Dec 2009, Volume 4 Issue 4
    

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  • Research articles
    XU Binyan, Lee Peng Yee,
  • Research articles
    ZHOU Chao, Bao Jiansheng,
    Mathematical proofs are not only the focus of every country’s mathematics curriculum reforms, but also the subject of research on mathematics education. This paper is based on a survey of mathematics teachers, the goal of which was to investigate the understanding of mathematical proofs of secondary school math teachers, their levels of mathematical proofs, and their ability to comprehensively teach mathematical proofs. Preliminary results of the survey provide insight into several characteristic aspects of Chinese secondary school teachers’ literacy of mathematical proofs.
  • Research articles
    ZHAO Dongchen, MA Yunpeng, CAI Rong, WU Yang, ZHANG Yaofang,
    Through the qualitative interviews of five implementers of primary school mathematics curriculum, this study addresses the ways in which mathematics lessons are evaluated. Results show that each evaluator recognizes different aspects of a “good lesson,” however, among all criteria, the design of the lesson plan, realization of the lesson goals, active student participation, and mathematical thinking are seen as key indicators in lesson evaluation. The study also shows that student performance is a major point of concern in lesson evaluation, and some extreme teaching practice has drawn attention and being reflected by some implementers of the New Mathematics Curriculum.
  • Research articles
    LI Qiong, NI Yujing,
    Using classroom observation and video recording methods, we performed a comparative study on the forms and content of dialogues in the classrooms between expert and novice teachers. Of the 55 lessons surveyed, it was found that expert teachers tend to use analytical and comparative questions more frequently to detect students’ mathematical reasoning. Students and teachers work together to determine the answer to a question and the dialogue in the classroom takes place in a way that students present an answer, the teacher and the other students question the answer, and then the students explain the answer. On the other hand, a novice teacher often tends to give students hints, or utilize simple questions to jog the memory. The novice teacher recognizes students’ logic but does not incorporate them into his/her teaching. In this case, the teacher becomes the sole judge for the appropriateness of the answers and the typical dialogue in the classroom occurs in a way that the teacher asks a question, students answer, and the teacher comments.
  • Research articles
    ZHANG Dingqiang, ZHAO Hongyuan,
    The reflective ability in mathematics is a highly individual mental process, which is engaged in the course of certain types of mathematics activity. This article describes the basic meaning, characteristics, and developmental features of reflectivity in mathematics. It is suggested that reflective ability in mathematics and its relations with other mathematical abilities helps improve students’ long term mathematical and creative capacities. The authors develop a trial reflective component to high school mathematics education in order to determine the degree of short-term mathematics improvement measured by examination success, as well as long-term benefits to the student, thus promoting mathematics curriculum reform.
  • Research articles
    YE Lan,
    Initiated in September 1994, “New Basic Education” first underwent a five-year Exploratory Research phase from September 1994 to May 1999, which was followed by a second five-year Developmental Research phase from September 1999 to May 2004. Thus during the past ten years, “New Basic Education” has undergone a complete research process, including the presentation of the problem, the formation of results, and finally the dissemination, application, perfection, and development of its research. This study has preliminarily explored the transformation of schools, educational theories and educational research methods in China. The author hopes to respond actively to educational changes caused by our transforming society through her professional research. She presents in this paper the retrospective notes of her subjective state, such as her thought process, planning, actions and experiences while conducting and developing “New Basic Education” research. “New Basic Education” research originated from ten years of theoretical preparation (amassing basic educational theory, the methodology for educational research, and meta-research of educational disciplines), as well as from the author’s personal experiences conducting field research during the past three years and her profound reflections on the nature of the social transformations taking place in late 20th century China. During the Exploratory Research phase, “New Basic Education” research—which consists of reconstructive research on educational theory and practice—regards the rebuilding of educational aims as its theoretical starting point. Additionally, “New Basic Education” research regards schools, which provide nine-year compulsory education as the entire unit of practical research. The research also focused on classroom education, teaching reform, and school management for the experimentation and reform of the schools. As for the core issue of methodology, the crux of the issue lies in how to deal with the relations between theoretical research and practical research and the relationship between theoretical researchers and practical researchers. During the Developmental Research phase, the author augmented the reconstruction of both theory and practice, thereby heightening self-consciousness of the transformation of contemporary Chinese educational research. Meanwhile, the author began to focus on “value of life” as a consistent value orientation in her new academic path. She regarded “Research-based Reform Practice” as the combination of theory and practice and the new research mode. During the course of this research, the author acquired the ability to develop theory from practice, to formulate new theories, and ultimately to establish the ultimate objective for her personal professional development—to do her utmost to establish the “Life · Practice” School of thought.
  • Research articles
    DONG Zefang, WANG Yanbin, CHEN Wenjiao,
    There is a close interactive relationship between social mobility and educational selection. On one side, the character, direction, speed, level, methods and trends of social mobility affect the aims, goals, functions, scope, strategy, content and methods of choice in education. On the other side, the goals, basis and means of choosing education promote inter-generational social mobility, competitive mobility and structural optimization. In recent years, social mobility and educational selection are increasingly coming into contact in China, but there are still a lot of mutual constraints. In order to promote a coordinated operation and positive interaction between them, society should strive to create a stable democratic political environment, sustained and balanced economic growth, and an open and orderly employment system. Moreover, we need to open up the education system, balance the allocation of resources, strengthen the function of choice and enable education to play a more value-oriented role.
  • Research articles
    GU Jianxin,
    Ever since the transnational education trend took off since the 1980s, transnational education has come to bearing political, economic and cultural implications. Different approaches have been formulated to achieve specific policy objectives by both importing and exporting countries. Such approaches demonstrate a four dimensional composition, which includes generating economic revenue, boosting capacity building, developing human resources and promoting international understanding. Transnational education is, to a great extent, economically oriented and has now become dominated by market principles. In addition, it is characterized by its borderless nature and the innovation of delivery models. Alongside the opportunities, transnational education tends to erode national educational sovereignty and threatens cultural security of importing countries, undermines the public nature of education, and challenges the existing institutional arrangements for quality assurance, accreditation and qualification recognition in higher education. With recent global education trends in mind, China urgently needs to adopt adequate measures to ensure a sustainable and healthy development of transnational education.