How Long to Read Revisiting Zeno's Paradoxes

How Long Does it Take to Read Revisiting Zeno's Paradoxes?

It takes the average reader 1 hour and 28 minutes to read Revisiting Zeno's Paradoxes by Jorge López

Assuming a reading speed of 250 words per minute. Learn more

Description

Zeno's four paradoxes epitomize the natural tension between discrete and continuous mathematical thinking and succeed in challenging human basic intuitions about space and time. Sorting out the difficulties posed has taken close to twenty-two centuries, and has required the work of the best minds of humankind. Our argument is that Zeno's paradoxes are paradigmatic of the problems that ensue when discrete models are used in lieu of continu- ous ones. We document our presentation with results of tests given to entering students at the Natural Sciences College of University of Puerto Rico at Río Piedras who evidence similar hesitations as those associated with Zeno's paradoxes, and evidence a lack of understanding of the basic number models of mathematics. Exemplary among these models are: the discrete number lines used to represent natural numbers and integers in arithmetic, the infinitely divisible number lines (Archimedean ordered fields) and the continuum number line (complete or- dered fields). We present a reflection on the evolution of these number line models showing how they build upon each other and propose a unified didactical phenomenology for their mathematical structures, linking them to the mental actions involved in the teaching of arithmetic and measurement. Our approach, while based on an idea of Freudenthal, differs significantly from his approach, and is novel to the extent that it reveals simultaneously, the geometry as well as the relevant arithmetic and algebra. Examples of didactic activities for the classroom are presented to illustrate the teaching of the proposed didactical models.

How long is Revisiting Zeno's Paradoxes?

Revisiting Zeno's Paradoxes by Jorge López is 86 pages long, and a total of 22,016 words.

This makes it 29% the length of the average book. It also has 27% more words than the average book.

How Long Does it Take to Read Revisiting Zeno's Paradoxes Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours to read Revisiting Zeno's Paradoxes aloud.

What Reading Level is Revisiting Zeno's Paradoxes?

Revisiting Zeno's Paradoxes is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Revisiting Zeno's Paradoxes?

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