The Slides can be downloaded by clicking at the title, i.e., Number Theory. Some of the slides are not available yet as I am still updating them. To fully implement the curriculum, daily practices and unit tests are also necessary. I am presently writing workbooks, but it may take years to finish. Should you require additional slides or wish to provide suggestions, please don’t hesitate to reach out via email at myinness@gmail.com.
This curriculum is built upon the foundation of the Shanghai Middle School Mathematics syllabus (Grades 6 to 9), while incorporating the strengths of the US Common Core Standards. By combining elements from both educational systems, this curriculum aims to provide a comprehensive and enriched learning experience. Drawing inspiration from Shanghai Mathematics, the curriculum places significant emphasis on rigorous Euclidean geometry, particularly geometric proofs. Geometry can enhance students’ spatial reasoning and deductive abilities, which are pivotal for their future pursuits in STEM fields at the college level. In contrast to their proficiency in geometry and algebra, Shanghai students have demonstrated relatively weaker performance in statistics, as highlighted by PISA assessments. In response, this curriculum aligns with the US Common Core Standards to address this gap by going beyond the scope of traditional Shanghai mathematics, offering a more extensive and comprehensive treatment of these subjects. The aim is to equip students with an initial sense in data analysis. Additional advantages of the curriculum include leveraging visualization techniques for solving equation and function, fostering adeptness in algebraic manipulation, and facilitating discussions across diverse problem-solving scenarios. These features are thoughtfully showcased in the accompanying slides.
In my teaching approaches, I focus on nurturing students to inquire, explore, think, and apply mathematics theorems and skills. Through these methods, I’ve observed notable advancements in students’ mathematical cognition and creative thinking. My dedication extends to researching innovative teaching strategies that effectively foster higher-order and advanced cognitive thinking skills.
Sample Videos