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GOOD PRACTICES RELATED TO EXTERNAL
ASSESSMENTS IN MATHS
CARMEN MONZÓ GONZÁLEZ
IES AMPARO SANZ – ALBACETE (SCMPM)
IES AMPARO SANZ
Outskirts
Close to a deprived
area
Natural barriers
Unique district
Number of students
decreasing
370 Students + 39 t.
Lots of projects Bilingualism-English
STRENGTHS+
POSITIVE CLIMATE OF COHABITATION
CONSOLIDATED LINGÜISTIC PROJECT
GOOD COMMUNICATION FAMILIES
GOOD EXTERNAL RESULTS
MOTIVATED TEACHERS
WEAKNESSES -
OBSOLETE FACILITIES
OBSOLETE TECHNOLOGICAL RESOURCES
LOW QUALIFICATION ON ICT
OPPORTUNITIES+
SMALL SCHOOL, EASY TO MANAGE
NO BEHAVIOUR PROBLEMS
PLURILINGUALISM LAW
STABLE STAFF
PISA QUESTIONS
THREATS-
CUT-BACKS
UNIQUE DISTRICT. COMPETENCE WITH OTHER
SCHOOLS
LEGISLATIVE CHANGES
CUTS IN BUDGETS
OBSOLETE TECHNOLOGICAL RESOURCES
“ In many organizations, the problem is
not the absence of innovations, but the
presence of too many disconnected,
episodic, piecemeal projects with
superficial implementation.”
Michael Fullan, professor at Toronto
University
“ If you don’t know where you are
going,any road will get you there.”
Lewis Carroll
CYCLE OF CONTINUOUS IMPROVEMENT
ANALYSE
+ DECIDE
PLAN
APPLY
ASSESS
MATHS
PISA ENGLISH
PISA (Programme for International Student Assesment)
RELEASED ITEMS 2006 AND 2012
• PISA examines how well students are prepared to
meet challenges of the future, rather than how well
they master particular curricula.
• The web page is a good source of activities in English.
• Designed for 15-year-old students, but adaptable to
almost all levels.
• In every activity, we can use other resources like
Geogebra, to represent graphs and shapes.
• The INEE publised these activities organised by
subject: Arithmetics, Geometry, Functions, Statistics
and Probability.
• QUESTION 3. Calculate the surface area of the
roof, formed by four equal triangles.
• QUESTION 4. Calculate the volume of the
pyramid.
• QUESTION 5. We want to panel the roof. The
panelling costs 80 €/ m2. Calculate the total
price, taking into account that the carpenter
charges a fee of 500 € for his job , and he applies
a VAT of 10% to the total price.
• QUESTION 6. Use Geogebra 3D to represent the
pyramid using the indicated measurements. You
should obtain an image like this:
•
KEYWORDS
Farm Square –based pyramid Measurement
Edge Triangle Length
Roof Square Height
Shape Segment Beams
Equilateral Panelling Fee
VAT Surface
KEYWORDS
Average Gradient / Slope Range
Height Curve Intersection point
Male/Female Steepness Graph
Increase Variables Interval
Decrease Scale Grow
Axis Growth rate Domain
QUESTION 3. According to this graph, on average, during
which period in their life are females taller than males of the
same age?
QUESTION 4. Is that graph a function? Why? Can you find
out the domain and the range? What are the variables
involved? And the scale? Why are the axes broken?
MORE RESOURCES FROM THE WEB
MASCIL PROJECT (MATHS AND SCIENCE FOR LIFE)
http://www.mascil-project.eu/activities/what-
we-do
(PROBLEM OF THE MONTH)
KANGAROO MATHS
http://www.kangaroomaths.com/index.php
PROJECT :
http://carmonzo.wix.com/detestable-equations#
KEY COMPETENCES MOSTLY
DEVELOPED
1. Mathematical competence
2. Linguistic competence
3. Digital competence
4. Learning to learn
5. Cultural awareness and expression
6. Social and civic competences
7. Initiative and entrepreneurship
CONCLUSIONS
1. External tests help us to improve.
2. Money investment is important.
3. Smaller class size is important.
4. But the most important thing is a
consistent quality of teaching. That
can be improved by
1. Selecting teachers with an
appropriate process
2. Improving teacher training.
5. High performance requires every child
to succeed. Pay attention to all students.
HOW CAN WE DO BETTER?
1. Look for motivation and training in the
areas we need.
2. Connect curriculum with external tests.
3. Choose good textbooks.
4. Choose good resources from the web.
5. Prepare our own material and use the
appropriate resources.
6. Transfer our motivation to the students.
7. The governments should organise training
courses on external assessments
Francesc Pedró
Senior policy analyst at the OECD
Centre for Educational Research and
Innovation (CERI) in Paris (France).
