Teacher's Guide for Core Place Value Concepts: Teaching Strategies and Recommended Resources

Introduction Alongside the cardinal concept of numbers, and the part-whole concept, the concept of place value is recognised as a critical component in the development of number understanding for children. Our number system is based on five principles: the principle of bundling and unbundling; the decimal system; the principle of place value; the multiplicative principle; and the additive principle. Teachers require a complete understanding of the concept of place value, and how to teach the concept, as well as appropriate working materials (e.g., MABs, place value charts, place value apps) to assist children in developing a robust understanding of place value. Although the five principles apply regardless of the base being used, in this guide we will only refer to work with students using Base Ten. The structure of this guide follows a similar pattern for each of the topics and includes a definition, a selection of (some) appropriate representations, possible misconceptions, and how to correct them. Each of the sections are accompanied by explanations and worked examples; however, feel free to customise these examples to suit your learning context. We hope this guide is useful in supporting your teaching of place value.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-12-18
DOI
https://doi.org/10.5281/zenodo.14512290
Primary Topic
Cognitive and developmental aspects of mathematical skills
Type
article
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article

Teacher's Guide for Core Place Value Concepts: Teaching Strategies and Recommended Resources

Zenodo (CERN European Organization for Nuclear Research)
Cognitive and developmental aspects of mathematical skills
article

Teacher's Guide for Core Place Value Concepts: Teaching Strategies and Recommended Resources

article en

Abstract

Introduction Alongside the cardinal concept of numbers, and the part-whole concept, the concept of place value is recognised as a critical component in the development of number understanding for children. Our number system is based on five principles: the principle of bundling and unbundling; the decimal system; the principle of place value; the multiplicative principle; and the additive principle. Teachers require a complete understanding of the concept of place value, and how to teach the concept, as well as appropriate working materials (e.g., MABs, place value charts, place value apps) to assist children in developing a robust understanding of place value. Although the five principles apply regardless of the base being used, in this guide we will only refer to work with students using Base Ten. The structure of this guide follows a similar pattern for each of the topics and includes a definition, a selection of (some) appropriate representations, possible misconceptions, and how to correct them. Each of the sections are accompanied by explanations and worked examples; however, feel free to customise these examples to suit your learning context. We hope this guide is useful in supporting your teaching of place value.

Zenodo (CERN European Organization for Nuclear Research)
University of Potsdam (DE), Rhodes University (ZA), University of Education Schwaebisch Gmuend (DE), University of Waikato (NZ)
Quality Education
Openalex Percentile: Top 68%
Cognitive and developmental aspects of mathematical skills
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Teacher's Guide for Core Place Value Concepts: Teaching Strategies and Recommended Resources · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS