Relevant bibliographies by topics / MATHEMATICS / Algebra / Elementary

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'MATHEMATICS / Algebra / Elementary'

Author: Grafiati
Published: 29 July 2024
Last updated: 31 July 2025

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Journal articles on the topic "MATHEMATICS / Algebra / Elementary"

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Parajuli, Krishna Kanta. "Elementary Algebra on Vedic Mathematics." Mathematics Education Forum Chitwan 6, no. 6 (2021): 82–94. http://dx.doi.org/10.3126/mefc.v6i6.42410.

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The South Asian region has a long history of discovering new ideas, ideologies, and technologies. Since the Vedic period, the land has been known as a fertile place for innovative discoveries. The Vedic technique used by Bharati Krishna Tirthaji is unique among South Asian studies. The focus of this study was mostly on algebraic topics, which are typically taught in our school level. The study also looked at how Vedic Mathematics solves issues of elementary algebra using Vedic techniques such as Paravartya Yojayet, Sunyam Samyasamuccaye, Anurupye Sunyamanyat, Antyayoreva and Lopanasthapanabhya
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Mathieu, Martin. "Elementary operators on prime C*-algebras II." Glasgow Mathematical Journal 30, no. 3 (1988): 275–84. http://dx.doi.org/10.1017/s0017089500007369.

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Compact elementary operators acting on the algebra ℒ(H) of all bounded operators on some Hilbert space H were characterised by Fong and Sourour in [9]. Akemann and Wright investigated compact and weakly compact derivations on C*-algebras [1], and also studied compactness properties of the sum and the product of the right and the left regular representation of an element in a C*-algebra [2]. They used the concept of a compact Banach algebra element due to Vala [17]: an element a in a Banach algebra A is called compact if the mapping x → axa is compact on A. This notion has been further investig
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Timoney, Richard M. "AN INTERNAL CHARACTERIZATION OF COMPLETE POSITIVITY FOR ELEMENTARY OPERATORS." Proceedings of the Edinburgh Mathematical Society 45, no. 2 (2002): 285–300. http://dx.doi.org/10.1017/s0013091500000687.

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AbstractComplete positivity of ‘atomically extensible’ bounded linear operators between $C^*$-algebras is characterized in terms of positivity of a bilinear form on certain finite-rank operators. In the case of an elementary operator on a $C^*$-algebra, the approach leads us to characterize k-positivity of the operator in terms of positivity of a quadratic form on a subset of the dual space of the algebra and in terms of a certain inequality involving factorial states of finite type I.As an application we characterize those $C^*$-algebras where every k-positive elementary operator on the algeb
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Tasic, Milan, Predrag Stanimirovic, Ivan Stanimirovic, Marko Petkovic, and Nebojsa Stojkovic. "Some useful MATHEMATICA teaching examples." Facta universitatis - series: Electronics and Energetics 18, no. 2 (2005): 329–44. http://dx.doi.org/10.2298/fuee0502329t.

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We show how a computer algebra system in MATHEMATICA can be used in several elementary courses in mathematics for students. We have also developed an application in programming language DELPHI for testing students in MATHEMATICA.
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Bernau, S. J., and C. B. Huijsmans. "Almost f-algebras and d-algebras." Mathematical Proceedings of the Cambridge Philosophical Society 107, no. 2 (1990): 287–308. http://dx.doi.org/10.1017/s0305004100068560.

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In this paper we study the classes of almost f-algebras and d-algebras. Apart from a survey of known properties we present some ‘new’ properties of almost f-algebras and d-algebras and we consider their connection with f-algebras. To be more precise, we show, among other things, in an elementary intrinsic manner, that every Archimedean almost f-algebra is commutative. This result is a considerable improvement upon the fact that every Archimedean f-algebra is commutative. Furthermore, we give a description of the set of nilpotent elements in both an Archimedean d-algebra and an Archimedean almo
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Magajna, Bojan. "Uniform approximation by elementary operators." Proceedings of the Edinburgh Mathematical Society 52, no. 3 (2009): 731–49. http://dx.doi.org/10.1017/s0013091507001290.

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AbstractOn a separable C*-algebra A every (completely) bounded map which preserves closed two-sided ideals can be approximated uniformly by elementary operators if and only if A is a finite direct sum of C*-algebras of continuous sections vanishing at ∞ of locally trivial C*-bundles of finite type.
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Chrastina, Jan. "From elementary algebra to Bäcklund transformations." Czechoslovak Mathematical Journal 40, no. 2 (1990): 239–57. http://dx.doi.org/10.21136/cmj.1990.102378.

