This article describes a "conscientious consumerism" project that involves the student as the consumer to either commend or complain to a company about a recent product or service experience. This activity and presentation helps students develop an understanding of the commendation/complaint management process within organizations while…

Educators know that creativity and innovation involve questioning and the capacity to frame topics as problems to be solved. They know that we are living in a time of a new generation of standards, including the Common Core State Standards (CCSS). In the U.S., compliance with these standards requires that educators encourage students to ask…

Schools are not just four walls inside of which students learn how to read, write and think. Schools provide a venue where young people meet each other, and where they develop relationships and friendships that may last for decades. At school, students socialise and hone the interpersonal skills that are required to function effectively in the…

Researchers have proposed a variety of methods to make a connection between real life and mathematics so that it can be learned in a practical way and enable people to utilise mathematics in their daily lives. Model-eliciting activities (MEAs) were developed to fulfil this need and are very capable of serving this purpose. The reason MEAs are so…

The relationship between mathematical creativity (MC) and mathematical problem-solving performance (MP) has often been studied but the causal relation between these two constructs has yet to be clearly reported. The main purpose of this study was to define the causal relationship between MC and MP. Data from a representative sample of 480…

This paper outlines a framework to explain the early development of place-value understanding based on an analysis of data from 84 five- to seven-year-old children from diverse cultural and linguistic backgrounds. The children were assessed individually on number knowledge tasks (recalled facts, subitizing, counting, place-value understanding) and…

This paper reports on scaffolding that is situated within a research project that examined the ways mathematical thinking emerged from student-centred inquiry. The project utilised qualitative methods to investigate a case study of a year-10 class (14-15-year-olds), at a new purpose-built secondary school designed to facilitate inquiry learning.…

Research has found that students, particularly those in middle school and high school, believe that their participation in mathematics classrooms includes listening to teachers explaining, working in textbooks, and solving exercise problems quickly (Franke, Kazemi, and Battey 2007). In this article, the authors describe a classroom vignette and…

Studies of mathematics teacher preparation frequently lament the divide between the more theoretically based university methods course and the practically grounded classroom field experience. In many instances, attempts to mediate this gap involve creating hybrid or third spaces, which seek to dissipate the differences in knowledge status as…

Many teachers of required secondary school mathematics classes are introducing statistics and probability topics traditionally relegated to college or AP Statistics courses. As a result, they need guidance in preparing lesson plans and orchestrating effective classroom discussions. In this article, the authors will describe the students' learning…

The purpose of this study is to analyse from the perspective of a history teacher and of a geography teacher the use of a photo at a history lesson. The task of designing learning activities associated with a photo was given at the discipline "Models and Paradigms of Teaching and Learning" to the first year students of the Curricular…

Discover the secrets contained in fossilized feces. Few topics in middle school classrooms capture students' enthusiasm and interest as do coprolites. These trace fossils offer classroom opportunities for integrated life and Earth sciences study, a stranger-than-fiction history of science, and an opportunity to solve mysteries. (Contains 8…

In this article, the author wishes to emphasize two fundamental points related to theory that were significantly underplayed in Simon et al.'s "A Developing Approach to Studying Students' Learning through Their Mathematical Activity" (2010). The author believes these points are central to any study of children's mathematical learning. The first…

Today, much problem solving is performed by teams, rather than individuals. The complexity of these problems has exceeded the cognitive capacity of any individual and requires a team of members to solve them. The success of solving these complex problems not only relies on individual team members who possess different but complementary expertise,…

Prior research shows that representational competencies that enable students to use graphical representations to reason and solve tasks is key to learning in many science, technology, engineering, and mathematics domains. We focus on two types of representational competencies: (1) "sense making" of connections by verbally explaining how…