In today's world, where the volume of knowledge everyone must deal with is increasing exponentially, many educators agree that schools must focus on developing skills for life-long learning. But what does that mean for an area such as algebra? Teachers' goal in school algebra should be to guide students to "work smarter" with algebraic symbols and…

In commemoration of the 100th volume of the "Mathematics Teacher," the Editorial Panel of "Teaching Children Mathematics" invited the author to read and reflect on an article published in "MT" in 1912. Her article compares the current approach to number and algebra content to that presented by Shipley. In addition, the article discusses the change…

Montgomery County Public Schools (MCPS) "Special Education at a Glance," which includes a copy of the "Guide to Planning and Assessing School-Based Special Education Programs," provides in a single document, information about the special education population at each Montgomery County (Maryland) public school, including…

The 2013 edition of the "Annual Condition of Education Report" provides a rich tapestry of information about Iowa's education system. The data presented in the report examines longitudinal trends about Iowa's students, teachers, and schools from many perspectives. Information such as demographic characteristics, assessment results,…

This report examined the implementation of Foundations of Algebra, a course designed to provide high school students with low mathematics performance an extra opportunity to review and study foundational mathematics concepts prior to enrolling in Introductory Mathematics and subsequently Algebra I. In the fall of 2009, 877 high school students…

In California, the typical college-prep course sequence in math includes Algebra I, Geometry, and Algebra II. Students advance through these courses at different rates. A number of students proceed at a quick pace, with some completing Algebra II by the end of 10th grade and a few even earlier. At the other end of the spectrum, some students…

This proceedings volume of InCoTEPD 2018 covers many ideas for handling a wide variety of challenging issues in the field of education. The outstanding ideas dealing with these issues result in innovation of the system. There are many innovation strategies resulting from recent research that are discussed in this book. These strategies will become…

The purpose of this research is to examine the connections between self-efficacy beliefs about mathematics and participation. The sample for this study (n = 16) was purposefully selected from two Algebra I classrooms in a Midwestern high school. From the 16 target participants, eight were female and eight were male. The focus of the study was the…

The objective of the present investigation was to compare the adequacy of two cognitive models for predicting examinee performance on a sample of algebra I and II items from the March 2005 administration of the SAT[TM]. The two models included one generated from verbal reports provided by 21 examinees as they solved the SAT[TM] items, and the…

This article describes the goals of a capstone course for secondary preservice mathematics teachers and how those goals are achieved. Moreover, student reaction to the course will be examined.

Teacher research--often called "action research"--is an intentional and systematic inquiry into one's own classroom practice with the goal of improved student learning (Cochran-Smith and Lytle 1993). In this article, the authors present a teacher research project undertaken to improve student understanding of the gas laws in a high…

The NCTM calls for the use of rich tasks that encourage students to apply their own reasoning to problem situations. When students work through algebraic generalization tasks, their reasoning often elicits a variety of strategies (Lannin 2003; Stacey 1989; Swafford and Langrall 2000). Challenges for teachers include facilitating student awareness…

In this experimental study, use of Computer Assisted Instruction (CAI) followed by use of an Intelligent Tutoring System (CAI+ITS) was compared to the use of CAI (CAI only) in tutoring students on the topic of Algebraic Expression. Two groups of students participated in the study. One group of 32 students studied algebraic expression in a CAI…

"Focus on Basics" is a publication of the US Division of World Education, Inc. It presents best practices, current research on adult learning and literacy, and how research is used by adult basic education teachers, counselors, program administrators, and policymakers. "Focus on Basics" is dedicated to connecting research with…

Pedagogical maps provide a graphic depiction of the way in which teachers exploit the presence of Computer Algebra Systems (CAS) in their classrooms. They can show differences, and can also show growth, as well as personal preferences and reactions to particular teaching assignments. They might also be used for teachers to reflect on their own…