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Earnest, Darrell, and Aadina A. Balti. "Instructional Strategies for Teaching Algebra in Elementary School: Findings from a Research-Practice Collaboration." Teaching Children Mathematics 14, no. 9 (2008): 518–22. http://dx.doi.org/10.5951/tcm.14.9.0518.

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Incorporating algebra into the elementary grades has become a focus for teachers, principals, and administrators around the country. Algebra is commonly regarded as a gateway to future opportunity (e.g., Moses and Cobb 2001), and elementary mathematics standards at both the state and national levels now reflect this effort to provide students with opportunities to learn critical concepts before middle and high school (California Department of Education 1997; NCTM 2000). However, implementing algebra standards at the elementary level is challenging—how do mathematics educators effectively and m
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Bains, R. "Elementary linear algebra." Engineering Analysis with Boundary Elements 9, no. 4 (1992): 368. http://dx.doi.org/10.1016/0955-7997(92)90033-4.

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Bay-Williams, Jennifer M. "Principles and Standards: What is Algebra in Elementary School." Teaching Children Mathematics 8, no. 4 (2001): 196–200. http://dx.doi.org/10.5951/tcm.8.4.0196.

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Patterns have long been part of early mathematics experiences. The K–4 Patterns and Relationships Standard in Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) was replaced in Principles and Standards for School Mathematics (NCTM 2000) with a K–12 Algebra Standard. This Standard encompasses patterns, functions, and some topics that are beyond what traditionally was considered to be algebra. However, the word algebra, often associated with content covered in a traditional middle school or high school course, can evoke feelings of anxiety and raise questions of appropriatene
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Dissertations / Theses on the topic "MATHEMATICS / Algebra / Elementary"

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Kersaint, Gladis Swafford Jane. "Preservice elementary teachers' ability to generalize functional relationships the impact of two versions of a mathematics content course /." Normal, Ill. Illinois State University, 1998. http://wwwlib.umi.com/cr/ilstu/fullcit?p9835911.

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Thesis (Ph. D.)--Illinois State University, 1998.<br>Title from title page screen, viewed July 5, 2006. Dissertation Committee: Jane O. Swafford (chair), John A. Dossey, Cheryl Hawker, Cynthia W. Langrall. Includes bibliographical references (leaves 142-158) and abstract. Also available in print.
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Kaplan, Merve. "Pre-service Elementary Mathematics Teachers." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12613176/index.pdf.

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Mathematics education could and should benefit from technology in order to improve teaching and learning, particularly in topics where visualizations and connections to other concepts are needed. Handheld technologies such as graphing calculators can provide students with visualization, confirmation and exploration of problems and concepts they are learning. Handheld graphing technologies have been taken place widely in elementary and secondary level mathematics courses and considered to be beneficial in various means in mathematics education. Mathematics teachers have a crucial role in the us
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Davis, Ann. "So I'm done because I'm confused now measuring metacognition in elementary algebra community college students /." Diss., Restricted to subscribing institutions, 2009. http://proquest.umi.com/pqdweb?did=2026651711&sid=4&Fmt=2&clientId=1564&RQT=309&VName=PQD.

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Benitez, Dehlly Porras. "A learning guide to improve reading of mathematics : a case study with college remedial students in elementary algebra /." Access Digital Full Text version, 1987. http://pocketknowledge.tc.columbia.edu/home.php/bybib/10732275.

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Afonso, Dominique Gabriala. "The development of algebraic thinking in the foundation phase: a comparative study of two different curricula." Thesis, Cape Peninsula University of Technology, 2019. http://hdl.handle.net/20.500.11838/2864.

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Thesis (MEd)--Cape Peninsula University of Technology, 2019.<br>The mathematics results in South Africa are alarmingly low, with a number of high school learners unable to compute basic operations. International test results show South Africa consistently ranks low in comparison to other countries whilst Singapore continues to perform well. Some schools in South Africa have decided to adopt the Singaporean method of teaching mathematics, known as Singapore Maths, in the hope of improving learner results. This study seeks to understand how two different curricula, South African and Singapore, p
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Ledbetter, Lissa S. "A Qualitative Content Analysis of Early Algebra Education iOS Apps for Primary Children." Scholar Commons, 2017. http://scholarcommons.usf.edu/etd/6884.

