Teachers Understanding Maths in PISA

GOOD PRACTICES RELATED TO EXTERNAL ASSESSMENTS IN MATHS

CARMEN MONZÓ GONZÁLEZIES AMPARO SANZ – ALBACETE (SCMPM)

IES AMPARO SANZ

OutskirtsClose to a deprived areaNatural barriersUnique districtNumber of students decreasing370 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:

•

KEYWORDSFarm Square –based pyramid MeasurementEdge Triangle LengthRoof Square HeightShape Segment BeamsEquilateral Panelling FeeVAT Surface

KEYWORDSAverage Gradient / Slope RangeHeight Curve Intersection pointMale/Female Steepness GraphIncrease Variables IntervalDecrease Scale GrowAxis 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 competence2. Linguistic competence3. Digital competence4. Learning to learn5. Cultural awareness and expression 6. Social and civic competences7. Initiative and entrepreneurship

CONCLUSIONS1. 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

“Nothing great in the world was accomplished without passion”

Hegel