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Signs and Formal Concepts [chapter]

Uta Priss
2004 Lecture Notes in Computer Science  
Our semiotic conceptual framework adds a layer of explanation to these studies by detailing how semiotic and conceptual aspects both contribute to formal languages.  ...  Conceptual structures While semiotic structures, such as synonymy, model the decisions a user makes with respect to a formal language, mathematical entities can be used to compute the consequences of such  ... 
doi:10.1007/978-3-540-24651-0_3 fatcat:e5ceokcmend2rdha2jrhg35nbu

The onto-semiotic approach to research in mathematics education

Juan D. Godino, Carmen Batanero, Vicenç Font
2007 ZDM: Mathematics Education  
In this paper we synthesise the theoretical model about mathematical cognition and instruction that we have been developing in the past years, which provides conceptual and methodological tools to pose  ...  Following Steiner's Theory of Mathematics Education Programme, this theoretical framework is based on elements taken from diverse disciplines such as anthropology, semiotics and ecology.  ...  be applied to other fields, particularly to pedagogical knowledge.  ... 
doi:10.1007/s11858-006-0004-1 fatcat:pwxvtoaj5ndgbg5tk2ntq2nn7m

Onto-semiotic complexity of the Definite Integral

María Burgos, Seydel Bueno, Olga Pérez, Juan D. Godino
2021 REDIMAT: Journal of Research in Mathematics Education  
The methodology analysis of a mathematical text, which we exemplify in this work applying the tools of Onto-Semiotic Approach, provides a microscopic level of analysis that allows us to identify some semiotic-cognitive  ...  In this research, we supplement the analysis made by different authors, applying the theoretical and methodological tools of the Onto-Semiotic Approach to mathematical knowledge and instruction.  ...  In this case, the onto-semiotic analysis is applied to a text that does not correspond to the process of solving a problem, but to the process of the general definition of a mathematical concept.  ... 
doi:10.17583/redimat.2021.6778 fatcat:rrbvrxe5anbctfqzl6wstq64fq

Can economic knowledge be created in classrooms? Some insights from epistemologically-oriented interaction analysis: Mathematical registers and metacognitive mediation

Mary-Paz Arrieta-Paredes
2012 International Journal for Cross-Disciplinary Subjects in Education  
applied in Mathematics for solving problems, could be used in Economics learning to develop the same sort of skills with direct reference to real-life situations.  ...  The semiotic and metacognitive dimensions of the Mathematics-Economics alliance are studied to understand the influence of the nature of Economic Education on the nature of Economic Knowledge.  ...  This distinction involves deep implications for Economic Analysis, because it underlines the representational character of mathematical language as a semiotic instrument.  ... 
doi:10.20533/ijcdse.2042.6364.2012.0118 fatcat:xuielulyxzakxdfozpj5jenn7i

Past, present and future mathematical models for buildings

Xiaoshu Lu, Derek Clements-Croome, Martti Viljanen
2009 Intelligent Buildings International  
To better summarize the strengths and limitations of the applied approaches, we classify these models as physical, statistical and knowledge/logic-based models below, based on their mathematical approaches  ...  This article is the second part of a review of the historical evolution of mathematical models applied in the development of building technology.  ...  In principle, semiotics analysis can be applied to any of the relations in the system, say, computation or mathematical modelling of the system components.  ... 
doi:10.3763/inbi.2009.0024 fatcat:z2brehsz7nha5dathq56i54hue

A Contribution of a Multi-Viewpoints Semiotics to Knowledge Representation Issues

Daniel Galarreta
2008 International Conference on Conceptual Structures  
In particular we hope that it offers a viable alternative to triadic semiotic models usually evoked to build conceptual structures and knowledge representations.  ...  This paper intends to show how a semiotic model akin to a dyadic semiotic can contribute to knowledge representation issues.  ...  semiotic analysis and description.  ... 
dblp:conf/iccs/Galarreta08 fatcat:e25ks2gbyjb6dge3beqn7lerx4

Bilingualism of Colombian Deaf Children in the Teaching-Learning of Mathematics in the First Year of Elementary School

Olga Lucía León Corredor, Dora Inés Calderón
2011 Colombian Applied Linguistics Journal  
The analysis indicates some puzzling teaching learning issues interweaving language and mathematics.  ...  ) is starting to be emphasized.  ...  It was applied for the selection of the types of mathematics classrooms according to the institutions.  ... 
doi:10.14483/22487085.80 fatcat:iifhgvvg7fexpijeu53d7gfqvu

Understanding of university students about improper integral

Angie Damian Mojica
The objective is to characterize the understanding of this mathematical concept through a proficiency model for this purpose, an instrument was designed that was applied to second-year university students  ...  The research is qualitative exploratory and is based on the framework of the Theory of records of semiotic representations.  ...  The coordination of several records of semiotic representation is presented as a crucial aspect for the conceptual learning of mathematical objects.  ... 
doi:10.24297/ijrem.v11i.8681 fatcat:cjypmjy5xrbxjlx7wa3ad26ydu