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Educational software applications (apps) on multi-touch, mobile devices provide a promising space to help learners work toward long-term educational goals, like learning with understanding (Bransford, Brown, & Cocking, 2000). Such goals are particularly relevant in supporting a learner’s efforts to become more mathematically literate. Yet, a number of current apps do not appear to be living up to this potential. As such, this study drew upon the theoretical framework of Learning Science and the conceptual framework of TPACK theory (Mishra & Koehler, 2006) to define curricular characteristics t
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Kahn, Eric B. "THE GENERALIZED BURNSIDE AND REPRESENTATION RINGS." UKnowledge, 2009. http://uknowledge.uky.edu/gradschool_diss/707.

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Making use of linear and homological algebra techniques we study the linearization map between the generalized Burnside and rational representation rings of a group G. For groups G and H, the generalized Burnside ring is the Grothendieck construction of the semiring of G × H-sets with a free H-action. The generalized representation ring is the Grothendieck construction of the semiring of rational G×H-modules that are free as rational H-modules. The canonical map between these two rings mapping the isomorphism class of a G-set X to the class of its permutation module is known as the linearizati
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Howard, Nicol R. "The Influences of Mathematics Self-Efficacy, Identity, Interest, and Parental Involvement on STEM Achievement in Algebra for Female High School Students." Chapman University Digital Commons, 2015. http://digitalcommons.chapman.edu/ces_dissertations/2.

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The purpose of this study was to determine the predictability of STEM achievement in Algebra for female high school students utilizing mathematics self-efficacy, mathematics interest, mathematics identity, and parental involvement. This study employed data from the High School Longitudinal Study of 2009 (HSLS:09/12) which consisted of 3,938 female eleventh-grade participants randomly selected from 944 public and private high schools during the fall 2009 academic year. The results of a hierarchical multiple regression indicated that mathematics identity was the strongest predictor of STEM achie
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Figueiredo, Auriluci de Carvalho. "Saberes e concepções de educação algébrica em um curso de licenciatura em matemática." Pontifícia Universidade Católica de São Paulo, 2007. https://tede2.pucsp.br/handle/handle/11255.

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Made available in DSpace on 2016-04-27T16:58:27Z (GMT). No. of bitstreams: 1 Auriluci de Carvalho Figueiredo.pdf: 2619499 bytes, checksum: 2241abfdd5ba4c51913e0a7fd05a58bd (MD5) Previous issue date: 2007-10-29<br>Centro Federal de Educação Tecnológica de São Paulo<br>Investigations have shown that difficulties experienced by students when dealing with topics of Algebra, across a range of schooling levels, may be rooted in certain conceptions of Algebra Education, either their own or those held by their teachers. These conceptions provide the basis for knowings held by teachers and students
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Lima, José Roberto de Campos. "Pensamento algébrico no currículo do ciclo de alfabetização: estudo comparativo de duas propostas." Pontifícia Universidade Católica de São Paulo, 2018. https://tede2.pucsp.br/handle/handle/21287.

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Submitted by Filipe dos Santos (fsantos@pucsp.br) on 2018-07-30T12:24:34Z No. of bitstreams: 1 José Roberto de Campos Lima.pdf: 798464 bytes, checksum: 390e74f72d58fa99f1dec2d73f258409 (MD5)<br>Made available in DSpace on 2018-07-30T12:24:34Z (GMT). No. of bitstreams: 1 José Roberto de Campos Lima.pdf: 798464 bytes, checksum: 390e74f72d58fa99f1dec2d73f258409 (MD5) Previous issue date: 2018-04-09<br>In this paper, we present a qualitative research guided by the goal of investigating what the approach given to algebraic thinking in the prescribed curriculum of literacy cycle, which refers
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Books on the topic "MATHEMATICS / Algebra / Elementary"

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Tom, Carson. Elementary algebra. 3rd ed. Pearson Education, 2011.

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Barnett, Raymond A. Mathematics, elementary algebra 2000. McGraw-Hill Primis, 2000.

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Barnett, Raymond A. Mathematics, elementary algebra 2000. McGraw-Hill Primis, 2000.

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P, Hostetler Robert, and Heyd David E, eds. Elementary algebra. D.C. Heath and Co., 1992.

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Ron, Larson. Elementary algebra. 3rd ed. Houghton Mifflin, 2001.

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Barker, Jack. Elementary algebra. 2nd ed. Saunders College Pub., 1992.

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Ron, Larson. Elementary algebra. 4th ed. Houghton Mifflin Co., 2005.

