Technological skill development is most effective when embedded in content instruction rather than mastering specific Information Communication Technology (ICT) tools in a vacuum. This course is a shift of ICT teacher professional development towards science content-centric approaches which advocates teaching teachers how to teach with ICT tools to meet content learning goals rather than teaching teachers how to use the tool. The course will provide trainees’ opportunities to develop their Technological Pedagogical Content Knowledge (TPACK) and skills to design, enact and evaluate ICT-based lessons using a variety of ICT tools that support different teaching and learning strategies. Topics to be covered include: The use of Information Communication Technology (ICT) such as internet resources, Java applets, Multimedia and spreadsheet; Online Educational Platforms (e.g. MOOC); Professional Learning Networks (PLN); TPACK as a framework for effective ICT integration; ICT application in didactic science teaching approaches and inquiry -based constructivist teaching approaches; and the use of Web quest.
This course is designed to expose students to contemporary issues in curriculum studies and development in science education. The opportunity will be given to students to engage in some of the current complicated discourses in curriculum development, implementation, supervision and evaluation. Topics to be covered include: Understanding Curriculum in the following contexts: as Historical Text, Political Text, and Institutionalized Text; Gender, sexuality, race and ethnicity in a scientific and diverse milieu; Utopian vision, democracy and the egalitarian ideal; A vision of curriculum in the postmodern era.
Philosophy of Science offers a unique opportunity to study the foundations, practices, and culture of the sciences from a philosophical perspective. Students will study the philosophy of science from the ancient Greeks to the contemporary philosophers of science. The course will expose students to questions addressed by philosophy of science and epistemology. The course will examine various philosophies of science and their implications for the definition of science, the development of science, and the teaching and learning of science. In particular, the course will focus on philosophies such as logicism, intuitionism and formalism. Also, included are contemporary philosophies such as social constructivism and postmodern philosophies. Students will be required to relate the substantial issues in this course to their experience and practice.
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Objectives
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To produce graduates who can undertake research work that requires knowledge in both mathematics and statistics.
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To produce graduates who can use mathematics and statistics as a tool to do research work in other disciplines such as sciences, business, government, health and economics.
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To provide a solid foundation for students to pursue further specialised courses such as actuarial science, econometrics and operations research.
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This course is designed to give an introduction to complex numbers and matrix algebra, which are very important in science and technology, as well as mathematics. The topics to be covered are complex numbers and algebra of complex numbers. Argand diagram, modulus-argument form of a complex number. Trigonometric and exponential forms of a complex number. De Moivre’s theorem, roots of unity, roots of a general complex number, nth roots of a complex number. Complex conjugate roots of a polynomial equation with real coefficients. Geometrical applications, loci in the complex plane. Transformation from the z-plane to the w-plane. Matrices and algebra of matrices and determinants, Operations on matrices up to . inverse of a matrix and its applications in solving systems of equation. Gauss-Jordan method of solving systems of equations. Determinants and their use in solving systems of linear equations. Linear transformations and matrix representation of linear transformations.
This course is designed to develop advanced topics of differential and integral calculus. Emphasis is placed on the applications of definite integrals, techniques of integration, indeterminate forms, improper integrals and functions of several variables. The topics to be covered are differentiation of inverse, circular, exponential, logarithmic, hyperbolic and inverse hyperbolic functions. Leibnitz’s theorem. Application of differentiation to stationary points, asymptotes, graph sketching, differentials, L’Hospital rule. Integration by substitution, by parts and by use of partial fractions. Reduction formulae. Applications of integration to plane areas, volumes and surfaces of revolution, arc length and moments of inertia. Functions of several variables, partial derivatives.