Place Value And Base-10 System Analysis

Improved Essays
Children's understanding of place value and the base-ten system is constructed upon a broad conceptual framework of number size, number relations, flexible decomposing and reconfiguring numbers, and thinking multiplicatively. To understand place value is to understand the structure and sequence of the base ten number system. As students count, they interpret the values of written and spoken numbers, and decide which number is smaller or larger, and explore the relationships among numbers; children begin to develop a picture of the number system. The base-ten numeration system is the system that most common building blocks needed to further mathematical concepts including the computation of numbers and are a basis for developing an understanding

Related Documents

  • Superior Essays

    Partitioning relates to thinking flexibly about numbers and links to Key Understanding 6 in FSiM (DETWA, 2013a, p. 60). During the subsequent sessions, activities using place value mats, tens frames, MABs, abacus, bundling sticks, arrow cards, and number expanders allowed Athena to show the same numbers in various formats (multiembodiments) as advised by Reys et al. (2012). This helped her to recognise the visual and symbolic nature of the numbers and see how numbers can be partitioned in both standard and non-standard ways (Appendix D). In extending her writing of numbers on the place value mat, in addition to using the iPad abacus app with digital readout, and playing Place Value Knockout, Athena began to also recognise the multiplicative nature of the place values (ACU, 2011a, pp.…

    • 1550 Words
    • 7 Pages
    Superior Essays
  • Superior Essays

    Qlt1 Task 4

    • 1713 Words
    • 7 Pages

    Booker, Bond, Sparrow & Swan (2014) note that using the tens frames is beneficial as a mental representation as it helps children develop an ability of viewing numbers without counting through the building patterns, by seeing ten when the frame is full and giving zero a meaning when the frame is empty. Reys, Lindquist, Lambdin, Smith, Rogers, Falle, Frid & Bennett (2012) view learning opportunities with the tens frame as promoting the development addition, subtraction, multiplication and importantly place value. In addition, according to Reys et al, (2012) it is beneficial to enter into discussions about different patterns. Therefore, Polly was engaged in verbal questions such as “give me one more” or “one less”. The reason for this is that it aids in conceptual understanding of ten as exploring these relationships promotes flexibility of numbers and overall number sense.…

    • 1713 Words
    • 7 Pages
    Superior Essays
  • Great Essays

    Unit 1-3 Analysis

    • 1565 Words
    • 7 Pages

    It seems that throughout American history that if you weren’t the typical “white” American your voice wasn’t heard, as if their opinions and values were “muted” from the “white” American. Society had been become so “whitewashed” throughout time that if you were any other race you were basically invisible in work and society besides with your own group of people. This doesn’t only apply to race as gender also plays a big role into this as well as women were not as privileged as the men. Out of Units 1-3 I choose to discuss article 1, 3, 5, 6 and 34.…

    • 1565 Words
    • 7 Pages
    Great Essays
  • Decent Essays

    Activity 11.29 Analysis

    • 182 Words
    • 1 Pages

    One activity that changed the way I think of math was Activity 11.29. In this activity is was about collecting 10,000 items. Often times we assume that older students understand concepts that was taught in the younger grades. Having students’ physically represent numbers and place valve helps solidify the concept.…

    • 182 Words
    • 1 Pages
    Decent Essays
  • Great Essays

    EDEL 462: Assignment Paper

    • 1998 Words
    • 8 Pages

    Grade level: a. 2nd Grade CCSS Content Standards for Mathematics Number and Operations (base ten or fractions) heading: a. NBT.5 Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. Lesson objective(s): a. Students will be able to accurately use place value understanding and properties of operations to add and subtract numbers within 100. b. Through multiple activities students will fluently use mental math as well as work in collaborative groups. Materials: a. Pair of dice per group b. 100’s…

    • 1998 Words
    • 8 Pages
    Great Essays
  • Decent Essays

    3-2 The whole system is an intricate web. It includes laws, rules, policies, customs, and institutions that control labeled criminals both in and out of prison. Once prisoners are released, their label follows them for the rest of life. Former prisoners have a lot of difficulties (such as job, economic situation) when they back to society. They will enter invisible legalized discrimination and permanent social exclusion.…

    • 66 Words
    • 1 Pages
    Decent Essays
  • Improved Essays

    Mythography Project

    • 515 Words
    • 3 Pages

    “Mythography” Project I use numbers and math for lots of things in my daily life. I use numbers and math for baking, measuring, learning activities, counting, telling time, planning, and scheduling. The first thing I use math and numbers for is baking and washing dishes. I use the numbers on the oven and microwave to set operating cycles. I use the microwave to make delicious noodles, and the oven for baking cookies.…

    • 515 Words
    • 3 Pages
    Improved Essays
  • Improved Essays

    Competency Goal 3

    • 696 Words
    • 3 Pages

    Estimating and rounding subtraction, three and four digit subtraction, and subtracting across zeros. Some students will need instructions and story problem read to them. Two students receive reduced problems to help them be successful. Students who need additional instruction will receive it.…

    • 696 Words
    • 3 Pages
    Improved Essays
  • Improved Essays

    Overall, the different models discussed in the article showed me the different misconceptions that the students had over integer’s numbers. In addition, I learned that students can have some early understanding of negative numbers which may not be entirely correct, but somehow correlated to the…

    • 793 Words
    • 4 Pages
    Improved Essays
  • Great Essays

    But what happens when you dare to break the barriers of ordinary language? “When numbers acquire the significance of language,…

    • 2033 Words
    • 9 Pages
    Great Essays
  • Decent Essays

    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…

    • 2057 Words
    • 9 Pages
    Decent Essays
  • Improved Essays

    Annotated Bibliography 1. (n.d.). School-wide strategies for managing mathematics. Intervention Central, Retrieved from http://www.interventioncentral.org/academic-interventions/math/school-wide-strategies-managing-mathematics In this article the importance of children’s development of number sense, understanding of how number concepts work and the relationships between numbers is discussed along with thes and order of operations and then by upper middle school they begin to master word problems.…

    • 1793 Words
    • 8 Pages
    Improved Essays
  • Brilliant Essays

    (2015). Week 5: Multiplicative thinking [PowerPoint slides]. Retrieved from Curtin University EDP243 Blackboard site. Jacob, L., & Willis, S. (2003). The development of multiplicative thinking in young children.…

    • 1323 Words
    • 6 Pages
    Brilliant Essays
  • Improved Essays

    If you ask me whether or not I like children, my answer, given grudgingly, would always be yes. That’s not to say I have any particular dislike for them, but an hour of trying to teach them what the number 11 is when they try to count on their fingers can only be described as incredibly tiring. “Come on you guys, 11 is not the number 1”, I told them gently. It would have been another mind-numbing hour had one of the fellow student-helpers not suggested I use blocks instead. We made immediate progress from that point.…

    • 573 Words
    • 3 Pages
    Improved Essays
  • Great Essays

    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.…

    • 1482 Words
    • 6 Pages
    Great Essays