Dit is een wat vreemd en eigenlijk heel breed thema, dat dus overloopt in allerlei andere nauw of deeld verwante thema’s.
Jody Sherman & Jeffrey Bisanz (2009). Equivalence in Symbolic and Nonsymbolic Contexts: Benefits of Solving Problems With Manipulatives Journal of Educational Psychology, 101, 88-100. abstract
Martha Carr & Natalia Alexeev (2011). Fluency, accuracy, and gender predict developmental trajectories of arithmetic strategies. Journal of Educational Psychology, 103, 617-631.
Anna Sfard & Kay McClain (2002). Analyzing tools: Perspectives on the role of designed artifacts in mathematics learning. The Journal of the Learning Sciences, 11, 153-161. abstract
Kay McClain (2002). Guest Editor's Introduction: Appendix: The Object and the Context: What Our Data Are and Where They Come From. The Journal of the Learning Sciences, 11, 163-185. abstract
Analúcia D. Schliemann (2002). Representational tools and mathematical understanding. The Journal of the Learning Sciences, 11, 301-317. abstract
Anna Sfard (2002). The interplay of intimations and implementations: Generating new discourse with new symbolic tools. The Journal of the Learning Sciences, 11, 319-357. abstract
Bert van Oers (2002). Fruits of polyphony: A commentary on a multiperspective analysis of mathematical discourse. The Journal of the Learning Sciences, 11, 359-363. abstract
Mitchel Resnick, Fred Martin, Robert Berg, Rick Borovoy, Vanessa Colella, Kwin Kramer, Brian Silverman (1998). Digital Manipulatives: New Toys to Think With. To be published in the proceedings of the CHI '98 conference. (MIT Media Laboratory) html
Nishida, T. K. (2008). The use of manipu latives to support children’s acqui sition of abstract math concepts. Unpublished thesis, University of Virginia, Charlottesville, VA. [nog niet gevonden; genoemd in Siegler e.a. 2010]
Wierts, Johanna Wierts van Coehoorn-Stout (1907). De kindertuin. Handleiding bij de ontwikkeling van het kind van 3 tot 7 jaar, volgens de methode van Fröbel. Uitgave van H. Wierts van Coehoorn. eerste editie
Jonathan R. Rein & Arthur B. Markman (2010). Assessing the concreteness of relational representation. Journal of Experimental Psychology: Learning, Memory, and Cognition, 36, 1452-1465. pdf
http://www.mathplayground.com/
http://nlvm.usu.edu/en/nav/vlibrary.html
http://nlvm.usu.edu/en/nav/grade_g_2.html
http://www.ct4me.net/math_manipulatives.htm
http://www.glencoe.com/sites/common_assets/mathematics/ebook_assets/vmf/VMF-Interface.html
http://www.benwilbrink.nl/projecten/manipulatives.htm