This course aims to equip students with knowledge about the historical development of mathematics curriculum, current ideas and philosophy of mathematics curriculum reform around the world with a specific emphasis on mathematical core competences, the coherent curriculum/textbook structure of key topics in school mathematics, basic skills to do textbook analysis and the ability to identify important, difficult and key points for learning and teaching, and the skills to develop effective instructional resources to meet various needs accordingly. Modern mathematics education topics such as mathematical modelling, problem posing and mathematical culture will also be addressed to improve students’ understanding to these topics.

CILO-1: Articulate a basic understanding of the developmental history of mathematics curriculum (nationally and internationally) and the ideas, philosophy, and mathematical core competences of current mathematics curriculum worldwide. CILO-2: Conduct textbook analysis by identifying important, difficult and critical points within various mathematics topics for effective learning and teaching. CILO-3: Synthesize crucial school mathematics topics to create coherent structures for curriculum/textbook contents. CILO-4: Develop instructional resources effectively and flexibly to align with the ideas and philosophy of current mathematics curriculum reform. CILO-5: Design a small-scale experimental study to assess the effectiveness of a chosen textbook in a specific topic.