Introducing new concepts to learners in an order of increasing complexity appears to be beneficial for learning, but typically introduction of concepts does not always adhere to this principle. We examined whether introducing new algebra concepts in a contrasted manner or in an order of increasing complexity instead of a different more typical…

The aim of this paper is to examine the effects of sequencing instructional materials and learners' prior knowledge on learning ESL (English as a second language) through an online learning course. 121 fifth-grade students from an elementary school in Korea participated in the study. Each participant was allocated to one cell of a 2 × 2…

The findings discussed here are a small part of a larger study entitled, "Encouraging Persistence Maintaining Challenge". The paper reports five teachers' observations of the implementation of a task which was new to them. The teachers were asked to identify aspects of the task which they perceived as challenging for the Year 6 students.…