Activity

Animals

Characters:

Theme: Strategies for deducing reasonable conclusions from a mathematical model.

Competencies

Mathematical competence in science, technology and engineering

Personal, social and learning to learn competence

Competence in cultural awareness and expressions

Subjects and year by Educational System

Spain > Mathematics > 4th(A) ESO > Algebraic sense

Spain > Mathematics > 4th(A) ESO > Socio-affective sense

Enunciation


Sofya Aleksandrovna Yanovskaya

Sofya Aleksandrovna Yanovskaya, a Russian mathematician of Jewish origin of the 20th century  specialist in logic, posed different problems to her students so that they would solve them with perseverance and so that they would continually ask themselves: what am I doing? where am I going? We propose you to solve the following mathematical logic problem.

The zookeeper commented the other day:

- 17 bears eat as much as 170 chimpanzees. 

- 100,000 mice eat as much as 50 chimpanzees. 

- 4 elephants eat as much as 10 bears. 

How many mice would eat as much as 12 elephants?

Observations and context

- As a revolutionary, she took an active part in politics with the communist party during the Russian Revolution, first underground and then as the editor of the Kommunist newspaper in Odessa.

- Sofya's predecessors, who also stood out in the field of mathematical logic, are Elena Lucrezia Cornaro Piscopia (1646-1684); Ada Lovelace, forerunner of computer language (1815-1852); and Christine Ladd-Franklin (1847-1930). 

- Her contemporaries were also renowned scientists such as Priscilla Fairfield Bok (1896-1975), American astronomer; Mary Lea Heger (1897-1983), American astronomer; Gertrude Blanch (1897-1996), American mathematician; Mary Taylor Slow (1898-1984), British physicist and mathematician; Marguerite Lehr (1898-1987), American mathematician; Charlotte Moore Sitterly (1898-1990), American astronomer; Odette Jasse (1899-1949), French astronomer; Vera Fedorovna Gaze (1899-1954), Soviet astronomer; Pelageya Polubarinova-Kochina (1899-1999), Soviet mathematician; Gertrude Mary Cox (1900-1978), American mathematician and statistician; Ida Rhodes (1900-1986), American mathematician; or Mary Lucy Cartwright (1900-1998), British mathematician, among many others born in the early 20th century.

- Important researchers such as Isabella Grigoryevna Bashmakova (1921-2005) and Olga Arsenievna Oleinik (1925-2001) stand out among her students.

Description

Solving a problem. To do this you have to use logic and operations with natural numbers.

Answer

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