1. Bridges through History with Maths
Liceo Classico Statale "Cristoforo Colombo"
Sredno obshtoobrazovatelno uchilishte “Zheleznik”
The Greek delegation
Genova November 2010
Uskudar Cagribey Anadolu Lisesi
Silkeborg Gymnasium
Lycée Antoine de Saint Exupéry
3rd General Lyceum Of Karditsa
Escola Secundária Com 3.º Ciclo D. Manuel I

2. 3rd General Lyceum of Karditsa
Some figures and Information
335 students and 36 teachers
197 students girls and 16 teachers ladies
Class A (55 boys and 81 girls 15 – 16 yo)
Only General learning objects (32 hours weekly)
5 hours per week Maths (3 Algebra and 2 Geometry)
Class B (34 boys and 55 girls 16 – 17 yo)
General learning objects (27 hours weekly, 2 hours Algebra, 2 hours Geometry)
and three directions on special studies
Class C (49 boys and 61 girls 17 – 18 yo)
General learning objects (19 hours weekly, 2 hours Maths-Statistics)

3. Directions Class B Class C Theoretical Positive Technological
Focus on Humanistic studies
7 hours weekly
(ancient Greek, Latin, Philosophy)
12 hours weekly
(ancient Greek, Latin, History, literature)
Positive
Focus on Maths and
Science studies
Class B
7 hours weekly (3 hours Maths, 2 Physics and 2 Chemistry)
Class C
12 hours weekly (5 hours Maths, 3 Physics, 2 Chemistry and 2 Biology)
Technological
Focus on Maths and
Science studies
7 hours weekly (3 hours Maths,
2 Physics, 2 ICT)
12 hours weekly (5 hours Maths, 3 Physics, 2 ICT and 2 Management)

4. Algebra A Class Lyceum
Numbers (real, absolute values, first grade equations and inequalities, radicals)
Functions (definitions, f(x)=ax+b, graphs
Linear equation systems (two or more variables)
Second grade equations and inequalities
Function f(x)=ax2+bx+c
Trigonometry (sin, cos, tan, congruences)

5. Algebra B Class Lyceum
Trigonometry (basic equations, angles, trigonometric numbers and transformations, functions, triangle solution)
Multinomials (equations, splits)
Progressions (arithmetic, geometric)
Logarithms

6. Euclidean Geometry A and B Class Lyceum
Idroduction
Basic geometric shapes
Triangles (types, equalities)
Circle (perpendicular bisector, symmetry, angles, circle measures)
triangle sides Inequalities
Straight line and circle positions
circle positions
Simple geometric constructions
Parallel straight lines

7. Euclidean Geometry A and B Class Lyceum
Plane shapes features and properties
geometric locus
Proportions
Triangle similarities
Pythagorean
Measure of surfaces
Straight lines, planes and space
3D shapes and measurements

8. Special Maths B Class Lyceum (for positive and technological sciences direction)
Vectors
Straight line
Conics
Numbers theory (induction, divisibility, prime numbers, linear equation of Diofantos)

9. General Maths C Class Lyceum
Statistics
Probabilities
Calculus (elements)

10. Special Maths C Class Lyceum (for positive and technological sciences direction)
Matrices
Complex valued
Calculus (real numbers, functions, limits, continuance)
Differential calculus (derivative, mean value theorem, extrema, turning points, L’ Hospital rules, graphs)
Integral calculus (indefinite and definite integral, integration methods, differential equations, integral mean value theorem, plane shapes area)

11. Students involved in the project
27 girls and 13 boys from class A
10 girls and 8 boys from class B
58 students in total
The participation is open for new students

12. Discussion
We think that topics should be within the students’ potential
We agree with the titles of the threads.
The big deal is to create one document per topic. Steps to this goal need to be discussed. We don’t know how to proceed.
Finally we hope with our dialogue to define the best way to organise and develop the project.
Thank you