Students at the elementary level should have opportunities to critique the world through mathematics and to see themselves as capable doers of mathematics. The lesson described in this article prompted students to consider how to use mathematics to organize an emergency evacuation. In this article, the authors show how small changes to a task…

In this paper duality between real world phenomenon and mathematics will be discussed. This duality exists for many years which considerably remarked in the history of mathematics curriculum. One of the good potential for filling the gap between real world phenomenon and mathematical ideas would be modelling tasks which require performing the…

In response to national and state trends promoting inquiry-based social studies over the last decade, social studies teacher educators at the University of Kentucky revamped their pre-service program to create alignment around the key inquiry concepts of questions, tasks, and sources. Part of the program revision involved the creation of a new…

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…

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…

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.

How can geometry teachers design great tasks that allow students to make connections among interrelated concepts and expand their geometric reasoning skills? Many curricular materials provide problems for students to apply a single geometric concept. However, these problems do not always promote reasoning opportunities for students, because…

The use of an investment portfolio simulation as an assessment task is intended to reinforce learning by involving students in practical application of theoretical principles in a real-time actual financial market. Simulation as a teaching pedagogy promotes individual involvement and provides students with a deeper understanding of the issues, and…

As one of the two "educational special zones" in China, Shanghai is launching a new round of curriculum reforms centring on "lide shuren," viz. "fostering integrity and promoting rounded development of people" (Hu 2012). Apart from piloting a new plan for "Gaokao," the national college entrance examination…

Assessment is a critical part of teaching and learning so it is important that students are encouraged to engage positively with it. The Institution-Wide Language Programme (IWLP) at the University of Leeds redesigned its model of assessment for modules at upper-intermediate and advanced levels, broadly equivalent to the Common European Framework…

Increasing project complexity and a high level of specialization in the language industry have resulted in a demand for translation professionals with sophisticated technical skills. This has made computer-assisted translation (CAT) tools indispensable for translators in order to meet project requirements. With a rapidly changing industry…

Making sense of mathematical concepts and solving mathematical problems may demand different forms of reasoning. These could be either domain-based, such as algebraic, geometric or statistical reasoning, while others are more general such as inductive/deductive reasoning. This article aims at giving visibility to a particular form of reasoning…

The "Riga Conclusions" of the European Ministries of Education of 22 June 2015 for the orientation of vocational education and training in Europe are promoting work-based learning as one of five "medium-term deliverables" for the next five years. But: How should and can work-based teaching and learning be designed? Our approach…

As someone who values collaboration with her students, supports students' ownership of their own learning, and looks for opportunities to increase their critical learning skills, Ce Rosenow finds many benefits to using task-specific rubrics that evolve from class discussion. She explains that this process is ideal for honors students because of…

In this article, the authors provide an overview of engineering and the engineering design process, and describe the steps they took to develop a fifth grade-level, standards-based engineering design task titled "Getting the Dirt on Decomposition." Their main goal was to focus more on modeling the discrete steps they took to create and…