Preview

Children's Development Of Proportional Reasoning

Satisfactory Essays
Open Document
Open Document
190 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Children's Development Of Proportional Reasoning
The four steps in children"s development of proportional reasoning are
Nonproportional reasoning: At a very young age children are in this stage of applying addition reasoning instead of multiplicative. Usually, their reasoning is wrong, since they focus on the number and not on the proportion.
The other stage is Informal reasoning about proportional situations: By this stage, students are able to use multiplicative reasoning with pictures and manipulatives to show proportions, but they are no able to make calculations.
Quantitative reasoning: students will start to use multiplication and division, but still use drawings and manipulatives.
The last stage is Formal proportional reasoning: students are capable to understand and solve proportions.
Continue Reading
View Writing Issues

You May Also Find These Documents Helpful

  • Good Essays

    Langauge Model for Mathematics
    • 593 Words
    • 3 Pages

    Langauge Model for Mathematics

    Developing mathematical thinking from an early age is extremely important in establishing students understanding of number concepts. Clements (2001, p271) concludes that children “are self-motivated to investigate patterns, shapes, measurement, the meaning of numbers, and how numbers work, but they need assistance to bring these ideas to an explicit level of awareness.” Children learn mathematical ways of thinking, such as counting, subitising and patterning from a young age. The absence of mathematical understanding and ways of thinking, restricts children from grasping the concepts and processes they are learning. Booker et al. (2010) says children who lack early mathematical thinking are unable to link ideas and instead are provided with the skills of obtaining answers in unrelated ways. Developing mathematical thinking from a young age provides a meaningful basis for children to make connections between the full range of mathematical concepts (Booker et al., 2010).…

    • 593 Words
    • 3 Pages
    Good Essays
    Read More
  • Satisfactory Essays

    WeekOneTeamWorkEditTwo
    • 608 Words
    • 3 Pages

    WeekOneTeamWorkEditTwo

    References: Sarama, J., & Clements, D. H. (2006). Mathematics in kindergarten. (61 ed., Vol. 5, p. 38). YC Young Children. Retrieved from http://media.proquest.com.ezproxy.apollolibrary.com/media/pq/classic/doc/1129349361/fmt/pi/rep/NONE?hl=&cit:auth=Sarama, Julie;Clements, Douglas H&cit:title=Mathematics in Kindergarten&cit:pub…

    • 608 Words
    • 3 Pages
    Satisfactory Essays
    Read More
  • Good Essays

    Nt1310 Unit 6 Assignment 3.1
    • 680 Words
    • 3 Pages

    Nt1310 Unit 6 Assignment 3.1

    1. Summarize the developmental progressions the author describes. What are key points early childhood teachers should keep in mind as they are growing young children to have a firm foundation in math?…

    • 680 Words
    • 3 Pages
    Good Essays
    Read More
  • Good Essays

    Nine Ways To Catch Kids Up Analysis
    • 506 Words
    • 3 Pages

    Nine Ways To Catch Kids Up Analysis

    In the article, Burns discusses nine strategies to help those students who lack the foundation of mathematical understanding on which to build new learning. The first strategy covered is to determine…

    • 506 Words
    • 3 Pages
    Good Essays
    Read More
  • Good Essays

    Know the Structure of Education from Early Years to Post-Compulsory Education
    • 711 Words
    • 3 Pages

    Know the Structure of Education from Early Years to Post-Compulsory Education

    3. Problem Solving, Reasoning and Numeracy: Developing a growing understanding of problem solving and numbers, through stories, songs, games and play. Children should become comfortable with numbers and use language such as 'heavier than' or 'bigger'.…

    • 711 Words
    • 3 Pages
    Good Essays
    Read More
  • Powerful Essays

    Wk7AssgnNixL
    • 1812 Words
    • 8 Pages

    Wk7AssgnNixL

    I currently teach a second grade class, but I have learned valuable information that I can use to help prepare my students mathematically for third grade. In second grade, my class completes tasks focusing on arrays and repeated addition toward the end of the school year. Creating equal groups is another concept taught more toward the end of the year. This course has provided insight on the importance making connections between mathematical operations: addition, subtraction, multiplication, and division. Another skill taught in second grade is decomposing numbers into hundreds, tens, and ones as students write numbers in expanded form or use base ten blocks to create a visual representation of a number. Students will continue to decompose numbers as they transition from addition and subtraction to multiplication and division (Beckman, 2014a, p.316). Completing assignments for grades higher than…

