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        Pre-Service Teachers' Mathematical Reasoning as an Imperative for Codified Conceptual Pedagogy in Algebra: A Case Study in Teacher Education

        Belinda de Castro 서울대학교 교육연구소 2004 Asia Pacific Education Review Vol.5 No.2

        Through the use of taped interviews, the reasoning level of eleven (11) pre-service teachers relative to selected concepts in Algebra was ascertained. Yumus’ (2001) levels of reasoning were applied as a guide, namely: (a) Level 1: Unable to produce any reasoning, (b) Level 2: Have awareness of the models, known facts, properties and relationships to be used but cannot produce any arguments; (c) Level 3: Able to produce some reasoning although the arguments are weak and (d) Level 4: Able to produce strong arguments to support their reasoning. Using this guide it was found that of the 121 responses given, 47.1% were at level 1, 29.8% at level 2, 16.5% at level 3 and only 6.6% were at level 4. The most difficult problem proved to be converting repeating decimals to fractions, while the easiest was on finding the value of x0. As a whole, the reasoning ability of the respondents, based to their average reasoning ability on the given tasks, indicate that 73% was low, 27% was moderate and that nobody had a high level of reasoning. Assessments followed as to the factors contributing to this situation and possible solutions.

      • KCI등재

        Cognitive models: The missing link to learning fraction multiplication and division

        Belinda V. de Castro 서울대학교 교육연구소 2008 Asia Pacific Education Review Vol.9 No.2

        This quasi-experimental study aims to streamline cognitive models on fraction multiplication and division that contain the most worthwhile features of other existing models. Its exploratory nature and its approach to proof elicitation can be used to help establish its effectiveness in building students' understanding of fractions as compared to the traditional algorithmic way of teaching, vis-a-vis the students' negative notions about learning fractions. Interestingly, the study showed the benefits and drawbacks of using these cognitive models in the teaching and learning of mathematics.

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        Push and pull factors affecting Filipino students’ Shadow Education (SE) participation

        Belinda V. de Castro,Allan B. de Guzman 한국교육개발원 2010 KEDI Journal of Educational Policy Vol.7 No.1

        While a number of national studies have been conducted in various parts of the globe, determinant patterns of shadow education (SE) in the Philippines is still unknown. This study aims to establish preliminary data on the factors that determine SE participation of a select group of 1,235 Filipino basic education students. Respondents were asked to accomplish a researcher-made instrument (Cronbach α = 93.5%), wherein data was treated in-depth through descriptive and inferential statistics. Results revealed that despite the rising education cost vis-à-vis students’ socio-economic status, there exist a number of factors that determine Filipino students continued SE participation. Such factors can be used as basis in curricular and instructional restructuring and in strengthening the dynamics between school and community partnership.

      • KCI등재

        Employment and employability profile of a select group of Filipino college graduates

        Allan B. de Guzman,Belinda V. de Castro 한국교육개발원 2008 KEDI Journal of Educational Policy Vol.5 No.1

        Graduates are exhorted to develop personal skills, qualities, and experiences that enable them to compete in the labor market (Moreau & Leathwood, 2006; McQuid & Lindsay, 2005). This graduate tracer study (GTS) creates an empirical portrait that describes the employment aspects of the graduates of a comprehensive university in the Philippines during the years 2001‐2004 to identify policy imperatives for greater relevance of higher education curricula to industry needs and expectations. A sample of 540 randomly selected graduates representing various disciplines participated in this study. Data were gathered through a survey instrument developed by a pool of experts identified by the Commission on Higher Education (CHED) in the Philippines. Data were treated in‐depth through descriptive and inferential statistics. Graduates of the institution under study pursue advanced studies and other work‐related training. The impressive employability profile of comprehensive university graduates to middle level management positions particularly those representing the social behavioral sciences, natural sciences, medical fields, engineering and technology and mass communication is brought about not by the academic honors of the graduates but through capabilities such as knowledge, skills and attitudes used in work places. There is a need to develop a more functional framework for employability where the diversity of fields of study offered in universities are linked to the diversity of employment is also discussed in this paper.

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