This case study is based on qualitative research carried out with four 4-year-old children attending a kindergarten in Malta. The aim of the study was to first observe children playing without adult intervention to see if, and how, they would engage with mathematical ideas as they played. In the second part of the study, I interacted with the…

Discourse analysis usually focuses on oral discourse, what people say within a classroom setting. The goal of this study was to show that methodologies that would normally be used in English/language arts classes could also be used in mathematics classes. In this case study, the basic methods of discourse analysis are used to examine adolescents'…

This fourth book in the Mathematics Recovery series equips teachers with detailed pedagogical knowledge and resources for teaching number to 7 to 11-year olds. Drawing on extensive programs of research, curriculum development, and teacher development, the book offers a coherent, up-to-date approach emphasizing computational fluency and the…

This second edition of the bestselling book "The Young Child and Mathematics" reflects recent developments in math education in a wealth of vignettes from classrooms, activity ideas, and strategies for teaching young children about math processes and concepts. Using standards and guidelines from the National Council of Teachers of Mathematics…

Two different numerical methods, the bisection method and simple iteration, are discussed and illustrated by approximating the real solution of an equation, with programs for the two methods included. Alternative methods are also indicated. (MNS)

This presentation was presented at the 2011 National Conference on Student Assessment (CCSSO). The focus of this presentation is how to validate the common core state standards (CCSS) in math and ELA and the subsequent assessments that will be developed by state consortia. The CCSS specify the skills students need to be ready for post-secondary…

Brief articles on producing videotapes of the execution of a program on a microcomputer, an illustration of the sums of numbers and squares, and the distance from a point to a line are included. (MNS)

The development of symbolic computer algebra designed to manipulate abstract mathematical expressions is discussed. The ability of this software to mimic the standard patterns of human problem solving represents a major advance toward "true" artificial intelligence. (MP)

Using this four CD-ROM disc set, teachers can have their very own math problem solving mentor as a leading expert in Singapore Math guides them through a lively presentation, working through math problems and explaining how Singapore has become the world's leading method in math. The expert's explanation of how to use Singapore's model-drawing…

[Slides] presented at the American Educational Research Association (AERA) in 2009. This study investigated the presence of a general rise in high school grades without a corresponding rise in SAT scores, as well as different grading criteria between schools, as shown by differential relationships between AP course grades and exam scores. These…

The 2006 NCTM Sixty-eighth Yearbook focuses on students' and teachers' learning in statistics centered on a set of activities. Topics include the relation between mathematics and statistics, the development and enrichment of mathematical concepts through the use of statistics, and a discussion of the research related to teaching and learning…

A program that can reduce difficult integration problems to simpler approximations using the trapezoidal rule to approximate the area under a curve is presented. (MP)

This videotape records the stories of 7 scientists, 3 women and 4 men who range in age from 33 to 81. Beginning with their earliest scientific questions and including their most personal ponderings, the scientists reveal their histories and professional obligations to affect the world. Director Michael Apted allows the personal adventures of the…

This set of six videotapes and a teacher's guide follows an interdisciplinary approach and integrates science, mathematics, and writing. The teacher's guide accompanies the videotapes. Six lessons include: (1) "Rotation Duration," which explores the time that it takes for the Moon to go around the Earth and studies the common Moon…

The major intent of this project was to design microcomputer lessons utilizing the unique features of computers to teach a high school mathematics topic. After reviewing the literature, it was decided to write a series of three tutorial lessons for a class in high school trigonometry which would present the concepts of amplitude, period, phase…