Blog: One Math Problem, Many Solutions

Summary: This project addresses the need for a deeper understanding of mathematical concepts by examining problems that can be solved through multiple approaches. It proposes creating a blog or book that explores these problems, emphasizing the creative and interconnected nature of mathematics to engage high school students and develop their problem-solving skills.

Many math problems can be solved in several different ways (for example, there are many ways to compute the area of a circle or prove the pythagorean theorem). Create a book/blog where you discuss such problems, explore why multiple solutions exist to that problem (is it just by coincidence that the 3 different methods work, or is there a deep relationship between the two approaches?).

Why?

Allows for exploration of a lot of beautiful mathematical problems and solutions.
Emphasises the creative nature of math.
Helps develop a deeper understanding of the techniques and why they work.

I imagine that such a blog would generally focus on problems that are accessible to the high schooler (since that audience is more likely to be interested) but idk could cover harder deeper math problems too.

Related resources: Mathematical Circles (book), Brilliant.org daily challenges.

Source of Idea:

I ran a problem-solving programme at my high school, where we tried to curate problems that one could solve using many different ways (since that encouraged creativity, which is often missing in high school math curricula), but we weren’t able to find a good database of problems to choose from.

Skills Needed to Execute This Idea:

Content CreationMathematical Problem SolvingWriting SkillsResearch SkillsBlog ManagementAudience EngagementTeaching TechniquesCritical ThinkingCreative ThinkingData PresentationEditing SkillsDigital MarketingSocial Media Management

Categories:Content CreationMath

Hours To Execute (basic)

100 hours to execute minimal version ()

Hours to Execute (full)

750 hours to execute full idea ()

Estd No of Collaborators

1-10 Collaborators ()

Financial Potential

$0–1M Potential ()

Impact Breadth

Affects 100K-10M people ()

Impact Depth

Moderate Impact ()

Impact Positivity

Probably Helpful ()

Impact Duration

Impacts Lasts 1-3 Years ()

Uniqueness

Moderately Unique ()

Implementability

Somewhat Difficult to Implement ()

Plausibility

Reasonably Sound ()

Replicability

Easy to Replicate ()

Market Timing

Good Timing ()

Project Type

Content

Project idea submitted by u/rosesinhavana.