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By Bartolucci D.

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Extra resources for A ''sup+ c inf'' inequality for the equation -delta u = [ V(x2a)]eu

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It is clearly pointed out in the models proposed by Berliner (1988) and Lian (2008) (reviewed above) that some teachers will retire as competent or proficient teachers, the growth of their teaching expertise stalled despite their continuing to accumulate teaching experience. Secondly, student achievement is influenced by many factors other than teacher expertise (Berliner, 2004), and the degree a teacher, even an expert teacher, influences student achievement is unknown (Ropo, 2004). , 2000), since 1980s there has been, without much theoretical guidance (Berliner, 2004), increasing research interest in exploring expert teachers’ characteristics, many of which have been identified based on comparing expert and novice teachers, and may have been mentioned in the pedagogy expertise development model or the prototypical models.

The first, “creative” expert teacher, is generally reached by a small number of teachers after ten to fifteen years of teaching. Teachers at this stage possess rich and well organized knowledge, and are efficient and insightful when solving teaching problems. Teachers at the second substage, “leader” expert teacher, generally have at least fifteen to twenty years of teaching experience and are able to influence teaching reform and development in their school or district; they become “leaders” in their teaching subject and in the district where s/he is working.

In order to understand the conception of “expert teacher” more deeply, Zhang (2005) separated the term into two parts: “expert” and “teacher”. According to Zhang (2005), several things should be noted in defining “expert”. Firstly, an expert only has expertise in a particular subject or field. Secondly, an expert is so called because s/he is compared with non-experts in the same field. Thirdly, an expert is a person with some special expertise. 163). However, as Bucci noted, “expert is a term with varied meanings, dependent upon the social and experiential travels of the rhetorician” (Bucci, 2003, p.

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A ''sup+ c inf'' inequality for the equation -delta u = [ V(x2a)]eu by Bartolucci D.

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