Thanks for the note. We actually do have autocorrection and next word prediction built into the physical keyboard settings in Chromebooks! To enable this, navigate to Settings > Keyboard Settings then click on Change language and input settings. Then under the keyboard you have selected, press the Configure button.
Here is where you can set up autocorrection. Change the setting to "aggressive".
From there, as you type, if the computer has a suggestion for how to complete the word, an underline and little arrow will appear. You can use the down arrow to look through the various options, and press enter or space to select it.
You can also check the box for next word prediction and autocapitalization on this settings page.
I'd be very interested to hear your feedback!
Thanks!
Laura