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Barker, Jack. Elementary algebra. 2nd ed. Saunders College Pub., 1992.

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P, Hostetler Robert, ed. Elementary algebra. 2nd ed. D.C. Heath, 1996.

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Tom, Carson. Elementary & intermediate algebra. 3rd ed. Pearson Education, 2011.

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Book chapters on the topic "MATHEMATICS / Algebra / Elementary"

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Mignotte, Maurice. "Elementary Arithmetics." In Mathematics for Computer Algebra. Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4613-9171-5_1.

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Holden, K., and A. W. Pearson. "Elementary Matrix Algebra." In Introductory Mathematics for Economics and Business. Macmillan Education UK, 1992. http://dx.doi.org/10.1007/978-1-349-22357-2_2.

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Serre, Denis. "Elementary Linear and Multilinear Algebra." In Graduate Texts in Mathematics. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7683-3_1.

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Cooperman, Gene, and George Havas. "Elementary algebra revisited: Randomized algorithms." In DIMACS Series in Discrete Mathematics and Theoretical Computer Science. American Mathematical Society, 1998. http://dx.doi.org/10.1090/dimacs/043/03.

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Watanabe, Tad. "Shiki: A Critical Foundation for School Algebra in Japanese Elementary School Mathematics." In Early Algebraization. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-17735-4_7.

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Zhou, Da, Jinqing Liu, Qian Wu, Qingqing Ye, and Jian Liu. "Opportunities to Learn Reasoning and Proving in the Algebra of NCM Mathematics Textbooks." In Recent Advances in Mathematics Textbook Research and Development. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-8426-4_5.

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AbstractMathematics textbooks play an essential role in providing students with learning opportunities for reasoning and proving (RP). Researchers showed that tasks used by teachers were directly related to those provided by mathematics textbooks. Yet, little is known about the learning opportunities offered by elementary textbooks for students to learn RP in China. This study analyzed six volumes of New Century Mathematics (NCM) textbooks, focusing on RP’s opportunities in written tasks based on a revised analytical framework. The results showed that the textbooks we analyzed in this study pr
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Grugeon-Allys, Brigitte, Françoise Chenevotot-Quentin, Julia Pilet, and Dominique Prévit. "Online Automated Assessment and Student Learning: The PEPITE Project in Elementary Algebra." In Uses of Technology in Primary and Secondary Mathematics Education. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76575-4_13.

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Beutelspacher, Albrecht, Rainer Danckwerts, Gregor Nickel, Susanne Spies, and Gabriele Wickel. "Elementare Geometrie und Algebra." In Mathematik Neu Denken. Vieweg+Teubner Verlag, 2011. http://dx.doi.org/10.1007/978-3-8348-8250-9_7.

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Mescher, Stephan. "Elementare lineare Algebra." In Überblickswissen Mathematik - Ein Crashkurs für Studierende anderer Fächer. Springer Berlin Heidelberg, 2025. https://doi.org/10.1007/978-3-662-70898-9_3.

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Hilgert, Joachim, and Karl-Hermann Neeb. "Elementary Structure Theory of Lie Algebras." In Springer Monographs in Mathematics. Springer New York, 2012. http://dx.doi.org/10.1007/978-0-387-84794-8_5.

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Conference papers on the topic "MATHEMATICS / Algebra / Elementary"

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Tedesco, Carolina Colombo, John R. Kitchin, and Carl D. Laird. "A Computational Framework for Cyclic Steady-State Simulation of Dynamic Catalysis Systems: Application to Ammonia Synthesis." In The 35th European Symposium on Computer Aided Process Engineering. PSE Press, 2025. https://doi.org/10.69997/sct.105384.

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Dynamic or Programmable Catalysis is an innovative strategy to improve heterogeneous catalysis processes by modulating the binding energies (BE) of adsorbates on a catalytic surface. The technique enables the periodic favoring of different reaction steps, overcoming limitations imposed by the Sabatier Principle and allowing for higher overall reaction rates, otherwise unattainable. Previously, we implemented a simultaneous simulation approach using the algebraic modeling language Pyomo and the solver IPOPT to obtain cyclic steady state results for a unimolecular reactive system with up to four
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Syarifuddin, Hendra, and Mr I Made Arnawa. "Development of Electronic Learning Tools to Improve the Quality of Elementary Linear Algebra Course." In University of Muhammadiyah Malang's 1st International Conference of Mathematics Education (INCOMED 2017). Atlantis Press, 2018. http://dx.doi.org/10.2991/incomed-17.2018.10.

