The mathematical proficiencies in the "Australian Curriculum: Mathematics" of understanding, problem solving, reasoning, and fluency are intended to be entwined actions that work together to build generalised understandings of mathematical concepts. A content analysis identifying the incidence of key proficiency terms (KPTs) embedded in…

This qualitative case study addresses the need for pedagogical approaches to working with open educational resources (OER). Drawing on a mix of historical thinking heuristics and case analysis approaches, a blended pedagogical strategy and primary source database were designed to build student understanding of historical records with transfer of…

There is a need to teach the pivotal skill of mathematical problem solving to students with severe disabilities, moving beyond basic skills like computation to higher level thinking skills. Problem solving is emphasized as a Standard for Mathematical Practice in the Common Core State Standards across grade levels. This article describes a…

The article combines a theoretical approach to structuring knowledge that is based on the integrated use of fuzzy semantic network theory predicates, Boolean functions, theory of complexity of network structures and some practical aspects to be considered in the distance learning at the university. The paper proposes a methodological approach that…

We propose two contrasting types of student decision-making based on social and cognitive psychology models of separate mental processes for problem solving. Informal decision-making uses intuitive reasoning and is subject to cognitive biases, whereas formal decision-making uses effortful, logical reasoning. We explored indicators of students'…

This article describes the theory, key components, and empirical support for the Classroom Strategies Coaching (CSC) Model, a data-driven coaching approach that systematically integrates data from multiple observations to identify teacher practice needs and goals, design practice plans, and evaluate progress towards goals. The primary aim of the…

The success of online learning depends on interaction, pedagogical approaches and active participation. Garrison, Anderson and Archer (2000) introduced interactive learning through the community of inquiry model (COI). This study used the lens of social, cognitive and teaching presence (Garrison, Anderson & Archer, 2009) to examine the…

At the end of primary school all children more of less know what a percentage is, but yet they often struggle with percentage problems. This article describes a study in which students of 13 and 14 years old were given a written test with percentage problems and a week later were interviewed about the way they solved some of these problems. In a…

Our research programme, a part of which is presented in this paper, looked at four year old children's ability to use manipulatives in the construction of cube models. We looked at how pre-school children managed the creation of cube nets as a mathematical problem and whether graphical representations of solutions could become a useful tool in a…

New strategies can ignite teachers' imagination to create new lessons or adapt lessons created by others. In this article, the authors present the experience of an algebra teacher and his students solving linear and literal equations and explain how the use of ideas found in past NCTM journals helped bring this lesson to life. The…

This article explores the relative importance of different socio-demographic and practice-oriented factors that are related to proficiency in problem solving in technology-rich environments (PSTREs) and by extension may be related to complex problem solving (CPS). The empirical analysis focuses on the proficiency measurements of PSTRE made…

Across the mathematics curriculum there is a renewed emphasis on applications of mathematics and on mathematical modeling. Providing students with modeling experiences beyond the ordinary classroom setting remains a challenge, however. In this article, we describe the 24-hour Mathematical Modeling Challenge, an extracurricular event that exposes…

Action research is a systematic approach to investigation that enables people to find effective solutions to problems they confront in their everyday lives. A significant feature is that action research lays claim to the professional development in education. Action research as any systematic inquiry conducted by teachers, administrators, and…

Pupils' difficulties in solving word problems continue to attract attention: while researchers highlight the importance of relational reasoning and modelling, school curricula typically use short word problems to develop pupils' knowledge of arithmetic operations and calculation strategies. The Relational Paradigm attributes the leading role in…

School consultation is practiced in rapidly changing educational settings, including increasing student diversity and the implementation of a multitiered system of supports. This changing context may shift the boundaries of what it means to consult and how best to achieve change through consultation. The purpose of this study was to explore how…