1. TRANSITION 2. UNIFYING CONTENTS 3. LANGUAGE 4. NEW TECHNOLOGIES 5. CREATIVITY 6. TESTING
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1. TRANSITION 2. UNIFYING CONTENTS 3. LANGUAGE 4. NEW TECHNOLOGIES 5. CREATIVITY 6. TESTING 7. SOME CONTRADICTIONS 8. WINDS OF WAR 9. THE ISSUE OF GEOMETRY 10. SOME DATA WG 2
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WG 2. 1. TRANSITION 2. UNIFYING CONTENTS 3. LANGUAGE 4. NEW TECHNOLOGIES 5. CREATIVITY 6. TESTING 7. SOME CONTRADICTIONS 8. WINDS OF WAR 9. THE ISSUE OF GEOMETRY 10. SOME DATA. WG 2. COMPLEX ALGEBRA DEDUCTION PROOF PRODUCTS. SIMPLE ARITHMETIC INDUCTION INTUITIVE PROCESSES. - PowerPoint PPT Presentation
Transcript of 1. TRANSITION 2. UNIFYING CONTENTS 3. LANGUAGE 4. NEW TECHNOLOGIES 5. CREATIVITY 6. TESTING
1. TRANSITION
2. UNIFYING CONTENTS
3. LANGUAGE
4. NEW TECHNOLOGIES
5. CREATIVITY
6. TESTING
7. SOME CONTRADICTIONS
8. WINDS OF WAR
9. THE ISSUE OF GEOMETRY
10. SOME DATA
WG 2
WG 2
SIMPLE
ARITHMETIC
INDUCTION
INTUITIVE
PROCESSES
COMPLEX
ALGEBRA
DEDUCTION
PROOF
PRODUCTS
1. TRANSITION
WG 2
2.UNIFYING
CONCEPTS
MATH
COGNIT
CONTENTS
PROCESSES
DIDACT.
WG 2
2. UNIFYING
CONCEPTS
MATH
COGNIT
CONTENTS
PROCESSES
DIDACT.
A) PROCESSES
B) CONTENTS
C) COGNIT.
WG 2
A) PROCESSES
vs/ PRODUCTS
CONTENTS
as ACTIVITIES
& CREATIVITY
WG 2
B) CONTENTS:
Which? How much?
Functions (linearity)
Algebraic thought
WG 2
C) FLEXIBLE PATTERNS THROUGH OPEN PROBLEMS
SISTEMATICITY ?
WG 2
3. LANGUAGEINNER
PROCESSES
LOGICAL SKILLS
COMMUNIC.
READING & WRITING
COMMUNICATION
It is related with: processesculture
Pupils express themselves
Helps students to set down their working into a framework
Differences between pupils/teacher/book
WG 2
WG 2
4. TECHNOLOGY
+ DIFFICULT PROBLEMS LOGICAL SKILLS- NUMERACY? FINAL EXAMS (paper&pencil)
DGS:
3D
INTUITION/PROOF
GIRLS ISSUES
CALCULATORS
WG 2
HOW TO DEVELOP IT ?
DEFINITIONS:
ideological features
cultural issues
5. CREATIVITY
WG 2
6. TESTING
OPEN ENDED
VS/
STRUCTURED
PRODUCTS
VS/
PROCESSES
WG 2
7. SOME
CONTRADICTORY
ISSUES
CHALLENGING THE INNOVATION
CHALLENGING THE TRADITION
?BUT !
WG 2
CHALLENGING THE INNOVATION
OPEN ENDED MATHS
- problem solving with open, non routine problems
(no systematic learning; teaching obsolescence)
INTEGRATED LEARNING
(basic skills in a more or less traditional way)
WG 2
CHALLENGING THE TRADITION
Challenging the stability of mathematical thinking development in students
Examples: hierarchies vs/ networks (van Hiele hierarchy for geom. Concepts)
LEVEL
SCORE
E D C B A
results got by pupils in some specific objective tests seem to contradict their general performances
WG 2
BUT IN CHILE, JAPAN,… SOME OF THE CHALLENGED INNOVATIVE ISSUES ARE AT THE BASIS OF THE NEW REFORMS OF THE SCHOOL
WG 28. WHAT DO THEY MEAN THESE WAR WINDS THAT ARE NOW BLOWING?
WG 2
There are elements which are difficult to construct in a constructivist approach to theoretical knowledge and difficult to mediate through a traditional approach.
WG 2
9. THE ISSUE OF GEOMETRY
• USEFULNESS FOR 3D
• A BASIC PATH IN SOME COUNTRIES (but numerical skill are overemphasized in others)
• A CULTURAL ISSUE: GIRLS
WG 2
10. SOME DATA:
# STUDENTS: 20 - 60 FOR EACH CLASS
# HOURS PER WEEK: 2.5 - 5
WG 21. TRANSITION
2. UNIFYING CONTENTS
3. LANGUAGE
4. NEW TECHNOLOGIES
5. CREATIVITY
6. TESTING
7. SOME CONTRADICTIONS
8. WINDS OF WAR
9. THE ISSUE OF GEOMETRY
10. SOME DATA
