The activities suggested in this article are intended for use with lower secondary school students. The "Australian Curriculum: Mathematics" states that students in lower secondary school should "investigate the relationship between features of circles such as circumference, area, radius and diameter" and "use formulas to…

In this inquiry-based project, student-generated questions became the basis for student-directed individual and group projects that provided practice with problem solving, critical thinking, and research skills while digging deeper into the Earth science curriculum. The author used her students' high-level questions to provide relevance,…

What is the role of patterns in developing algebraic reasoning? This important question deserves thoughtful attention. In response, this article examines some differing views of algebraic reasoning, discusses a controversy regarding patterns, and describes how three types of patterns--in contextual problems, in growing geometric figures, and in…

Self-talk has been recognised as a tool used by children to regulate their thinking and behaviour. To support children's use of self-regulatory verbal strategies, educators need to understand the context, content and dynamics of children's self-talk. While a significant amount of empirical research had been carried out on self-talk, most was…

A cognitive model of how teachers plan instruction was validated in laboratory settings but remained to be tested empirically in authentic situations. The objective of this work is to describe and compare pedagogical reasoning in laboratory and authentic contexts and across expertise levels. The "state-driven hypothesis" and the…

In this paper, I report on preservice teachers' reflections and perceptions on their problem-solving process in a technological context. The purpose of the study was to investigate how preservice teachers experience working individually in a dynamic geometry environment and how these experiences affect their own mathematical activity when…

Adaptive tools and techniques for lecture instruction were developed for a blind student in a nonmajors college chemistry course. These adaptive instructional aids assisted the student in writing and balancing chemical reactions, calculating unit conversions and concentrations, drawing Lewis dot structures, understanding structural representations…

The purpose of the study was to identify effective pedagogical strategies to increase 4th grade students' mathematics problem-solving skills. Numerous researchers have looked at mathematics problem solving; however, there is a scarcity of data relating to 4th grade mathematics problem solving proficiency. Fourth grade students at the…

The current study examined the application of implementation adherence monitoring and group feedback procedures with teachers implementing the Leveled Literacy Intervention (LLI; Fountas & Pinnell, 2008a). Using a repeated measures design across time, changes in implementation adherence levels were examined as teachers participated in…

The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at…

This conceptual paper aims to clarify the theoretical underpinnings of game based learning (GBL) and learning with digital learning games (DLGs). To do so, it analyses learning of game related skills and contents, which occurs constantly during playing conventional entertainment games, from three perspectives: learning theory, emotion theory, and…

The development of generic capabilities or graduate attributes in communication, teamwork, critical analysis of information, problem solving and ethical practice is widely recognised as a desired outcome of higher education. This emphasis on generic capabilities has emerged despite ongoing debates about the concept and development of such…

Within an RtI problem-solving context, assessment and decision making generally center around the tasks of problem identification, problem analysis, progress monitoring, and program evaluation. We use this framework to discuss the current state of the literature regarding curriculum based measurement, its technical properties, and its utility for…

Trends in the agriculture industry require students to have the ability to solve problems associated with scientific content. Agricultural laboratories are considered a main component of secondary agricultural education, and are well suited to provide students with opportunities to develop problem-solving skills through experiential learning. This…

This essay is about how to learn to organise to tackle the intractable and most difficult problems of organisations and societies. It opens with a discussion of the nature of such problems, which are the spur for Revans' action learning and the focus of some recent thinking on leadership. Action learning works on the basis of peer relationships…