Hackenberg A. J. (2010) Mathematical caring relations: A challenging case. Mathematics Education Research Journal 22(3): 57–83.
Hackenberg A. J.
(
2010)
Mathematical caring relations: A challenging case.
Mathematics Education Research Journal 22(3): 57–83.
Developed from Noddings’s (2002) care theory and von Glasersfeld’s (1995) constructivism, a mathematical caring relation (MCR) is a quality of interaction between a student and a teacher that conjoins affective and cognitive realms in the process of aiming for mathematical learning. In this paper I examine the challenge of establishing an MCR with one mathematically talented 11-year-old student, Deborah, during an 8-month constructivist teaching experiment. This publication is relevant for constructivist approaches because it develops a framework for student-teacher interaction based on constructivism.
Hunt J. & Tzur R. (2017) Where is difference? Processes of mathematical remediation through a constructivist lens. The Journal of Mathematical Behavior 48: 62–76.
Hunt J. & Tzur R.
(
2017)
Where is difference? Processes of mathematical remediation through a constructivist lens.
The Journal of Mathematical Behavior 48: 62–76.
In this study, we challenge the deficit perspective on mathematical knowing and learning for children labeled as LD, focusing on their struggles not as a within student attribute, but rather as within teacher-learner interactions. We present two cases of fifth-grade students labeled LD as they interacted with a researcher-teacher during two constructivist-oriented teaching experiments designed to foster a concept of unit fraction. Data analysis revealed three main types of interactions, and how they changed over time, which seemed to support the students’ learning: Assess, Cause and Effect Reflection, and Comparison/Prediction Reflection. We thus argue for an intervention in interaction that occurs in the instructional process for students with LD, which should replace attempts to “fix” ‘deficiencies’ that we claim to contribute to disabling such students.