Purpose: The purpose of this qualitative phenomenological study was to identify and describe effective instructional strategies for English language arts and mathematics perceived by expert fourth and fifth grade elementary teachers in southern California to reduce the achievement gap in high poverty and high English language learner (ELL)…

This study examines the impact of Learning and Teaching Linear Functions (LTLF) professional development materials on teachers' mathematics understanding and teaching practices, as well as students' resulting algebra proficiency, learning, and achievement. Learning and Teaching Linear Functions are modular, video-based professional development…

This article examines the relationship between the mathematical knowledge of 438 K-8 California teachers and the demographics of the schools in which they work. To measure mathematical knowledge, we used a series of multiple-choice problems meant to represent both the content teachers teach and the specialized knowledge of mathematics that…

This paper provides a summary of the authors' attempts to uncover links between their measures, classroom mathematics instruction, and student learning. This paper also provides evidence regarding one central critique of their measures: that multiple-choice assessments cannot validly represent the knowledge, skills, and judgment involved in actual…