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Maths in daily life extempore
Use of mathematics in daily life 15
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Mathematics is the core of our world. Mathematical skills are applied daily in a variety of personal, work and social contexts and often without knowing it. The Australian Curriculum: Mathematics offers students with vital numerical abilities and education under the six areas of the Australian Curriculum: Mathematics; Number and Algebra, Measurement and Geometry, and Statistics and Probability. The aim is to build the mathematical skills students require within their employment, community and personal lives. The proficiency strands are structured as Understanding, Fluency, Problem Solving, and Reasoning that define how content is developed and offer the language to assist in the developmental features of the education of mathematics. The Australian …show more content…
84, they key to achievement in mathematics is revision in mathematics and terminology. Through my research on the What I Know About [WIKA] fractions activity (see Appendix G, pp. 32-33) I developed my knowledge and skills in number further by revising terminology such as mixed fractions, numerator, and denominator. Consequently, I was able to calculate fractions as conveyed in "Mathspace" (n.d.) set task (see Appendix D, p. 13) achieving a result of 86%. My understanding in number is depicted in the activity WIKA; Counting (Appendix G, p. 31), where I refreshed my memory that there is more than one way to count while achieving the same result. For example, by multiplying or addition. By learning about the concepts related to counting, such as patterns, I was able to recognise a pattern in addition and increased my understanding of the algorithms I used in solving the Thinking Time Problem 4 [TTP]; the handshake problem (see Appendix H, p. 41). As someone who enjoys maths, I appreciated the WIKA and TTP activities enthusiastically. They developed my problem solving techniques and terminology as I understood new concepts and my positive mind resulted in my determination to succeed. Furthermore, my experiences in number, are illustrated throughout my efforts on "Mathspace" (n.d.) in number revision (see Appendix D, p. 14-15) where I extended my numeracy skills in arithmetic calculations such as the BODMAS rule. In addition, my
The following assignment shows the progress I have made throughout unit EDC141: The Numerate Educator. Included are results from the first and second round of the Mathematics Competency Test (MCT). Examples from assessment two, which, involved me to complete sample questions from the year nine NAPLAN. I was also required to complete a variety of ‘thinking time problems’ (TTP’s) and ‘what I know about’ (WIKA’s). These activities allowed me to build on my knowledge and assisted me to develop my mathematical skills. The Australian Curriculum has six areas of mathematics, which I used in many different learning activities throughout this study period (Commonwealth of Australia, 2009). These six areas will be covered and include number, algebra,
Math is the study of patterns, with students learning to create, construct, and describe these patterns ranging from the most simple of forms to the very complex. Number sense grows from this patterning skill in the very young student as he/she explores ordering, counting, and sequencing of concrete and pictorial items. The skill of subitizing, the ability to recognize and discriminate small numbers of objects (Klein and Starkey 1988), is basic to the students’ development of number sense. In the article “Subitizing: What is it?
The teaching and learning approaches I use in numeracy, have certainly developed over this course. I have seen the information that needs to be given to the learner is just a tiny part in teaching, the most significant part of delivery is how you do it. There are three main learning theories.
Numeracy is a mathematical skill that is needed to be a confident teacher. This unit of study has allowed students to build their knowledge in the mathematical areas of competency and disposition towards numeracy in mathematics. The six areas of mathematics under the Australian Curriculum that were the focus of this unit were; algebra, number, geometry, measurements, statistics and probability. Covering these components of the curriculum made it evident where more study and knowledge was needed to build confidence in all areas of mathematics. Studying this unit also challenges students to think about how we use numeracy in our everyday lives. Without the knowledge if numeracy, it can make it very challenging to work out may problems that can arise in our day to day activities. The knowledge of numeracy in mathematics I have has strengthened during the duration of this unit. This has been evident in the mathematics support I do with year 9 students at school, as I now have a confident and clear understanding of algebra, number, geometry, measurements, statistics and probability.
