Research Essay: Theoretical Position for Teaching Mathematics – As a pre-service teacher, my philosophy of teaching mathematics is based on a constructivist, student-centered approach. I have learned, through my internship experiences, as well as mathematics education courses, which advocate this approach, that it is the most effective way to teach mathematics. This essay will explicitly describe my philosophy, as well as explain and justify specific teaching and learning strategies related to this philosophy, supported by research and literature. Philosophy of teaching mathematics: student-centered constructivist approach – When learning mathematics through a constructivist According to this approach, students are able to construct their own understanding of concepts and problems, by actively constructing knowledge in relevant contexts, while the teacher supports this knowledge construction. The emphasis is on personal ways of understanding and the process itself, rather than on answers. Constructivist mathematics education encourages "reflective thinking, higher-order learning skills, testing the viability of ideas, and seeking alternative points of view." The learner also understands how this knowledge of particular mathematical concepts and rules is applicable to real-world problems and situations. (ict site) Student-centered learning is essential so that students can construct their understandings and memorize them in the way most appropriate for them. Activities that include engaging and participatory experiences, discussions, multiple tools and modes of representation, and interactive demonstrations are successful in fostering learning and enthusiasm. Learning interactively, with the teacher, a partner or a small group, allows students to work in small groups and can be used to improve research and learning of concepts. Technology is an integral part of students' daily lives, so integrating computers will allow students to fully engage in activities. Technology also allows students to explore and express their knowledge on a global platform through the Internet, through information gathering, networking and publishing programs. (computer-supported collaborative learning) Conclusion – Effective mathematics teachers use a variety of teaching approaches, strategies, and tools. Through my personal experiences, applications, and research, I have found that these various student-centered constructivist strategies and tools are very effective in developing not only mathematical knowledge and understanding, but also in supporting students apprehended or in difficulty..