This article is about the students' investigation about the relationship between the diameter of the view tubes (x) of constant lengths and the viewable vertical distance (y) on the wall while keeping the perpendicular distance from the eyeball to the wall constant. The students collected data and used and represented it in tabular and graphical…

The authors examined the effects of remedial mathematics on performance in university-level economics courses using a natural experiment. They studied exam results prior and subsequent to the implementation of a remedial mathematics course that was compulsory for a subset of students and unavailable for the others, controlling for background…

An exploratory research approach is used to characterize the experience of two second year high school mathematics teachers in their teacher preparation programs: one graduated from a four-year undergraduate program while the other graduated from a fifth-year masters program. The two main forms of data collection included interviews and document…

In this study, I examine the role of dynamic geometry software (DGS) in curricular proof tasks. I investigated seven US high school geometry textbooks that were categorised into three groups: technology-intensive, standards-based, and traditional curricula. I looked at the frequency and purpose of DGS use in these textbooks. In addition, I…

A Computer Based Education (CBE) program for intervention mathematics was developed, used, and modified over a period of three years in a computer lab at an Arizona Title I middle school. The program is described along with a rationale for the need, design, and use of such a program. Data was collected in the third year and results of the program…

The effectiveness of a pentop computer when teaching multiplication facts to three middle school students with mild intellectual disabilities was examined. A multiple probe design was used to assess the students learning of one and two digit multiplication facts over a 2-3 week intervention period. During the intervention phase, students used a…

This article describes several enrichment activities that connect mathematics to science in an algebra 1 curriculum. It provides a basis and suggestions for teachers to include student-produced essays about the role of mathematics in the history of civilization. (Contains 6 figures and 1 table.)

This article describes how all students can apply the algebra skills they have learned to problem solving through investigation, along with different levels of proving the conjectures algebraically.

To support the implementation of the Common Core State Standards (CCSS), the Bill and Melinda Gates Foundation invested in the development and dissemination of two tools aimed at operationalizing classroom instruction based on the standards: (1) the Literacy Design Collaborative (LDC)'s Framework; and (2) the Math Design Collaborative (MDC)'s…

This collective case study analyzes the use of manipulatives in math lessons developed and taught by 4 groups of elementary teachers (K-8) involved in lesson study as part of a professional development program. The study found that in three of four lessons studied manipulative use was turned into an end in and of itself, rather than a tool, and…

Current pupils in Year 10 will not be required to submit any coursework as part of their General Certificate of Secondary Education (GCSE) mathematics examination. This development is quite problematic as the removal of the coursework element imply that teachers are incapable of accurately assessing their students' work. In this article, the…

When U.S. Secretary of Education Margaret Spelling announced in March the final report of the National Mathematics Advisory Panel, created by President Bush two years ago to address concerns that many students lack essential skills to become engineers and scientists, she highlighted the importance of algebra. "The panel's research showed that…

Metaphor and metonymy are two ways people make meaning; two ways they perform transformations between thought and language and within both thought and language. In St. Augustine's language these two processes could be pictured as vertical or horizontal movements either from the world of signs to "reality" or within the world of signs itself. In…

This article considers two small groups of students in the same Grade 8 mathematics classroom whose approaches to the same mathematical problem result in very different experiences. Using videotapes and written transcripts, an analysis of the groups' working processes was undertaken using Sawyer's pre-existing structures required for the presence…

This article investigates changes in gender differences evident in the performance of grade 8th grade students participating in the Trends in International Mathematics and Science Study (TIMSS) between 1995 and 2003. Gender specific results and patterns found in TIMSS 1995 were compared with later cycles of the study in order to address the…