Amy Hackenberg

Amy Hackenberg

Associate Professor, Mathematics Education

Education

Representative publications

“Approximate” multiplicative relationships between quantitative unknowns (2017)
Amy Hackenberg, Robin Jones, Ayfer Eker, Mark Creager
The Journal of Mathematical Behavior , 48 38-61

Students’ distributive reasoning with fractions and unknowns (2016)
Amy Hackenberg, Mi Yeon Lee
Educational Studies in Mathematics, 93 (2), 245-263

Relationships Between Students' Fractional Knowledge and Equation Writing (2015)
Amy Hackenberg, Mi Yeon Lee
Journal for Research in Mathematics Education, 46 (2),

Constructivist Model Building: Empirical Examples From Mathematics Education (2014)
Erik Tillema, Amy Hackenberg, Anderson Norton
Constructivist Foundations, 9 (3), 328-339

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

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

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,

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,

Mathematical caring relations: A challenging case (2010)
Amy Hackenberg
Mathematics Education Research Journal, 22 (3), 57-83

Students’ Reasoning With Reversible Multiplicative Relationships (2010)
Amy Hackenberg
Cognition and Instruction, 28 (4), 383-432

Continuing Research on Students’ Fraction Schemes (2010)
Anderson Norton, Amy Hackenberg
, 341-352

Mathematical Caring Relations in Action (2010)
Amy Hackenberg
Journal for Research in Mathematics Education, 41 (3), 236-273

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