This paper examines various cognitive strategies applied while CAS (Computer Algebra System) are used in undergraduate-level engineering mathematics teaching and learning. We posed some questions in relation to such CAS use: What kind of tools can CAS offer to enhance different cognitive strategies of students? How can the use of CAS widen the…

The aims of the project described in this paper are threefold. Firstly, the authors aim to examine how "GeoGebra", an open-source dynamic mathematics software application, can be used successfully for mathematics teaching in interactive whiteboard (IWB)-equipped teaching environments. Secondly, they intend to uncover how professional…

The translation principle allows students to solve problems in different branches of mathematics and thus to develop connectedness in their mathematical knowledge. Successful application of the translation principle depends on the classroom mathematical norms for the development of discussions and the comparison of different solutions to one…

Evolving technology has played an important part in a common quadratic-function lesson. Having been mentioned repeatedly in numerous reform documents, a recurring lesson has involved changing the parameters in f(x) = ax[superscript 2] + bx + c and studying the effects on the graph. In both NCTM Yearbooks and NCTM Standards documents, technology is…

This study compared traditional and distance education delivery platforms (onsite, hybrid, and online) at the college level in an urban setting in terms of student success, measured by final course grades and identified predictors of student success. The study examined the role of variables (prior knowledge of mathematics, language, gender,…

Number Concepts; Measurement; Geometry; Probability; Statistics; and Patterns, Functions and Algebra. Procedural Errors were further categorized into the following content categories: Computation; Measurement; Statistics; and Patterns, Functions, and Algebra. The results of the analysis showed the main sources of error for 6th, 7th, and 8th…

In-depth analyses of six elementary mathematics classrooms (with varying student achievement) captured student and teacher interactions and documented the critical role of teacher follow-up in shaping opportunities for low-income students of color to engage in algebraic reasoning. This paper details the efforts of teachers as they, contrary to…

In 1999, Richard Lee Colvin published an article in "The School Administrator" titled "Math Wars: Tradition vs. Real-World Applications" that described the pendulum swing of mathematics education reform. On one side are those who advocate for computational fluency, with a step-by-step emphasis on numbers and skills and the…

Moodle is an extended learning management system for developing learning units, including mathematically-based subjects. A wide variety of material can be developed in Moodle which contains facilities for forums, questionnaires, lessons, tasks, wikis, glossaries and chats. Therefore, the Moodle platform provides a meeting point for those working…

The purpose of this study was to investigate the preservice secondary mathematics teachers' development of pedagogical understanding in the teaching of modular arithmetic problems. Data sources included, written assignments, interview transcripts and filed notes. Using case study and action research approaches cases of three preservice teachers…

This study is a validity study of the National Assessment of Educational Progress (NAEP), intended to test the adequacy of NAEP for detecting and monitoring the effects of mathematics education reform. The current study design was intended to support a comparison of the relative effectiveness of three different types of large-scale…

All states have authorized alternatives to traditional teacher preparation programs, and many allow school districts to hire noncertified instructors. Broadening access to teaching has increased the number of available teachers, but the effects on student learning are debatable. This article discusses the research on certification and student…

It has been said that pragmatism's "merely instrumental" truths fail to motivate radical change whereas absolute ideals make excellent guiding and driving forces for justice. However, in "Radical Equations: Math Literacy and Civil Rights," Robert Moses speaks of the radical success of pragmatic principles, used in the Civil Rights Movement, that…

Many high-school mathematics teachers have likely been asked by a student, "Why does the cross-multiplication algorithm work?" It is a commonly used algorithm when dealing with proportion problems, conversion of units, or fractional linear equations. For most teachers, the explanation usually involves the idea of finding a common denominator--one…

The author offers innovative approaches to 3 topics that are typically only briefly mentioned (if at all) in money and banking courses. The first topic is a Treasury bill auction experiment in which students have an opportunity to participate directly. The results from a class of 14 money and banking students are used to explain how an instructor…