In May 2008, the first National Assessment Program for Literacy and Numeracy (NAPLAN) test was administered across Australia to determine the standard of literacy and numeracy achievement of Australia's students in Years 3, 5, 7 and 9. Some students did very well on the tests and some did not. This type of test can tell a great deal about…

The authors investigate how an integrative approach can be applied to teaching of different disciplines at school. Interdisciplinarity can be defined as a process of answering a question, solving a problem or addressing a topic that is too broad to be dealt with by a single discipline. In addition to an integrated understanding of the topic, the…

The following study describes design research in an elementary school near the metropolitan D.C. area with a diverse student population. The goal of the project was to design tasks that leveraged technology and enhance the access to critical thinking in specific mathematical concepts: data analysis and probability. It highlights the opportunities…

Despite its importance in mathematical problem solving, verification receives rather little attention by the students in classrooms, especially at the primary school level. Under the hypotheses that (a) non-standard tasks create a feeling of uncertainty that stimulates the students to proceed to verification processes and (b) computational…

Understanding of ratio and proportion is critical to the development of higher level mathematical skills. Following Carpenter, Gomez, et al.'s (1999) proposal of a four-level trajectory in the development of proportional reasoning, a 12-week investigation was undertaken of the developmental trajectory of proportional reasoning of girls in two…

An understanding of proof does not start in a high school geometry course. Rather, attention to logical reasoning throughout a student's school experience can help the development of proof readiness. In the spirit of problem solving, the author has begun to use some Japanese logic puzzles other than sudoku to help students develop additional…

During each of the holiday seasons, the author tries to come up with a lesson that will incorporate art history and have a holiday theme. One recent winter-holiday season, the author was thumbing through a catalog and saw a picture of note cards that had famous artists' stockings hanging on a mantel. This triggered an idea for the author's…

Strategies used to solve two-digit addition problems (e.g., 27 + 48, Experiment 1) and two-digit subtraction problems (e.g., 73 - 59, Experiment 2) were investigated in adults and in children from Grades 3, 5, and 7. Participants were tested in choice and no-choice conditions. Results showed that (a) participants used the full decomposition…

This report presents the results of an experiment conducted in Alabama beginning in the 2006/07 school year, to determine the effectiveness of the Alabama Math, Science, and Technology Initiative (AMSTI), which aims to improve mathematics and science achievement in the state's K-12 schools. This study is the first randomized controlled trial…

Two studies describe the development of a comprehensive, vignette-based measure of social information processing (SIP) particularly relevant for children with internalizing problems. Study 1 (N = 219 3rd-6th graders) describes the creation of the Children's Evaluation of Everyday Social Encounters Questionnaire (ChEESE-Q) and evidence for its…

This study investigated quantitative and qualitative changes in mental rotation performance and solution strategies with a focus on sex differences. German children (N = 519) completed the Mental Rotations Test (MRT) in the 5th and 6th grades (interval: one year; age range at time 1: 10-11 years). Boys on average outperformed girls on both…

The research article in this article is part of a larger study that examines an initiative to expand teacher expertise in facilitating mathematical problem solving within the framework of developing and field-testing pedagogical resources. We focus on one year of the study and report on the complex process of professional development as teachers…

Intervention research on school bullying was conducted in a primary school with an action research method. After conducting a five-week intervention program, the occurrence ratio of being bullied on the way to school and back home and the degree to which children were bullied dropped significantly, but the rate of reduction in grade three was…

This study investigated the approaches to teaching by three fifth-grade teachers' of creative and non-creative mathematical problems for fractions. The teachers' personal constructs of the two kinds of problems were elicited by interviews through the use of the repertory grid technique. All the teaching was observed and video-recorded. Results…

The purpose of this technical report is to describe a research study exploring students' cognitive processing while solving problems related to division of fractions. Four students were interviewed using verbal protocol techniques with the intention of better understanding their cognitive processing when dividing fractions. Information gained from…