By Eugenio Filloy
This ebook takes a theoretical point of view at the learn of faculty algebra, within which either semiotics and background take place. The Methodological layout allows the translation of particular phenomena and the inclusion of facts no longer addressed in additional common remedies. The ebook supplies precedence to "meaning in use" over "formal meaning". those ways and others of comparable nature result in a spotlight on competence instead of a user’s job with mathematical language.
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Extra resources for Educational Algebra: A Theoretical and Empirical Approach (Mathematics Education Library)
When treating the theme of the formalism of written language, Pimm necessarily touches on the subject of symbolic algebra, inasmuch as it is an essential reference when speaking of a system of symbols in mathematics, and of their syntax and grammar. His analysis also tackles the theme of the role of natural language in teaching and learning in mathematics, with special emphasis on how the meanings assigned to words in colloquial language are spontaneously transferred by children to mathematics.
This generally leads to the production of curriculum designs in which the confusion reaches the most elementary strands in the curriculum. Of course, plunging spontaneously into the design of a curriculum can have even worse results, in which the path followed by the curriculum design leads to a tangle 30 CURRICULUM DESIGN AND DEVELOPMENT of contradictions and lines of force that interweave, mingle, or clash without rhyme or reason. All this is no more than a preamble to the need to clarify the conception of the nature of the mathematics that is brought into play in the curriculum.
The second characteristic has precisely to do with this. The second characteristic is the fact that a theoretical model describes a type of object or system by attributing to it what might be called an internal structure, a composition or mechanism that, when taken as a reference, will explain various properties of that object or system. A theoretical model, therefore, analyzes a phenomenon that exhibits certain known regularities by reducing it to more basic components, and not simply by expressing those regularities in quantitative terms or by relating the known properties to those of different objects or systems.