## Amy Hackenberg

Associate Professor, Mathematics Education

Associate Professor, Mathematics Education

- ahackenb@indiana.edu
- (812) 856-8223
- Office Hours
- Home Website

**“Approximate” multiplicative relationships between quantitative unknowns** (2017)

Amy Hackenberg, Robin Jones, Ayfer Eker, Mark Creager

*The Journal of Mathematical Behavior , * 48 38-61

- Abstract

**Students’ distributive reasoning with fractions and unknowns ** (2016)

Amy Hackenberg, Mi Yeon Lee

*Educational Studies in Mathematics, * 93 (2), 245-263

- Abstract

**Relationships Between Students' Fractional Knowledge and Equation Writing** (2015)

Amy Hackenberg, Mi Yeon Lee

*Journal for Research in Mathematics Education, * 46 (2),

- Abstract

**Constructivist Model Building: Empirical Examples From Mathematics Education** (2014)

Erik Tillema, Amy Hackenberg, Anderson Norton

*Constructivist Foundations, * 9 (3), 328-339

- Abstract

**Authors' Response: Interaction: A Core Hypothesis of Radical Constructivist Epistemology** (2014)

Erik Tillema, Amy Hackenberg, Catherine Ulrich, Anderson Norton

*Constructivist Foundations, * 9 (3), 354-359

**The fractional knowledge and algebraic reasoning of students with the first multiplicative concept** (2013)

Amy Hackenberg

*The Journal of Mathematical Behavior , * 32 (3), 538-563

- Abstract

**RELATIONSHIPS BETWEEN FRACTIONAL KNOWLEDGE AND ALGEBRAIC REASONING: THE CASE OF WILLA** (2013)

Mi Yeon Lee, Amy Hackenberg

*International Journal of Science and Mathematics Education, * 12 (4), 975-1000

- Abstract

**PRE-FRACTIONAL MIDDLE SCHOOL STUDENTS' ALGEBRAIC REASONING** (2012)

Amy Hackenberg, Mi Yeon Lee

*The 34th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education, *

- Abstract

**Developing systems of notation as a trace of reasoning** (2011)

Erik Tillema, Amy Hackenberg

*For the Learning of Mathematics, * 31 (3), 29-35

**STUDENTS' DISTRIBUTIVE REASONING WITH FRACTIONS AND UNKNOWNS** (2011)

Amy Hackenberg, Mi Yeon Lee

*Conference: the 33rd Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education, *

- Abstract

**Mathematical caring relations: A challenging case** (2010)

Amy Hackenberg

*Mathematics Education Research Journal, * 22 (3), 57-83

- Abstract

**Students’ Reasoning With Reversible Multiplicative Relationships** (2010)

Amy Hackenberg

*Cognition and Instruction, * 28 (4), 383-432

- Abstract

**Continuing Research on Students’ Fraction Schemes** (2010)

Anderson Norton, Amy Hackenberg

* , * 341-352

- Abstract

**Mathematical Caring Relations in Action** (2010)

Amy Hackenberg

*Journal for Research in Mathematics Education, * 41 (3), 236-273

- Abstract

**Students’ whole number multiplicative concepts: A critical constructive resource for fraction composition schemes** (2009)

Amy Hackenberg, Erik Tillema

*The Journal of Mathematical Behavior, * 28 (1), 1-18

- Abstract

- College of Arts & Sciences
- Cognitive Science Program