The professional lexicons of middle school mathematics teachers in communities around the world were documented as part of The International Classroom Lexicon Project. This vocabulary captured teachers' naming of classroom pedagogical practice. Reported in this paper are attributes of the lexicons of teachers from Australia and Chile. A comparison…

Place value is one of the 'big ideas' in number and plays a critical role in helping students develop their number sense, problem solving and computation skills. Yet, the elegant simplicity of our place value system belies the abstract nature of the construct. This paper presents data from 606 Year 3-6 students (ages 8-12) from two metropolitan…

Learning objectives, especially those well defined by applying Bloom's taxonomy for Cognitive Objectives, have been widely recognized as important in various teaching and learning practices. However, many educators have difficulties developing learning objectives appropriate to the levels in Bloom's taxonomy, as they need to consider the…

In this paper, the probability content in senior secondary mathematics Victorian curriculum between 1978 and 2016 was classified and compared, by content, context, procedural complexity, the SOLO thinking frameworks and use of technology. While probability continues to form an important and increasing component of the curriculum, it has moved from…

Classifying educational forum posts is a longstanding task in the research of Learning Analytics and Educational Data Mining. Though this task has been tackled by applying both traditional Machine Learning (ML) approaches (e.g., Logistics Regression and Random Forest) and up-to-date Deep Learning (DL) approaches, there lacks a systematic…

In this paper, we report on the interim findings of a study that seeks to identify the characteristics of children's Critical Mathematical Thinking CMT. Characteristics of CMT were initially generated from a synthesis of relevant research literature and then validated using a case study methodology via trials in early childhood classrooms. This…

In an educational context, the accurate determination of each student's socioeconomic status (SES) is important for planning, reporting and general institutional research. This article describes a project undertaken to develop the means to derive a proxy measure of students' SES, based on home address location and Australian Bureau of Statistics…

The purpose of this paper is to describe the development of a framework to facilitate the selection and evaluation of picture books that may be useful in promoting and developing mathematical concepts in young children. Three types of mathematical picture books were initially recognised with intercoder reliability of 0.92. Seven categories were…

The MERGA website has a list of the titles of the last 10 years of Australasian mathematics education Masters and Doctoral theses, with linked abstracts. After a discussion about the socially-determined nature of document analysis, this paper reports the results of an interpretive document analysis of the web page and the pages of abstracts, with…

This paper reports on a joint proof of concept project undertaken by researchers from the Flinders University Artificial Intelligence Laboratory in partnership with information managers from the Education Network Australia (edna) team at Education Services Australia to address the question of whether artificial intelligence techniques could be…

The Plato Program is an innovative and dynamic subject that was introduced to explore "learning how to learn" in Year 7. In response to observations by staff that students lacked critical thinking and research skills, it has metamorphosed into a vehicle for the delivery of information literacy within the curriculum, with a particular…

Despite some inroads by the Library of Congress Classification and short-lived experimentation with Universal Decimal Classification and Bliss Classification, Dewey Decimal Classification, with its ability in recent editions to be hospitable to local needs, remains the most widely used classification system in Australia. Although supplemented at…

This paper concerns the construction of a bibliography of written materials about Aboriginal science and technology drawn from books, theses, dissertations, scientific and non-scientific journals, conference papers and newspapers etc: in fact, articles about the science and technology that relate in some way to Aborigines, from whatever source,…

Three studies were conducted to investigate reasons for the difficulties that children under 5 years of age experience with class inclusion tasks. The studies tested the claim that such tasks have a structural complexity that is beyond the children's processing ability. In experiment 1, class inclusion tasks were compared with other classification…

Results show that the drawings attributed to the Aboriginal "artist" produced more positive impressions and were rated more highly on the semantic differential. This research was presented at the Rocky Mountain Psychological Convention, Denver, Colorado, April, 1978. (Author)