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Book/Printed Material Teaching and Learning About Whole Numbers in Primary School

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Title

  • Teaching and Learning About Whole Numbers in Primary School

Summary

  • This book offers a theory for the analysis of how children learn and are taught about whole numbers. Two meanings of numbers are distinguished - the analytical meaning, defined by the number system, and the representational meaning, identified by the use of numbers as conventional signs that stand for quantities. This framework makes it possible to compare different approaches to making numbers meaningful in the classroom and contrast the outcomes of these diverse aspects of teaching. The book identifies themes and trends in empirical research on the teaching and learning of whole numbers since the launch of the major journals in mathematics education research in the 1970s. It documents a shift in focus in the teaching of arithmetic from research about teaching written algorithms to teaching arithmetic in ways that result in flexible approaches to calculation. The analysis of studies on quantitative reasoning reveals classifications of problem types that are related to different cognitive demands and rates of success in both additive and multiplicative reasoning. Three different approaches to quantitative reasoning education illustrate current thinking on teaching problem solving: teaching reasoning before arithmetic, schema-based instruction, and the use of pre-designed diagrams. The book also includes a summary of contemporary approaches to the description of the knowledge of numbers and arithmetic that teachers need to be effective teachers of these aspects of mathematics in primary school. The concluding section includes a brief summary of the major themes addressed and the challenges for the future. The new theoretical framework presented offers researchers in mathematics education novel insights into the differences between empirical studies in this domain. At the same time the description of the two meanings of numbers helps teachers distinguish between the different aims of teaching about numbers supported by diverse methods used in primary school. The framework is a valuable tool for comparing the different methods and identifying the various assumptions about teaching and learning.

Names

  • Nunes, Terezinha, author
  • Dorneles, Beatriz Vargas, author
  • Lin, Pi-Jen, author
  • Rathgeb-Schnierer, Elisabeth, author

Created / Published

  • Cham : Springer International Publishing : Imprint: Springer, 2016.

Contents

  • Main Topics You Can Find in this "ICME-13 Topical Survey" -- Introduction -- Survey on the State-of-the-art -- Summary and Looking Ahead.

Headings

  • -  Instruction
  • -  Learning
  • -  Mathematics--Study and teaching
  • -  Teaching
  • -  Mathematics Education
  • -  Learning & Instruction
  • -  Teaching and Teacher Education

Notes

  • -  Description based on publisher-supplied MARC data.
  • -  Education (R0) (SpringerNature-43721)
  • -  Education (SpringerNature-41171)

Medium

  • 1 online resource (IX, 50 pages 5 illustrations)

Digital Id

Library of Congress Control Number

  • 2019760723

Rights Advisory

Access Advisory

  • Unrestricted online access

Online Format

  • image
  • epub

Additional Metadata Formats

Rights & Access

The books in this collection are licensed under open access licenses allowing for the reuse and distribution of each book following the terms described in each license. Researchers should consult the Rights Advisory statement for each title and the accompanying license details for information about rights and permissions associated with each of the licenses.

More about Copyright and other Restrictions.

Cite This Item

Citations are generated automatically from bibliographic data as a convenience, and may not be complete or accurate.

Chicago citation style:

Nunes, Terezinha, Author, Beatriz Vargas Dorneles, Pi-Jen Lin, and Elisabeth Rathgeb-Schnierer. Teaching and Learning About Whole Numbers in Primary School. Cham: Springer International Publishing: Imprint: Springer, 2016. Image. https://aj.sunback.homes/item/2019760723/.

APA citation style:

Nunes, T., Dorneles, B. V., Lin, P. & Rathgeb-Schnierer, E. (2016) Teaching and Learning About Whole Numbers in Primary School. Cham: Springer International Publishing: Imprint: Springer. [Image] Retrieved from the Library of Congress, https://aj.sunback.homes/item/2019760723/.

MLA citation style:

Nunes, Terezinha, Author, et al. Teaching and Learning About Whole Numbers in Primary School. Cham: Springer International Publishing: Imprint: Springer, 2016. Image. Retrieved from the Library of Congress, <aj.sunback.homes/item/2019760723/>.