Fostering students' bidirectional conception of the equal sign (viewing the equal sign as indicating an equivalence of two sides rather than a 'show result' symbol) is challenging, and students' misconception of the equal sign is persistent. Some studies mention that in China, the pedagogical approach to introducing the equal sign supports…

This study aims to investigate the perspectives of primary school teachers in South Africa, who participated in a "Lesson Study" (LS) project, on this professional development process and about their professional learning. The study followed a mixed approach, with data collected through a questionnaire, followed up by interviews. A novel…

This study is concerned with how teachers use data about students' ideas in science, elicited from embedded formative assessment probes, to make decisions about next steps in instruction. Since Black and Wiliam's (1998) seminal work on formative assessment, researchers and practitioners alike concerned themselves with formative assessment and its…

Researchers have extensively documented, and math teachers know from experience, that algebra is a "gatekeeper" to more advanced mathematical topics. Students must have a strong understanding of fundamental algebraic concepts to be successful in later mathematics courses. Unfortunately, algebraic misconceptions that students may form or…

In order to initiate and maintain meaningful interaction in a young learner L2 classroom, an adult teacher needs to approach children in ways consistent with their developmental profile and adjust teaching methodology so as to accommodate young learners' current skills. This requires the ability to predict the child's possible responses to…