Now showing 1 - 6 of 6
  • Publication
    Open Access
    Banach-Steinhaus theorem for the space P of all primitives of Henstock-Kurzweil integrable functions
    (New Zealand Mathematical Society, 2021)
    In this paper, it is shown how the Banach-Steinhaus theorem for the space P of all primitives of Henstock-Kurzweil integrable functions on a closed bounded interval, equipped with the uniform norm, can follow from the Banach-Steinhaus theorem for the Denjoy space by applying the classical Hahn-Banach theorem and Riesz representation theorem.
    Scopus© Citations 1  81  122
  • Publication
    Restricted
    Flipped linear algebra and calculus for pre-service teachers (FLACPT)
    (Office of Education Research, National Institute of Education, Singapore, 2024)

    In recent years, university instructors in many countries have implemented “flipped” learning as one form of “blended learning” to bring about more active learning of undergraduate courses, in particular Mathematics, Science, Engineering, Computer Science, and Information Technology. Under this model, the traditional pedagogy of using class time to lecture on new academic content followed by completing assignments outside class is “flipped” so that students learn some of the new content on their own and then come to class to resolve their confusions and to engage in extended problem solving. The details of flipped learning vary considerably, but the main claim, based on learning theories and research findings, is that under this learning model, supported by digital resources, students will enjoy this type of learning, master the academic contents, and develop intellectual skills, such as independent learning using technology and print materials, critical thinking, and collaboration (Bishop & Verleger, 2013; Brewley, Boindala & Sinclair, 2017; Fulton, 2014; Hamdan, McKnight, McKnight & Arfstrom, 2013; Herreid & Schiller, 2013; Love, Hodge, Grandgenett & Swift, 2014; O’Flaherty & Phillips, 2015).

    In Singapore, DPM Heng Swee Keat, then Minister for Education, in his keynote address at Work Plan Seminar 2013, recommended developing flipped classroom as an initiative to enrich student learning in schools. At the university level, Nanyang Technological University (NTU), through the NTU Education 2013 initiative, has begun to trial flipped classroom in some of its schools, as preparation for introducing this model across the university in the coming years. Hence, there is a need to study the nature and effects of flipped classrooms to address the current dearth of local research about this model. The theorization, resources, and findings from this project will also highlight Singapore’s contribution to the ongoing global discussion about this exciting pedagogy.

      42  72
  • Publication
    Open Access
    Flipped linear algebra and calculus for pre-service teachers.
    (National Institute of Education (Singapore), 2020) ;
      114  189
  • Publication
    Open Access
    Nature and perceptions of pre-class tasks used in a flipped linear algebra course for pre-service teachers
    (Association of Mathematics Educators, 2020) ; ;
    Wong, Khoon Yoong
    ;
    Kwan, Kang Ling
    In recent years, computer-based technology has enabled university lecturers to teach their courses using non-traditional pedagogies. One such pedagogy is the flipped learning model. As flipped learning is being used more frequently to teach undergraduate mathematics, instructors need to collect data to identify practices that work well to promote student mathematics achievement and favourable perceptions toward this new learning mode. This paper describes six different types of pre-class tasks for a flipped Linear Algebra II course in a Singapore university, such as short videos narrated by the instructor, synopses, summary sheets, worksheets of problems and activities, and online quizzes. The sample comprised 15 pre-service teachers, who had adequate to good mathematics backgrounds, and their participation in this project would prepare them to implement flipped learning in school mathematics in the future. On average, they spent about one hour to complete these weekly pre-class tasks, but the stronger ones reported spending less time on these tasks than the other students. Almost all the students rated very highly these tasks in terms of helping them to learn and enjoyment at mid-semester and end-of-course surveys. These perceptions had weak correlations with the course grade. Suggestions for practice and future research are discussed.
      154  136
  • Publication
    Open Access
    A semester-long flipped calculus course for pre-service teachers in Singapore
    (Association of Mathematics Educators, 2021) ; ;
    Wong, Khoon Yoong
    ;
    Kwan, Kang Ling
    This paper reports on a study on a semester-long flipped university mathematics course (Calculus II) taught to a cohort of pre-service teachers enrolled in the Bachelor of Science (Education) programme at the National Institute of Education, which is the autonomous teacher training institute of Nanyang Technological University, Singapore. The current study is the second phase of a three-phase project which developed a comprehensive framework to guide the design of three stages of flipped learning activities: pre-class tasks; in-class interactions; and post-class consolidation. A mixed methods research design was used to collect quantitative and qualitative data over many occasions, through methods such as weekly surveys, to investigate students’ perceptions of flipped learning activities. Results of the study suggest that the students generally found the flipped learning activities helpful and enjoyable.
      117  153
  • Publication
    Metadata only
    An extension of the Banach-Steinhaus theorem for Sargent spaces
    (Yunnan University, 2024) ;
    Lee, P. Y. (Peng Yee)
      67