This paper presents a conceptual analysis for students' images of graphs and their extension to graphs of two-variable functions. We use the conceptual analysis, based on quantitative and covariational reasoning, to construct a hypothetical learning trajectory (HLT) for how students might generalize their understanding of graphs of…

In this activity, students are given the opportunity to combine skills in math and geometry for a biology lesson in the cell cycle. Students utilize the data they collect and analyze from an online onion-root-tip activity to create a paper-plate time clock representing a 24-hour cell cycle. By dividing the paper plate into appropriate phases of…

This article provides a description and discussion of an exploratory research study that examined the effects of using geospatial technology (GST) on high school students' spatial skills and spatial-relations content knowledge. It presents results that support the use of GST to teach spatially dependent content. It also provides indication of an…

Self-regulation skills have been found to be an important predictor of achievement in mathematics. Teaching a student to regulate his or her behavior during independent math work sessions using self-monitoring of performance with self-graphing focuses him or her on academic performance and results in increases in productivity and math proficiency.…

Graphics education has been a central component in the engineering course of study. As technology advances, so have the methods in which graphics are expressed and practiced. Though the of media of graphics education have evolved, the concepts of the field remain relatively consistent. Tools are needed to measure students' comprehension,…

Many elementary students have difficulty solving mathematical word problems. To alleviate trouble with word problems, we designed a word-problem intervention for 3rd-grade students with mathematics difficulty. In this intervention, tutors help students understand the three word-problem schemas for addition and subtraction word problems. Tutors…

This article aims to illustrate a process of making connections, not between mathematics and other activities, but within mathematics itself--between diverse parts of the subject. Novel connections are still possible in previously explored mathematics when the material happens to be unfamiliar, as may be the case for a learner at any career stage.…

This study posed and studied a solution to a prevailing tension in online education: the online medium is fundamentally connective and yet students often report feelings of social isolation. The study compared two online interventions -- both into a student's fluency in the language of functions and graphs, a major focus of a student's transition…

This study sought to examine the frequency and type of graphical representations in science trade books for children from 1972 to 2007. Specifically questions addressed differences in graphical forms in science discipline and for intended audience age for books. The results revealed that there is an increase in the presence and variation of…

Diagrams illustrating research on discussion forum content in online education practices can assist to clarify an author's thoughts and assist with the reader's comprehension. A review of past practices in the use of diagrams to explain, demonstrate or propose research findings shows a diversity of practices emerging from naturalistic settings.…

Purpose: The paper aims to discuss current Technical Education scenarios in India. It proposes modelling the factors affecting quality in a technical institute and then applying a suitable technique for assessment, comparison and ranking. Design/methodology/approach: The paper chose graph theoretic approach for quantification of quality-enabled…

How do toddlers learn the names of geometric forms? Previous work suggests that preschoolers have fragmentary knowledge and that defining properties are not understood until well into elementary school. The current study investigated when children first begin to understand shape names and how they apply those labels to unusual instances. We tested…

We have investigated whether and how a categorization of responses to questions on linear distance-time graphs, based on a study of Irish students enrolled in an algebra-based course, could be adopted and adapted to responses from students enrolled in calculus-based physics courses at universities in Flanders, Belgium (KU Leuven) and the Basque…

Background: Research studies (e.g., Phakiti, Language Testing 25(2):237-272, 2008a; Phakiti, Language Assessment Quarterly 5(1): 20-42, 2008b; Purpura, Learner strategy use and performance on language tests: a structural equation modeling approach, 1999) conducted on the construct validation of Bachman and Palmer's (1996) strategic competencehas…

Smoking is the source of fundamental health problems. Activities have been organised throughout the world so that smokers and non-smokers do not encounter smoking-related health problems in society. One such activity is the combined health warnings designed to be printed on cigarette packets. The warnings on cigarette packets are considered as an…