With the spread of learning analytics (LA) dashboards in K-12 schools, educators are increasingly expected to make sense of data to inform instruction. However, numerous features of school settings, such as specialized vantage points of educators, may lead to different ways of looking at data. This observation motivates the need to carefully…

Statistical graphs, measures of central tendency and measures of spread are key concepts in the statistics curriculum, so we present here a dynamic method (software) that may be used in the classroom. In this work we begin with an introductory approach. This is done to emphasize the importance of stimulating the visualization of statistical…

One sign of a good task is that it will work just as well with Year 7 as with Year 13. The author asks learners to use graph-drawing software to draw a picture with graphs. He uses his imagination to suggest what a particular curve might resemble and helps learners to adjust their drawings to achieve what they are trying to make. Sometimes, one…

These proceedings contain the papers and posters of the International Conference on e-Learning (EL) 2019, which was organised by the International Association for Development of the Information Society and co-organised by the Instituto Superior de Engenharia do Porto, in Porto, Portugal, July 17-19, 2019. The EL 2019 conference aims to address the…

Research findings show the difficulties younger students have in working with graphs. Higher mental operations are necessary for a skilled interpretation of abstract representations. We suggest connecting a concrete representation of the modeled problem with the related graph. The idea is to illustrate essential mental operations externally. This…

In a classroom environment in which continual access to graphing calculators is assumed, items that have been used to assess students' understanding of functions often are no longer appropriate. Describes strategies for modifying such items including requiring students to explain their reasoning, using calculator-active items, analyzing graphs and…

Presents activities in which students are invited to re-create on their calculator screen images using graphical features of the graphing calculator. (ASK)

This study investigated six students' understandings of and difficulties with qualitative and numerical methods for analyzing differential equations. From an individual cognitive perspective, the obstacles found to influence the development of students' understandings included the function dilemma, the tendency to overgeneralize, interference from…

Takes a theme from "IMPACT Maths" and works it into a spreadsheet activity to display data in bar charts, pie charts, and line graphs. (ASK)

Discusses teaching display and presentation skills by incorporating it into an interdisciplinary computer, math, and science lesson on graphing and collecting data which reinforces problem-solving skills and develops students' abilities to graph and interpret data. (ASK)

Science and mathematics educators are expected to use existing educational technologies effectively and to keep informed about emerging technologies that might become important educational tools in the not-so-distant future. This monograph offers some help in that regard by highlighting a number of existing and emerging educational technologies.…

Graphical representations play an important role in both science and mathematics education. Graphs can summarize very complex information or relationships very effectively. Although graphs are explicitly taught in mathematics classrooms as an end in themselves, many subject areas such as science or social studies utilize graphs to represent and…

The concept of function is central in mathematics and grows in importance as one progresses in depth and breadth of understanding mathematics. Results from national assessment progress reports indicate that the majority of students do not comprehend the concepts of function and graphing. Technology has the potential to improve the understanding of…

Discusses gradebook programs, both for schools with electronic administrative programs and those without. Outlines problems and benefits of selected programs, focusing on intuitiveness (ease of use for those with little training); report generators and customization abilities; and graphing and attendance-keeping capabilities. (AEF)

The use of multiple representations with or without technology is one of the major topics in mathematics education that has gained importance in recent decades. The use of multiple representations is advocated by many mathematics educators and supported by the National Council of Teachers of Mathematics (NCTM) Standards. In this paper, multiple…