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Integrating interactive whiteboards for effective teaching
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Within early childhood contexts, numeracy skills have been embedded within play, care and learning practices for decades (Doig, McRae, & Rowe, 2003); primary and secondary educational contexts are embedding numeracy skills across the curriculum; as can be evidenced by the introduction of Numeracy as one of the General Capabilities in the Australian Curriculum (ACARA, 2014). Learning mathematics can sometimes be challenging and boring at times, but modern technology and its tools have changed the way students see mathematics in the twenty first century. Almost every school in Australia has an Interactive White Boards that can be used in the classroom to enhancing learning. As students get the opportunity to use ICT as part of
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,
The article Math Is Everywhere! written by Amy Shillady goes right into the fact that preschoolers use math often throughout the day without even realizing it and that it is our job as the teacher to really take advantage of each of these little moments. The article is divided up by how to use specific common preschool classroom materials and then goes into how to support math in each of your learning centers.
...o get attracted by easy and quick ways of learning things. If the technology provides easy and attractive solutions to students, they will get addicted to it and overuse it in ways which can certainly drop the educational standards. Gelernter disagrees with the comment made by a school principle, “Drilling addition and subtraction in an age of calculators is a waste of time.” (279). He revels the bitter truth where American students are not fully prepared for college because they have poorly developed basic skills. In contrast to this reality, he comments, “No wonder Japanese kids blow the pants of American kids in math.” (280). He provides the information from Japanese educator that in Japan, kids are not allowed to use calculators till high school. Due to this, Japanese kids build strong foundation of basic math skills which make them perform well in mathematics.
Curriculum content is still presented in the same linear fashion as it was in previous curriculum documents and, as a consequence, many teachers continue to teach it in the same unconnected way and inevitably, many children learn it in the same unconnected way (Hurst, 2015). A purpose of the new Mathematics Australian curriculum was to make the curriculum “deep” rather than “wide” (National Curriculum Board, 2009). A way teachers can address this situation effectively is by thinking at more of a ‘macro level’ in terms of ‘big number ideas’. For example by teaching proportion, percentage and ratio, or decimals and fractions with associated language and is carried out with 'actions on objects ' engages students in activities with numerical quantities that are interesting, meaningful and develops links to multiplicative thinking. Language is an abstraction as much as the mathematical ideas are; therefore students must carry out the activity at the same time as the 'talking about ' what is going on for it to be
Developments in technology have also created many more opportunities of integrating literature in the mathematics classroom. The Internet, SmartBoards, and computers allow for documents, articles, newspapers, videos, audios, and other multimedia sources to be broadcast in a classroom. This allows teachers to use multiple resources in a lesson (Shults, 2008).
While numeracy and mathematics are often linked together in similar concepts, they are very different from one another. Mathematics is often the abstract use of numbers, letters in a functional way. While numeracy is basically the concept of applying mathematics in the real world and identifying when and where we are using mathematics. However, even though they do have differences there can be a similarity found, in the primary school mathematics curriculum (Siemon et al, 2015, p.172). Which are the skills we use to understand our number systems, and how numeracy includes the disposition think mathematically.
Many students begin school with little to no experience with numbers. Unfortunately, because of this, many students have trouble learning how to count. To help with this there are several things that can be used to help students understand these concepts. These include the counting rules of one-to-one correspondence, stable order rule, order irrelevance rule, and cardinality rules. By the time a student completes kindergarten and begins first grade we as teachers hope that they have the prerequisite knowledge of being able to count to 10. To get them to count up to 15 I will need to build on the skills they have already. I will first begin with one-to-one correspondence to make sure that they understand that each object has a number. To do this I will use little candies that they will place in a straight line. I will do the same thing up on the board by writing the numbers one through 15. I will take pictures of the same candy and count out with them putting one picture under each number. As I do this on the board they will do the same thing at their desks by counting each candy by touching it as they count. Next, I will need to make sure that students understand the stable order rule. According to our book the stable order rule looks like a number – name list that is used in a fixed order every time a group of objects is counted. So when a student counts one, two, three, four,… thirteen, fourteen, fifteen, they are following the rules of stable order. However, when a student is unable to get their numbers in the correct order for example, they say one, two, ten, seven, five, and so on there are two options the teacher can use. These are reteaching or having the students listen to other students count c...
