Your bootstrap project sometimes does not work well with IE8. You may need this collection of development tools to fix your project. Also these tools can make your life much easier to solve ie compatibility issues.
"ECMAScript 5 compatibility shims for legacy JavaScript engines."
You need this because some jQuery plugins may use some code which are not supported by IE8 javascript engine.
"Browser console polyfill. Makes it safe to do console.log()-s etc always."
"Enable use of HTML5 sectioning elements in legacy Internet Explorer."
"A fast & lightweight polyfill for min/max-width CSS3 Media Queries (for IE 6-8, and more)"
If you need Bootstrap works properly under IE8
If you use bower, you can just run
bower install bootstrap-ie8
to get the latest the dependencies.
Please check index.html.