[Python] Cannot switch Python with pyenv

I would like to use pyenv to switch python2 and python3. I successfully downloaded python2 and python3 and pyenv with following code.

brew install pyenv
brew install pyenv-virtualenv
pyenv install 2.7.10
pyenv install 3.5.0


However, I cannot switch from python2 to python3:

$ python --version
Python 2.7.10
$ pyenv global
2.7.10
$ pyenv versions
system
* 2.7.10 (set by /Users/Soma/.pyenv/version)
3.5.0
$ pyenv global 3.5.0
$ pyenv global
3.5.0
$ pyenv versions
system
2.7.10
* 3.5.0 (set by /Users/Soma/.pyenv/version)
$ python --version
Python 2.7.10


I do not understand why this happens. My python is still in this directory.

$ which python
/usr/bin/python


How do I switch to python3 correctly?

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