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TEST BORRADO, QUIZÁS LE INTERESE: matemáticas y su didactica

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Título del Test: matemáticas y su didactica Descripción: examen tipo test matematicas y su didactica I umu Autor: yo OTROS TESTS DEL AUTOR Fecha de Creación: 12/11/2024 Categoría: Matemáticas Número Preguntas: 30

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The primitive numeral system is a solution for the following problem: To invent numbers. To make indirect comparisons with respect to the magnitude cardinality. To make calculations. When dealing with a magnitude: We can only make indirect comparisons by using units of measurement. We can make indirect comparisons without using units of measurement. We can only make indirect comparisons by using indirect pairing. Calculations can be regarded as: A way of making indirect measurement. A way of making direct measurement. A way of making direct comparisons. The things we compare with respect to the magnitude cardinality are: Sets or collections of objects. Numbers. Cardinals. The following is not a derived magnitude: Mass. Volume. Area. . The commutative property for the multiplication of numbers we have studied states that: If n and m numbers, then n times m objects is the same as m times n objects. If you put several objects in a rectangular configuration, then the number of columns equals the number of rows. In an addition the order of the addends does not affect the final result. Multiplication is: An addition with identical addends. Only possible in numeral systems in which the distributive property holds. What we do to avoid long additions with identical addends. . When dealing with a magnitude, to use several units of measurement at the same time is: Impossible. Possible. Only possible after the invention of the 0 and the 1. . Calculation in columns: Is not related to the use of several units of measurement when dealing with the magnitude cardinality. First appears in the additive numeral system (each column corresponds to one kind of unit of measurement). First appears in the additive-multiplicative numeral system, after the introduction of the addition and the multiplication tables, in which we can find not only columns but also rows. Additive comparative systems give rise to: Proportional metrical systems. Ordinary metrical systems. Additive numeral system. . The additive-multiplicative numeral system is a solution for the following problem: Calculations in the additive numeral system are complicated since we can miss some symbol. We need coefficients. We need both addition and mutiplication tables. Direct measurement is done through: Direct comparison. Indirect comparison. Calculations. Multiplications can be regarded as a way of measuring indirectly: The set formed by the objects we have all in all when we have several sets of different size. The set formed by the objects we have all in all when we have several sets of the same size. The effectivity of the distributive property. In ordinal metrical systems: We measure an object by counting how many times a unit of measure ‘fit’ in that object. We deal with temperature, because it is not a proportional metrical system. We do not measure an object by counting how many times a unit of measure ‘fit’ in that object. . The things we compare with respect to the magnitude probability are: Outcomes or results of random experiment. Outcomes or results of deterministic experiment, and this why we can determine which of the two results is most likely. Long-term repetitions of random experiments. The following is a derived magnitude: Mass. Cardinality. Speed. The commutative property for the multiplication of natural numbers states that: We can solve a long addition without adding the corresponding addends. If a, b and c are numbers, then c times a + b equals c times a plus c times b. If a and b are numbers, then a times b objects equals b times a objects. When working with the magnitude cardinality: We make divisions to face two different kind of tasks. We make divisions to face different kind of tasks, depending on the size of the divisor. We make divisions to face different kind of tasks, depending both on the size of the divisor and the size of the dividend. The magnitude time: Does not have a standard technique to carry out direct comparisons. Admits both standard and non-standard units of measurement. Is a derived magnitude, as it is involved in the definition of the magnitude speed. Multiplication tables first appear in the Additive-multiplicative numeral system. Additive numeral system, since we make a table (taking doubles) in one of the techniques of the multiplication. Primitive numeral system, but they are not used since we do not really make multiplications in that numeral system. The additive numeral system is a solution for the following problem: Calculations in the primitive numeral system are complicated since it is easy to miss a tally mark. The absence of symbols representing tens, hundreds, etc. The absence of several units of measurement when dealing with the magnitude cardinality. Units of measurement: Are useful to carry out direct comparisons. Give rise to ordinal metrical systems. Are useful to carry out indirect comparisons. Subtractions: Are useful for direct comparisons. In the additive-multiplicative system, they must be done by means of addition tables. Can be regarded as a way of measuring indirectly. In proportional metrical system: Measures are more informative than they are in ordinal metrical system. Measures are as informative as they are in ordinal metrical system Measures are more informative than they are in ordinal metrical system only if we use standard units of measurement. The things we compare with respect to the magnitude time are: Seconds, minutes, hours and days. Speed and acceleration. Time intervals or lapses. The following is not a derived magnitude: Area. Volume. Length. The distributive property for numbers states that: If a, b and c are numbers, then a + b times c equals a times c or b times c. If a, b and c are numbers, then a + b times c equals a times c plus b times c. A multiplication can always be simplified by splitting it into multiplications with smaller factors. When working with the magnitude cardinality, we make subtractions to face: Two different kinds of tasks Two different kinds of task only if we do not have to borrow. Carry out different techniques (infinite row, finite row, addition table, borrow, no borrow). . In the additive-multiplicative numeral system: There are subtracting symbols because we can make subtractions. There are not coefficients, because there is still no 0 and no 1. There are virtually an infinite amount of units of measurement plus several coefficients. Addition tables first appear in the: Additive numeral system, because we consider doubles of certain number when doing mutiplications. Additive-multiplicative numeral system. Additive-subtractive numeral system, where we sometimes add a certain number both to the minuend and to the subtrahend. .

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