, 1993.

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Roy, Jennifer Rozines. Patterns in nature. Marshall Cavendish Benchmark, 2005.

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Davis, Donald M. The nature and power of mathematics. Dover Publications, 2004.

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Alaina, Maria. Patterns in nature. Capstone Press, 2012.

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Hildebrandt, Stefan. Mathematics and optimal form. Scientific American Library, 1985.

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Book chapters on the topic "Mathematics in nature"

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Ravn, Ole, and Ole Skovsmose. "Mathematics in Nature." In Connecting Humans to Equations. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-01337-0_2.

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Hughes, Anton. "The nature of mathematics." In The Patentability of Software. Routledge, 2019. http://dx.doi.org/10.4324/9781315283210-4.

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Lawson, Mark V. "The Nature of Mathematics." In Algebra & Geometry, 2nd ed. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003098072-2.

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Bayın, Selçuk Ş. "Mathematics, Physics, and Nature." In The Pursuit of Reality. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-1031-1_14.

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Macheras, Panos, and Athanassios Iliadis. "The Geometry of Nature." In Interdisciplinary Applied Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27598-7_1.

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Farmaki, Vassiliki, and Stelios Negrepontis. "The paradoxical nature of mathematics." In Topology and Geometry. European Mathematical Society Publishing House, 2021. http://dx.doi.org/10.4171/irma/33-1/27.

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Toni, Bourama. "Introduction: Nature and Its Mathematics." In STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-84596-4_1.

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Petry, M. J. "Hemsterhuis on Mathematics and Optics." In The Light of Nature. Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5119-8_14.

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Fischbein, Efraim. "The Psychological Nature of Concepts." In Mathematics Education Library. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-2211-7_5.

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Mittelstaedt, Peter, and Paul A. Weingartner. "Are the Laws of Mathematics Laws of Nature?" In Laws of Nature. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/3-540-28303-x_5.

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Conference papers on the topic "Mathematics in nature"

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Morandi, F., E. B. P. Tiezzi, and R. M. Pulselli. "Mathematics and music: the architecture of nature." In DESIGN AND NATURE 2010. WIT Press, 2010. http://dx.doi.org/10.2495/dn100011.

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Haldorsen, H. H., P. J. Brand, and C. J. Macdonald. "Review of the Stochastic Nature of Reservoirs." In Mathematics in Oil Production. European Association of Geoscientists & Engineers, 1987. http://dx.doi.org/10.3997/2214-4609-pdb.235.004.

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Lev, Felix. "Obtaining Information about Nature with Finite Mathematics." In IS4SI 2021. MDPI, 2021. http://dx.doi.org/10.3390/proceedings2022081008.

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Morita, Kenji, Rita Kalra, Kazuyuki Aihara, et al. "Exploring the Nature of Cortical Recurrent Interactions." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637869.

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HEEFFER, ALBRECHT. "ON THE NATURE AND ORIGIN OF ALGEBRAIC SYMBOLISM." In Essays in Philosophy and History of Mathematics. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812812230_0001.

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MANDELBROT, BENOIT B. "SELECTED TOPICS IN MATHEMATICS, PHYSICS, AND FINANCE ORIGINATING IN FRACTAL GEOMETRY." In Fractals and Related Phenomena in Nature. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702746_0001.

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Sherard, Maximilian. "“It Is Too Perfect for Nature”: Exploring Discussions About the Relationship Between Nature and Mathematics." In 2024 AERA Annual Meeting. AERA, 2024. http://dx.doi.org/10.3102/2109955.

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Hutasuhut, Riska Fadhilah, and Djukri. "Environmental literacy profile of nature tourism parks for students." In FRONTIERS IN INDUSTRIAL AND APPLIED MATHEMATICS: FIAM2022. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0134166.

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Rasool, Abeer M. Abdel, and Isam Hamo Mahmood. "Metformin’s antioxidant activity and protective nature." In 2ND INTERNATIONAL CONFERENCE OF MATHEMATICS, APPLIED SCIENCES, INFORMATION AND COMMUNICATION TECHNOLOGY. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0164411.

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Mainzer, Klaus. "The cause of complexity in nature: An analytical and computational approach." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756213.

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Reports on the topic "Mathematics in nature"

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Ловьянова, И. В. Математическая деятельность старшеклассников как специфический вид учебной деятельности. [б. в.], 2013. http://dx.doi.org/10.31812/0564/2385.

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In this article the learning of mathematics is seen as a mathematical training activities. The author describes the features of educational activity: characteristics, psychological content, structure. Determine the nature of mathematical activity and her specifics in senior profile school.
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Hickman McMahon, Lauren, Stefani Pautz Stephenson, and Seth Corrigan. The Promise of Digital Math Tools for Universally Accessible Mathematics Instruction. Digital Promise, 2024. http://dx.doi.org/10.51388/20.500.12265/211.

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In this report, we share insights from a Research-Practice-Industry Partnership (RPIP) that explored mathematics instructional practices with support of digital mathematics tools. RPIPs bring together researchers, practitioners, and product developers, with each party having an equal voice, in a rapid-cycle model for edtech research and development. We framed this RPIP using the principles of Universal Design for Learning (UDL): provide multiple means of Engagement, Representation, and Action &amp; Expression. These principles support learner variability, improve accessibility, and are closely
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Wei, Xin, Amanda Wortman, Cristina Heffernan, et al. Language and Mathematics Learning: A Comparative Study of Digital Learning Platforms. SEERNet, Digital Promise, 2024. http://dx.doi.org/10.51388/20.500.12265/206.

