AGE: 0-3
years old [NURSERY education]
How is the
logical-mathematical development?
0-1 years old: The brain is not
prepared for this development.
1-2 years old: symbolic thought
development and appearance with symbolic and language function on the brain.
+2 years old: decomposition of the
thoughts in: a) images b) symbols and concepts.
-Children start
using imitation, memory and their own thoughts. Also, they start to know that
objects which are hidden are still existing.
How this development must
be worked on educative centres?
-He must
work this development taking into account the perspective and constructive
conception of the materials or objects we are working on.
-Dynamic
learning by doing games, songs, images, stories... based on their around and
adapting them to all that information.
-The
development must be constant, individual and sometimes in groups; it’s very
important not to work it only at school, it has to be in all cases of the
live of the child (at home, with friends...)
-It’s important
to prevent wrong ways of thinking and wrong aptitudes.
What “Generalitat” says
about how to apply this development?
-Numbering
and calculation:
-Space and
forms:
-Measurement:
-Statistics
and random:
Do the
schools apply what scientists say, what “Generalitat” says or what they think
is the best?
AGE: 4-6
years old [PRIMARY education]
How is the
logical-mathematical development?
-They start
to have intuitive thinking, and it helps the child to strengthen the logical operations.
-Children
are able to think in a symbolical way and make simple operations.
How this development must
be worked on educative centres?
-In this
stage the development must be work by handling objects and linking their
together. An atmosphere with lot of stimulation can help in a very positive
way to make observations, manipulations and descriptions. It also can help to
distinguish particular things between abstract thoughts.
What “Generalitat” says
about how to apply this development?
Maths is an
obligatory subject at school because all the contents are essential for the
personal, social and academical live of the child. But, all this contents
aren’t gained if teachers don't show children how to use them in an everyday
life; because this is the main object of this subject.
-Numbering
and calculation: Knowing how to calculate simple addition and subtraction
operations, knowing how to use numbers
in a graphical, symbolic and verbal way up to 1 000, Knowing how to use the
Euro and developing the mental calculations.
-Relations
and changes: Making a selection, a classification and a rank with objects,
taking into account different standards.
-Space and
forms: Knowing figures in 2D and 3D on the reality and their properties.
-Measurement:
Recognizing the magnitudes: length, weight and time.
-Statistics
and random: Starting to learn how to make own questions and picking,
organizing and present information to solution them.
Do the
schools apply what scientists say, what “Generalitat” says or what they think
is the best?
AGE: 7-9
years old [PRIMARY education]
How is the
logical-mathematical development?
-From 7 years old: At this stage the child is able
to make his thought reversible as well as solving problems if the object is
present. This stage also develops the ability to serialize, classify and
mentally organize. The development is taking place in the socialization
process and relationships become more complex.
-This stage is suitable for solving concrete
problems in a logical way.
-Children start to understand conservation rules and
they are able to classify and order things.
How this development must
be worked on educative centres?
What “Generalitat” says
about how to apply this development?
Maths is an
obligatory subject at school because all the contents are essential for the
personal, social and academical live of the child. But, all this contents
aren’t gained if teachers don't show children how to use them in an everyday
life; because this is the main object of this subject.
-Numbering
and calculation: Knowing at all the decimal system, knowing how to make
multiplications and divisions, developing mental operations and dominate the
Euro.
-Relations
and changes: Learning how to create numerical and geometrical series and
apply it in different ways.
-Space and
forms: Representing and investigating about the relations between different
geometrical figures, describing, understanding, make maps and knowing how to
use technological objects.
-Measurement:
Knowing how to use magnitudes of length, height, volume, area, time and
degrees and making activities with them.
-Statistics
and random: Making questions based on usual facts and knowing how to answer
them with researched information previously well analysed. Also, starting to
describe facts in their degree of truth and predicting the results of some
simple experiments.
Do the
schools apply what scientists say, what “Generalitat” says or what they think
is the best?
AGE: 10-12
years old [PRIMARY education]
How is the
logical-mathematical development?
-They
start to stablish serial relations.
+12) -
Children have the capacity to solve abstract problems in a logical way.
-From 11 to
15 years old: In this period the teenager can do operations of second-degree.
At this stage the qualitative development reaches the highest points and they
develop idealist feelings.
