In Realistic Mathematics Education (RME), students should reach formal mathematics knowledge and explore mathematics based on their informal knowledge. The problems chosen in the exploration process should apply mathematics to real-life situations and be suitable for students to explore and create mathematical structures. In the current study, the…

This study provides a partial-credit scoring (PCS) approach to awarding students' performance on multiple-choice items in science education. The approach is built on "fundamental ideas," the critical pieces of students' understanding and knowledge to solve science problems. We link each option of the items to several specific fundamental…

This report describes a program for improving retention of essential concepts exhibited by junior high and high school students. The purpose of the study was to increase cognitive retention in order to increase student success. The target sample consisted of junior high students in the seventh grade and high school students in grades nine through…

An account was tested of the development of the interplay between automatic processes and cognitive resources in reading. According to compensatory-encoding theory, with advancing skill, readers increasingly keep automatic processes from faltering and provide timely, accurate data to working memory by pausing, looking back, rereading, and…

Given its important role in mathematics as well as its role as a gatekeeper to future educational and employment opportunities, algebra has become a focal point of both reform and research efforts in mathematics education. Understanding and using algebra is dependent on understanding a number of fundamental concepts, one of which is the concept of…