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Recommended: Teaching methodology
Consider what you have observed, read and experienced about teaching and learning to date. What, in your view, constitutes best practice in the teaching of maths?
Introduction
Mathematics is an important subject in the National Curriculum, in England. Ofsted (2012) quotes “Mathematics is essential for everyday life and understanding our world”. It is a creative subject with its own questions and methods. In every aspect of everyday activities, Mathematics is used daily from reading the time, shopping, planning budgets to designing houses. Ollerton (2006, p18) describes two different perspectives of Mathematics in his introduction, one being “beautiful, intriguing, elegant, logical, amazing and mind-blowing” and the other view “frightening,
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This is backed up by Johnston-Wilder et al (2005) who illustrates that a good lesson plan may help to ensure that learning will occur during the lesson and makes lessons interesting, challenging and motivating. A well-planned and structured lesson has starter activities, plenary as well as main activities. In my observations of lessons, starter tasks help students to get their brain ready for learning in the lesson, especially when coming from a different type of lesson i.e. History. The plenary task ensures students have acquired the outcomes of the lesson and to aid the planning for the next lesson. This is illustrated in Ofsted’s (2009) report that the learning is extended during the plenary and allows their needs, from the lesson, to be …show more content…
In some groups, she discovered that some students naturally extended themselves and in this way, they might have achieved more than they would, if they had worked individually. Students learn to reason about their strategies and follow the reasoning of others which develops important skills in the communication of mathematical thinking, (Anghileri, 2006). Ofsted (2009) asserts that features of good mathematics teaching, which involve all pupils, are when respect is given to all pupil contributions and students listen and respond to comments made by their peers. Some teachers argue that their classrooms are not designed for group work. In most instances, this can be overcome by re-arranging the classroom furniture or students can turn their chairs around to work with the student(s) in the row behind
Math is everywhere when most people first think of math or the word “Algebra,” they don’t get too excited. Many people say “Math sucks” or , “When are we ever going to use it in our lives.” The fact is math will be used in our lives quite frequently. For example, if we go watch a softball game all it is, is one giant math problem. Softball math can be used in many
students do not learn the same way as their peers. We have to modify and try to explain things to
When it comes to planning it is important that the content of the lessons is motivating and clearly presented (Levin et al., 2016). When I design my lessons I’m going to create them based on student interest because then students are less likely to display off-task behaviour. From here I will plan various activities that allow for all students to succeed because I feel that it is a teachers responsibility to set their students up for success. In order t...
Teachers should use every relevant subject to develop pupils’ mathematical fluency. Confidence in numeracy and other mathematical skills is a precondition of success across the national curriculum.
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.
I also learned that mathematics was more than merely an intellectual activity: it was a necessary tool for getting a grip on all sorts of problems in science and engineering. Without mathematics there is no progress. However, mathematics could also show its nasty face during periods in which problems that seemed so simple at first sight refused to be solved for a long time. Every math student will recognize these periods of frustration and helplessness.
The more common notion of numeracy, or mathematics in daily living, I believe, is based on what we can relate to, e.g. the number of toasts for five children; or calculating discounts, sum of purchase or change in grocery shopping. With this perspective, many develop a fragmented notion that numeracy only involves basic mathematics; hence, mathematics is not wholly inclusive. However, I would like to argue here that such notion is incomplete, and should be amended, and that numeracy is inclusive of mathematics, which sits well with the mathematical knowledge requirement of Goos’
Fundamentally, mathematics is an area of knowledge that provides the necessary order that is needed to explain the chaotic nature of the world. There is a controversy as to whether math is invented or discovered. The truth is that mathematics is both invented and discovered; mathematics enable mathematicians to formulate the intangible and even the abstract. For example, time and the number zero are inventions that allow us to believe that there is order to the chaos that surrounds us. In reality, t...
Mathematics is part of our everyday life. Things you would not expect to involve math
...re encompassing way, it becomes very clear that everything that we do or encounter in life can be in some way associated with math. Whether it be writing a paper, debating a controversial topic, playing Temple Run, buying Christmas presents, checking final grades on PeopleSoft, packing to go home, or cutting paper snowflakes to decorate the house, many of our daily activities encompass math. What has surprised me the most is that I do not feel that I have been seeking out these relationships between math and other areas of my life, rather the connections just seem more visible to me now that I have a greater appreciation and understanding for the subject. Math is necessary. Math is powerful. Math is important. Math is influential. Math is surprising. Math is found in unexpected places. Math is found in my worldview. Math is everywhere. Math is Beautiful.
n rows. I was told that pupils behave better in rows. Perhaps so, but I am not sure that the learning is better in rows. Developing these resources, it was my natural reaction to develop resources that were to be used in groups. How can you expect pupils to fully engage and learn when you will not let them discuss and interact with the mathematics or each other?
As a secondary subject, society often views mathematics a critical subject for students to learn in order to be successful. Often times, mathematics serves as a gatekeeper for higher learning and certain specific careers. Since the times of Plato, “mathematics was virtually the first thing everyone has to learn…common to all arts, science, and forms of thought” (Stinson, 2004). Plato argued that all students should learn arithmetic; the advanced mathematics was reserved for those that would serve as the “philosopher guardians” of the city (Stinson, 2004). By the 1900s in the United States, mathematics found itself as a cornerstone of curriculum for students. National reports throughout the 20th Century solidified the importance of mathematics in the success of our nation and its students (Stinson, 2004). As a mathematics teacher, my role to educate all students in mathematics is an important one. My personal philosophy of mathematics education – including the optimal learning environment and best practices teaching strategies – motivates my teaching strategies in my personal classroom.
A lesson plan is a teacher’s detailed description of the course of instruction for one class. There are many different parts of a lesson plan. For example, there is the title, which is where one would explain what it is the lesson plan is going to be about. Then, there are the learning outcomes, which are what the students are required to be learning after completing the lesson plan. After
The abstractions can be anything from strings of numbers to geometric figures to sets of equations. In deriving, for instance, an expression for the change in the surface area of any regular solid as its volume approaches zero, mathematicians have no interest in any correspondence between geometric solids and physical objects in the real world. A central line of investigation in theoretical mathematics is identifying in each field of study a small set of basic ideas and rules from which all other interesting ideas and rules in that field can be logically deduced. Mathematicians are particularly pleased when previously unrelated parts of mathematics are found to be derivable from one another, or from some more general theory. Part of the sense of beauty that many people have perceived in mathematics lies not in finding the greatest richness or complexity but on the contrary, in finding the greatest economy and simplicity of representation and proof.
In the process of completing this coursework, I have realised that every teacher should be all-rounded and equipped with adequate skills of educating others as well as self-learning. As a future educator, we need make sure that our knowledge is always up-to-date and applicable in the process of teaching and learning from time to time. With these skills, we will be able to improvise and improve the lesson and therefore boost the competency of pupils in the process of learning. In the process of planning a lesson, I have changed my perception on lesson planning from the student’s desk to the teacher’s desk. I have taken the responsibility as a teacher to plan a whole 60-minutes lesson with my group members. This coursework has given me an opportunity