Many children fail to master fraction arithmetic even after years of instruction, a failure that hinders their learning of more advanced mathematics as well as their occupational success. To test hypotheses about why children have so many difficulties in this area, we created a computational model of fraction arithmetic learning and presented it…

This report summarises the research activities and findings from the TLRI-funded project entitled "Visualising Chance: Learning Probability Through Modelling." This exploratory study was a 2-year collaboration among two researchers, two conceptual software developers/interactive graphics experts, three university lecturers/practitioners,…

The subject of the research is to build methodologies to evaluate the student knowledge by testing. The author points to the importance of feedback about the mastering level in the learning process. Testing is considered as a tool. The object of the study is to create the test system models for defence practice problems. Special attention is paid…

Basic mathematical fluency is a prerequisite for success in a wide array of areas in biology and it has been noted that many students are deficient in this skill. In this paper, the use of a "simulated" peer-assessment activity is investigated as a method to improve performance in numerical problem-solving questions in high school…

I investigated why math capable students are not entering science, technology, engineering, and math (STEM) careers. To research the problem, I explored how highly effective elementary math teachers (HEMT) create student interest in mathematics using the self- efficacy (SE) theory and information and communication technology (ICT). The purpose of…

Many studies have previously focused on how people with different levels of expertise solve physics problems. In early work, focus was on characterising differences between experts and novices and a key finding was the central role that propositionally expressed principles and laws play in expert, but not novice, problem-solving. A more recent…

This video-stimulated interview study of problem-solving activity of a high performing Grade 6 girl who displayed confidence in her mathematical ability, provides a microanalysis of tensions she encountered when her findings using concrete aides did not match her rule application. It highlights her disinclination to explore these inconsistencies.…

This paper describes the utility of using simulated, rather than real, student solutions to problems within a peer-assessment setting and whether this approach can be used as a means of improving performance in chemical calculations. The study involved a small cohort of students, of two levels, who carried out a simulated peer-assessment as a…

Video games have tremendous potential in mathematics education, yet there is a push to simply add mathematics to a video game without regard to whether the game structure suits the mathematics, and without regard to the level of mathematical thought being learned in the game. Are students practicing facts, or are they problem-solving? This paper…

Bayes's theorem is notorious for being a difficult topic to learn and to teach. Problems involving Bayes's theorem (either implicitly or explicitly) generally involve calculations based on two or more given probabilities and their complements. Further, a correct solution depends on students' ability to interpret the problem correctly. Most people…

The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. "Hands-on Activities for Teaching the Common Core Math…

This submission contains the Proceedings of the 2011 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Memorial University of Newfoundland in St. John's, Newfoundland. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning.…

This article describes several methods from discrete mathematics used to simulate and solve an interesting problem occurring at a holiday gift exchange. What is the probability that two people will select each other's names in a random drawing, and how does this result vary with the total number of participants? (Contains 5 figures.)

The project designed and developed a videodisc package that provides both assessment and related instruction programs for job-related mathematics problem solving, using simulations to provide direct access to vocational situations. The materials are intended to meet the needs of youth and young adults with mild mental handicaps in transition from…

Presents a program to introduce fifth graders to everyday economic life by constructing a true-to-life simulation of an economic community. Students apply mathematics skills to managing a checking account, calculating electric bills, and managing shops using computers. (MDH)