In this work, an attempt is made to evaluate the errors that have to do with the interpretation and construction of graphic representations. Although the students are studying in the second year of technical high school (secondary education), i.e. in schools with an emphasis in technical subjects (post junior secondary), it is observed that they…

The methods that we teach students for computing with units of measurement are often not consistent with the practice of professionals. For professionals, the vast majority of computations with quantities of measure are performed within programs on electronic computers, for which an accounting for the units occurs only once, in the design of the…

Numeracy is as essential to becoming an active and thoughtful citizen as literacy. Although the concept of numeracy is complex and robust, there are four areas in which teachers can fairly easily begin to incorporate it into social studies curriculum and instruction. The areas include the students' ability to understand raw numeric data in…

We apply a "tutorial design process", which has proven to be successful for a number of physics topics, to design curricular materials or "tutorials" aimed at improving student understanding of important concepts in a university-level introductory materials science and engineering course. The process involves the identification…

"Bars, Lines, & Pies" is a dynamic math program designed to build graphing skills in students, while also showing them the relevance of math in their lives. Developed by The Actuarial Foundation along with Scholastic, the graphing lessons and activities involve engaging, real-world examples about the environment and recycling. In these lessons,…

The most common activity in a social studies classroom should be the analysis of primary sources. Students are intrigued and engaged by edited and unedited documents, written statements, transcribed speeches, photographs, pictures, charts, graphs, cartoons, and even material objects. Ideally, the goal of social studies teachers is to prepare…

Students in introductory engineering graphics courses at North Carolina State University (NCSU) were asked to complete surveys to help educators and administrators understand their attitudes toward learning and their motivation to learn. Analyses of the completed surveys provided the Graphic Communications Program at NCSU with an understanding of…

A small-group, web-interactive approach to teaching precalculus concepts was investigated. Following an online pretest, 3 participants were given a brief (15 min) presentation on the details of reciprocal math relations and how they operate on the coordinate axes. During baseline, participants were tested regarding their ability to construct…

We analyze how three seventh grade mathematics teachers from a majority Latino/a, linguistically diverse region of Texas taught the same lesson on interpreting graphs of motion as part of the Scaling Up SimCalc study (Roschelle et al., 2010). The students of two of the teachers made strong learning gains as measured by a curriculum-aligned…

We studied the problem of constraint-based pattern mining for three different data formats, item-set, sequence and graph, and focused on mining patterns of large sizes. Colossal patterns in each data formats are studied to discover pruning properties that are useful for direct mining of these patterns. For item-set data, we observed robustness of…

Interpreting graphs found in various content areas is an important skill for students, especially in light of high-stakes testing. In addition, reading and understanding graphs is an important part of numeracy, or numeric literacy, a skill necessary for informed citizenry. This article explores the different categories of graphs, provides…

Making connections between various representations is important in mathematics. In this article, the authors discuss the numeric, algebraic, and graphical representations of sums of absolute values of linear functions. The initial explanations are accessible to all students who have experience graphing and who understand that absolute value simply…

A simple way is given to create residual plots that are words or pictures. Three illustrative examples are presented.

On a recent autumn afternoon at Harmony Leland Elementary in Mableton, Georgia, students in a fifth-grade science class investigated the essential process of classification--the act of putting things into groups according to some common characteristics or attributes. While they may have honed these skills earlier in the week by grouping their own…

A common activity--having students collect data to measure the radius and circumference of circular objects--can be given a new twist. These data can be viewed virtually using technology. A dynamic geometry environment coupled with the powerful capabilities of a spreadsheet can greatly enhance student learning. The activity in this article…