A key note, the topic can be changed to whatever suits the writer. Please just let me know what mathematical research you pick.
The purpose of the IA is to develop students’ mathematical investigation and problem-solving skills, as well as their ability to communicate mathematical ideas effectively. Through the IA, students are encouraged to apply mathematical concepts, techniques, and reasoning to real-world situations or abstract mathematical problems.
The IA typically consists of four main sections: Introduction, Exploration, Conclusion, and Reflection. In the Introduction, students provide an overview of the topic they have chosen and explain the motivation behind their investigation. The Exploration section involves the core analysis of the mathematical problem or scenario, where students demonstrate their understanding of relevant mathematical concepts and techniques. This may involve mathematical modeling, data analysis, or proof-based approaches, depending on the chosen topic.
The Conclusion section summarizes the findings of the investigation and evaluates the mathematical methods used. Students should draw appropriate conclusions based on their analysis and address any limitations or areas of further exploration. Finally, in the Reflection section, students reflect on the mathematical processes they have used, discuss challenges encountered during the investigation, and consider the significance and applications of their findings.
Attatched below is a markscheme. Please let me know if you require further details.