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This paper presents a conceptual exploration of how Digital Learning Platforms (DLPs) can be utilized to investigate the impact of language clarity, precision, engagement, and contextual relevance on mathematics learning from word problems. Focusing on three distinct DLPs—ASSISTments/E-TRIALS, MATHia/UpGrade, and Canvas/Terracotta—we propose hypothetical studies aimed at uncovering how nuanced language modifications can enhance mathematical understanding and engagement. While these studies are illustrative in nature, they provide a blueprint for researchers interested in leveraging DLPs for em
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Astafieva, Mariia M., Oleksii B. Zhyltsov, and Volodymyr V. Proshkin. E-learning as a mean of forming students' mathematical competence in a research-oriented educational process. [б. в.], 2020. http://dx.doi.org/10.31812/123456789/3896.

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The article is devoted to the substantiation of approaches to the effective use of advantages and minimization of disadvantages and losses of e-learning as a mean of forming mathematical competence of students in the conditions of research-oriented educational process. As a result of the ascertaining experiment, e-learning has certain disadvantages besides its obvious advantages (adaptability, possibility of individualization, absence of geographical barriers, ensuring social equality, unlimited number of listeners, etc.). However, the nature of these drawbacks lies not as much in the plane of
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Bilous, Vladyslav V., Volodymyr V. Proshkin, and Oksana S. Lytvyn. Development of AR-applications as a promising area of research for students. [б. в.], 2020. http://dx.doi.org/10.31812/123456789/4409.

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The article substantiates the importance of using augmented reality in the educational process, in particular, in the study of natural and mathematical disciplines. The essence of AR (augmented reality), characteristics of AR hardware and software, directions and advantages of using AR in the educational process are outlined. It has proven that AR is a unique tool that allows educators to teach the new digital generation in a readable, comprehensible, memorable and memorable format, which is the basis for developing a strong interest in learning. Presented the results of the international stud
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Pritchett, Lant, Kirsty Newman, and Jason Silberstein. Focus to Flourish: Five Actions to Accelerate Progress in Learning. Research on Improving Systems of Education (RISE), 2022. http://dx.doi.org/10.35489/bsg-rise-misc_2022/07.

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There is a severe global learning crisis. While nearly all children start school, far too many do not learn even the most foundational skills of reading, writing, and basic mathematics during the years they spend there. The urgent need to address this crisis requires no elaborate reasoning. If one starts with love for a child, a human universal, it is easy to see that in the modern world a child’s dignity, self-worth, and freedom to define their own destiny require an adequate education. An adequate education is what will then enable that child to lead a full adult life as a parent, community
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Näslund-Hadley, Emma. Numeracy Education in Latin America and the Caribbean: Summary Report. Inter-American Development Bank, 2010. http://dx.doi.org/10.18235/0005981.

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On June 7, 2010, the Inter-American Development Bank (IDB) hosted an expert seminar in Washington DC entitled "An Even Start: Numeracy Education in Latin America and the Caribbean." The seminar aimed to share some of the initiatives implemented under the IDB's Numeracy initiative, which is focused on implementing policies to help children reach their full potential in mathematics and the natural science.
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Johnny, Teneisha, and Mark D. Wenner. Tourism and Ecotourism Development in Guyana: Issues and Challenges and the Critical Path Forward. Inter-American Development Bank, 2015. http://dx.doi.org/10.18235/0009267.

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Guyana has high potential to develop a nature-based tourist niche market and help diversify its economic base, which now depends on the export of primary commodities. Despite many natural attractions, Guyana is still at a nascent stage of nature-based development relying on primary factors for tourism development as opposed to thorough planning, focused investments, and aggressive marketing efforts. Other segments of traditional tourism development such as business and leisure also are undeveloped and little studied. The tourism sector in general faces many constraints, such as high air travel
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Valverde, Gilbert, and Emma Näslund-Hadley. The State of Numeracy Education in Latin America and the Caribbean. Inter-American Development Bank, 2010. http://dx.doi.org/10.18235/0008690.

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Through this review we have sought to further understanding of the state of preprimary, primary, and secondary numeracy education in Latin America and the Caribbean (LAC). Research on the opportunities available to students in the region presents a troubling picture. Young people are not being properly prepared for the numeracy requirements of an increasingly interconnected world economy. Culprits include weak curricula, inadequate learning materials, and teachers¿ lack of proficiency in mathematics and the natural sciences.
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Näslund-Hadley, Emma. An Equal Start: Numeracy Education in Latin America and the Caribbean. Inter-American Development Bank, 2010. http://dx.doi.org/10.18235/0005962.

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This art exhibit, held at IDB's headquarters on June 7-11, 2010, embodies the hope and aspiration that all students will gain a level of numeracy essential for successful participation in school, work and everyday life. The artworks on exhibit were selected from over 250 pieces submitted by artists representing nineteen Latin American and Caribbean countries. The exhibition constitutes the visual launch of a new IDB effort focused on implementing policies that help children reach their full potential in mathematics and natural science.
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