For adults, math is used in many ways, from configuring sales tax and tips to figuring gas mileage and averages; but for children it sometimes seems as if the only time for math is for homework and tests. The initial purpose for schools in this department is for the students to see and understand the practical uses of it, however it is controversial that the use of teaching with calculators changes this idea. In the short essay Ditch the Calculators, the author Diane Hunsaker insinuates that the overuse of calculators in math class defeats the ultimate goal of education: expanding the mind and increasing students abilities to function as contributing members of society. As society enters the twenty-first century it seems that teaching and learning has an entirely new perspective. It seems as though the new technologies that are introduced in school, computers and calculators, are not producing the same effects that learning without them once had. As a college level student I feel that, from my own experience, I am an advanced math student because the rules and principles were drilled into my memory and not that of a calculator at a young age.
According to Booker et al., (2014) typical difficulties children experience as they develop their understanding result from misconceptions or gaps in understanding. They also state children often confuse similar sounding names, write numbers in the wrong order and have difficulty comparing numbers. It is vital, according to Booker et al., (2014), to overcome these difficulties and misconceptions, that teachers follow a specific sequence of steps to establish number understanding because when children meet ‘powerful ideas’ for the first time they must be presented in accord with their needs (Booker et al., 2014). Three of the most common confusions or misunderstandings are the confusion of teen numbers, misinterpreting specific vocabulary and confusion relating to the concept of zero. Therefore, to overcome difficulties and misconceptions held by children, teachers must assess students regularly to ascertain if there are any gaps in understanding before moving to the next
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.
Finger counting has been commonly practiced to facilitate children’s numerical development across cultures and times (Butterworth, 1999; Domas, Moeller, Huber, Willmes, & Nuerk, 2010). During early stages of development, fingers and external objects are often used to help children understand basic numerical concepts such as numerical quantity, the counting system and the symbolic representations using Arabic digits. The external numerical representation using fingers help children understand the one-to-one correspondence principle in meaningfully forming their fundamental knowledge in numeracy. Finger counting is considered a readily available and concrete scaffolding tool which aids calculation before children can master more advanced and adaptive cognitive strategies such as
The early acquisition of mathematical concepts in children is essential for their overall cognitive development. It is imperative that educators focus on theoretical views to guide and plan the development of mathematical concepts in the early years. Early math concepts involve learning skills such as matching, ordering, sorting, classifying, sequencing and patterning. The early environment offers the foundation for children to develop an interest in numbers and their concepts. Children develop and construct their own meaning of numbers through active learning rather than teacher directed instruction.
Counting is a powerful early tool complicatedly connected with the future development of students’ conceptual understanding of quantity, place value, and the operations (Geary, 2004). Young children often don't understand the meaning behind the counting they develop counting in a rote fashion in isolation from the actual number of objects involved (Smith 2012). Concrete representation should be used to develop initial understanding of counting and numbers. These concrete examples helps student to make visual comparison. It is important to remember there is no single concrete object that is most effective teachers have to be creative and provide different types of objects sense (Kamii & Housman, 2000). Children can use fingers at first to represent numbers then they should be taught to use concrete objects so that they can see math beyond classroom (Witzel, Ferguson & Mink , 2012) . Adjusting textbook work to teach students according to their need is very
Often, mathematics is considered to be difficult and a heavy subject. According to Cook (2012), incorporating multimedia resources can effectively lighten and assist with teaching this subject. We believe that the use of technology and real-world examples can stimulate and engage student learning. For our topic, we rely on shopping brochures and PowerPoint media.
Schools have an important role to ensure that students become familiarised and gain confidence with modern computer based mathematical tools. This will ensure that school leaving students become useful members of society as these tools are increasingly being used in the workplace. The use of physical and digital equipment, software and calculator devices in assessments is supported by the Organisation for Economic Cooperation and Development (OECD) in their Program for International Student Assessment (PISA) (n.d., 2010).