Nonroutine function tasks are more challenging than most typical high school mathematics tasks. Nonroutine tasks encourage students to expand their thinking about functions and their approaches to problem solving. As a result, they gain greater appreciation for the power of multiple representations and a richer understanding of functions. This…

Two methods of data analysis are compared: spreadsheet software and a statistics software suite. Their use is compared analysing data collected in three selected experiments taken from an introductory physics laboratory, which include a linear dependence, a nonlinear dependence and a histogram. The merits of each method are compared. (Contains 7…

This article suggests an activity, called the epsilon-strip activity, as an instructional method for conceptualization of the rigorous definition of the limit of a sequence via visualization. The article also describes the learning objectives of each instructional step of the activity, and then provides detailed instructional methods to guide…

The fundamental theorem of calculus, in its simplified complexity, connects differential and integral calculus. The power of the theorem comes not merely from recognizing it as a mathematical fact but from using it as a systematic tool. As a high school calculus teacher, the author developed and taught lessons on this fundamental theorem that were…

The properties of a function such as limit, continuity, derivative, growth, or concavity can be determined more easily from its graph than by doing any algebraic operation. For this reason, it is important for students of mathematics to interpret some of the properties of a function from its graph. In this study, we investigated the competence of…

Probeware is the combination of sensors and software connected to a computer or handheld device. At the heart of probeware is a digital sensor that measures a particular physical parameter. One or more sensors are plugged into an interface, a calculator, and a handheld device. With the click of a button, probeware collects and graphs data in real…

We adapted and piloted Collaborative Strategic Reading-High School, a reading comprehension intervention, with three high school students with autism spectrum disorder to investigate its effects on their reading comprehension. Using a nonconcurrent, multiple-baseline design, participants with autism spectrum disorder were paired with a…

While split-plot designs have received considerable attention in the literature over the past decade, there seems to be a general lack of intuitive understanding of the error structure of these designs and the resulting statistical analysis. Typically, students learn the proper error terms for testing factors of a split-plot design via "expected…

Child performance data collected frequently in natural settings are important for monitoring progress toward short-term and long-term goals and are an essential component of instruction designed to improve outcomes for children. Organizing child performance data into graphic displays can promote the systematic use of data in educational decision…

The present study examined the effects of manipulation of two graphing conventions on judgements of time-series data by novice raters. These conventions involved the presence of phase change lines between baseline and intervention data and whether data points across phase changes were connected. The 1990 study of Matyas and Greenwood was also…

Piecewise linear functions and story graphs are concepts usually associated with algebra, but in the authors' classroom, they found success teaching this topic in a distinctly geometrical manner. The focus of the approach was less on learning geometric concepts and more on using spatial and kinetic reasoning. It not only supports the learning of…

The purpose of this article is to present two very active applied modeling projects that were successfully implemented in a first semester calculus course at Hollins University. The first project uses a logistic equation to model the spread of a new disease such as swine flu. The second project is a human take on the popular article "Do Dogs Know…

Making time for science is a genuine complaint among classroom teachers. As a former fifth-grade teacher and district curriculum coordinator, the author's moment of truth came one morning while juggling classroom housekeeping tasks. Her students were set to work on their "bell work," which consisted of some type of assignment that required little…

The graphics-decoding proficiency (G-DP) instrument was developed as a screening test for the purpose of measuring students' (aged 8-11 years) capacity to solve graphics-based mathematics tasks. These tasks include number lines, column graphs, maps and pie charts. The instrument was developed within a theoretical framework which highlights the…

This study evaluated the effectiveness of high school tutors' implementation of "Great Leaps Reading" (Campbell, 1998), a reading fluency supplementary instructional program. The program consists of three sections: phonics, sight word phrases, and story passages. Daily 15-minute tutoring sessions involved repeated 1-minute timings of…