Studying culture-cognition relations in collective practices of daily life: a research framework / El estudio de las relaciones cultura-cognición en las prácticas colectivas cotidianas: un modelo de investigación

This article sketches a framework for the study and analysis of culture-cognition relations that I present in my recent book, Cultural Development of Mathematical Ideas: Papua New Guinea Studies. Taking an historical approach, I focus on the reproduction and alteration of representational forms for number and the functions that representational forms serve in collective practices in and out of school. My key argument is that, in the context of their goal-directed communicative activities in collective practices in daily life, people unwittingly reproduce and alter representational forms and the functions that these forms serve. The process leads to continuities and discontinuities in form-function relations in communities over historical time. To provide evidence for this process and its role in the cultural development of ideas, I report selected findings from research conducted in 1978, 1980 and 2001 in Oksapmin communities; I focus on historical shifts in the forms and functions of the Oksapmin body part counting system over time. I then update that body of research with a sketch of a recent 2014 follow-up study. I close with reflections on the utility of my framework for the study of culture-cognition relations in other communities and on cognitive domains other than mathematics.