### Abstract

**Background:**

Learning to solve more challenging mathematics problems using multiple strategies has been promoted by research and is a feature of numerous curricula. Yet teachers have been found to be reluctant to incorporate these tasks into their lessons predicting resistance from students.**Material and methods:**

This study examined 87 senior secondary students’ reactions to a challenging quadratics task as part of their teachers’ participation in a design-based research project. It sought insights into students’ own perspectives on challenge and multiple strategies in mathematics teaching and learning, with the intent of understanding more about the cognitive, affective, and motivational aspects of this teaching approach.**Results:**

In responding to open-ended prompts, the students reported diverse but generally positive reactions related to their interest in the task and its relevance for their learning. Two thirds reported that they liked learning strategies from peers, and two thirds liked learning multiple strategies from their teacher.**Conclusions:**

Implications for considering secondary students’ preferences for learning, engagement, and motivation in mathematics lessons are discussed.

### License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, 2016, Volume 12, Issue 8, 2061-2083

https://doi.org/10.12973/eurasia.2016.1260a

Publication date: 02 Jul 2016

Article Views: 1475

Article Downloads: 784

Open Access References How to cite this article