This viewpoint paper presents the writer's opinion that while the use of problem solving as the core method for learning mathematics is valid and reasonable in secondary schools (where students generally possess the necessary prior skills and strategies) there are many obstacles to applying the same method in primary schools, particularly in the…

In this article, the authors present an approach to developing open-ended problems through capturing contextualised mathematics in photographs. They draw upon their research with the Problem Posing Research Project, a collaborative venture between an Australian and a Canadian university to broaden pre-service teachers pedagogical practices in the…

Traditional review sessions are intended to help students learn and prepare for upcoming exams. Most sessions are passive question and answer sessions that look backward at content deficits rather than advancing student learning. By incorporating active and cooperative learning approaches during a review session, students are able to recognize…

Street intersections are a source of accidents--for both automobiles and pedestrians. This article presents an intersection challenge that allows students to explore some possible ways to change the traditional intersection. In this challenge, teachers open up the boundaries and allow students to redesign their world. The first step is to help…

This article develops the notion of resistance as articulated in the literature of critical pedagogy as being both culturally sponsored and cognitively manifested. To do so, the authors draw upon John Dewey's conception of tools for inquiry. Dewey provides a way to conceptualize student resistance not as a form of willful disputation, but instead…

Technology and millennials have created a shift in the world and how it operates. This impact has been experienced in the field of occupational therapy education. As a result of this paradigm shift, an analysis of effective teaching methodologies was carried out to assess the most effective way to engage the millennials in an analysis of…

This article presents different approaches to a problem, dubbed by the author as "the consecutive pages problem". The aim of this teaching-oriented article is to promote the teaching of abstract concepts in mathematics, by selecting a challenging amusement problem and then presenting various solutions in such a way that it can engage the attention…

When solving systems of equations by using matrices, many teachers present a Gauss-Jordan elimination approach to row reducing matrices that can involve painfully tedious operations with fractions (which I will call the traditional method). In this essay, I present an alternative method to row reduce matrices that does not introduce additional…

The purpose of this study was to provide preliminary results on the use of schema-based strategy instruction to teach addition and subtraction word problem solving to a fourth grade student with autism. The student was taught to use schematic diagrams to solve three types of addition and subtraction word problems. A multiple probes across…

Helping students to construct robust understanding of physics concepts and develop good solving skills is a central goal in many physics classrooms. This thesis examine students' problem solving abilities from different perspectives and explores strategies to scaffold students' learning. In studies involving analogical problem solving…

Educators at all levels want their students to develop habits of self-directed learning and critical problem-solving skills that encourage ownership and growth. In "The Learner-Directed Classroom," practicing art educators (PreK-16) offer both a comprehensive framework for understanding student-directed learning and concrete pedagogical strategies…

The purpose of this study is to impact the teaching and learning of math of 2nd through 4th grade math students at Porfirio H. Gonzales Elementary School. The Cognitively Guided Instruction (CGI) model serves as the independent variable for this study. Its intent is to promote math instruction that emphasizes problem-solving to a greater degree…

Engaging and extending middle years students in mathematics is a continual challenge. One of the aims of the "Australian Curriculum: Mathematics" is to ensure that students are "confident, creative users and communicators of mathematics" (ACARA, 2011). Use of mathematical models and/or problems has been suggested as methods of…

We have applied the "practical paradigm" in teaching problem solving to secondary school students. The key feature of the practical paradigm is the use of a practical worksheet to guide the students' processes in problem solving. In this paper, we report the diffusion of the practical paradigm to university level courses for prospective…

Problem solving skills and abilities are critical in life and more specifically in the engineering field. Unfortunately, significant numbers of South African students who are accessing higher education lack problem solving skills and this results in poor academic performance jeopardizing their progress especially from first to second year. On the…