Undergraduate Program in Primary Mathematics Education

Functions, limits, continuity, differentiation and applications, integration, fundamental theorem of calculus, techniques and applications of integration, improper integrals and series, Taylor polynomials, power series, basic transcendental functions.

Vector calculus, functions of several variables, directional derivatives, gradient, Lagrange multipliers, multiple integrals and their applications, change of variables, coordinate systems, line integrals, Green's theorem, divergence theorem, Stokes' theorem.

Introduction to academic life, the resources of the university and the department; review of the mathematics and science education literature; basics of academic writing for evidence-based reports, including documentation of sources and citation formats.

Introduction into the field of guidance and counseling; its conceptualization, historical background, nature, professional roles, direct and indirect functions. A brief review of career counseling, counseling with special groups, basic assessment techniques, and development of these services in Turkey.

Charge and matter, the electric field, Gauss law, electrostatic potential, capacitance, current and resistance, electromotive force and circuits, the magnetic field, Ampére's law, Faraday's law, inductance, magnetic properties of matter. (One laboratory session every week.)

First-order differential equations, second-order linear equations, Wronskian, change of parameters, homogeneous and non-homogeneous equations, series solutions, Laplace transform, systems of first-order linear equations, boundary value problems, Fourier series.

Practice and training in written Turkish for the purposes of exposition, description, narration and discussion. Fundamental rules, examples of punctuation and dictation. Styles of writing and composition; scientific and scholarly writing, reports and essays. The work of classical and contemporary Turkish writers. Practice in public speaking and argumentation techniques.

A general survey of Turkish history from about the mid-19th century until World War II with a particular focus on the early Republican era. A comparative and analytical account of Westernization and Ottoman reform attempts, the struggle for constitution, the economic and social transformations, diplomacy and foreign policy, World War I, the rise of Turkish nationalism, the National Struggle, Kemalist social, economic and cultural reforms in the 1920s and 1930s with special emphasis on the Kemalist principles.

Data processing in educational contexts; analyzing and reporting descriptive statistics; concepts of normal distributions, standard scores and hypothesis testing; biserial and rank order correlations, multiple regression, t-test, ANOVA, applications by using statistical software.

The concepts and principles of educational technology as an integrated part of teaching and learning process. Basic information technology skills. Selection, development, implementation and evaluation of media with regard to learning theories. Employment of laboratories; audio-visual means, slides, graphs, films and printed materials; computer software including simulations, tutorials, drills, interactive learning environments, microworlds, intelligent systems and multimedia.

Design, development and application of projects for community service.

Theories of geometric thinking; teaching of fundamental concepts and axiomatic structures of Euclidean geometry through construction and proof: Points, lines, planes, angles, congruence, similarity, transformations, polygons, circles, solids, area, and volume.

Development of effective classroom management skills. Understanding and handling factors influencing student behavior, student motivation, communication and group interaction. Establishing and maintaining standards of behavior. Planning and modification of classroom tasks, materials, time and environment to facilitate learning.

Survey of research methods related to mathematics and science education; planning a small scale research study focused on these areas.

Understanding of digital technology in mathematics/science education, pedagogical uses of digital technology, implementation of software or hardware, discussion of using technology in mathematics/science learning and teaching, design and demonstration of computer assisted teaching.

Observation of mathematics instruction in schools; design of resource, unit and lesson plans; supervised student teaching in school settings.