Although students' invented strategies typically prove to be effective in the improvement of students' mathematical understanding, little is known about how preservice teachers interpret and respond to student-invented strategies on whole number multiplication. This study investigated the nature of 25 preservice teachers' interpretations of and…

The use of high-stakes assessment to measure students' mathematical performance has become commonplace in schools all over the world. Such assessment instruments provide national or international comparisons of student (and potentially teacher performance). Each form of assessment is specialised in nature and is characteristic of the culture and…

The study considers mathematical problem solving to be at the heart of mathematics teaching and learning, while mathematical challenge is a core element of any educational process. The study design addresses the complexity of teachers' knowledge. It is aimed at exploring the development of teachers' mathematical and pedagogical conceptions…

The purpose of this study is to contribute insights into how collaborative activity can help promote students' mathematical understanding. A group of six high school students (15- to 16-year olds) worked together on a challenging probability task as part of a larger, after-school, longitudinal study on students' development of mathematical ideas…

"Case Studies for Inclusive Schools, Third Edition" is a major revision that provides a stimulating format for understanding a variety of inclusion issues in the schools. The content focuses on problem solving from a collaborative perspective. Teacher education students and teaching professionals can use this excellent text to explore…

The purpose of this paper is to explore the effectiveness of Action Design Research (ADR), a combination of Action Research and Design Science Research, as a methodology to examine how the implementation of e-learning will affect the learning outcomes for staff training in an organisational context. The research involves an intervention in the…

This article reflects critically on simulations. Building on the authors' experience simulating the Palestinian-Israeli-American Camp David negotiations of 2000, they argue that simulations are useful pedagogical tools that encourage creative--but not critical--thinking and constructivist learning. However, they can also have the deleterious…

CLIL (Content and Language Integrated Learning) is a teaching method in which learners develop linguistic competence and problem-solving abilities by learning content subjects in another language. However, learners' cognitive gains may depend on their affectivity. Negative affect hampers complex cognitive processing essential for problem-solving,…

The literature and the employee and workforce surveys rank collaborative problem solving (CPS) among the top 5 most critical skills necessary for success in college and the workforce. This paper provides a review of the literature on CPS and related terms, including a discussion of their definitions, importance to higher education and workforce…

This submission contains the Proceedings of the 2016 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Queen's University in Kingston, Ontario. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the Study…

The Every Students Succeeds Act (ESSA) directs states and districts to identify equity gaps in students' access to excellent educators and transformative school leaders. States are encouraged to use Title II funds strategically in order to identify and remedy these gaps. A new report from The Education Trust draws on ESSA documents and state…

This multiple methods (Denzin, 1978) study investigated two instructional approaches, traditional module and electronic Problem-Based Learning instruction (e-PBL), used within a middle school engineering classroom focused on the variables of engagement, content knowledge, student self-assessment and teacher assessment of problem solving solutions.…

Student participation in real-world problems promotes "a sense of their own agency andcollective capacity to alter their neighbourhoods or communities for the better" (Smith, 2007).This paper describes student engagement in a two-week summer workshop conducted in June2016, where they used geospatial technologies and community mapping to…

In this application brief I share a case study assignment I used in my "Leadership in Complex Organizations" classes to promote creativity in problem solving. I sorted Ph.D. students into two teams and trained them to use creative writing techniques to "encode" theory into their own cases. A sense of competition emerged. Later,…

To meet the immense challenges society faces in areas such as energy, health, and environmental protection, science teachers and teacher educators need to invest in the creation of classroom cultures that turn the intellectual heavy lifting over to the students while developing students' identities as competent learners. The vision is that…