Students are immersed in a mathematically intensive, technological world. They engage daily with iPods, HDTVs, and smartphones--technological devices that rely on sophisticated but accessible mathematical ideas. In this article, the authors provide an overview of four lab-type activities that have been used successfully in high school mathematics…

This study reveals general didactic concepts of the Expert Systems (ES) development process in the educational area. The proof of concept is based on the example of teaching the 8th grade Algebra subject. The main contribution in this work is the implementation of innovative approaches in analysis and processing of data by expert system as well as…

This article describes some of the benefits derived from encouraging math drawing in a class of seventh-and eighth-grade students in line with promoting mathematical proficiency. The authors report teaching pictorial representations as part of the solution process, where both students and teachers gained insight into various areas of…

Reasoning is central to what Cuoco, Goldenberg, and Mark refer to as mathematical "habits of mind" (1996). "Reasoning is an integral part of doing mathematics. Students should enter the middle grades with the view that mathematics involves examining patterns and noting regularities, making conjectures about possible generalizations,…

Much of what is taught, especially in college, is designed to support other disciplines. To determine the current mathematical needs of twenty-three partner disciplines, the Mathematical Association of America (MAA) conducted the Curriculum Foundations Project (Ganter and Barker 2004; Ganter and Haver 2011), as discussed in the appendix…

This paper examines "resilience" of mathematics students in transition from a sociocultural perspective, in which resilience is viewed as relational and in particular as a function of the social and cultural capital students may bring to the new field. We draw on two students' stories of transition, in which we recognise elements…

There is a general perception that the South African curriculum statements for mathematics create polarity between the 'old' and the 'new', which does not benefit both the teachers and the learners. The new curricula demand a radical shift from the traditional teacher-led approaches that teachers are familiar with, yet does not provide a model of…

The concepts of variability and uncertainty are regarded as cornerstones in statistics. Proportional reasoning plays an important connecting role in reasoning about variability and therefore teachers need to develop students' statistical reasoning skills about variability, including intuitions for the outcomes of repeated sampling situations. Many…

The research was aimed at investigating whether the intended time of 280 min per week for 92 weeks was adequate for the treatment of Senior High School (SHS) Elective Mathematics. A stratified random sampling method was used to select three sex female, two single sex male and three mixed SHSs in eight sub-metros in the Kumasi Metro of the Ashanti…

The study investigates interaction effects of formative testing and attitudinal types as they affect students' achievement in mathematics. A total of 120 students are drawn from the three geopolitical zones of Delta State and participated in the experiment. Three-of-the-four formative test instruments were used namely: self-report rating scale;…

This study describes the development of the Students' Conceptions of Mathematics as Sensible (SCOMAS) Framework and its application to the study of the conceptions of mathematics as sensible of students in a secondary mathematics classroom. The SCOMAS Framework begins with indicators that students conceive of mathematics as sensible and provides a…

Recent research on the design of social experiments has highlighted the effects of different design choices on research findings. Since experiments rarely collect their samples using random selection, in order to address these external validity problems and design choices, recent research has focused on two areas. The first area is on methods for…

High school mathematics students often complete homework and study for unit tests without support to consider how these actions could contribute to their mathematical learning. Learning to learn mathematics invites students to bring into view how they learn mathematics. The constructivist grounded theory study reported in this presentation…

This study explores the communicative accommodation strategies employed by a bilingual tutor and an ELL student during the discussion of word problems involving secondary algebra and geometry concepts. Mathematics discussions are conceived as communicative events wherein ELL student comprehension is promoted through provision of simplified…

The mathematical idea of similarity is typically taught to students across the middle school years between ages 11 and 14. In this study, students' understanding of presimilarity is examined based on a set of clinical interviews of 21 students aged 12-13 years. Students were asked to scale a series of geometric figures and were found to use a…