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Articles placed on this page are for the use of the research group.  They are selected on academic merit in the context of their usefulness and relevance to the research agenda. The views expressed in the articles are not necessarly that of the study group. Reference will be made to the source of the articles and care is taken not to infringe on the copyrights of any author. Authors and/or publishers should contact the webmaster at webmaster@nammaths.com to have any articles removed.  Care has been taken to only upload articles that are in the public domain such as Google.  In the event of sourcing an article from a subscribed journal, only the URL of this source is uploaded.

Visiting authors to this site are welcome to submit their articles for consideration to be included for free publication on this website.

 

 

Visualisation as an epistemological learning tool in mathematics Presmeg 2014

Article by Norma Presmeg, 2014

 

Mental Mathematics by Chris Bills

Visualisation as an Epistomological Learning Tool

ZDM Volume 46 Issue 1, February 2014

http://0-link.springer.com.wam.seals.ac.za/journal/11858/46/1/page/1

Adding it up

Kilpatrick, J., Swafford, J. & Findell, B. (2001). Adding it up: helping children learn  mathematics. Washington, DC: National Academy Press

Free download at

https://www.nap.edu/search/?term=aDDING+IT+UP

A review of visualisation research done in 1988

Bishop, A.J. (1988). A review of research on visualisation in mathematics education.

In the Proceedings of PME in Hungary in 1988

http://files.eric.ed.gov/fulltext/ED411128.pdf#page=188

Norma Presmeg's response to Alan Bishop's 1988 paper

http://www.kaputcenter.umassd.edu/downloads/symcog/bib/pmeVisualizationFinalAPA.pdf

Visualisation and critical thinking

Makina, A. (2010). The role of critical thinking in mathematics. Perspevtives in Education, 28(1), 24 - 33.

 

http://0-journals.co.za.wam.seals.ac.za/docserver/fulltext/persed/28/1/persed_v28_n1_a4.pdf?expires=1495096282&id=id&accname=57780&checksum=0C45C255717D52194C09EC9219A70AEA

Visualisation chapters in the book: Critical Issues in Mathematics Education

Namibia Counts. Stories of Mathematics Education Research in Namibia.

This book, edited by Schäfer, M., Samson, D. and Brown, B. in 2014, is a collection of chapters reporting on Master's research done in Mathematics Education in Namibia.

Learning theories

Reflections on theories of learning.

Sriraman B. and English, L. (2010). Theories  of Mathematics Education. Seeking New Frontiers.

Heidelberg Dordrecht London New York. Springer.

https://scholar.google.co.za/scholar?hl=en&q=enactivism+learning+theory&as_sdt=1%2C5&as_sdtp=&oq=

Philosophy of Mathematics Education Journal