    • 1812 Words
    • 8 Pages
    Powerful Essays
    Read More
  • Powerful Essays

    Curriculum Based Summative Assessment Design 1
    • 1454 Words
    • 11 Pages

    Curriculum Based Summative Assessment Design 1

    example they will use objects to signify the problem. The students will be able to combine, and…

    • 1454 Words
    • 11 Pages
    Powerful Essays
    Read More
  • Powerful Essays

    Multi-Tiered Support System Plan
    • 1431 Words
    • 6 Pages

    Multi-Tiered Support System Plan

    They don’t need to hide behind a calculator. Little by little, they are realizing that they can solve problems using their own thoughts. By requiring them to explain their thinking, they are taking ownership in their ideas, allowing for greater retention. When considering the specific learning goals for this unit, students were able to identify that “10” was incorrect because it was a number less than the starting value. They recognized that they needed to add the tip to get the final amount. This was a big success, as many students struggle to connect the calculations with the context. In the video, students were also able to connect a percent to a ratio, a decimal, and a fraction. Students at all levels have a difficult time seeing that a fraction, decimal and percent are all different representations of the same value. When given a skill check quiz focusing on multi-step percent problems, 24 of the 27 students in this class were proficient or higher, showing that they can find a percent and apply it to a given…

    • 1431 Words
    • 6 Pages
    Powerful Essays
    Read More
  • Good Essays

    The Aims and Importance of Learning Provision for Numeracy Development.
    • 354 Words
    • 2 Pages

    The Aims and Importance of Learning Provision for Numeracy Development.

    The curriculum gives pupils a solid grounding in all aspects of numeracy. In early years numeracy skills are developed practically in shape, pattern, counting, sorting and measuring. Teachers in reception classes follow the Foundation Stage Curriculum which includes problem solving, reasoning and Numeracy for pupils 40-60+ months old. This is developed through pupils exploring, playing games and through teacher planned activities. The areas for Foundation Stage are:…

    • 354 Words
    • 2 Pages
    Good Essays
    Read More
  • Powerful Essays

    Jane
    • 1889 Words
    • 8 Pages

    Jane

    | Children at this stage tend to be egocentric and struggle to see things from the perspective of others. While they are getting better with language and thinking, they still tend to think about things in very concrete terms.…

    • 1889 Words
    • 8 Pages
    Powerful Essays
    Read More
  • Good Essays

    Eymp2
    • 386 Words
    • 2 Pages

    Eymp2

    Children must be supported in developing their understanding of Problem Solving, Reasoning and Numeracy in a broad range of contexts in which they can explore, enjoy, learn, practise and talk about their developing understanding.…

    • 386 Words
    • 2 Pages
    Good Essays
    Read More
  • Better Essays

    lesson plan Kinder
    • 1385 Words
    • 6 Pages

    lesson plan Kinder

    (K.4) Number, operation, and quantitative reasoning. The student models addition (joining) and subtraction (separating). The student is expected to model and create addition and subtraction problems in real situations with concrete objects.…

    • 1385 Words
    • 6 Pages
    Better Essays
    Read More
  • Satisfactory Essays

    Wrongful Conviction
    • 253 Words
    • 1 Page

    Wrongful Conviction

    Write up is either not completed ( 0 points) or illustrates very little attempt to complete guidelines in a professional manner Article Summary (1-2 pages) Smith, John P. and Elizabeth A. Phillips. Listening to middle school students algebraic thinking. Mathematics Teaching in the Middle School 6 (November 2000) 156-61. Geraldine Moore Virginia State University Math 131-01 Date Critique/Evaluation/ Reflection of Article (1/2 1 page) Y, dXiJ(x( I_TS 1EZBmU/xYy5g/GMGeD3Vqq8K)fw9…

    • 253 Words
    • 1 Page
    Satisfactory Essays
    Read More
  • Good Essays

    English Language Learners
    • 811 Words
    • 4 Pages

    English Language Learners

    4. Intermediate stage- the student is able to make statements and answer in complete sentences. They are also able to give their own opinion, if they don’t understand they will make sure they understand what you are asking and or saying.…

    • 811 Words
    • 4 Pages
    Good Essays
    Read More
  • Satisfactory Essays

    Explain the Legal Status of
    • 362 Words
    • 2 Pages

    Explain the Legal Status of

    Children are assessed at the end of the reception year. It is class teacher’s responsibility to complete an early year profile which comprises thirteen different scales that link to the early learning goals from the areas of learning. There is one example.…

    • 362 Words
    • 2 Pages
    Satisfactory Essays
    Read More

Related Topics