Numbers do not exist. They are creations of the mind, existing only in the realm of understanding. No one has ever touched a number, nor would it be possible to do so. You may sketch a symbol on a paper that represents a number, but that symbol is not the number itself. A number is just understood. Nevertheless, numbers hold symbolic meaning. Have you ever asked yourself serious questions about the significance, implications, and roles of numbers? For example, “Why does the number ten denote a change to double digits?” “Is zero a number or a non-number?” Or, the matter this paper will address: “Why does the number three hold an understood and symbolic importance?”
The first standard in number and operations is Grade 3-5 g. develop and use strategies to estimate computations involving fractions and decimals in situations relevant to student’s experiences. The students had to estimate how many items and which items they could buy. They had to estimate the prices by using numbers with decimals and figuring out what the price was closer to in whole numbers. The second standard was h, use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals. The visual models they used were the items and prices, it represented how decimals can be used in real life.
Maths is a tool needed for everyday life and it is a way of helping children to understand the concepts of the world around them. Using the programmes of study from the National curriculum and the EYFS curriculum for numeracy, Washingwell Community Primary school aim:-
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.
To investigate the notion of numeracy, I approach seven people to give their view of numeracy and how it relates to mathematics. The following is a discussion of two responses I receive from this short survey. I shall briefly discuss their views of numeracy and how it relates to mathematics in the light of the Australian Curriculum as well as the 21st Century Numeracy Model (Goos 2007). Note: see appendix 1 for their responses.
Sherley, B., Clark, M. & Higgins, J. (2008) School readiness: what do teachers expect of children in mathematics on school entry?, in Goos, M., Brown, R. & Makar, K. (eds.) Mathematics education research: navigating: proceedings of the 31st annual conference of the Mathematics Education Research Group of Australia, Brisbane, Qld: MERGA INC., pp.461-465.
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.
The prominence of numeracy is extremely evident in daily life and as teachers it is important to provide quality assistance to students with regards to the development of a child's numeracy skills. High-level numeracy ability does not exclusively signify an extensive view of complex mathematics, its meaning refers to using constructive mathematical ideas to “...make sense of the world.” (NSW Government, 2011). A high-level of numeracy is evident in our abilities to effectively draw upon mathematical ideas and critically evaluate it's use in real-life situations, such as finances, time management, building construction and food preparation, just to name a few (NSW Government, 2011). Effective teachings of numeracy in the 21st century has become a major topic of debate in recent years. The debate usually streams from parents desires for their child to succeed in school and not fall behind. Regardless of socio-economic background, parents want success for their children to prepare them for life in society and work (Groundwater-Smith, 2009). A student who only presents an extremely basic understanding of numeracy, such as small number counting and limited spatial and time awareness, is at risk of falling behind in the increasingly competitive and technologically focused job market of the 21st Century (Huetinck & Munshin, 2008). In the last decade, the Australian curriculum has witness an influx of new digital tools to assist mathematical teaching and learning. The common calculator, which is becoming increasing cheap and readily available, and its usage within the primary school curriculum is often put at the forefront of this debate (Groves, 1994). The argument against the usage of the calculator suggests that it makes students lazy ...
When I graduated from high school, forty years ago, I had no idea that mathematics would play such a large role in my future. Like most people learning mathematics, I continue to learn until it became too hard, which made me lose interest. Failure or near failure is one way to put a stop to learning a subject, and leave a lasting impression not worth repeating. Mathematics courses, being compulsory, are designed to cover topics. One by one, the topics need not be important or of immediate use, but altogether or cumulatively, the topics provide or point to a skill, a mastery of mathematics.
Allowing children to learn mathematics through all facets of development – physical, intellectual, emotional and social - will maximize their exposure to mathematical concepts and problem solving. Additionally, mathematics needs to be integrated into the entire curriculum in a coherent manner that takes into account the relationships and sequences of major mathematical ideas. The curriculum should be developmentally appropriate to the