How this development must
be worked on educative centres?
What “Generalitat” says
about how to apply this development?
Maths is an
obligatory subject at school because all the contents are essential for the
personal, social and academical live of the child. But, all this contents
aren’t gained if teachers don't show children how to use them in an everyday
life; because this is the main object of this subject.
-Numbering
and calculation: Recognizing and using fractions, decimal numbers and percentages
and manipulating them in different cases.
-Relations
and changes: Analysing the proprieties of numbers and knowing how to make
numerical and geometrical series.
-Space and
forms: Knowing perfectly all 2D and 3D figures. Representing figures on coordinate
axes, etc.
-Measurement:
Using magnitudes of length, height, volume, area, time and degrees and using their
international system.
-Statistics
and random: Solving difficult problems with other’s information and searching
for useful data, knowing how to use the calculator and other technological
objects and using statistics, random and logic for having good decisions in
real life.
Do the
schools apply what scientists say, what “Generalitat” says or what they think
is the best?
AGE: 13-15
years old [SECUNDARY education]
How is the
logical-mathematical development?
-Reflections
are understood in a scientific way.
-From 11 to
15 years old: In this period the teenager can do operations of second-degree.
At this stage the qualitative development reaches the highest points and they
develop idealist feelings.
How this development must
be worked on educative centres?
What “Generalitat” says
about how to apply this development?
-Numbering
and calculation:
-Space and
forms:
-Measurement:
-Statistics
and random:
Do the
schools apply what scientists say, what “Generalitat” says or what they think
is the best?
AGE: 16-18
years old [HIGHER education]
How is the
logical-mathematical development?
-Adolescents
are capable of highly abstract forms of thinking and reasoning.
How this development must
be worked on educative centres?
What “Generalitat” says
about how to apply this development?
-Numbering
and calculation:
-Space and
forms:
-Measurement:
-Statistics
and random:
Do the
schools apply what scientists say, what “Generalitat” says or what they think
is the best?
AGE: 0-3
years old [NURSERY education]
|
|
How is the
logical-mathematical development?
|
0-1 years old: The brain is not
prepared for this development.
1-2 years old: symbolic thought
development and appearance with symbolic and language function on the brain.
+2 years old: decomposition of the
thoughts in: a) images b) symbols and concepts.
-Children start
using imitation, memory and their own thoughts. Also, they start to know that
objects which are hidden are still existing.
|
How this development must
be worked on educative centres?
|
-He must
work this development taking into account the perspective and constructive
conception of the materials or objects we are working on.
-Dynamic
learning by doing games, songs, images, stories... based on their around and
adapting them to all that information.
-The
development must be constant, individual and sometimes in groups; it’s very
important not to work it only at school, it has to be in all cases of the
live of the child (at home, with friends...)
-It’s important
to prevent wrong ways of thinking and wrong aptitudes.
|
What “Generalitat” says
about how to apply this development?
|
-Numbering
and calculation:
-Space and
forms:
-Measurement:
-Statistics
and random:
|
Do the
schools apply what scientists say, what “Generalitat” says or what they think
is the best?
|
|
AGE: 4-6
years old [PRIMARY education]
|
|
How is the
logical-mathematical development?
|
-They start
to have intuitive thinking, and it helps the child to strengthen the logical operations.
-Children
are able to think in a symbolical way and make simple operations.
|
How this development must
be worked on educative centres?
|
-In this
stage the development must be work by handling objects and linking their
together. An atmosphere with lot of stimulation can help in a very positive
way to make observations, manipulations and descriptions. It also can help to
distinguish particular things between abstract thoughts.
|
What “Generalitat” says
about how to apply this development?
|
Maths is an
obligatory subject at school because all the contents are essential for the
personal, social and academical live of the child. But, all this contents
aren’t gained if teachers don't show children how to use them in an everyday
life; because this is the main object of this subject.
-Numbering
and calculation: Knowing how to calculate simple addition and subtraction
operations, knowing how to use numbers
in a graphical, symbolic and verbal way up to 1 000, Knowing how to use the
Euro and developing the mental calculations.
-Relations
and changes: Making a selection, a classification and a rank with objects,
taking into account different standards.
-Space and
forms: Knowing figures in 2D and 3D on the reality and their properties.
