The Lithuanian Informatics Olympiad is a problem solving contest for high school students. The work of each contestant is evaluated in terms of several criteria, where each criterion is measured according to its own scale (but the same scale for each contestant). Several jury members are involved in the evaluation. This paper analyses the problem…

The close relationship between charged particles and electromagnetic fields has been well known since the 19th century, thanks to James Clerk Maxwell's brilliant unified theory of electricity and magnetism. Today, electromagnetism is recognized as an essential aspect of human activity and has consequently become a major component of senior…

This article explores theoretical and methodological issues associated with task-based interviews conducted with pairs of children. We explore different approaches to interviews from sociological, psychological and subject-based perspectives. Our interviews, concerning mathematical questions and carried out with pairs of 10 and 11-year-olds, are…

The purpose of this study was to determine whether there are different growth trajectories of arithmetic strategies and whether these trajectories result in different achievement outcomes. Longitudinal data were collected on 240 students who began the study as 2nd graders. In the 1st year of the study, the 2nd-grade students were assessed on…

To better understand how teachers can capitalize on the power of story problems, Jacobs and Ambrose analyzed teacher-student conversations in problem-solving interviews. They identified eight categories of teacher moves that, when timed properly, were productive in advancing mathematical conversations. (Contains 2 tables.)

Standard classroom tests tend to showcase what students know at that point in time and do not usually reflect real-life mathematics. They are not always accurate indicators of what students understand and how they understand it. Portfolios are tools that allow students a better opportunity to exhibit mathematical growth in understanding and…

Problem solving lies at the heart of mathematical learning. Children need opportunities to write, discuss, and solve problems on a regular basis. The problems must incorporate grade-appropriate content and be "accessible and engaging to the students, building on what they know and can do." Teachers also play a key role in establishing a classroom…

This is a study of David, a senior enrolled in a high school precalculus course. David's understandings of functions and periodicity was explored, through clinical interviews and contextualized through classroom observations. Although David's precalculus class was traditional his understanding of periodic functions was unconventional David engaged…

We present a general formula for a triple product involving four real numbers. As a particular case, we get the sum of a triple product of four odd integers. Some interesting results are recovered. We derive a general formula for more than four odd numbers.

This study investigated the knowledge and skills that biology students may need to help them understand statistics/mathematics as it applies to genetics. The data are based on analyses of current representative genetics texts, practicing genetics professors' perspectives, and more directly, students' perceptions of, and performance in, doing…

The purpose of this study was to examine the story behind one young deaf child who demonstrated exceptional early mathematical competence and the individual and family characteristics that might have contributed to his success. As an outlier, this child achieved a score on a test of early mathematical ability that was two standard deviations…

Every day students from across the United States enter their math classrooms, take their seats, sit passively as their teachers teach the content, and then go home only marginally prepared to solve the problems their teachers assigned. Although the challenges of teaching are universal and as old as Methuselah, the advantage today is that educators…

Problem-based video podcasts provide short, web-based, audio-visual explanations of how to solve specific procedural problems in subject areas such as mathematics or science. A series of 59 problem-based video podcasts covering five key areas (operations with functions, solving equations, linear functions, exponential and logarithmic functions,…

Our main goal in this study is to exemplify that a meticulous design can lead pre-service teachers to engage in productive unguided peer argumentation. By productivity, we mean here a shift from reasoning based on intuitions to reasoning moved by logical necessity. As a subsidiary goal, we aimed at identifying the kinds of reasoning processes…

Have your students ever wondered what NASA scientists do? Have they asked you what their science and mathematics lessons have to do with the real world? This unit about Earth's atmosphere can help to answer both of those questions. The unit described here showcases "content specific integration" of science and mathematics in that the lessons meet…