This paper examines the factors that hinder students' success in working with and understanding the mathematics of quadratic equations using a case study analysis of student error patterns. Twenty-five Year 11 students were administered a written test to examine their understanding of concepts and procedures associated with this topic. The…

Concern is often raised about the performance of Australia's "best" mathematics students on international studies, relative to past students and other countries. An important consideration in developing strategies to ensure our most proficient mathematics students experience learning growth is an understanding of the distribution and…

The purposes of this study were to (a) investigate the efficacy of a core fraction intervention program on understanding and calculation skill and (b) isolate the effects of different forms of fraction word-problem (WP) intervention delivered as part of the larger program. At-risk 4th graders (n = 213) were randomly assigned at the individual…

"Cognitive Tutor"® is a secondary mathematics curriculum developed by Carnegie Learning that focuses on how students think about and learn mathematics. Teachers facilitate student learning as students acquire and apply new information and discuss their work. The curriculum can be implemented using a textbook, adaptive software, or…

The aim of this study was to evaluate the implementation of the cooperative learning model supported with dynamic mathematics software (DMS), that is a reflection of constructivist learning theory in the classroom environment, in the teaching of mathematics. For this purpose, a workshop was conducted with the volunteer teachers on the…

This paper reports an exploration into Indonesian fourth graders' difficulties in fractions and their relation to the opportunity to learn fractions students got at schools. The concept of "opportunity to learn" is often considered as a framework to investigate possible reasons for students' difficulties. The data for this study was…

Within mathematics teaching, ways to help students resolve proportional reasoning problems remains a topical issue. This study sought to investigate how a simple innovative procedure could be introduced to enhance skill acquisition. In two classroom-based experiments, 12-year-old students were asked to solve proportional reasoning mathematics…

Background: To examine whether different dimensions of parenting at different ages help small-for-gestational-age (SGA) children "catch-up" the normal children in cognition and psychomotor. Methods: We analyzed data of 800 children born SGA and 3,000 children born appropriate-for-gestational-age (AGA) from the Early Childhood…

The concept of mathematical problem solving is an important mathematical process in mathematics curricula of education systems worldwide. These math curricula demand that learners are exposed to authentic problems that foster successful problem solving. To attain this very important goal, there must be mathematics teachers well versed in content…

Critics of test-based accountability warn that test preparation has a negative influence on teachers' instruction due to a focus on procedural skills. Others advocate that the adoption of more rigorous assessments may be a way to incentivize more ambitious test preparation instruction. Drawing on classroom observations and teacher surveys, we do…

School-university partnerships also known as professional development school (PDS) partnerships provide potential for universities and schools to establish partnerships that can benefit university faculty, school teachers, university students, and school students. This study examines the impact of a PDS partnership in which the author served as a…

Background: Developing sufficient mathematical skills is a prerequisite to function adequately in society today. Given this, an important task is to increase our understanding regarding the cognitive mechanisms underlying young people's acquisition of early number skills and formal mathematical knowledge. Aims: The purpose was to examine whether…

Studies using tests scores as the dependent variable often report point estimates in student standard deviation units. We note that a standard deviation is not a standard unit of measurement since the distribution of test scores can vary across contexts. As such, researchers should be cautious when interpreting differences in the numerical size of…

An initial call by the editors of International Research in Geographical and Environmental Education prompted a study about the inclusion of geography in the Trends in International Mathematics and Science Study (TIMSS) tests. This study found that the geography education community were overwhelmingly in favour of such a move, believing that the…

The Trend in International Mathematics and Science Study reveals how the math and science achievement of students in participating countries compares with that of their international peers. Since 1995, the results have been surprising and disappointing for some countries. Astonished and disappointed by such outcomes, scholars and educational…