1. Workshop - ‚More than calculating‘
bilingual teaching
05/30/2016
Workshop - ‚More than calculating‘
Math and language

2. Hessian curricula of math – overprofessional competences
representation
communication
argumentation
Usage of symbolic, formal and technical elements
solving problems
modelling
‚More than numbers‘ – Math and language

3. Many cultures – many languages at the Liebfrauenschule
Afghanistan
Egypt
Bulgaria
Denmark
Kuba
Poland
Spain
Turkey
USA
Switzerland
Croatia
Portugal
Italy
Greece
Bangladesh
China
France
South Korea
Moldova
Iran
Myanmar
Romania
Thailand
Colombia
Serbia
Great Britain
Ireland
Peru
Morocco
Mexico
Philippines
Ecuador
Slovakia
Syria
‚More than numbers‘ – math and language

4. Consequence …
The support of language skills is a main topic – also in math lessons!
‚More than numbers‘ – math and language

5. ‚More than numbers‘ – math and language
Terminology in math education
More than 500 mathematical terms introduced in elementary school
In math classes topics are used specific in order to promote language skills
students need to learn how to use specific vocabularies according to the topics
The emphasis is on the mathematical content:
to practice terminology
to support the comprehension of terms and terminology
to support aural comprehension and precise listening
to repeat and practice specific verbal structures
to support the development of verbal consciousness
to support the development of communication skills
‚More than numbers‘ – math and language

6. Explorer packages – a possibility to support language
Task: How to continue? Complete the following four sequences:
9 + 6 =
8 + 5 =
7 + 4 =
6 + 3 =
_____ =
Give a description to your partner: How do you came up with the solution and what is special about the sequence and the sum.
Please work together in pairs. Choose a partner who does not speak your mother tongue.
‚More than numbers‘ – math and language

7. ‚More than numbers‘ – math and language
‚lexical storage‘
tens
unit
‚More than numbers‘ – math and language

8. ‚More than numbers‘ – math and language
Give a description of the explorer package to your partner by using the “lexical storage”: What's special about the sequence and the result?
= = = = 63 …
‚More than numbers‘ – math and language

9. ‚More than numbers‘ – math and language
Examples of different explorer packages with various levels of difficulty
10 – 1 = 8
9 – 2 = 6
8 – 3 = 4 …
= 40
= 40
= 40
= 40 …
3 ⋅ = 4
4 ⋅ = 9
5 ⋅ = 16
6 ⋅ = 25
7 ⋅ = 36 …
explorer packages are series of arithmetic problems which are supposed to encourage children to discover, explore and search for explanations. They may cover all types of calculations.
‚More than numbers‘ – math and language

10. ‚More than numbers‘ – math and language
Task for the plenary:  How do explorer packages qualify for promoting verbal skills?
‚More than numbers‘ – math and language

11.  How do explorer packages qualify for promoting verbal skills?
Encourage sharing and discussing results
to give students many possibilities to communicate with each other by using the new vocabularies/terms, …
describing and specifying of results made easier by using terminology
‚More than numbers‘ – math and language

12. Let‘s see it in class … After that we will have lunch … 
bilingual teaching
Let‘s see it in class …
After that we will have lunch … 
‚More than numbers‘ – math and language

13. ‚More than numbers‘ – math and language
‚Gearwheel‘
Build two circles, one inner circle and one outer circle, facing each other
When you hear the signal everybody rotates one position to the left
Discuss the lesson focus on the training and support of the language skills. Perhaps you had an eureka moment…
‚More than numbers‘ – math and language

14. ‚More than numbers‘ – math and language
Let‘s have a coffee…
‚More than numbers‘ – math and language

15. Eight different exercises to improve mathematical language skills
The ‘market place’ method.
There are 8 stations. At each station you find a different exercise, which can be used to support the technical language of the students.
‚More than numbers‘ – math and language

16. ‚More than numbers‘ – math and language
‚More than numbers‘ – math and language

17. ‚More than numbers‘ – math and language
In my bag I have …
‚More than numbers‘ – math and language