A very simple strategy for the solution of the Schrodinger equation of a particle moving in one dimension subjected to a generic potential is presented. This strategy is implemented in a computer program called Kmonodium, which is free and distributed under the General Public License (GPL).

Phyllis Whitin was interested in the role of communications in developing mathematical understanding among children. She designed a problem-posing explorations system, which encouraged children to think, question, solve problems and discuss their ideas, strategies and solutions.

In this article, the authors describe their efforts to assess prospective K-8 teachers' knowledge of proportional reasoning. Based upon their analysis of prospective K-8 teachers' work on a mathematics performance task, they discuss the implications for preparing prospective teachers to teach proportional reasoning to their students. In general,…

The benefits of visualizing mathematics by using technology such as TI-92+ and mathematically oriented software (DERIVE 5 and CABRI II) are indisputable. On the basis of some examples we would like to show that visualizing techniques can help students to analyse certain mathematical problems better and give them strong support in finding formal…

Most of the research on academics and attention deficit hyperactivity disorder (ADHD) has focused on reading disorders in children with ADHD rather than difficulties in mathematics. In this article, we provide a comprehensive review of studies focusing on students with attention deficit disorders with or without hyperactivity and 1 area of…

Assignments were altered to determine if interspersing additional briefer and easier mathematics problems enhanced students' accuracy on longer, more difficult target problems across two types of mathematics assignments. Students (N = 52) from three fifth-grade classes completed six math assignments incorporating two task demands and three…

With the introduction of the latest national curriculum, using and applying mathematics retained its attainment target within the level descriptions, but the programme of study was integrated into the programmes of study for curriculum content (number, shape, space, and measures). This brought it in line with the national numeracy strategy, which…

Adults and children often encounter situations where they have to make judgments about "how much" or "how long" or "how many." The significance of estimation as an ordinary, everyday, and natural aspect of measurement needs to be conveyed to students through their mathematical experiences. Many students, however, tend…

Examples of how good children's literature, supported by opportunities to work on meaningful tasks, and skillful questioning can promote mathematical learning are presented. Helping children solve problems, reason, value, feel confident, and communicate their thinking as mathematicians makes mathematical concepts come alive in young children's…

The author used a discourse analytic framework to examine the "voice" of a middle school mathematics unit. The aim of the analysis was to see whether the authors of the unit achieved the ideological goal (i.e., the intended curriculum) put forth by the NCTM's "Standards" (1991) to shift the locus of authority away from the teacher and the textbook…

This article deals with the investigation of the psychometric quality and constructs validity of algebra word problems generated by means of a schema-based version of the automatic min-max approach. Based on review of the research literature in algebra word problem solving and automatic item generation this new approach is introduced as a…

The integration of history into educational practice can lead to the development of activities through the use of genetic "moments" in the history of mathematics. In the present paper, we utilize Oresme's genetic ideas--developed during the fourteenth century, including ideas on the velocity-time graphical representation as well as geometric…

Although much is known about the differences between expert and novice problem solvers, knowledge of those differences typically does not provide enough detail to help instructors understand why some students seem to learn physics while solving problems and others do not. A critical issue is how students access the knowledge they have in the…

For many children, mathematics is an inherently difficult subject to learn. Between 5 and 8 percent of children between the ages of 6 and 14 have a particular type of cognitive deficiency that limits their aptitude to acquire knowledge and understanding of fundamental ideas in numeracy. Increasingly, researchers in the cognitive sciences are…

The purpose of this study is to investigate the effect of a one-year regular robotic toys (lego) training on school pupils' performance. The underlying pedagogical perspective is the "constructionist theory," where the main idea is that knowledge is constructed in the mind of the pupil by active learning. The investigation has been made…