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Iliada Elia Athanasios Gagatsis Areti Panaoura Theodosis Zachariades Fotini Zoulinaki 《International Journal of Science and Mathematics Education》2009,7(4):765-790
The present study explores students’ abilities in conversions between geometric and algebraic representations, in problem-
solving situations involving the concept of “limit” and the interrelation of these abilities with students’ constructed understanding
of this concept. An attempt is also made to examine the impact of the “didactic contract” on students’ performance through
the processes they employ in tackling specific tasks on the concept of limit. Data were collected from 222 12th-grade high
school students in Greece. The results indicated that students who had constructed a conceptual understanding of limit were
the ones most probable to accomplish the conversions of limits from the algebraic to the geometric representations and the
reverse. The findings revealed the compartmentalized way of students’ thinking in non-routine problems by means of their performance
in simpler conversion tasks. Students who did not perform under the conditions of the didactic contract were found to be more
consistent in their responses for various conversion tasks and complex problems on limits, compared to students who, as a
consequence of the didactic contract, used only algorithmic processes. 相似文献
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Theodossios Zachariades Constantinos Christou Demetra Pitta-Pantazi 《Educational Studies in Mathematics》2013,82(1):5-22
The aim of this paper is to propose a theoretical model to analyze prospective teachers?? reasoning and knowledge of real numbers, and to provide an empirical verification of it. The model is based on Sierpinska??s theory of theoretical thinking. Data were collected from 59 prospective teachers through a written test and interviews. The data indicated that mathematical tasks on real numbers, based on Sierpinska??s theory, could be categorized according to whether they require reflective, systemic or analytic thinking. Analysis of the data identified three different groups of prospective teachers reflecting different types of theoretical thinking about real numbers. The interviews confirmed the empirical data from the written test, and provided a better insight into the thinking and characteristic features of the prospective teachers in each group. The analysis also indicated that the participants were more successful in tasks requiring systemic and analytic thinking, and only when this was achieved were they able to solve problems which required reflective thinking. Implications for teaching related to the findings of the study are discussed. 相似文献
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Irene Biza Elena Nardi Theodossios Zachariades 《Journal of Mathematics Teacher Education》2007,10(4-6):301-309
Research often reports an overt discrepancy between theoretically/out-of context expressed teacher beliefs about mathematics and pedagogy and actual practice. In order to explore teacher knowledge in situation-specific contexts we have engaged mathematics teachers with classroom scenarios (Tasks) which: are hypothetical but grounded on learning and teaching issues that previous research and experience have highlighted as seminal; are likely to occur in actual practice; have purpose and utility; and, can be used both in (pre- and in-service) teacher education and research through generating access to teachers’ views and intended practices. The Tasks have the following structure: reflecting upon the learning objectives within a mathematical problem (and solving it); examining a flawed (fictional) student solution; and, describing, in writing, feedback to the student. Here we draw on the written responses to one Task (which involved reflecting on solutions of $ {\left| x \right|} + {\left| {x - 1} \right|} = 0 $ ) of 53 Greek in-service mathematics teachers in order to demonstrate the range of teacher knowledge (mathematical, didactical and pedagogical) that engagement with these tasks allows us to explore. 相似文献
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Elena Nardi Irene Biza Theodossios Zachariades 《Educational Studies in Mathematics》2012,79(2):157-173
In this paper, we propose an approach to analysing teacher arguments that takes into account field dependence—namely, in Toulmin’s
sense, the dependence of warrants deployed in an argument on the field of activity to which the argument relates. Freeman,
to circumvent issues that emerge when we attempt to determine the field(s) that an argument relates to, proposed a classification
of warrants (a priori, empirical, institutional and evaluative). Our approach to analysing teacher arguments proposes an adaptation of Freeman’s classification that distinguishes between:
epistemological and pedagogical a priori warrants, professional and personal empirical warrants, epistemological and curricular
institutional warrants, and evaluative warrants. Our proposition emerged from analyses conducted in the course of a written
response and interview study that engages secondary mathematics teachers with classroom scenarios from the mathematical areas
of analysis and algebra. The scenarios are hypothetical, grounded on seminal learning and teaching issues, and likely to occur
in actual practice. To illustrate our proposed approach to analysing teacher arguments here, we draw on the data we collected
through the use of one such scenario, the Tangent Task. We demonstrate how teacher arguments, not analysed for their mathematical
accuracy only, can be reconsidered, arguably more productively, in the light of other teacher considerations and priorities:
pedagogical, curricular, professional and personal. 相似文献
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Giorgio A. Tasca Kerri Ritchie Fotini Zachariades Genevieve Proulx Anne Trinneer Louise Balfour Natasha Demidenko Genevieve Hayden Alison Wong Hany Bissada 《Child abuse & neglect》2013
Objectives
Childhood maltreatment occurs often among those with an eating disorder and is considered a nonspecific risk factor. However, the mechanisms by which childhood maltreatment may lead to an eating disorder are not well understood. The current study tests a model in which attachment insecurity is hypothesized to mediate the relationship between childhood maltreatment and eating disorder psychopathology.Method
Treatment seeking adults with eating disorders (N = 308) completed questionnaires about childhood maltreatment, eating disorder psychopathology, and adult attachment.Results
Structural equation models indicated that childhood trauma had a direct effect on eating disorder symptoms. Also, attachment anxiety and avoidance each equally mediated the childhood maltreatment to eating disorder psychopathology relationship.Conclusions
Attachment insecurity, characterized by affect dysregulation and interpersonal sensitivities may help to explain why eating disorder symptoms may be one consequence of childhood maltreatment in a clinical sample. Clinicians treating primarily those with trauma might assess for disordered eating as a potential manifestation of the sequelae of trauma and attachment insecurity. 相似文献
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