Perception the Symbolic Scriptures Evaluation and Transformation of Elementary Algebra
DOI:
https://doi.org/10.61841/j5m27j49Keywords:
Elementary Algebra ESA, Problem-Based Discussion PDB, Symbolic ScripturesAbstract
The current research work focuses on two areas of unequal importance: symbolic expressions of elementary algebra ("ESA") on the one hand and problem-based discussion ("PBD") situations on the other. The main body of the paper exposes features of structural mottles and didactically plausible ESA systems. It is not a didactical study of algebra in the strict sense, which would be more or less directly applicable to what happens in classrooms, but rather basic research on the structure of symbolic expressions that employ students and teachers in elementary algebra (ESA), intended to serve as a tool for subsequent didactic studies. "Understanding" ESAs means taking into account their syntax, denotation, meaning, and interpretation. According to the meaning we choose, the above statement may mean as well as the understanding of the ESAs is a collective, as the idea that the three components should not be separated. To tell the truth, we adhere to both propositions. However, the proposed study, more specifically, the didactic consequences of the second.
Downloads
References
[1] Jean-Philippe Drouhard. The Symbolic Scriptures of Elemental Algebra. Education. Paris-Diderot
University - Paris VII, 1992.
[2] BARUK, 5. (1973): Echec et Maths, Ed. du Seuil, Paris Ballabriga, C., Forget, J., Lipari, G.: Symbolic wcet
computation. ACM Transactions on Embedded Computing Systems (TECS) 17(2), 39 (2018).
[3] ADDA J. (1987): "Errors caused by the representations," in Role of the error in the learning and the
teaching of the mathematics, report of the 3gciiie international meeting of the CIEAEM, the Edilions of the
University of Sherbrooke, Sherbrooke, Quebec.
[4] Djoudi, A., Bardin, S.: Binsec: Binary code analysis with low-level regions. In: International Conference on
Tools and Algorithms for the Construction and Analysis of Systems (TACAS’15) (2015).
[5] KIERAN C. (1989): “the Early Learning of Algebra: A Structural Perspective,” Research Issues in tire
Learning antiteaching
[6] Algebra, S. Wagner & C. Kieran (Dir.), Lawrence Eribaum Associates & National Council of Teachers of
Mathematics, Reston (Va).
[7] Adnan H. Ali, Ali N. Abbas, M. H. Hassan, "Performance Evaluation of IEEE802.11g WLANs Using
OPNET Modeler," (AJER) Volume-02, Issue-12, pp. 09-15.
[8] TONNELLE J. (1979): The closed world of laftsc.torization at the first cycle, DEA dissertation of
Mathematical Didactics, 1REM of Bordeaux and IREM of Aix-Marseille
[9] DROUHARD Ph., (1986): Mathematical level test for DEUG students in November 1985 Paris, Report, U.F.
of Didactics of Disciplines, Paris VII University.
[10] Ballabriga, C., Forget, J., Gonnord, L., Lipari, G., & Ruiz, J. (2019). Static Analysis of Binary Code with
Memory Indirections Using Polyhedra. Verification, Model Checking, and Abstract Interpretation, 114–135.
[11] Aho, A.V., Lam, M.S., Sethi, R., Ullman, J.D.: Compilers: Principles, Techniques, and Tools, 2nd edn.
Addison-Wesley Longman Publishing Co. Inc., Boston (2006)
[12] Ali, A.H., Abdul-Wahid, S.N.: Analysis of self-homodyne and delayed self-heterodyne detections for
tunable laser source linewidth measurements. IOSR J. Eng. 2(10), 1–6 (2012).
[13] Bagnara, R., Hill, P.M., Zaffanella, E.: The Parma Polyhedra Library: toward a complete set of numerical
abstractions for the analysis and verification of hardware and software systems. Sci. Comput. Program.
72(1), 3–21 (2008)
[14] Ballabriga, C., Forget, J., Lipari, G.: Symbolic WCET computation. ACM Trans. Embed. Comput. Syst.
(TECS) 17(2), 39 (2018).
[15] Bygde, S., Lisper, B., Holsti, N.: Fully bounded polyhedral analysis of integers with wrapping. Electron.
Notes Theor. Comput. Sci. 288, 3–13 (2012)
[16] Djoudi, A., Bardin, S.: BINSEC: binary code analysis with low-level regions. In: Baier, C., Tinelli, C. (eds.)
TACAS 2015. LNCS, vol. 9035, pp. 212–217. Springer, Heidelberg (2015).
[17] Tamburini, P., Stagni, R., Cappello, A.: Design of a modular platform for static analysis. In: Spoto, F. (ed.)
9th Workshop on Tools for Automatic Program Analysis (TAPAS 2018). Lecture Notes in Computer
Science (LNCS). Springer, Cham, p. 4, August 2018.
[18] Adnan H. Ali, "Simultaneous measurements for tunable laser source linewidth with homodyne detection,"
Computer and Information Science, Vol. 4, No. 4; July 2011.
[19] A. Tiwari, A. Gupta, and Dr. Vivek K. Singh, "Developing a Multi-threaded Algebraic Application using
Mathematical Pseudo Language for Efficient Computing," Proc. of Int. Conf. on Advances in Computer
Science, AETACS, 2013.
[20] Clément Ballabriga, Julien Forget, Laure Gonnord, Giuseppe Lipari, Jordy Ruiz. Static Analysis Of Binary
Code With Memory Indirections Using Polyhedra. VMCAI’19 - International Conference on Verification,
Model Checking, and Abstract Interpretation, Jan 2019, Cascais, Portugal. pp. pp.114-135, ff10.1007/978-3-
030-11245-5_6ff.
TRKU
6824
[21] Min´e, A., Ouadjaout, A., Journault, M.: Design of a Modular Platform for Static Analysis. In: 9h Workshop
on Tools for Automatic Program Analysis (TAPAS’18). p. 4. Lecture Notes in Computer Science (LNCS)
(08 2018).
[22] Adnan H. Ali, Farhood, A.D. Design and Performance Analysis of the WDM Schemes for Radio over Fiber
System with Different Fiber Propagation Losses. Fibers 2019, 7, 19.
[23] Venet, A.: The gauge domain: Scalable analysis of linear inequality invariants. In: 24th International
Conference on Computer Aided Verification (CAV’12). pp. 139–154 (2012).
Downloads
Published
Issue
Section
License
Copyright (c) 2020 AUTHOR

This work is licensed under a Creative Commons Attribution 4.0 International License.
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.