Title: Golden
ratio. Where are you?
Abstract:
The aim of this
project is to study one of the most wellknown irrational numbers, the Golden
number. Students will discover this number in their bodies, in real world and
arts, by sharing data and making statistics, sharing photos,...
Students will
measure their bodies (total height and height navel-feet), they'll share these
numbers in Google Drive and then they'll calculate means of several quotients,
in teams-2 members of each country-, they'll compare these mean with Golden
number and study if there are differences between countries, group aof ages or
gender. Then, each team will write an entry in the project blog explaining
their conclusions.
Another activity
will be to share in padles images showing that Golden number is in real world,
then using a survey they'll decide which images are the best and working with
Geogebra, they will show how Golden ratio appears in these images.
Finally they will
wirte entries in the project blog
General details:
- Age of students:15-16
- Number of pupils: about 20 students per country
- Subject involved: Mathematics
Objectives:
- To study real numbers (Standard 2.1.1 see
curriculum)
- To make statistics using real data (standards 5.3.1,5.4.1,5.4.2,5.4.3
see curriculum)
- To use ITC as Google Drive, Geogebra ,blogger and
spreadsheets (standards 1.8.1, 1.8.2,1,8.3, 1.9.1, 1.9.3 see curriculum).
Key Competences involved:
- 2.Communicating in a foreign language:.
- 3.Mathematical, scientific and technological competence.
- 4.Digital competence.
- 5.Learning to learn
- 6.Social and civic
competences
ITC:
- Google Drive
- Blogger
- Geogebra
- Padlet.
- Excel
- Youtube
Work process:
Communication among partners
- Teachers: They will use
the internal mail and twinspace in order to determine deadlines, reach
agreements about students material and so on.
- Students: Will use chat
and forum in twinspace for writing communication, As they are sharing a
spreadsheet inDrive they also will communicate using this tool.
Organization of student's work:
Different kinds of activities
- Knowing each other activities.
- Designing a logo
- Working with Golden number
Knowing each other activities:
- A chinese portrait. Tools in twinspace: Forum and
images
- Ecah student will write a post in a forum saying
“ if a were a …. I’d be a ….”
- Later Teachers upload photos of students showing
one object that can help to identify them.
- Using the forum students to identify their
partners
- How we make maths a school. Tool in twinspace:
Videos
- Each country will upload one or more videos
showing different activities about maths in their schools
Designing a logo
Tools Padlet , Geogebra and Google Docs
- · First each student using Padlet post a photo that represents Golden number in any way
- · Second using Google Docs a contest is organized in order to determine wich image is a best representation of the Golden number.
- · Using Geogebra and working in international teams, students design the logo with the winner image
- · Again using Google Doc the logo is decided
Working with Golden number:
Sharing and working with data: Google Drive
- The team of teachers create a spreadsheet in
Google Drive.
- The headlines of the spreadsheet are:
|
Country
|
Gender
|
Age
|
Total
height
|
Height navel-sole of feet
|
- Then, teachers share this in Google drive with
all the students.
- Each student fills a row, so that finally there
will be lots of real data for making statistics.
- Then, teachers organize teams so that each team
has at least one member from each country.
- These teams will make statistics together, one
team will work with all the data, other will separate separate data by
countries ,another by gender ,... and each team will calculate means and
make comparisons with Golden number.
- If necessary students will use the forum when
they have to coordinate the common work or to assign different tasks to
different students
- Once each team has made the calculations and
graphs they will share them in the blog of the project.
- Using the forum, they have to reach an agreement
about the differences between countries, genders etc
Sharing the results
·
Each team writes
an entry in the common blog sharing their result. This activity is interesting
because we can observe the differences between gender, ages and countries
Final result:
A blog with all the conclusions, images, spreadsheets
and Geogebra
