Titlebook: Approaches to Algebra; Perspectives for Res Nadine Bernarz,Carolyn Kieran,Lesley Lee Book 1996 Kluwer Academic Publishers 1996 algebra.arit

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Grundlagen der empirischen Untersuchung,It is a matter of awakening and sharpening sensitivity to the presence and potential for algebraic thinking. Some examples of tasks which have been exploited in this way are presented with comments about some of the difficulties encountered.

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Zusammenfassung und Implikationen,t which is normally expected in algebra, we can get a better understanding of the fundamental changes required of pupils in the passage from one mode of treatment to the other (conflicts, necessary adjustments, new constructions). Any didactic setting (choice of appropriate situations and interventions) necessarily relies upon this knowledge.

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Leistung und Systemisch-integrative Führungrelevant results of the study are discussed, in particular those emphasizing the shift that pupils make within this environment from proceeding from the known to the unknown (pre-algebraic process) to dealing with the unknown in order to determine its numerical value (algebraic process).

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Expressing Generality and Roots of AlgebraIt is a matter of awakening and sharpening sensitivity to the presence and potential for algebraic thinking. Some examples of tasks which have been exploited in this way are presented with comments about some of the difficulties encountered.

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Emergence and Development of Algebra as a Problem-Solving Tool: Continuities and Discontinuities witt which is normally expected in algebra, we can get a better understanding of the fundamental changes required of pupils in the passage from one mode of treatment to the other (conflicts, necessary adjustments, new constructions). Any didactic setting (choice of appropriate situations and interventions) necessarily relies upon this knowledge.

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Developing Algebraic Aspects of Problem Solving within a Spreadsheet Environmentrelevant results of the study are discussed, in particular those emphasizing the shift that pupils make within this environment from proceeding from the known to the unknown (pre-algebraic process) to dealing with the unknown in order to determine its numerical value (algebraic process).

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0924-4921 f of the 19th century, Euclid‘s Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool 978-0-7923-4168-0978-94-009-1732-3Series ISSN 0924-4921 Series E-ISSN 2214-983X

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Approaches to Algebra: Perspectives for Research and Teachingen reduces algebra), the solving of specific problems or classes of problems (which has played an important role historically in the development of algebra and its teaching), the generalization of laws governing numbers (a very strong focus in certain curricula), the more recent introduction of the