-Measurement:
Recognizing the magnitudes: length, weight and time.
-Statistics
and random: Starting to learn how to make own questions and picking,
organizing and present information to solution them.
|
Do the
schools apply what scientists say, what “Generalitat” says or what they think
is the best?
|
|
AGE: 7-9
years old [PRIMARY education]
|
|
How is the
logical-mathematical development?
|
-From 7 years old: At this stage the child is able
to make his thought reversible as well as solving problems if the object is
present. This stage also develops the ability to serialize, classify and
mentally organize. The development is taking place in the socialization
process and relationships become more complex.
-This stage is suitable for solving concrete
problems in a logical way.
-Children start to understand conservation rules and
they are able to classify and order things.
|
How this development must
be worked on educative centres?
|
|
What “Generalitat” says
about how to apply this development?
|
Maths is an
obligatory subject at school because all the contents are essential for the
personal, social and academical live of the child. But, all this contents
aren’t gained if teachers don't show children how to use them in an everyday
life; because this is the main object of this subject.
-Numbering
and calculation: Knowing at all the decimal system, knowing how to make
multiplications and divisions, developing mental operations and dominate the
Euro.
-Relations
and changes: Learning how to create numerical and geometrical series and
apply it in different ways.
-Space and
forms: Representing and investigating about the relations between different
geometrical figures, describing, understanding, make maps and knowing how to
use technological objects.
-Measurement:
Knowing how to use magnitudes of length, height, volume, area, time and
degrees and making activities with them.
-Statistics
and random: Making questions based on usual facts and knowing how to answer
them with researched information previously well analysed. Also, starting to
describe facts in their degree of truth and predicting the results of some
simple experiments.
|
Do the
schools apply what scientists say, what “Generalitat” says or what they think
is the best?
|
|
AGE: 10-12
years old [PRIMARY education]
|
|
How is the
logical-mathematical development?
|
-They
start to stablish serial relations.
+12) -
Children have the capacity to solve abstract problems in a logical way.
-From 11 to
15 years old: In this period the teenager can do operations of second-degree.
At this stage the qualitative development reaches the highest points and they
develop idealist feelings.
|
How this development must
be worked on educative centres?
|
|
What “Generalitat” says
about how to apply this development?
|
Maths is an
obligatory subject at school because all the contents are essential for the
personal, social and academical live of the child. But, all this contents
aren’t gained if teachers don't show children how to use them in an everyday
life; because this is the main object of this subject.
-Numbering
and calculation: Recognizing and using fractions, decimal numbers and percentages
and manipulating them in different cases.
-Relations
and changes: Analysing the proprieties of numbers and knowing how to make
numerical and geometrical series.
-Space and
forms: Knowing perfectly all 2D and 3D figures. Representing figures on coordinate
axes, etc.
-Measurement:
Using magnitudes of length, height, volume, area, time and degrees and using their
international system.
-Statistics
and random: Solving difficult problems with other’s information and searching
for useful data, knowing how to use the calculator and other technological
objects and using statistics, random and logic for having good decisions in
real life.
|
Do the
schools apply what scientists say, what “Generalitat” says or what they think
is the best?
|
|
AGE: 13-15
years old [SECUNDARY education]
|
|
How is the
logical-mathematical development?
|
-Reflections
are understood in a scientific way.
-From 11 to
15 years old: In this period the teenager can do operations of second-degree.
At this stage the qualitative development reaches the highest points and they
develop idealist feelings.
|
How this development must
be worked on educative centres?
|
|
What “Generalitat” says
about how to apply this development?
|
-Numbering
and calculation:
-Space and
forms:
-Measurement:
-Statistics
and random:
|
Do the
schools apply what scientists say, what “Generalitat” says or what they think
is the best?
|
|
AGE: 16-18
years old [HIGHER education]
|
|
How is the
logical-mathematical development?
|
-Adolescents
are capable of highly abstract forms of thinking and reasoning.
|
How this development must
be worked on educative centres?
|
|
What “Generalitat” says
about how to apply this development?
|
-Numbering
and calculation:
-Space and
forms:
-Measurement:
-Statistics
and random:
|
Do the
schools apply what scientists say, what “Generalitat” says or what they think
is the best?
|