Learning path and learning progression have received extensive attention from broad disciplines. The existing research In the field of learning path is rarely applied in curriculum learning and teaching. Learning progression is usually constructed through observations, interviews but not quantitative analyses. With 726 Grade 8 students'…

More than a decade ago, the Trends in International Mathematics and Science Studies observed that teachers in the United States focused more on "high-interest activities" (games, dramatic presentations, humor, and so on) than on the development of challenging concepts. Since then, the authors have worked with many teaching teams to shift…