Solving mathematics contextual problems is one way that can be used to enable students to have the skills needed to live in the 21st century. Completion contextual problem requires a series of steps in order to properly answer the questions that are asked. The purpose of this study was to determine the steps performed students in solving…

Representation and justification are two central "mathematical practices". In the past, each has been examined to gain insights in the functions that they have in students' mathematical problem solving. Here, we examine the ways that representation and justification interact and influence the development of one another. We focus on the…

The present study describes the usage of strategies of symbolic representation during teaching introduction of decimal system in primary school in Mexico. Our research is based on Activity Theory conception of teaching-learning process and of gradual introduction of scientific concepts in school age. The method includes symbolic external…

The goal of the present study is to investigate the relationship between pupils' problem posing and problem solving abilities, their beliefs about problem posing and problem solving, and their general mathematics abilities, in a Chinese context. Five instruments, i.e., a problem posing test, a problem solving test, a problem posing questionnaire,…

This article begins by considering the general nature of capability, from some dictionary meanings, then extends to theoretical perspectives related to the capability approach. As a consequence, we arrive at an operational definition that emphasises the ability to solve problems in a systematic way that brings transformation. In these terms,…

This paper reports on research undertaken to determine the effectiveness of a 3D simulation environment used to train mining personnel in emergency evacuation procedures, designated the Fires in Underground Mines Evacuation Simulator (FUMES). Owing to the operational constraints of the mining facility, methods for measuring learning transfer were…

What does problem-based instruction do for students and teachers? The open-ended geometry problem presented in this article, along with examples of students' work on the problem, illustrates how problem-based instruction can help students develop their mathematical proficiency. Recent studies have shown that students who experience problem-based…

Before the "big test" did you use the following study strategies: highlighting, rereading, and cramming? As students many of us probably did, yet research shows that while these three strategies are commonly used, they have been ineffective in retaining information. Learning strategies have been discussed in almost every textbook on…

Equity Indexed Annuities (EIAs) are controversial financial products because the payoffs to investors are based on formulas that are supposedly too complex for average investors to understand. This brief describes how Monte Carlo simulation can provide insight into the true risk and return of an EIA. This approach can be used as a project…

In museum literature, labels have been found to increase visitor learning and contribute to greater cognitive gains. In this study, we seek to understand how various labels support the visitors' learning experience, and specifically in regards to conceptual and cognitive learning. We investigated the increasing use of three types of labels (visual…

Business students take courses in Financial Accounting where they learn the basic financial statements and how to present and analyze them. Accounting majors immediately experience a frustrating situation as they continue their studies with the Intermediate Accounting I course. Practicing accountants realize when they attend continuing education…

This article describes some of the benefits derived from encouraging math drawing in a class of seventh-and eighth-grade students in line with promoting mathematical proficiency. The authors report teaching pictorial representations as part of the solution process, where both students and teachers gained insight into various areas of…

In this instructional article, we describe a non-traditional course assignment in which we ask students in our social problems courses to write, illustrate, and present a children's book about a social problem as part of the process of learning. Over the course of the semester, students utilize guided handouts to create a children's book exploring…

In this paper, we report on a project concerned with the role of cognition during problem solving. We specifically explore the categories of mental representations that students work with during problem solving of different representational task formats. The sample, consisting of 19 engineering students taking a calculus-based physics course,…

International collaboration is a rapidly growing aspect of university research and a priority of research funding agencies. This article investigates the rationales that underlie Canadian federal research councils' support of international research collaborations. Such support has deep roots in Canadian science and technology policy but has taken…