Teaching and Learning of Geometry as a process of Objectification: conditions and obstacles to argumentation and proof. The role of natural language, specific language, and figures

REMATEC ◽  
2021 ◽  
Vol 16 (39) ◽  
pp. 119-141
Author(s):  
Bruno D’Amore ◽  
George Santi

This paper examines some examples (taken from research conducted over the years) that show students’ linguistic attitudes in geometry tasks. The examples are framed within the Theory of Objectification with reference to the notion of sensuous cognition, semiotic means of objectification and levels of generality. We show the struggle students live, at higher levels of generality, in intertwining natural language, specific language and the spontaneous use of geometrical figures, bound to perception and kinaesthetic activity. Within the networking paradigm, we coordinate the Theory of Objectification and Duval’s semio-cognitive approach to frame the interplay between the ideal and the material that occurs in geometrical argumentations and proofs.

Author(s):  
Ekaterina Savitskaya ◽  

In the field of cognitive linguistics it is accepted that, before developing its capacity for abstract and theoretical thought, the human mind went through the stage of reflecting reality through concrete images and thus has inherited old cognitive patterns. Even abstract notions of the modern civilization are based on traditional concrete images, and it is all fixed in natural language units. By way of illustration, the author analyzes the cognitive pattern “сleanness / dirtiness” as a constituent part of the English linguoculture, looking at the whole range of its verbal realization and demonstrating its influence on language-based thinking and modeling of reality. Comparing meanings of language units with their inner forms enabled the author to establish the connection between abstract notions and concrete images within cognitive patterns. Using the method of internal comparison and applying the results of etymological reconstruction of language units’ inner form made it possible to see how the world is viewed by representatives of the English linguoculture. Apparently, in the English linguoculture images of cleanness / dirtiness symbolize mainly two thematic areas: that of morality and that of renewal. Since every ethnic group has its own axiological dominants (key values) that determine the expressiveness of verbal invectives, one can draw the conclusion that people perceive and comprehend world fragments through the prism of mental stereo-types fixed in the inner form of language units. Sometimes, in relation to specific language units, a conflict arises between the inner form which retains traditional thinking and a meaning that reflects modern reality. Still, linguoculture is a constantly evolving entity, and its de-velopment entails breaking established stereotypes and creating new ones. Linguistically, the victory of the new over the old is manifested in the “dying out” of the verbal support for pre-vious cognitive patterns, which leads to “reprogramming” (“recoding”) of linguoculture rep-resentatives’ mentality.


1993 ◽  
Vol 23 (3) ◽  
pp. 64-79
Author(s):  
K. Lynn Taylor

The primary resource in university teaching is the scholarship of faculty. This discussion paper explores the potential role of scholarship as a teaching resource and the value of a scholarship perspective in instructional development. It is argued that the content, structure and process knowledge inherent in scholarship have the potential to contribute to effective teaching and learning, but only when all three forms of expert knowledge are explicitly taught. This teaching task does not flow naturally from scholarship, but requires reflection and careful structuring on the part of the scholar-teacher. It is also argued that a scholarship perspective constitutes an effective context from which to engage a broader spectrum of faculty in communicating about teaching and learning. The purpose of this paper is to stimulate discussion on how a scholarship-based instructional development context might achieve learning outcomes that more closely approximate the ideal of apprenticeship in a discipline.


2016 ◽  
pp. 33-50
Author(s):  
Pier Giuseppe Rossi

The subject of alignment is not new to the world of education. Today however, it has come to mean different things and to have a heuristic value in education according to research in different areas, not least for neuroscience, and to attention to skills and to the alternation framework.This paper, after looking at the classic references that already attributed an important role to alignment in education processes, looks at the strategic role of alignment in the current context, outlining the shared construction processes and focusing on some of the ways in which this is put into effect.Alignment is part of a participatory, enactive approach that gives a central role to the interaction between teaching and learning, avoiding the limits of behaviourism, which has a greater bias towards teaching, and cognitivism/constructivism, which focus their attention on learning and in any case, on that which separates a teacher preparing the environment and a student working in it.


2019 ◽  
Vol 1 (1) ◽  
pp. 21-31 ◽  
Author(s):  
Louis Brunet

This article proposes a model of individual violent radicalisation leading to acts of terrorism. After reviewing the role of group regression and the creation of group psychic apparatus, the article will examine how violent radicalisation, by the reversal of the importance of the superego and the ideal ego, serves to compensate the narcissistic identity suffering by “lone wolf” terrorists.


2020 ◽  
Vol 3 (9) ◽  
pp. 181-185
Author(s):  
Jaspreet Singh ◽  
Amir Shamim Shiekh ◽  
Manmeet Kour ◽  
Pankaj Kumar

In the last few decades, Information Technology has transformed the entire world into a village, known as Global Village, as proposed by Marshal McLuhan. ICT has increased its influence in every field like the education sector, defense sector, technology etc. In the 21st century, information and communication technology (ICT) has become an important and integral part of most educational organizations throughout the world.. The use of ICT in classroom teaching and learning processes has become indispensable as it gives teachers and learners the opportunity to operate, store, control and retrieve data in addition to promoting self-regulated and active learning. (Ali, Haolader & Muhammad, 2013) Today we are dependent on technology and the role of ICT is increasing day by day and is believed to be a new normal. Keeping that in view, the present paper attempts to examine the relationship between information and communication technologies (ICT) and student learning. This conceptual paper  is based on secondary information collected from different sources such as books, journal articles, newspapers, reports of various government organizations, non-governmental organizations and soon.


2018 ◽  
Vol 3 (2) ◽  
pp. 121
Author(s):  
Mochammad Arief Wicaksono

The ideology of state-ibuism has always been interwoven with how the New Order regime until nowadays government constructing the “ideal” role of women in the family and community through the PKK (Pembinaan Kesejahteraan Keluarga) organization. However, in Cangkring Village, Indramayu, the ideology of ibuism works not because of the massive government regulating the role of women through the PKK organization, but it is possible because of the structure of the kampung community itself. Through involved observations and in-depth interviews about a kindergarten in the village, a group of housewives who dedicated themselves to teaching in kindergarten were met without getting paid high. From these socio-cultural phenomenons, this paper will describe descriptively and analytically that housewives in the Cangkring village are willing to become kindergarten teachers because of their moral burden as part of the warga kampung and also from community pressure from people who want their children to be able to read and write.


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