Introduction
This essay will break down the necessary learning area’s to be included within the pedagogies of year six mathematical lessons, with a focus on fractions and decimals. Teaching with the aim of student learning, cannot be thoroughly assured without the diagnostic assessment of students. Therefore this essay begins with four questions pertinent to assessing student understanding of fractions and decimals. The questions have been designed to assess the level of learning specified within the guidelines of the Australian Curriculum and Reporting Authority (2016). Following the assessment questions is a diagnostic explanation and a breakdown as to the meanings of Multiplicative Thinking, Fractions and Decimals. Examples of concepts, strategies and resources which may be useful in fulfilling the goal of grade five-six teachers, lessons of fractions and decimals have been elucidated.
Multiple choice questions
Q1 When adding two fractions with differing denominators together do you
(Example: 3/4 + 12/16) Convert one or both to have the same denominator? Use the largest denominator in your answer? Add both the numerators, and then the denominators for the answer? Add the numerators to the denominators and then add those whole numbers together?
AC links ‘Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA126)’ (Australia Curriculum Assessment and Reporting Authority (ACARA), 2016.) The correct
Algebra is a critical aspect of mathematics which provides the means to calculate unknown values. According to Bednarz, Kieran and Lee (as cited in Chick & Harris, 2007), there are three basic concepts of simple algebra: the generalisation of patterns, the understanding of numerical laws and functional situations. The understanding of these concepts by children will have an enormous bearing on their future mathematical capacity. However, conveying these algebraic concepts to children can be difficult due to the abstract symbolic nature of the math that will initially be foreign to the children. Furthermore, each child’s ability to recall learned numerical laws is vital to their proficiency in problem solving and mathematical confidence. It is obvious that teaching algebra is not a simple task. Therefore, the importance of quality early exposure to fundamental algebraic concepts is of significant importance to allow all
Anghileri, J. (2006). Children's mathematical thinking in the primary years perspectives on children's learning (Repr. 2006. ed.). London: Continuum.
The objective of EDC141: The Numerate Educator was for students to obtain the chance to develop their mathematical skills, build mathematical competency, and positively chance their disposition (as a pre-service teacher) towards the importance and the functionality of maths. The key to success is to learn from one’s mistakes and work (by practicing mathematical questions) to further improve one’s results. This I managed to do by increasing my Mathspace results from 64% to 68% (as shown in Appendices 1A). The Australian Curriculum focuses on developing student’s capabilities in six areas: number, Algebra, Geometry, measurement, statistics and probability. Using evidence from the Mathspace test results, the NAPLAN results and activities of ‘What
The aims and importance of learning provision for numeracy development are to ensure all students understand that maths is a vital part of everyday life and will continue to be used throughout their life. Primary schools will teach students to learn various methods and techniques to be able to reach the correct answer. The end goal means more students will be able to solve a mathematical problem, independently, using a method that suits them. They can then develop their learning to improve their knowledge and apply it to real life situations; such as counting in groups of numbers such as 5’s or 10’s, which in turn can be applied when paying for
Numeracy development is important for all children as maths is an important part of everyday life. The way in which maths is taught has changed greatly over the years. When I was at school we were taught one method to reach one answer. Now, particularly in early primary phase, children are taught different methods to reach an answer, which includes different methods of working out and which also develops their investigation skills. For example, by the time children reach year six, the different methods they would have been taught for addition would be number lines,
4. Most of you did not have enough time to complete the redistillations of Fraction 1 and Fraction 3, but you are still equipped to anticipate the results.
Van de Walle, J, Karp, K. S. & Bay-Williams, J. M. (2015). Elementary and Middle School Mathematics Teaching Developmentally. (9th ed.). England: Pearson Education Limited.
[As a result of the step by step direction in the reengagement lesson, I want students to be able fully grasp the concept of addition; and how the knowledge of addition can be used to provide answers to expressions that require the decomposition of numbers totaling 8, 9, 10. The state standard that I am addressing in this reengagement lesson is 1.OA.1 Common Core State standards; use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together,
The learning provision for numeracy development for children is very important from the beginning of their learning platform as maths is a key in every day live for everyone.
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
Within the teaching of mathematics, it is essential that the tutor plans a Scheme of Work and individual lesson plans. Within the context of numeracy this involves different Schemes of Work depending on the
Multiplicative thinking, fractions and decimals are important aspects of mathematics required for a deep conceptual understanding. The following portfolio will discuss the key ideas of each and the strategies to enable positive teaching. It will highlight certain difficulties and misconceptions that children face and discuss resources and activities to help alleviate these. It will also acknowledge the connections between the areas of mathematics and discuss the need for succinct teaching instead of an isolated approach.
Teaching students effectively in areas of multiplicative thinking, fractions and decimals requires teachers to have a true understanding of the concepts and best ways to develop students understanding. It is also vital that teachers understand the importance of conceptual understanding and the success this often provides for many students opposed to just being taught the procedures (Reys et al., ch. 12.1). It will be further looked at the important factors to remember when developing a solid conceptual understanding and connection to multiplicative thinking, fractions and decimals.
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.