Author A. J. Hackenberg

Publications Found: 7 · Show All Abstracts

Hackenberg A. J. (2010) Mathematical caring relations in action. Journal for Research in Mathematics Education 41(3): 236–273.
Hackenberg A. J. (2010) Students’ reasoning with reversible multiplicative relationships. Cognition and Instruction 28(4): 1–50.
Hackenberg A. J. & Lawler B. R. (2002) An ethics of liberation emerging from a radical constructivist foundation. In: Valero P. & Skovsmose O. (eds.) Proceedings of the 3rd International MES Conference. Centre for Research in Learning Mathematics, Copenhagen: 1–13. Fulltext at
Hackenberg A. J. & Sevinc S. (2022) Middle school students’ construction of reciprocal reasoning with unknowns. The Journal of Mathematical Behavior 65: 100929.
Hackenberg A. J. & Tillema E. S. (2009) Students’ whole number multiplicative concepts: A critical constructive resource for fraction composition schemes. Journal of Mathematical Behavior 28: 1–18.
Tillema E. S. & Hackenberg A. J. (2011) Developing systems of notation as a trace of reasoning. For the Learning of Mathematics 31(3): 29–35.
Ulrich C., Tillema E. S., Hackenberg A. J. & Norton A. (2014) Constructivist Model Building: Empirical Examples From Mathematics Education. Constructivist Foundations 9(3): 328–339. Fulltext at
Export result page as: CF Format · APA · BibTex · EndNote · Harvard · MLA · Nature · RIS · Science