Modern Life : Is It All At The Mercy Of Chance?

This paper will demonstrate the pre-service teachers’ understanding of mathematical practices as part of the Common Core State Standards in Mathematics. It will address two specific standards for Mathematical Practices, describing the essence of both and providing a description of how teachers facilitate these practices and how students are engaged in the practices.

Question III-B: Explain the philosophical, historical, and sociocultural influences on contemporary educational theory and practice. As educators, we have our own ideas about teaching and learning but we still have pioneer mentors who contribute to the development of our teaching philosophy. These pioneers developed constructive ideas about schools, curriculum, and the methods of instruction we continue to use in today’s classrooms (Ornstein, 2008). It is crucial that we understand the philosophical, historical, and sociocultural influences as we develop curriculum that is relevant and applicable in today’s educational settings.

Mathematics has become a very large part of society today. From the moment children learn the basic principles of math to the day those children become working members of society, everyone has used mathematics at one point in their life. The crucial time for learning mathematics is during the childhood years when the concepts and principles of mathematics can be processed more easily. However, this time in life is also when the point in a person’s life where information has to be broken down to the very basics, as children don’t have an advanced capacity to understand as adults do. Mathematics, an essential subject, must be taught in such a way that children can understand and remember.

Mathematics is not for one type of person: not only for the nerdy and weird outcasts, not only for the white male, not only for those who are not targeted by the stereotypes prevalent in the field. Mathematics is not dry, nor boring, nor focused on inane solutions never to be used after the discovery. Mathematics is not what people think it is; it is not one field, one theme, one subject. Mathematics is everything. Look around, with clear eyes, and you will see the art of mathematics everywhere. Dr. Diana Gu, the founder of MTY Academy, an extremely successful institute in the Austin community, and long-time, inspirational professor at the Texas State University, looks at the world and sees numbers. She sees passion and dedication and motivation. She sees intensity and zeal and excitement. Explaining that mathematics is essential for everyone, she emphasizes an idea: innate skill matters little, while practice is what defines you.

Mathematical activities at Ysgol Dolafon are delivered in accordance with pupil’s individual needs and great deal of emphasis is given to continuity of learning. Ample opportunity is provided for pupils to discuss their understanding of concepts as they progress and teachers are aware of the importance of eliminating any gaps in the children’s mathematical knowledge. The Welsh Assembly Government guideline for Mathematical Development maintains that: ‘It is crucial that gaps in children’s mathematical learning are avoided, so that children do not miss out on essential elements in their understanding of mathematical concepts’ (WAG 2008) and Ysgol Dolafon fully agrees with that statement.

The general belief around the country (or perhaps even the world) is that math classes will be beneficial to a well rounded student. In some cases, such as the author argued, this might be true as a recent high school graduate who hasn't had the life experiences that someone later in their life might have. The author continues to explain that in their line of previous work and general experience, they already have the general math knowledge that their degree will need.

The primary goal of the lesson sequence was to actively engage students through fostering problem solving skills and develop conceptual understanding about mathematics. Consequently a range of authentic learning experiences that aimed to actively engage learners through the use of real life contexts, concrete materials and peer collaboration was incorporated in the lessons. The purpose of designing authentic learning experiences was to enthral students in true mathematical problem solving. Fisher, (2005) supports this theory by stating ‘The true use of maths is seen in its application to real-life problems. The activities throughout the lesson plan were intended to support students in actively constructing knowledge by completely immersing students in relevant and authentic learning experiences to become an expert on the content.

When educating students, it is essential to their growth, that teachers have the ability to learn and grow with their students. Every child learns, thinks, and comprehends differently; therefore, the same material should be taught in multiple ways. For example, in my Math 106 class, all students solve the same problem, the teacher then has a few students explain and depict the different ways they received the correct answer. When a student has a difficult time explaining their method, Mrs. Graybeal provides encouragement and guidance; thus. Also, students who are having a difficult time solving the problem used one of the methods provided by a peer to help them comprehend and solve the problem. Math 106 teaches future educators the

Geometry and Algebra are so crucial to the development of the world it is taught to every public high school in the United States, around 14.8 million teenagers each year (National Center for Education Statistics). Mathematics is the engine powering our world; our stocks, economy, technology, and science are all based off from math. Math is our universal and definite language “I was especially delighted with the mathematics, on account of the certitude and evidence of their reasonings.” (Rene Descartes, 1637).

Life means a constant change in various fields of living standards. These changes can be both positive and negative; they are not repeated, but in essence have something in common. If one take this to the attention and develop a strategy for the future, positive changes can be supported and developed, while negative changes can be reduced and prevented in the future.

It is an eye opening to see how every single child thinks different. There are many thoughts that makes every single person unique. This video made me think on how important is to get to know your students and also their family background. It is very important to have a little conversation with their family members and also with the students in general.

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.

Loving Math and its difficulties, it’s not surprising I sought out a job as a Math instructor at Mathnasium. I love the challenges that my job provides me. Each day is amazing and gives me an incredible sense of fulfillment. I enjoy working to become a better teacher, but the much larger joy comes from the fact that I lead my students to overcome their own obstacles. Typically they are math related, but occasionally I end up teaching test-taking skills. I love this because I get to