THANK YOU

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Teachers Understanding Maths in PISA

  • 1. GOOD PRACTICES RELATED TO EXTERNAL ASSESSMENTS IN MATHS CARMEN MONZÓ GONZÁLEZ IES AMPARO SANZ – ALBACETE (SCMPM)
  • 2. IES AMPARO SANZ Outskirts Close to a deprived area Natural barriers Unique district Number of students decreasing 370 Students + 39 t. Lots of projects Bilingualism-English
  • 3. STRENGTHS+ POSITIVE CLIMATE OF COHABITATION CONSOLIDATED LINGÜISTIC PROJECT GOOD COMMUNICATION FAMILIES GOOD EXTERNAL RESULTS MOTIVATED TEACHERS WEAKNESSES - OBSOLETE FACILITIES OBSOLETE TECHNOLOGICAL RESOURCES LOW QUALIFICATION ON ICT OPPORTUNITIES+ SMALL SCHOOL, EASY TO MANAGE NO BEHAVIOUR PROBLEMS PLURILINGUALISM LAW STABLE STAFF PISA QUESTIONS THREATS- CUT-BACKS UNIQUE DISTRICT. COMPETENCE WITH OTHER SCHOOLS LEGISLATIVE CHANGES CUTS IN BUDGETS OBSOLETE TECHNOLOGICAL RESOURCES
  • 4. “ In many organizations, the problem is not the absence of innovations, but the presence of too many disconnected, episodic, piecemeal projects with superficial implementation.” Michael Fullan, professor at Toronto University “ If you don’t know where you are going,any road will get you there.” Lewis Carroll
  • 5. CYCLE OF CONTINUOUS IMPROVEMENT ANALYSE + DECIDE PLAN APPLY ASSESS
  • 7. PISA (Programme for International Student Assesment) RELEASED ITEMS 2006 AND 2012 • PISA examines how well students are prepared to meet challenges of the future, rather than how well they master particular curricula. • The web page is a good source of activities in English. • Designed for 15-year-old students, but adaptable to almost all levels. • In every activity, we can use other resources like Geogebra, to represent graphs and shapes.
  • 8. • The INEE publised these activities organised by subject: Arithmetics, Geometry, Functions, Statistics and Probability.
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  • 12. • QUESTION 3. Calculate the surface area of the roof, formed by four equal triangles. • QUESTION 4. Calculate the volume of the pyramid. • QUESTION 5. We want to panel the roof. The panelling costs 80 €/ m2. Calculate the total price, taking into account that the carpenter charges a fee of 500 € for his job , and he applies a VAT of 10% to the total price. • QUESTION 6. Use Geogebra 3D to represent the pyramid using the indicated measurements. You should obtain an image like this: •
  • 13. KEYWORDS Farm Square –based pyramid Measurement Edge Triangle Length Roof Square Height Shape Segment Beams Equilateral Panelling Fee VAT Surface
  • 14.
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  • 16. KEYWORDS Average Gradient / Slope Range Height Curve Intersection point Male/Female Steepness Graph Increase Variables Interval Decrease Scale Grow Axis Growth rate Domain QUESTION 3. According to this graph, on average, during which period in their life are females taller than males of the same age? QUESTION 4. Is that graph a function? Why? Can you find out the domain and the range? What are the variables involved? And the scale? Why are the axes broken?
  • 17. MORE RESOURCES FROM THE WEB MASCIL PROJECT (MATHS AND SCIENCE FOR LIFE) http://www.mascil-project.eu/activities/what- we-do (PROBLEM OF THE MONTH) KANGAROO MATHS http://www.kangaroomaths.com/index.php PROJECT : http://carmonzo.wix.com/detestable-equations#
  • 18. KEY COMPETENCES MOSTLY DEVELOPED 1. Mathematical competence 2. Linguistic competence 3. Digital competence 4. Learning to learn 5. Cultural awareness and expression 6. Social and civic competences 7. Initiative and entrepreneurship
  • 19. CONCLUSIONS 1. External tests help us to improve. 2. Money investment is important. 3. Smaller class size is important. 4. But the most important thing is a consistent quality of teaching. That can be improved by 1. Selecting teachers with an appropriate process 2. Improving teacher training. 5. High performance requires every child to succeed. Pay attention to all students.
  • 20. HOW CAN WE DO BETTER? 1. Look for motivation and training in the areas we need. 2. Connect curriculum with external tests. 3. Choose good textbooks. 4. Choose good resources from the web. 5. Prepare our own material and use the appropriate resources. 6. Transfer our motivation to the students. 7. The governments should organise training courses on external assessments
  • 21. Francesc Pedró Senior policy analyst at the OECD Centre for Educational Research and Innovation (CERI) in Paris (France).