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Analyzing mathematical texts with parts of Greimas semiotic theory
Analyzing mathematical texts with parts of Greimas semiotic theory
Algirdas Julius Greimas
Algirdas Julius Greimas
Introduction
Introduction
Theoretical framework
Theoretical framework
Narrative grammar 1
Narrative grammar 1
Narrative grammar 2
Narrative grammar 2
Example 1. Folk tale
Example 1. Folk tale
Analysis of tale
Analysis of tale
Example 2. Real life problem
Example 2. Real life problem
Competence, helper, rival
Competence, helper, rival
Performance
Performance
Sanction
Sanction
Zbigniew Semadieni, 1st grade (picture)
Zbigniew Semadieni, 1st grade (picture)
Z.Semadeni (text)
Z.Semadeni (text)
Analysis of the text
Analysis of the text
Conclusions
Conclusions
References
References

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Analyzing mathematical texts with parts of Greimas semiotic theory

Analyzing mathematical texts with parts of Greimas semiotic theory.ppt
1 Analyzing mathematical texts with parts of Greimas semiotic theory

Analyzing mathematical texts with parts of Greimas semiotic theory

Barbro Grevholm, University of Agder, Norway Kud?ma Ri?ardas, Vilnius University Saulius ?ukas, Baltos lankos publishing house

Southampton, 2014-07-31

2 Algirdas Julius Greimas

Algirdas Julius Greimas

A. J. Greimas (1917 1992)

3 Introduction

Introduction

Greimas (1970, 1979), was the master of the Paris school of semiotics. He developed a quite general theory, mainly consisting of the semiotic square, and the narrative grammar, which allows the analysis of texts of any genre. Kud?ma (2005) started to apply Greimas theory for analysis of mathematical texts.

4 Theoretical framework

Theoretical framework

According to Greimas a text can be analyzed at three levels: discursive, narrative and logical-semantic. The first two levels are called surface and the third one deep level. The essence of the deep level is the so called semiotic square. P. Ric?r (1989) called the invention of semiotic square the stroke of genius and this is not too strong... In our workshop we will not touch upon the semiotics square.

5 Narrative grammar 1

Narrative grammar 1

For the narrative level all narrative grammar was established. The narrative level has four phases: manipulation, competence, performance and sanction. At the manipulation phase the addresser formulates a problem and looks for somebody (addressee and later on subject of action) who wants or must solve it. The addresser presents his system of values which very often differs from the students (addressees) systems of value. That might cause many didactical problems.

6 Narrative grammar 2

Narrative grammar 2

At the competence phase the subject of action must show or achieve some competence for a solution of the problem, reaching some object of value. The subject of action can never solve a problem without a helper. The competence phase ends by selecting the helper (helpers). At the performance phase the subject of action must do some job, must conquer the rival. At the sanction phase the addresser evaluates the performance and awards the subject of action.

7 Example 1. Folk tale

Example 1. Folk tale

The analysis of folk tales by Propp was at the origin of contemporary Greimass semiotic theory. There was a kingdom. A dragon lived near this kingdom and asked to give him a girl each year. The only one girl left is the princess. The king asked anybody to kill the dragon. He promised to give the princess and the half of kingdom for that. Three brothers, two clever and the third one fool, tried their chance. The older two (clever) failed and the youngest (fool) succeeded to kill the dragon. Remark. There are many different versions of this tale.

8 Analysis of tale

Analysis of tale

Manipulation. Addresser - king, problem dragon, object of value princess and half of the kingdom. Competence and performance. Two brothers failed. They did not help a fish on the shore and a bird in the bushes and did not get competence sufficient to kill the dragon The third brother saved the fish and the bird. They became the helpers and awarded the hero the special skills which enabled him to kill the dragon. Sanction. The youngest brother was awarded by the king as it was promised at the beginning.

9 Example 2. Real life problem

Example 2. Real life problem

Real life situation Manipulation. 1. I go to the doctor. He says. To be healthy I need to eat apples each day. 2. There is an opinion in the society that to eat apples is very useful for the health. An apple a day keeps the doctor away. Problem - I need apples. The addresser is the doctor (case 1) and an episthemological addresser (case 2) Subject of action - me, object of value apples.

10 Competence, helper, rival

Competence, helper, rival

I can plant a garden and later have my own apples. Garden is a helper. This is a long term project. If I need apples right now I can buy apples in the market. I need money. Money is a helper. Lack of money rival. I dont have cash. I have a credit card. I can get cash at ATM. Credit card and ATM are helpers.

11 Performance

Performance

1. I plant a garden, look after it, wait for 10 years and have my own apples. 2. I go to the market and buy apples. There might be formulated many mathematical problems with money and the amount of apples.

12 Sanction

Sanction

I go back to the doctor. The addresser must appear again. He evaluates my performance. If there is no personal addresser and then there is an epistemological addresser. I am simply happy eating two apples per day.

13 Zbigniew Semadieni, 1st grade (picture)

Zbigniew Semadieni, 1st grade (picture)

14 Z.Semadeni (text)

Z.Semadeni (text)

At the forest school the owl puts 9 rabbits on one side and 6 little rabbits on the other. She asked: How many rabbits are there in total? The rabbits have been thinking for a long time, how many there are, 9 + 6. Later on one little rabbit with red sash jumped towards the big rabbits and cried out: Now it is easy to count, because we are 10 and 5 that means 15.

15 Analysis of the text

Analysis of the text

This text was suggested for participants of the workshop for analysis.

16 Conclusions

Conclusions

Greimass semiotics gives the method of text analysis. The beginning of text, the manipulation phase, is very important. Then the confrontation between two systems of values appears - the addressers (authors of textbook, teachers) from one side and addressees (students) from the other side. Semiotic analysis permits one to do some objective conclusions about the quality of the text. The text from the Semadeni textbook provided for analysis of participants of the workshop is a good one from the point of view of Greimass semiotics.

17 References

References

Greimas, A. J. (1970). Du sens, Editions du Seuil, Paris. Greimas, A. J. (1979). Du sens II, Editions du Seuil, Paris. Kud?ma, R. (2005). Semiotics in education. In C. Bergsten & B. Grevholm (Eds.), Conceptions of mathematics, Proceedings of norma 01, Third Nordic Conference on Mathematics Education, (pp. 171-176). Kristianstad, June 8-12, 2001, Linkoping: SMDF. Ric?r, P. (1989). Greimass narrative grammar, Paris School Semiotics I. Theory, John Benjamin Publishing Company, Amsterdam/Philadelpia. Semadeni, Z. (1998). Matematika 1. Punsk, Au?ra.

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