Artificial intelligence (AI) is transforming multiple facets of the competitive business world and education. Despite this, the full potential of AI applications within education remains unclear because of the lack of a comprehensive framework on how to use AI in developing assessments across various academic disciplines. While incorporating AI…

In Australia, one of the key findings of the Teacher Education Ministerial Advisory Group was that not all graduating pre-service teachers possess adequate pedagogical content knowledge (PCK) to teach effectively. The concern is that higher education providers working with pre-service teachers are using pedagogical practices and assessments which…

This professional practice paper is underpinned philosophically by the indisputable centrality of proof to the discipline of mathematics. Proof offers students the opportunity to deepen their own understanding of mathematical ideas, to construct and defend logical arguments, and to think critically about the veracity of mathematical statements.…

Two important pedagogical techniques for developing deeper mathematical understanding are to prove a given theorem in different ways and to unify the proofs of different theorems. Trigonometric angle sum and difference identities are introduced in Unit 2 of Specialist Mathematics in the Australian Curriculum (Australian Curriculum, Assessment and…

The most recent review of Initial Teacher Education (ITE) in Australia titled Action Now: Classroom Ready Teachers (Craven et al. 2014) heralded the introduction of Teacher Performance Assessments (TPAs) as summative assessments of graduate profession 'readiness'. The conceptualization, research-informed design and implementation of authentic…

According to the latest news about declining standards in mathematics learning in Australia, boys, and girls, in particular, need to be more engaged in mathematics learning. Only 30% of mathematics students at university level in Australia are female. Proofs are made up of words and mathematical symbols. One can assume the words would assist…

The opinion of the mathematician Christian Goldbach, stated in correspondence with Euler in 1742, that every even number greater than 2 can be expressed as the sum of two primes, seems to be true in the sense that no one has ever found a counterexample. Yet, it has resisted all attempts to establish it as a theorem. The discussion in this article…

Australia is the only country in the world that regularly collects comprehensive information about the holistic development of children entering their first year of school. Known as the Australian Early Development Census (AEDC), the data gathered from this work guides national and state policy. These types of measurements are useful for the…

This paper aims to develop a valid method to assess the key competencies of the exercise physiology profession acquired through work-integrated learning (WIL). In order to develop a competency-based assessment, the key professional tasks needed to be identified and the test designed so students' competency in different tasks and settings could be…

This paper presents a method for equating writing assessments using pairwise comparisons which does not depend upon conventional common-person or common-item equating designs. Pairwise comparisons have been successfully applied in the assessment of open-ended tasks in English and other areas such as visual art and philosophy. In this paper,…

The C-Test as a tool for assessing language competence has been in existence for nearly 40 years, having been designed by Professors Klein-Braley and Raatz for implementation in German and English. Much research has been conducted over the ensuing years, particularly in regards to reliability and construct validity, for which it is reported to…

The notion of periodicity stands for regular recurrence of phenomena in a particular order in nature or in the actions of man, machine, etc. Many examples can be given from daily life featuring periodicity. Mathematically the meaning of periodicity is that some value recurs with a constant frequency. Students learn about the periodicity of the…

Fields from political science to critical education policy studies have long explored power relations in policy processes, showing who influences policy agendas, policy creation, and policy implementation. Yet showing particular actors' influence on specific points in a policy text remains a methodological challenge. This article presents a…

After passage of the Every Student Succeeds Act (ESSA) in 2015, states assumed greater responsibility for designing their own accountability and assessment systems. ESSA requires states to measure "higher order thinking skills and understanding" and encourages the use of open-ended performance assessments, which are essential for…

As we move into the 21st century, educationalists are exploring the myriad of possibilities associated with Computer Based Assessment (CBA). At first glance this mode of assessment seems to provide many exciting opportunities in the mathematics domain, yet one must question the validity of CBA and whether our school systems, students and teachers…