This article describes how a teacher orchestrated a productive mathematics discussion to draw out mathematical knowledge and connect different areas of mathematics following a geometric sequences task. Whenever teachers succeed to engage their students in producing mathematics, it is advantageous for their moves to be analysed, discerned and…

The purpose of the current article is to test and revise the hypothetical learning trajectory designed for teaching quadrilaterals by reporting the classroom mathematical practices emerged in a social learning environment developing preservice middle school mathematics teachers' understanding of quadrilaterals. Ten preservice teachers participated…

Researchers at the Center for the Study of Curriculum at Michigan State University have developed a tool to help teachers implement the Common Core State Standards in mathematics by letting standards, not textbooks, guide their instruction. Using the web-based Textbook Navigator/Journal, teachers can pick a standard and ask which portions of the…

This article presents the "concrete semiconcrete abstract" (CSA) teaching sequence for teaching basic math skills to students with and without learning disabilities. Guidelines include providing a minimum of nine instructional lessons (three at each level), each with four lesson steps. Validation of the CSA sequence and lesson format with 15…

This guide has been designed for use in teaching study skills to elementary school students, kindergarten through grade six. It contains lessons developed and refined over a three-year period in the skills areas of listening, scheduling and task analysis, memory, notetaking, and using a textbook. Each skills area is developed in the context of a…

This guide has been designed for use in teaching study skills to junior high school students, grades seven through nine. It contains lessons developed and refined over a three-year period in the skills areas of listening, scheduling and task analysis, memory, notetaking, and using a textbook. Each skills area is developed in the context of a…

This guide has been designed for use in teaching study skills to high school students, grades ten through twelve. It contains lessons developed and refined over a three-year period in the skills areas of listening, scheduling and task analysis, memory, notetaking, and using a textbook. Each skills area is developed in the context of a kindergarten…