Educational video games provide an opportunity for students to interact with and explore complex representations of academic content and allow for the examination of problem-solving strategies and mistakes that can be difficult to capture in more traditional environments. However, data from such games are notoriously difficult to analyze. This…

Since the mid-20th century, the standard U.S. high school and college math curriculum has been based on two years of algebra and a year of geometry, preparing students to take classes in pre-calculus followed by calculus. Students' math pursuits have been differentiated primarily by how far or how rapidly they proceed along a clearly defined…

In the deconstruction of the California state standards for trigonometry, linear algebra and mathematical analysis for the Cal-PASS (California Partnership for Achieving Student Success) Content Standards Deconstruction projects, it became apparent that terms were used for which no definition was given. The San Diego Central Cal-PASS Math…

This study analyzes the learning expectations related to grades 1-8 algebra across several U.S. states and high performing TIMSS Asian countries and regions, including Singapore, Taiwan and Japan. In order to narrow and focus the investigation, only one topic within the strand is carefully reported. Based on the official curriculum documents,…

In California, Algebra I is the 8th grade math content standard. The United States Department of Education found the annual 8th grade General Math California Standards Test to be out of compliance with the federal No Child Left Behind Act of 2001 since it assesses 6th and 7th grade math standards and not Algebra I math content. In response to the…

THIS INSTRUCTIONAL GUIDE WAS WRITTEN TO PROVIDE ASSISTANCE TO TEACHERS IN DEVELOPING THE BASIC CONCEPTS AND SKILLS OF ELEMENTARY ALGEBRA. THE CONTENT FOR EACH UNIT INCLUDES GOALS, A SEQUENTIAL DEVELOPMENT OF THE UNIT, AND SPECIFIC TEACHING SUGGESTIONS. THE TABLE OF CONTENTS FOR THE COURSE IS A DUPLICATION OF THE TABLE IN DOLCIANI, BERMAN, AND…

This book is intended for everyone in California concerned about how well students are prepared for college. It describes the competencies in mathematics necessary for success in college and university work. This statement discusses the following: (1) an emphasis on encouraging students to experience the beauty and fascination of mathematics; (2)…