Mathematics teacher professional-development (PD) programs based on Cognitively Guided Instruction (CGI) have been developed and implemented with tens of thousands of elementary mathematics teachers worldwide since the 1980s. Starting with a focus on addition and subtraction on whole numbers in the first CGI PD program, the content of these…

This study addressed the problem of why students with learning disabilities in mathematics too often fail to develop multiplicative and divisional concepts/operations. We conducted a constructivist teaching experiment with 12 students (nine 5th and three 4th graders). This report focuses on three students' conceptual progress, particularly on…

The purpose of this paper is to share the results of a six-week research project (after baseline data was collected) that focused on three different strategies (flashcards, interactive games, and music) and their effectiveness in helping fifth grade students memorize the basic multiplication facts. Many teachers face a serious problem when their…