Teacher Reflection Paper

It is crucial to develop in children the ability to tackle problems with initiative and confidence…mathematics has changed from careful rehearsal of standard procedures to a focus on mathematical thinking and communication to prepare them for the world of tomorrow (Anghileri, 2006, p.2).

My passion for mathematics was fixed at the age of ten, on the morning that my mathematics teacher told I would be sitting the Junior Maths Challenge, 'as practice for when you are older'. As I nervously started to answer the questions, a whole world began to open before me. I revelled in the problem solving, answering questions of a nature I had not seen before. My teachers were delighted when I emerged from the exam hungry for more. Since then I have consistently demonstrated my aptitude, achieving gold awards through to senior level, and scoring highly in the European Kangaroo.

Essential aspects that underpin the professional and dedicated educator include the revising of knowledge and experience, reflection, and an effort in understanding their students. Within mathematics, these skills are informed by the curriculum chosen, the students involved, and the pedagogy that is selected, that create the professional judgement cycle (as seen in Appendix One) (Department of Education and Training Western Australia [DETWA], 2013a). The more teachers understand about their students, the more they can adapt the learning environment to cater for these different learning approaches (Burns, 2010).

Every day, mathematics is used in our lives. From playing sports or games to cooking, these activities require the use of mathematical concepts. For young children, mathematical learning opportunities are all around them. Knaus (2013) states that ‘Young children are naturally curious and eager to learn about their surroundings and the world they live in’ (pg.1). Children, young and old, and even adults, learn when they explore, play and investigate. By being actively involved, engaging in activities that are rich, meaningful, self-directed and offer problem solving opportunities, children given the chance to make connections with their world experiences (Yelland, Butler & Diezmann, 1999). As an educator of young children,

It is important to have an understanding of the mathematical concepts from years one through to three. By completing the Early Years Mathematical Competency Test [EYMCT] I was able to see my strengths and weaknesses and compare them to the Australian Curriculum Assessment Reporting Authority [ACARA]. I was then able to look at the four elements questioning, play, the on-going nature of assessment and planning for teaching and using hands-on resources and manipulatives. By comparing my EYMCT results

The Standards for Mathematical Practice are essential tools that will ensure a student has everything they need to improve in their knowledge and understanding in mathematics. Thus, it is highly important that all level mathematical educators try to implement these standards into their classrooms. Ultimately, there are two sections called, “processes and proficiencies” in which the standards are derived from. The practices are depended on these two standards in the mathematics education. For the reason being, that they provide strategies that will help develop a foundation that students may rely on to comprehend and approach a problem. In other words, the standards do not show step-by-step ways on how to solve a problem, but rather help a student feel comfortable and confident in approaching, analyzing, and finishing a problem. The process standards defined by the National Council of Teachers of Mathematics emphasizes a way of problem solving, reasoning and proof, communication, connections, and representations. The proficiencies identified by the National Research Council include, adaptive reasoning, strategic competence, conceptual understanding, productive disposition, and procedural fluency. Knowing how beneficial the Standards for Mathematical Practice is for students, it is clear that as a future teacher I will implement these strategies in every classroom so that all my students may have a chance to prosper.

The National curriculum states that in Mathematics teachers should use every relevant subject to develop pupils’ mathematical fluency. Confidence in numeracy and other mathematical skills is

The NAEYC affirm that high-quality, challenging and accessible mathematics education for 3-6 year old children are a vital foundation for future mathematics learning. The first few years of a child’s life in development is important because teachers are individuals who play the key role to help children learn, grow and succeed in education. NAEYC and NCTM feel that young learner’s future understanding of mathematic requires an early foundation on a high quality, challenging, and accessible mathematic education. They feel children’s learning within the first couple of years of life demonstrate the importance of early experiences in mathematics also children start to engage in early encounters of mathematics developing their confidence in their

I believe every child can succeed in mathematics, and it is my role to unlock this potential. I aim to teach in ways that help children develop cooperation, assertion and responsibility, as well as a good understanding of subject matter. I believe this can be achieved by creating a culture in the classroom that is built gradually on trust, with a common language, through rules that we create together, and by practicing procedures until they become nearly automatic. I aim to use the resources, materials, and curriculum requirements I have to work with, to engage my students in meaningful learning. I believe that children want to learn, and that it is motivating for pupils when they and their teacher’s are enthusiastic about learning, too.

