This collection brings together classic, previously published articles and new research to present the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathematics education. The contributors identify several of the field's broad themes--reconsidering what counts as mathematical knowledge, considering interactions between culture and mathematical knowledge, and uncovering hidden and distorted histories of mathematical knowledge. The book offers a diversity of ethnomathematics perspectives that develop both theoretical...

Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools and environments necessary to make connections, activities to extend and generalize combinatoric learning, and even explore implications of this learning on the undergraduate level.

This volume underscores the power of...

Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools and environments necessary to make connections, activities to extend and generalize combinatoric learning, and even explore implications of this learning on the undergraduate level.This volume underscores the power of attending to basic ideas...

Using long-term data gathered on a group of learners focusing their work on a set of combinatorics tasks, this book offers valuable insights into a number of aspects of combinatorics, such as the foundations of proof-building, right up to undergraduate level.