martes, 26 de junio de 2012

Chart of ages about useful information of the development in different cases


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?






martes, 19 de junio de 2012