In light of the recent changes to the mathematics curriculum, reflect on the key issues surrounding mathematical subject knowledge for teaching.

In today’s society mathematics is a vital part of day-to-day life. No matter what a person is doing at home or at the workplace, he/she is constantly using different mathematics skills to simply function. Then what does this mean for mathematics education? When someone needs to utilize a skill every day then he/she needs a strong background in the skill. Therefore, today’s students need more than a just a working knowledge of mathematics or enough knowledge to pass a test. Today’s students need to understand how mathematics works and how to utilize mathematics skills in the best way possible.

Maths is ubiquitous in our lives, but depending on the learning received as a child it could inspire or frighten. If a child has a negative experience in mathematics, that experience has the ability to affect his/her attitude toward mathematics as an adult. Solso (2009) explains that math has the ability to confuse, frighten, and frustrate learners of all ages; Math also has the ability to inspire, encourage and achieve. Almost all daily activities include some form of mathematical procedure, whether people are aware of it or not. Possessing a solid learning foundation for math is vital to ensure a lifelong understanding of math. This essay will discuss why it is crucial to develop in children the ability to tackle problems with initiative and confidence (Anghileri, 2006, p. 2) and why mathematics has changed from careful rehearsal of standard procedures to a focus on mathematical thinking and communication to prepare them for the world of tomorrow (Anghileri).

Mathematics, like every creation of man, have evolved without really knowing how far you can get with them: the scope of the computer, physics, chemistry, algebra, all are evidence of this. Every aspect of our culture is based in some way or another in Mathematics: language, music, dance, art, sculpture, architecture, biology, daily life. All these areas of measurements and calculations are accurate. Even in nature, everything follows a precise pattern and a precise order: a flower, a shell, a butterfly, day and night, the seasons. All this makes mathematics essential for human life and they can not be limited only to a matter within the school curriculum; here lies the importance of teaching math in a pleasure, enjoyable and understandable way. Mathematics is an aid to the development of the child and should be seen as an aid to life and not as an obstacle in their lifes.

Walking into the first two weeks of the EDU program I desired to experience what it would be like to be a future educator and have a grasp of how to help the molding of our youth and giving them the possibility to become future leaders. Doctor dresser was able to bring in a Concordia alumni who had just begun to experience his professional education, career and is teaching multiple different grade levels as a young teacher. When he first walked into the classroom my first impressions were that unfortunately he looked very inexperienced and unsure of what was to be expected of the lecture I thought to myself in the position of a younger student in his classroom this is a person I would not take seriously. He then proceeded to communicate

This reflection paper addresses as a student and counseling professional how I feel as though I have been readily prepared to teach in higher education and areas, concepts, strategies, and thoughts on how I have evolved through this course. This course has made me think more into how the most powerful, durable, and effective agents of educational change are not the policy makers, the curriculum developers or even the education authorities themselves; they are the teachers. It further contends that the quality of the educational changes that teachers have the skills and opportunities to effect will only be as reliable and proficient as the teachers’ individual capacities for reflective practice and the development of self-knowledge (Stepien, 1999). These aspects of teacher development have, historically, been largely overlooked in the preparation and promotion of effective teachers. The emphasis has been more explicitly focused on the development and demonstration of teachers’ understanding of content knowledge and the associated pedagogies and in their capacities to understand their students as individual constructors of knowledge in diverse social contexts (Bosworth, 1999).