Arithmetic Sequences
2020.10.01 10:57 am - 11:40 am
Teaching point: How do we use the term formula for an arithmetic sequence?
Agenda
Agenda
Do now (5 minutes)
Do now (5 minutes)
TOK Connection (15 minutes)
TOK Connection (15 minutes)
Arithmetic Sequences (15 minutes)
Arithmetic Sequences (15 minutes)
Homework (5 minutes)
Homework (5 minutes)
TOK Connection
TOK Connection
As seen in the magnificent video by ViHart, the Fibonacci sequence is frequently occurring in nature. Observations like this have led to the knowledge question, ‘Does mathematics exist independent of human construction?’
As seen in the magnificent video by ViHart, the Fibonacci sequence is frequently occurring in nature. Observations like this have led to the knowledge question, ‘Does mathematics exist independent of human construction?’
In short, is mathematics ‘out there’ serving as the foundational fabric holding together our very elegant universe? Or alternatively, is mathematics created by humans in the same way that we have created language?
In short, is mathematics ‘out there’ serving as the foundational fabric holding together our very elegant universe? Or alternatively, is mathematics created by humans in the same way that we have created language?
These two competing views are referred to as, Platonism – the belief that mathematics exists independent of humanity and Formalism – the belief that mathematics is created by humanity.
These two competing views are referred to as, Platonism – the belief that mathematics exists independent of humanity and Formalism – the belief that mathematics is created by humanity.
Discuss arguments in favor of both Formalism and Platonism.
Discuss arguments in favor of both Formalism and Platonism.
Homework
Homework
Homework due tomorrow at the beginning of class tomorrow.
Homework due tomorrow at the beginning of class tomorrow.