This article describes a student-oriented classroom activity for exploring polynomials. In this activity teacher candidates apply technology to explore mathematics that they will teach but that they have not studied since high school. (Contains 10 figures.)

Solving indeterminate algebraic equations in integers is a classic topic in the mathematics curricula across grades. At the undergraduate level, the study of solutions of non-linear equations of this kind can be motivated by the use of technology. This article shows how the unity of geometric contextualization and spreadsheet-based amplification…

This article details the application of an economic theory to the fiscal operation of a small engineering consulting firm. Nobel Prize-winning economist Wassily Leontief developed his general input-output economic theory in the mid-twentieth century to describe the flow of goods and services in the U.S. economy. We use one mathematical model that…

In this 15-week study the effects of motivational email messages on learner self-efficacy and achievement in an asynchronous math course were investigated. A repeated measures design was used. One hundred, ninety-six participants were randomly assigned to control and experimental groups. Specially designed email messages were sent weekly to both…

This paper reports on a project to improve Beginning Algebra students' understanding of basic algebraic concepts through fully integrated use of the TI-83 graphing calculator. The methodology incorporated an intervention case study including approximately 700 Beginning Algebra students at an open-door community college of 8,500 students in the…

This article describes one seventh-grade teacher's classroom efforts to integrate traditional exercises from different content areas to form more robust questions that provide genuine problem-solving opportunities for students. These exercises are illustrated by connecting the Pythagorean theorem with a variety of prealgebra topics. Since the…

Students explore the Pythagorean theorem and an extension using jelly beans to measure areas. Deductive thinking and algebraic notation help establish connections. (Contains 8 figures.)

Using sticky notes and number lines, a hands-on activity is shared that anchors initial student thinking about absolute value. The initial point of reference should help students successfully evaluate numeric problems involving absolute value. They should also be able to solve absolute value equations and inequalities that are typically found in…

To investigate whether games may serve as useful formative assessment environments, this study examined, experimentally, the effects of two aspects of formative assessment on math achievement, game play, and help-seeking behaviors: (a) making assessment criteria explicit through the explanation of scoring rules and (b) incentivizing the use of…

This dissertation involved a series of training sessions where parents from a Title I middle school participated in the learning and practice of Algebra Readiness skills. The project was based on a series of six weekly trainings for parents to learn home-based activities to increase their child's Algebra Readiness. I administered an initial…

In this paper the augmentation of worked examples with animations for teaching problem-solving skills in mathematics is advocated as an effective instructional method. First, in a cognitive task analysis different knowledge prerequisites are identified for solving mathematical word problems. Second, it is argued that so called hybrid animations…

The study focused on the relationship of English proficiency and math performance in a sample of high school students, including 47% English language learners (ELLs). Data sources included state math test scores, study-specific pre- and posttest scores, problem solving in an online math tutorial, and responses to a self-report assessment of…

Much like the shifting landscape in K-12 educational technology, this year's "Technology Counts" issue is changing to address the challenges of covering schools in the digital age. The 2010 report does not issue state report cards or state policy reports. Instead, the report takes a more district- and school-level look at educational…

In the Netherlands, as in many other countries, the algebraic expertise of students graduating from secondary education is an issue. The use of digital tools for algebra education is expected to change epistemologies, activity structures and student achievement. Therefore, a study was set up to investigate in what way the use of ICT in upper…

This article presents lesson plans that use downloadable spreadsheet tools that relate symbolic and graphical representations of functions. Instructions and a template allow readers to create personalized tools without programming. (Contains 14 figures.)