(Reys et al, 2012). The concept of ten ones, make one ten was modelled and incorporated into asking questions like “one more than five”, “one less than 5” and “how many more to make one ten”. Polly initially struggled with the language used as when she was asked to show one more than five she did not understand what was required. Further elaboration was required such as put “five in your head and then one more”. The lesson also incorporated writing numbers in numeric and written form.…
This essay concludes this assignment and this semesters mathematics module, when first starting the module I felt that my subject knowledge was adequate taking into account that I am out of practise by 4 years. When attending the seminars I quickly realised that I had to revise certain areas of subject knowledge in order to be able to have better practice, and I now have a greater understanding of effective pedagogy. In this essay however I will be discussing the research I have made on how attitudes surrounding mathematics has an impact on how well children perform in a mathematics lesson. There is much written documentation of the complexity of effectively teaching and deliver a good standard mathematics lesson to children one crucial point rasied after studying this was the importance of having a positive attitude around the subject, and the subject matter. Haylock (2007) suggested that the effectiveness of teaching mathematics with an…
Aims: - To develop a positive attitude to numeracy and maths as an interesting and exciting subject in which all children gain success and enjoyment - To develop numeracy understanding through systematic direct teaching of - To encourage the effective use of numeracy and maths as a tool in a wide range of activities within and out of school - To develop an ability in the children to express themselves fluently, to talk about the subject with confidence, using correct mathematical language and…
The exercise was a very interesting simulation because I had never been put into a situation where I had to face so much pressure before and it was very interesting for me to see how I dealt with the pressure. Additionally, as CEO of my FME company I have been put into some situations where I was under quite a lot of stress, but this stress level was at a much higher level with me having to prioritize what I wanted to assess first and what I wanted to attend to last. I think I was most effective at focusing on each aspect separately and not attending to several things simultaneously. For instance, even though I was continuously getting alerts on my email address about the several other things I had to attend to, I didn’t get distracted and…
Developing multiplicative thinking in the early years teaching mathematics: foundations to middle years, pp. 350-393. Retrieved from http://edocs.library.curtin.edu.au/eres_display.cgi?url=DC60266275.pdf©right=1 Siemon, D., & Breed, M. (2005). From additive to multiplicative thinking: The big challenge in the middle years. In J. Mousley, L. Bragg, & Campbell, C. (Eds.), Mathematics: Celebrating Achievement.…
Teacher: We are going to learn to multiply a two digit factor times a two digit factor to figure out how much money we have. We need to know how to count money so we can learn how to save money and buy things for us and our friends. You guys want to be able to buy Halloween treats don’t you? Students:…
We used different colored construction paper, and allowed for them to decide how they wanted to organize their cards, whether they were all one color, or each set would be different colors. From reviewing their pre-assessment data I realized they were all proficient with the zero’s one’s and two’s. We focussed on the threes through eights because it was what they were all working with and they were really good with their nines already. We created the flashcards, the students were able to raise their hand if they did not know an answer to a multiplication fact, normally questions came from the sixes through eights because they are the most challenging. We then reviewed each multiplication fact, making sure we had all our facts correct on our cards.…
• Introduction: In order to help students become engaged and motivated I will begin class with an interactive choral response activity, which will help students with their fluency. I will explain to students that we will count to 20 both backwards and forwards and in order to know whether to count up or down students will need to watch my hands/fingers for the signals. When I point my finger up students will count forward, when I point my finger down students will count backwards, and when I make a fist students will stop. I will then tell students to count to 20, but this time they will whisper every other number and say the other numbers in a regular voice.…
Result Children at the preoperational stage cannot yet conserve. These tasks are mastered gradually over the concreate operational stage. (Berk 244) Based on the answers of the littler girl seems to be in the preoperational stage because she presents the lacks of logic to understand conservation principles. According to Jean Piaget, young children are not able to understand operations which means that they do not have the ability to realize the logical observation that they are facing.…
In fourth grade various new math ideas are presented and many students can face difficulties when new material is introduced. Difficulties are especially displayed when it comes to discovering decimals. Although decimals are introduced in fourth grade they are continuously presented in math thereafter. One common misconception held about decimals is the idea that the more digits that are presented in a number, the greater the value of the number. An example of this is students believing that 3 is less than 0.7648 when this is definitely not the case.…
As I child growing I vaguely remember learning mathematical ideas. Unfortunately, it is common for adults to have lasting negative ideas about mathematics due to the way in which the concepts were presented to us as children. Is it therefore very important that we are able to scaffold children's learning in such a way that they do not feel confused or lose their enthusiasm for mathematics. Children who are learning mathematical skills need supportive adults who recognise the importance of this and are able to foster feelings of interest and achievement in the subject.…
One important aspect of mathematics is interpreting the meaning of the numbers in the different operations. Van De Walle, Karp, Bay- Williams, (2013) emphasize the importance of developing meaning, interpretations, and relations to the four operations to help students integrate mathematical skills into the real world. For division, teachers should help students identify and use different meanings of remainders to help the learners understand and apply different rules. As students become knowledgeable of the different meanings that the remainder possesses they will be able to interpret the quotient in different ways. Throughout this paper, I will describe the different interpretations of the remainders and division problems using various examples.…
A student will start to develop their place value knowledge once they are confident using number names, classifying objects, identifying patterns and as they begin to develop their counting skills. From Year 1, the Australian Curriculum expects students to count collections to 100 by partitioning numbers using place value (ACARA, 2016). This means students need to learn about grouping in tens and that two-digit numbers are made up of tens and ones. Booker, Bond, Barrow and Swan (2014, p. 87) identify six stages in the development of numeration (place value). These include ensuring a student understands the one digit numbers 0-9 and identifying these are the basis for all numbers; developing a student’s ability to think in groups of tens (10 ones are 1 ten) and thinking of the multiples of ten; understanding the place value of two digit numbers 20-99 and then the more irregular numbers 11-19; understanding the place value of three digit numbers (10 tens are 1 hundred); understanding the place value of four digit numbers (10 hundreds are 1 thousand); and finally, develop the students understanding of second place value for larger numbers (grouping in hundreds, tens and ones of thousands,…
Maths and many of its aspect are a major part of everyday life. Literacy and numeracy are essential skills for all children to develop. Every child has different learning ability and therefore it will be a good idea to determine each child’s maths literacy level for them to succeed. The two theories of learning discussed are Behaviorism and Constructivism. According to the theory constructivism is best suited to the learning and teaching of maths over behaviorism.…
In this marketing simulation game as a group, we experience success and failures through trials and tribulations learning how to compete in technology world bringing quality products to customers across the world. We had to study the market from our competitors to know how to adapt to the market and also how to reach customer needs and wants. We researched the marketing field to make a decision on what the initial market segment we wanted to target in. In which we collectively chose our target sections to get involve in because it represented the common businessman technology that has a high value of quality at an affordable rate. Next started to open sales offices where we believe our products will thrive in the markets to increase our popularity…