Semiotic analysis on Malangan Batik for elementary school mathematics learning

Dyah Worowirastri Ekowati, Arina Restian, Erna Yayuk, Kamariah Kamariah
2022 Jurnal Elemen  
This study aimed to conduct a semiotic analysis of Malangan batik for elementary mathematics learning. The research was conducted in a qualitative descriptive manner with an ethnographic approach.  ...  In the thematic learning applied in elementary schools, Arts, Culture, and Crafts subjects do not stand alone. However, it must be related to other subjects, one of which is mathematics.  ...  Acknowledgment We would like to thank the two elementary school mathematics teachers and the two Malangan batik makers.  ... 
doi:10.29408/jel.v8i2.5352 fatcat:l765kgwbsjchnipfaskynhcgni

Intertwining Lexical and Conceptual Learning Trajectories - A Design Research Study on Dual Macro-Scaffolding towards Percentages

2015 Eurasia Journal of Mathematics, Science and Technology Education  
Monolingual or multilingual students with low academic language proficiency need to acquire conceptual understanding for percentages and the language to communicate about them.  ...  The dual hypothetical learning trajectory starts from students' prior experiences and guides them, via several levels, towards the mathematical models and meanings (conceptual learning trajectory) as well  ...  To sum up, the analysis and the identified semiotic chains show how Beren is able to construct meanings along the hypothetical conceptual and lexical trajectory in many steps of a non-unidirectional pathway  ... 
doi:10.12973/eurasia.2015.1497a fatcat:ppfjc2aon5ga5iqj422cfmqnya

Mathematical Problem Solving in Training Elementary Teachers from a Semiotic Logical Approach

Martín Socas, Josefa Hernández
2013 The Mathematics Enthusiast  
processes in the mathematical activity (conceptual field) and their relationships problem-solving; and it is assumed that the learning of problem-solving is an integrated part of learning in mathematics  ...  The aim of this article is to consider the professional knowledge and competences of mathematics teachers in compulsory education, and to propose basic tasks and activities in an initial training programme  ...  This research was partially supported by the National Plan of Research of the Ministry of Science and Innovation: Mathematical Competence, problem solving and technology in Mathematical Education (EDU2008  ... 
doi:10.54870/1551-3440.1265 fatcat:dqn6cjwxxbezhhwm62c4nbduyi

How Mental Rotation Skills Influence Children's Arithmetic Skills

2017 Journal of Mathematics Education  
In this paper, a comprehensive summary of research on the topic will be structured around the concepts of semiotic function and meaning, focusing on recent research in the influence of mental rotation  ...  This study represents an effort for organizing and structuring, from an educational point of view, existing research on the relation between spatial and arithmetic skills in order to make it useful for  ...  The Onto-Semiotic Approach to research in mathematics education assumes that arithmetical expressions presented in the symbolic language of mathematics are sentential information (Godino et al., 2012)  ... 
doi:10.26711/007577152790016 fatcat:lvio5jgttnds3euiswunc47xgu

The Trigonometrical Series of Fourier: A Visual Approximation

María de Lourdes Rodríguez Peraltaa, María Victoria Popoca Yañez
2010 Procedia - Social and Behavioral Sciences  
The theoretical perspective is the social construction of knowledge, identified through the institutional and social context to the analysis of signals as a driving force of knowledge throughout the across  ...  the academic career, due to the fact that any physical phenomenon to be studied is a signal.  ...  Politécnico Nacional (IPN) through the School of Mechanical and Electrical Engineering (ESIME) Culhuacán Campus, the Centre for Research and Advanced Studies (CINVESTAV) IPN through its Department of Mathematics  ... 
doi:10.1016/j.sbspro.2010.12.009 fatcat:mafdv3d2fbdapenc3lqpqiigte

What can meta-language do?

2013 Signata - Annals of Semiotics  
For example, if there is a consensus within a group on a particular meta-language (such as in Greimassian semiotics), it may become just a template to apply, simply a schema to project onto objects; but  ...  And in any case, does it truly explain things when one supports a meta-language and seeks to apply it and think within its terms?  ... 
doi:10.4000/signata.705 doaj:71feb54586ff476e83cae86c6430a645 fatcat:kg5wdm6zrzadzmrpmzm3vmb55e

Page 988 of Linguistics and Language Behavior Abstracts: LLBA Vol. 25, Issue 2 [page]

1991 Linguistics and Language Behavior Abstracts: LLBA  
Peirce; 9104518 semiotic ome development, Spain, semiotic vs hermeneutic is- sues; 9104522 semiotics/pragmatics issues, 1983 symposium proceedings, Perpignan, France; 9104523 textual semiotics, narration  ...  Gunduli¢’s Osman analysis; rvisors’ 103670 Balota, M., Dragi Kamen (A Jewel) poems’ language, Rakalj Istrian dialect, Cakavian-Stokavian analysis; 9104440 Balto-Slavic accent reversal, H.  ... 
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