One goal of inquiry-oriented instruction is student engagement with others' mathematical ideas. This paper analyzes a relatively short episode in which students engaged with others' ideas; the instructor facilitated engagement in order to support students in making mathematical progress. Students expressed some bafflement pertaining to the…

As mathematics educators we want our students to develop a natural curiosity that will lead them on the path toward solving problems in a changing world, in fields that perhaps do not even exist today. Here we present student projects, adaptable for several mid- and upper-level mathematics courses, that require students to formulate their own…

Chris Brough and Nigel Calder share two scenarios in which students co-constructed their curriculum through generating their own problem solving and mathematical investigations. This article is a valuable exploration of the benefits of teachers working in partnership with their students.

This paper analyses changes in the quality of a mathematical task as a result of its reformulation from a proof mode into an inquiry-based mode. The task is borrowed from the reformulation assignment given to the in-service teachers. The analysis of the task is based on implementation of the task with pre-service teachers. Through the lens of the…

This is the final evaluation report of the On Growth and Form (OGAF): Learning Concepts of Probability and Fractals by Doing Science project that aimed at engaging high school students in hands-on science activities, experiments, and computer simulations that use probability and fractal geometry to model ragged structures in the real world.…