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Titlebook: Mathematical Problem Solving and New Information Technologies; Research in Contexts João Pedro Ponte,João Filipe Matos,Domingos Fernan Conf

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Problem Solving, Mathematical Activity and Learning: The Place of Reflection and Cognitive Conflictds of mathematical activity, including the gaining of insights into phenomena through the application of mathematical ideas and processes. But beyond simply . mathematical activity, efective . (which leaves the students more competent at these activities afterwards than they were before) needs tasks
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Pre-Algebraic Problem Solving,symmetric; is ruled by “the logic of when”; is close to the meaning of symbols; its main epistemological style is arithmetic. The latter is symmetric; is ruled by “the logic of iff”; is syntactic, insofar concrete meaning have evaporated; its epistemological style is anti-arithmetic. But procedural
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Problem Solving in Geometry: From Microworlds to Intelligent Computer Environments,the computer giving “objective” feedback is used as a tool and (b) situations in which the computer provides an aid based on an evaluation of the performance of the student (guided activity). In the first kind of situations, we analyze to what extent the constraints and feedback of a computer enviro
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Task Variables in Statistical Problem Solving Using Computers,ted. The objective of this didactical — mathematical analysis is to provide criteria of selection of the said problems, directed to guiding the student‘s learning towards the adequate meanings of the statistical notions and to the development of their ability to solve problems.
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Cognitive Processes and Social Interactions in Mathematical Investigations,iculties may concern students‘ content knowledge, reasoning processes, and general attitudes and appreciation. This paper refers to a computer based investigation undertaken by three eight-grade students, discussing in special their cognitive processes and social interactions.
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