Place Value Papers

argumentative Essay
1214 words
1214 words

Place value is an important foundational area of Mathematics that underpins the development of more complex skills, including addition and subtraction, decimals and multiplicative thinking (Dawson, 2015). Students do not always have the place value knowledge and skills to apply learning to more abstract contexts. Understanding base ten numbers is one of the most important mathematics topics taught in primary school, and yet it is also one of the most difficult to teach and learn. Base ten blocks are used to teach place value concepts, but in a lot of cases, children often do not perceive the links between numbers, symbols, and models. Research shows that many children have inaccurate or faulty number conceptions, and use rote-learned procedures …show more content…

In this essay, the author

• Explains that place value is an important foundational area of mathematics that underpins the development of more complex skills, including addition and subtraction, decimals and multiplicative thinking.
• Explains that understanding base ten numbers is one of the most important mathematics topics taught in primary school, but it's also difficult to teach and learn.
• Explains that place value is the idea that each digit represents a certain amount, depending on the position that it occupies. it is introduced in the lower elementary grades to help students manipulate numbers and solve problems.
• Explains that children's exposure to numbers occurs via a variety of media, including songs, play, interaction with adults and other children, picture storybooks, and television programs.
• Explains that ideas about place value develop from earlier ideas such as counting and subtilizing. babies can make judgements about the relative sizes of sets of objects before their first birthday.
• Recommends using base ten blocks or strips to ensure that students see the value of numbers.
• Explains that understanding the process of knowledge change is a central goal in the study of development and education.
• Analyzes georgia's response to the interview to assess her understanding of a place value and other mathematics concept. she had misconceptions, errors, and limited conceptions evident in her response.
• Cites amsi.org.au (2015). counting and place valuek-4. dawson, e., lesson study: improving teachers' conceptions of students' understanding in place value.
• Explains how students build an understanding of place value in investigations.
• Cites price, p., lindquist, m, lambdin, d, smith, n, rogers, a, & falle, j.

Therefore, a number like 356 has a 3 in the hundreds place, a 5 in the tens place, and a 6 in the ones place. The digit 3, in the hundreds place, does not represent 3 as it represents 300. This idea is generally introduced in the lower elementary grades in order to help students manipulate numbers and solve problems. If a child understands that number 356 is actually 300+50+6, the student can play around with this number more easily. Understanding this concept might make it easier to add or subtract numbers, as well as use multiplication in the future grades – 365 x 3 = (300 x 3) + (50 x 3) + (6 x 3). The concept that numbers can be broken apart and put back together gives the student a more solid understanding of how different operations work. Not only that, but the student can also figure out how to solve problems independently by playing with the numbers (Rumack, …show more content…

Georgia’s response revealed that she had not developed the idea that the “tens” digit represents a collection of ones, but believed that it represented only it face value. She has also thought the point is the decimal fraction in decimals. She requires the explaining of the value of each of the digits for numbers when there is a decimal notation. Using models such as ten frames became a vital tool to highlight the correct language of place value. When it is implemented into the lesson, it will provide opportunities to demonstrate, explain and justify the