This article discusses the algorithm for multiplication that is referred to as lattice multiplication. Evidence of how the author's preservice students' conceptual understanding of the algorithm grew through the semester is given. In addition, the author extends the conceptualization of the algorithm from the multiplication of whole numbers to the…

This work addresses the subject of mathematics education at secondary schools from a current and stimulating point of view intimately related to computational science. Cryptology is a captivating way of introducing into the classroom different mathematical subjects such as functions, matrices, modular arithmetic, combinatorics, equations,…

The Bill and Melinda Gates Foundation has invested in the development and dissemination of high-quality formative assessment tools to support teachers' incorporation of the Core Common State Standards (CCSS) into their classroom instruction. Lessons from the first generation of standards-based reforms suggest that intense attention to high quality…

The Problems of the Week (PoWs) are creative, non-routine math challenges for elementary-, middle-, and high-school-level students. They are designed to stimulate student interest in problem solving and to encourage them to communicate their mathematical thinking. This Teacher's Guide describes program features and provides strategies for…

Florida International University's Center for Urban Education and Innovation in the College of Education and the Algebra Project have created a model for accelerated learning for disenfranchised children. The program includes mathematics instruction using university researchers in high school classrooms, supplemented with after-school enhanced…

Previous research (e.g., Woodward & Baxter, 1997) found that Standards-based mathematics teaching provides marginal or no benefits for low achievers, in contrast with positive effects for middle and high ability students. A randomized quasi-experiment in 52 Canadian schools found that low achieving grade 7 and 8 students who received support…

This volume is a teacher's edition in a series of books that contain open-ended exploration activities and experiments. These activities allow and encourage students to set their own goals, use their own creativity and ideas, investigate the wonders of nature, learn about the workings of real businesses, and draw conclusions from their…

Lower-level mathematics courses often become a dead-end for mathematics course-taking among low-achieving students. However, several new upgraded mathematics courses reflecting emerging standards in mathematics are improving students' chances of taking college preparatory mathematics and raising student achievement. California and New York have…

This qualitative research investigated the effect of a homework model designed to develop students' problem solving behaviors by advancing their ownership of understanding and responsibility. Students were expected to be active learners by isolating and communicating points of homework confusion. The teachers in this study provided feedback…

This paper reports on a small scale evaluation study of a staff development project for high school mathematics teachers that focused on new curriculum, updating pedagogy, and examining issues of equity. After 2 years of the project, interviews were conducted with five previous participants who had varying amounts of staff development. Interview…

The purpose of this study was to evaluate the effects of manipulatives on student achievement in a high school Algebra I class. The study was conducted during the third nine weeks grading period in the spring of 1997 at a high school in Lewisburg, West Virginia. The study groups used in the study were two Algebra I classes. One class had an…

This document lists mathematics objectives for Boston high school students. All objectives are presented in two columns. The left-hand column states each objective in general terms and gives an idea of its scope. The right-hand column gives a specific example of what students should be able to do when the objective is achieved. Objectives are…

Using license plates to generate random number pairs, students can calculate an approximate value for pi. The author views this approach as easier to understand than Buffon's needle. (SD)

An activity involving comparison of boxes constructed is described. (SD)

The teaching method described uses aids to students' memories. Research showing the effectiveness of the method is reported. (SD)