In this article the authors overview how the recently revised (version 9) Australian Curriculum (Australian Curriculum Assessment and Reporting Authority, 2022) and student difficulties with fractions relate to five developmental Fraction Schemes developed from multiple research projects in the literature. The article shares research findings from…

Assessment is a key lever for educational improvement. Assessments can be used to monitor, signal, and influence science teaching and learning -- provided that they are of high quality, reflect the rigor and intent of academic standards, and elicit meaningful student performances. Since the release of "A Framework for K-12 Science…

Sequencing language production activities based on the inherent cognitive load of each activity type can improve student performance and self-efficacy on high cognitive load language tasks like conversational speech (either face-to-face or via video chat). This ordering according to cognitive difficulty can scaffold learners in their development…

This paper outlines a seven-step process for developing problem-solving tasks informed by cognitive load theory. Through an example of a task developed for Year 2 students, we show how this approach can be used to produce challenging mathematical tasks that aim to optimise cognitive load for each student.

The authors who are mathematics teacher educators, have found that classifying, composing, and transforming shapes (in particular, rotations and reflections) are areas of difficulty for adults as well as for children. However, these are also some of the most important geometric ideas. They are fundamental topics in the K-8 Geometry and Measurement…

"Reciprocal tutoring," as reported in "Exploring the design of computer supports for reciprocal tutoring" (Chan and Chou 1997), has extended the meaning and scope of "intelligent tutoring" originally implemented in stand alone computers. This research is a follow-up to our studies on a "learning companion…

In this paper, an example is offered of a problem-solving task for senior secondary school students which was given in the context of a story. As the story unfolds, the task requires progressively more complex forms of linear programming to be applied. Coding in MATLAB is used throughout the task in such a way that it supports the increasing…

The Encouraging Persistence Maintaining Challenge (EMPC) Project has been working with secondary teachers in Melbourne as they seek to build persistence in students, during work on challenging mathematics tasks. The authors have developed sequences of tasks in various topic areas for Years 7 and 8, which require students to connect different…

The Common Core State Standards represent the first standards document to address whether students are able to read progressively more complex texts as they progress across the grades. This article gives an overview of the three components of the model of text complexity that were identified in Appendix A of the Standards and also were the basis…

With careful consideration given to task selection, students can construct their own solution strategies to solve complex proportional reasoning tasks while the teacher's instructional goals are still met. Several aspects of the tasks should be considered including their numerical structure, context, difficulty level, and the strategies they are…

The ranking of Wechsler subtests in terms of their "g" loadings is equivalent to ranking them in terms of the cognitive complexity of the tasks measured. Lower performing groups do not always fall behind higher performing groups the more complex the task. But that is the general rule, no matter whether the cause of the lower performance…

In this paper we describe a taxonomy of task demands which distinguishes between Task Complexity, Task Condition and Task Difficulty. We then describe three theoretical claims and predictions of the Cognition Hypothesis (Robinson 2001, 2003b, 2005a) concerning the effects of task complexity on: (a) language production; (b) interaction and uptake…

In this article, we present an approach to the automatic correction of preposition errors in L2 English. Our system, based on a maximum entropy classifier, achieves average precision of 42% and recall of 35% on this task. The discussion of results obtained on correct and incorrect data aims to establish what characteristics of L2 writing prove…

Describes knowledge mapping, a tool developed to increase the objectivity and accuracy of task difficulty ratings for job design. Application in a semiconductor manufacturing environment is discussed, including identifying prerequisite knowledge for a given task; establishing training development priorities; defining knowledge levels; identifying…

Describes a framework for examining the effects of the cognitive complexity of tasks on language production and learner perceptions of task difficulty, and for motivating sequencing decisions in task-based syllabuses. Results of a study of the relationship between task complexity, difficulty and production show that increasing the cognitive…