The purpose of this article is to summarize the methodology and findings in the case studies of three student teachers in secondary school mathematics. The broad area of interest is the relationship between beliefs and practice. In the study, "beliefs" refers to expectations teachers have that students will be successful in learning with…

This study sought to determine the effect of the problem-solving approach on academic achievement of students in mathematics at the secondary level. The secondary school students studying mathematics constituted the population of this study. The students of 10th class of Government Pakistan Girls High School Rawalpindi were selected as a sample…

Reform in mathematics instruction at the college level has been slow to arrive (Dossey, Halvorson, & McCrone, 2008), and many institutions of higher learning still follow the calculus model, while fewer and fewer students need calculus for their chosen areas of study (Ganter & Barker, 2003). Instead, mathematics that is applicable and transferable…

This quantitative study examined the association between classroom instruction and students' attitudes towards mathematics at the secondary level. Data were collected through a Likert-type survey of Hope High School students and then analyzed for statistical significance by utilizing descriptive statistics, tests of significance, and correlation…

Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2009 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Florida's student achievement in mathematics. In…

Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2009 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for West Virginia's student achievement in reading. In…

Preparing preservice teachers to use technology appropriately in mathematics instruction is an important objective of mathematics teacher preparation programs. At Utah State University, this objective is addressed in a combined capstone mathematics and technology course. In this course, preservice teachers learn technology skills as they…

Innovations from the United States have often led the world to new discoveries and solutions to complex problems. However, there are alarming indications that the United States is falling behind other countries in the ability to apply science, technology, engineering, and math to complex problems facing our world. In order for the country to…

In a small-scale, 8-month teaching experiment, the author aimed to establish and maintain "mathematical caring relations" (MCRs) (Hackenberg, 2005c) with 4 6th-grade students. From a teacher's perspective, establishing MCRs involves holding the work of orchestrating mathematical learning for students together with an orientation to…

Stories that are presented through literature or popular media can be used to invite students into the world of math; stir their mathematical imaginations; and enhance their ability to read about, write about, and discuss math. This article explores how literature ("Flatland," the book and the movie) and an existing seventh-grade unit…

"We can never be sure that there is not some wild, untamed piece of mathematics ready to spring out on us... This is what keeps mathematics enchanting." This is how Jim Neyland, one of the contributing authors to this book, describes mathematics. His enthusiasm and energy are echoed throughout by many of the other writers. This is a book to…

A long-term project (2005-2012) was started to test the use of symbolic calculators (SCs) in Bavarian grammar schools (Germany) in Grade 10, 11 and 12. The results showed the necessity of having better diagnostics of the students' ability to understand the mathematics and their ability to work with the SC. How does a student understand particular…

Recently there have been several news items about possible cancer clusters in the Australian media. The term "cancer cluster" is used when an unusually large number of people in one geographic area, often a workplace, are diagnosed with cancer in a short space of time. In this paper the authors explore this important health issue using…

Emergency shelters for disaster relief are an ever present necessity. Anyone who has ever camped in a tent will understand that finding the perfect design, that will be simple and quick to erect, be stable in a variety of weather conditions, and will accommodate a number of people sleeping, sitting or even standing is not straightforward and…

In this article, the author describes an activity she has used with two different groups: (1) high attaining year 8 children; and (2) Secondary Mathematics PGCE students. In the activity they created what was, ostensibly, the same geometrical objects using paper folding, pencil, ruler and compasses, and the "Geometer's Sketchpad"--an example of…