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Role of mathematics teaching
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Mathematics can be a subject many students struggle to understand; however, the knowledge the educator brings towards different mathematical concepts will result whether students will be a successful and confident learner. In early childhood education, there are four areas that the educator must have knowledge behind and efficiently use when teaching different mathematical components. How the teacher incorporates these areas while teaching is critical and includes; questioning, play, assessment and planning and the use of resources and manipulatives. It is essential that educators understand how to deliver mathematical content for all student’s abilities and adapted different concepts where required using a variety of different experiences. To understand and teach early childhood students the concepts of mathematics, I have to build on my own understanding. By building on my knowledge and skills, I am helping to prepare myself for when I am an early childhood educator. I took part in an Early Years Mathematics Competency Test (EYMCT), where I was able to reflect on my results. I was able to analyse my knowledge and understanding by comparing it against the Australian Curriculum with specific links for years one to year three (Australian Curriculum, Assessment and Reporting Authority [ACARA], 2016). This essay will reflect on my personal mathematical knowledge both positive and negative areas and what I need to …show more content…
The assessment consisted of 20 questions, which were related to the concepts for years one to three from the Australian Curriculum links. Included were questions involving number, algebra, measurement, geometry, statistics and probability (ACARA, 2016).
This assessment allowed me to reflect helping me to prepare myself for when I am an educator allowing me to reflect on different areas, which may need
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,
Van de Walle, J., , F., Karp, K. S., & Bay-Williams, J. M. (2010). Elementary and middle school mathematics, teaching developmentally. (Seventh ed.). New York, NY: Allyn & Bacon.
The current framework is the EYFS which support children’s mathematical and literacy development. One of the EYFS principle in the Development Matters is the “unique child” concept which means that “every child is a competent learner from birth who can be resilient, capable and self-assured.”- Development Matters (www.foundationyears.org.uk) This means that every child are different but have many different skills and learning styles. The government initiative of a unique child is over the death and case study of Victoria Climbié which had an impact on the practice of Early Years practitioners. The aim of this initiative is that practitioners have to make sure that children are being supported to overcome hardship or to support those who are being neglected, “reduce their level of
Assessment has been the greatest challenge in my development as a professional. My coursework as supported my growth in this area, especially in understanding the broad range of assessments used to support students’ growth and development. My courses have also supported my understanding of how ongoing observational assessment and standards-based measures can be used to inform instruction and support the cycle of observation, reflection and planning. Coursework
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.
There are different methods and uses of assessment that are used in the Education system, the reason for this, is that not all assessments serve the same purpose for its methodologies, the feedback that learners receive needs to correspond with the purpose of the assessment. (Sieborger, 1998)Thus educators tend to make use of multiple assessments to establish a fair and just measurement of the learner’s capability. This essay will extensively describe and analyse the tensions between the two methods of assessment: Summative assessment and Formative assessment and further reflect on their ability to integrate.
Mathematical dialogue within the classroom has been argued to be effective and a ‘necessary’ tool for children’s development in terms of errors and misconceptions. It has been mentioned how dialogue can broaden the children’s perception of the topic, provides useful opportunities to develop meaningful understandings and proves a good assessment tool. The NNS (1999) states that better numeracy standards occur when children are expected to use correct mathematical vocabulary and explain mathematical ideas. In addition to this, teachers are expected
I believe that learning mathematics in the early childhood environment encourages and promotes yet another perspective for children to establish and build upon their developing views and ideals about the world. Despite this belief, prior to undertaking this topic, I had very little understanding of how to recognise and encourage mathematical activities to children less than four years, aside from ‘basic’ number sense (such as counting) and spatial sense (like displaying knowledge of 2-D shapes) (MacMillan 2002). Despite enjoying mathematical activities during my early years at a Montessori primary school, like the participants within Holm & Kajander’s (2012) study, I have since developed a rather apprehensive attitude towards mathematics, and consequently, feel concerned about encouraging and implementing adequate mathematical learning experiences to children within the early childhood environment.
Assessment, in the context of education, was defined by Lambert, D (2000, pag 4) as the processs of gathering, recording and using information about pupils' responses to educational tasks. Despite some can consider that assessment is separated from the learning process, assessment is, in fact, an essential part of the learning proccess. Maguire, M. and Dillon, J. (2007, pag 213) pointed out that assessment is intrincately bound-up in the teaching-learning cycle.
Skemp, R (2002). Mathematics in the Primary School. 2nd ed. London: Taylor and Francis .
Kirova, A., & Bhargava, A. (2002). Learning to guide preschool children's mathematical understanding: A teacher's professional growth. 4 (1), Retrieved from http://ecrp.uiuc.edu/v4n1/kirova.html
...S. and Stepelman, J. (2010). Teaching Secondary Mathematics: Techniques and Enrichment Units. 8th Ed. Merrill Prentice Hall. Upper Saddle River, NJ.
Through assessment students and teachers are able to determine the level of mastery a student has achieved with standards taught. Both formative and summative assessment should be purposeful and targeted to gain the most accurate data to drive further instruction (Ainsworth, 2010). While this syllabus does a good job of identifying the need for both formal and informal assessments, the way in which this is communicated does not provide enough detail for understanding. Simply listing assessment types does not give any insight into how these assessments fit in the learning process of this course. While some of the assessments mentioned could be common assessments chosen by the school or district to gain insight into the effectiveness of instruction, the inclusion of authentic assessments is most beneficial to students and demonstrates learning in a context closer to that of a work environment (Rovai, 2004). Unfortunately, this particular course, according to this syllabus, relies heavily on quizzes and traditional tests and essays to form the bulk of assessment opportunities. While other activities, such as formative assessments, journaling and discussions are mentioned as possible avenues for scoring, they are given a very low percentage of the overall grade. This shows that they are not valued for their ability to show progression and mastery. If this is indeed the case, this puts the students as a
Throughout out this semester, I’ve had the opportunity to gain a better understanding when it comes to teaching Mathematics in the classroom. During the course of this semester, EDEL 440 has showed my classmates and myself the appropriate ways mathematics can be taught in an elementary classroom and how the students in the classroom may retrieve the information. During my years of school, mathematics has been my favorite subject. Over the years, math has challenged me on so many different levels. Having the opportunity to see the appropriate ways math should be taught in an Elementary classroom has giving me a
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