This paper reports on a part of a study which was conducted to determine the effect of van Hiele theory based instruction in the teaching of geometry to Grade 10 learners. The sample consisted of 359 participants from five conveniently selected schools from Mthatha District in the Eastern Cape Province in South Africa. There were 195 learners in…

The purpose of this meta-analysis was to determine the relation between mathematics and working memory (WM) and to identify possible moderators of this relation including domains of WM, types of mathematics skills, and sample type. A meta-analysis of 110 studies with 829 effect sizes found a significant medium correlation of mathematics and WM, r…

Geometric experience, spatial representation, spatial visualization, understanding the world around us, and developing the ability of spatial reasoning are fundamental aims in the teaching of mathematics. (Freudenthal, 1972) Learning is a process which involves advancing from level to level. In primary school the focus is on the first two levels…

The Rural Math Excel Partnership (RMEP) identified math competencies used by technicians in the workplace compared to standards of learning required in the public school curriculum. A modified DACUM process revealed 39 math competencies used by technicians in STEM-related occupations of the rural region. Group interviews with faculty in three…

We analyze and discuss ways in which prospective high school teachers pose and pursue questions or problems during the process of reconstructing dynamic configurations of figures given in problem statements. To what extent does the systematic use of a Dynamic Geometry System (DGS) help the participants engage in problem posing activities…

Several studies that suggest for the inclusion of students' cultural background into the mathematics curriculum fail to address gender roles within cultures and the impact it will have on the understanding of academic mathematics. This paper reports a study of high school students' involvement in everyday material production and its connection to…

Every day, people use data to make decisions that affect their personal and professional lives, trusting that the data are correct. Many times, however, the data are inaccurate, as a result of a flaw in the design or methodology of the survey used to collect the data. Researchers agree that only questions that are clearly worded, unambiguous, free…

The worked example effect indicates that examples providing full guidance on how to solve a problem result in better test performance than a problem-solving condition with no guidance. The generation effect occurs when learners generating responses demonstrate better test performance than learners in a presentation condition that provides an…

To pose a problem refers to the creative activity for mathematics education. The purpose of the study was to explore the eighth grade students' problem posing ability. Three learning domains such as requiring four operations, fractions and geometry were chosen for this reason. There were two classes which were coded as class A and class B. Class A…

A modern school should encourage students to deepen the subjects autonomously and beyond the normal curricula. Such aim, requiring both well-disposed pupils and cooperative teachers, was reached by the pioneering interdisciplinary project "From Soccerene to Fullerene" in 2013. The scientific education was noticeably improved, especially…

This article empirically studies the impact of bilingualism on educational achievements. This relationship has been thoroughly studied in a number of countries around the world, but not in Russia. We used a sample of 709 ethnic Tatar school students aged 15-16 (in the ninth grade) in the spring of the year 2010. We found a positive significant…

In recent years, student surveys have played an increasingly large role in educational research, policy making, and, particularly, accountability efforts. However, research on the accuracy of students' self-reports about themselves and their education is limited to analyses of overall grade point average and ACT/SAT standardized test scores. Using…

The movement of groundwater in underground aquifers is an ideal physical example of many important themes in mathematical modeling, ranging from general principles (like Occam's Razor) to specific techniques (such as geometry, linear equations, and the calculus). This article gives a self-contained introduction to groundwater modeling with…

Students analyze a photograph to solve mathematical questions related to the images captured in the photograph. This month, photographs of a massive sculpture near the National Mall in Washington, D.C., provide opportunities for counting problems, generalizing from a pattern, and fitting a quadratic to data.

Confusion can arise from the subtle difference between proving a general and a particular statement, especially when general statements are presented by textbooks in ways that make them appear particular in nature. The authors discuss the implications for teaching proof in light of the current opportunities in high school geometry textbooks.