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Sub-topic |
Block 1: Development of the mathematical thought
1. The mathematicians and the Childish Education.
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1.1. The importance of the Childish Education.
1.2. Theories of learning.
1.3. Sense of the mathematical education
in the Childish Education.
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2. The development of the numerical concepts.
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2.1. The learning of the arithmetic
concepts .
2.2. Development of the numerical concepts.
2.3. The development of the capacity to sum and subtract.
2.4. The representation and the meaning of the numbers.
2.5. Final comment envelope to Arithmetic.
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3. The space thought.
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3.1. *Introduction. Importance of the space thought.
3.2. The concept of space.
3.3. The theory of Van Hiele.
3.4. Development of any space concepts.
3.5. Conclusions envelope to representation of the space.
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4. The magnitudes and the measure.
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4.1. The magnitudes and the measure.
4.2. Acquisition of the concepts of magnitude and measure. Main stadiums. 4.3. Length.
4.3. Mass and weight.
4.4. Volume and capacity.
4.5. Time and money.
4.6. Conclusions on magnitude and measure.
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Block 2: Didactic of the mathematics in the Childish Education.
5. The process of education and learning.
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5.1. Education and learning.
5.2. The learning of mathematical concepts.
5.3. The learning in mathematicians according to Dienes.
5.4. The theory of situations of Brousseau.
5.5. The teaching of the Mathematician in the Childish Education.
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6. Objective and mathematical contents in the curriculum of the childish education.
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6.1. Objective of the education in mathematicians
6.2. Contents of mathematicians in the childish education.
6.2. Official guidelines.
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7. Resources and material.
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7.1. The game and the education in mathematics.
7.2. The mathematics workshop.
7.3. The resources and the materials in the childish education.
7.4. The material for mathematics.
7.5. Sources and bibliography.
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8. The mathematical activity in the Childish Education.
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8.1. The problems. The communication. The reasoning. The Connections.
8.2. Properties and relations of objects and collections.
8.3. The number.
8.4. Forms, orientation and representation in the space.
8.5. The measure. |
9. Organisation of the contained.
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9.1. Organisation and development of the contained.
9.2.- The globalization and the connections with other blocks.
9.3.- Secuenciación of the contained.
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| 10. The evaluation in mathematicians. |
10.1. Functions, phases and metods for the evaluation. |
11. The mathematics and special education.
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