A Two-Level Model of Embodied Mathematical Thinking. Body Schema, Body Image and Language

Anthropologically oriented strategies of interaction in the Human-Computer system

“…This relationship contributes to the spatially oriented understanding of oneself as bodily reality, as bodily existence, the surrounding world and is transformed into culture as a significant indicator and "filler" of meanings, becoming an aspect of bodily cognition. These ideas about the role of the body in the formation of human cognition and speech are revealed by J. Lakoff [24,25], focusing on bodily metaphors. In this way, the Umwelt acquires a spatial orientation based on the understanding of the top/bottom relationship.…”

“…Level E -"Intellectual (speech) movements" is represented by body language, language, and, to some extent, intellectual activity. Intelligence, despite its autonomy, is ontogenetically (in the sense that in a person, in the process of individual development, verbal intelligence is formed on the basis of sensorimotor) and partly functionally (as an example, the concept of the bodily mind of J. Lakoff) [24,25] connected with the bodily-motor human dimension. In the theory of movements construction, cognition as an attributive and determining specificity of human nature has bodily-semiotic (for example, complex dances, body language), semiotic-semantic, communicative-cognitive (speech, communication, sign systems and thinking) and figurativesemantic representations.…”

“…Theories and concepts were applied: Umwelt (J. J. von Uexküll, [27,28]; of a functional circle (German: Funktionskreis) (the concept of J. J. von Uexküll) [27,28]; the life world (German: Lebenswelt) of E. Husserl [23]; autopoiesis (H. Maturana and F. Varela) [29]; embodied mind J. Lakoff [24,25]; muscle clamps and "character armor" [33] rhizomes (according to J. Deleuze and F. Guattari) [34]; archetypes and the collective unconscious of C. Jung [35,36]; the boundarycontact developed in Gestalt psychology [37,38], the psychological field of K. Levin, functional systems. The applied ancient Greek concepts of Kairos (Greek: Kαιρoζ), Chronos (Greek: Xρoνoζ).…”

“…This includes the imitation of human existence, presented in the format of Lebenswelt (Life World according to E. Husserl) [23]. Methodologically significant in this direction can be the application of concepts that holistically, systematically, autopoietically and in relationship and through the meanings of harmony with the environment reveal the "body-cognitive" nature of a person, namely: the embodied mind J. Lakoff [24,25], enactivism, biomechanics -in particular, theories of movements construction [26], functional systems (physiological theory), Umwelt [27,28], functional circle (German: Funktionskreis) [28], concept of autopoiesis by H. Maturana and F. Varela [29] and others. Human nature is characterized by "expansion", knowledge and expansion directed both outward into the "visible" world -the Macrocosm (Greek: M ακρoκoσµoζ), and immersed in its own special world -the Microcosm (Greek: M ικρoκoσµoζ), through self-knowledge.…”