Reconceitualização das categorias de skemp de compreensão relacional e compreensão instrumental como critérios globais

The thesis presents a systematic description about the meaning, as Skemp, relational understanding and understanding instrumental, in the context of mathematics learning, being that we had as a guide his understanding of the schema. Especially, we analyze some academic productions, in the area of Mathematics Education, who used the categories of understanding relational and instrumental understanding how evaluative instrument and we see that in most cases the analysis is punctual. Being so, whereas the inherent understanding relational schema has a network of connected ideas and non-insulated, we investigated if the global analysis, where it is the understanding of the diversity of contributory concepts for formation of the concept to be learned, is more appropriate than the punctual, where does the understanding of concepts so isolated. For this, we apply a teaching module, having as main content the Quaternos Pythagoreans using History of Mathematics and the work of Bahier (1916). With the data we obtained the teaching module to use the global analysis and the punctual analysis, using research methodology the Case Study, and consequently we conduct our inferences about the levels of understanding of the subject which has made it possible for us to investigate the ownership of global analysis at the expense of punctual analysis. On the opportunity, we prove the thesis that we espouse in the course of the study and, in addition, we highlight as a contribution of our research evidence of need for a teaching of mathematics that entices the relational understanding and that evaluation should be global, being necessary to consider the notion of schema and therefore know the schematic diagram of the concept that will be evaluated

A interpretação dos sintagmas nominais com adjetivos atributivos por alunos de inglês instrumental

This present work has as objective to analyze the interpretation of the syntactic and semantic meaning performed by third graders in the nominal groups (NGs) with attributive adjectives in the English language in a text of the final exam in the ESP (English for Specific Purposes) discipline. The corpus is made up of 30 exams of two classes from a third grade institution of the biomedical area, corresponding to the basic and advanced levels of the second term in 2006. The text has 24 NGs of different lexical content, a total of 27 NGs in the whole text summing up to 810 analyzed occurrences. The analysis is carried out at the morphologic, syntactic and semantic levels using as theoretical background the traditional and functional grammars (QUIRK et al, 1985; CELSE-MURCIA et al, 1998; TUCKER, 1998), in their semantic aspects, the Semantics (FRAWLEY, 1992) and the Cognitive Linguistics (TAYLOR, 2002). We concluded that the main difficulties were due to the lack of vocabulary and to the use of mother tongue strategies instead of using the top-down strategies for reading a text in English to compensate this gap. We also observed that even when the vocabulary was known, there were difficulties in establishing the semantic and syntactic relations between modifier and noun head. We suggested improvements for the teaching of reading English texts at the third grade grounded in the obtained results such as a more comprehensive study of the several different morphologic and syntactic structures of the NGs with premodifiers and their semantic consequences, an approach of the morphologic, syntactic and semantic aspects of the NGs and the use of both top-down and bottom-up strategies when reading a NG in the English language