Promoted Links web part is new in SharePoint 2013. It’s part of the Team Site functionality. Use this web part to highlight links on your page much like the Live Tiles look on Windows 8 and Windows Phone systems

Watch this video to find out the difference between closing a web part and deleting it.

This video demonstrates how you can attach a SharePoint Designer Workflow to a Data View web part. Doing this will let you execute a workflow on any item being displayed in the Data View web part.

Regular out of the box web parts can be used to create Parent and Child, Master and Detail relationships. This video shows how you can create these relationships by just using the browser and web part connections.

Summary Link Web Part ships only with MOSS and not available with WSS. When the built in Links list is not enough, look to the Summary Links web part to provide linked resources to your users. It provides a way to associate Pictures and Group links together. Also, a trivial but much needed functionality it provides is a way to open links in a new window.

List View web parts (LVWP) are used to show list data on SharePoint site pages. These can be customized using the browser or through SharePoint Designer. SharePoint Designer customizations to List View Web Parts are far more powerful than doing it through the browser. This video shows how you can thoroughly customize a LVWP to implement a customized view, searching capability and connecting one LVWP to another one on a different page.

Web Parts can be uploaded to the Web Part Gallery to make them available throughout the site collection. This screencast shows how you can take a Web Part file and publish it to the Web Part Gallery.

This video will show how a couple of web parts (Content Query Web Part and Site Aggregator Web Part) are used to roll up data from various SharePoint sites to display on one site

Use the Data View web part in SharePoint Designer to manage multiple list content. Connecting information from one list to another, passing parameters, editing data back in the list and more is covered in this video.

Content Editor Web Part (CEWP) is an extremely powerful web part to render rich text or embed script onto a page. Embedding javascript, vbscript or even styles for a web page is a snap using the CEWP. Watch this video to see examples of how you can use this web part in your environment.