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Mihajlov Carević, Miroslava, Milena J. Petrović, and Nebojša Denić. "MODERN TEACHING TECHNOLOGIES AND DEVELOPING CONSTRUCTIVE THINKING." In 4th International Scientific Conference – EMAN 2020 – Economics and Management: How to Cope With Disrupted Times. Association of Economists and Managers of the Balkans, Belgrade, Serbia, 2020. http://dx.doi.org/10.31410/eman.s.p.2020.147.

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Numerous researches in the previous period have shown the effectiveness of mathematical learning with the use of information and communication technologies (ICT) and mathematical software packages. Also, through theoretical studies and research results, the quality of mathematics teaching in schools was examined. The results of the research of the authors of this paper showed the lack of a visual-logical approach in solving mathematical problems. Primary and secondary school students are primarily trained in mastering formulas and algebraic procedures that help them solve a given task. In orde
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Scharfenberger, Adam, and Leah M. Frazee. "Elementary Algebraic thinking with patterns in two variables." In 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. PMENA, 2020. http://dx.doi.org/10.51272/pmena.42.2020-46.

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Murni, Dewi, and Helma. "Validity and practicality of elementary linear algebra teaching materials based REACT to improve mathematical communication and problem solving skill." In THE PHYSICS OF SURFACES: Aspects of the Kinetics and Dynamics of Surface Reaction. AIP, 2023. http://dx.doi.org/10.1063/5.0122457.

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Kara, Melike, and Kimberly Corum. "Pre-service elementary education teachers’ solutions for word problems: Using strip diagram vs. algebraic approach." In 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. PMENA, 2020. http://dx.doi.org/10.51272/pmena.42.2020-277.

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Sukmawati, Ati, Akbar Sutawidjaja, and Tatag Siswono. "Algebraic Thinking of Elementary Students in Solving Mathematical Word Problems: Case of Male Field Dependent and Independent Student." In International Conference on Teacher Training and Education 2018 (ICTTE 2018). Atlantis Press, 2018. http://dx.doi.org/10.2991/ictte-18.2018.20.

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Farley, Jove S., and Osama M. Ibrahim. "Design Analysis of the Stirling Engine Using an Equation Solver." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0657.

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Abstract A typical undergraduate course in thermal-fluids design sees the unfolding of important concepts in heat transfer, thermodynamics, and fluid mechanics and associated governing laws. Unfortunately, up until the recent past students have largely been asked to study fundamental, but often elusive, topics in these areas by means of simplified problems mostly resulting in the solution of elementary sets of algebraic equations. More complex problems involving higher order equations and ordinary differential equations are left unexamined, due mostly to the time consumption and difficulty lev
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Reports on the topic "MATHEMATICS / Algebra / Elementary"

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Schoen, Robert C., Daniel Anderson, and Charity Bauduin. Elementary Mathematics Student Assessment: Measuring Grade 3, 4, and 5 Students’ Performace in Number (Whole Numbers and Fractions), Operations, and Algebraic Thinking in Spring 2016. Florida State University Library, 2018. http://dx.doi.org/10.33009/fsu.1653497279.

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This report provides a description of the development process, field testing, and psychometric properties of a student mathematics test designed to assess grades 3, 4, and 5 student abilities. The test was administered to 2,754 participating grade 3, 4, and 5 students in 55 schools located in 10 public school districts in Florida during spring 2016. Focused on number (including whole number and fractions), operations, and algebraic thinking, the student assessment was designed to serve as a baseline measure of student achievement in a randomized controlled trial evaluating the impact of a teac
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Schoen, Robert C., Daniel Anderson, Claire M. Riddell, and Charity Bauduin. Elementary Mathematics Student Assessment: Measuring the Performance of Grade 3, 4 and 5 Students in Number (Whole Numbers and Fractions), Operations, and Algebraic Thinking in Fall 2015. Florida State University Libraries, 2018. http://dx.doi.org/10.33009/fsu.1581609234.

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Schoen, Robert, Charity Buntin, Ahmet Guven, and Xiaotong Yang. Elementary mathematics student assessment: Measuring the performance of grade K, 1, 2, and 3 students in number (whole numbers and fractions), operations, and algebraic thinking in spring 2019. Florida State University Libraries, 2021. http://dx.doi.org/10.33009/fsu-1622059548.

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