Learning the melodies used in Shabbat davening can greatly improve the experience of public prayer. We are happy to provide links the following useful resources, which have recordings of various tunes used in Shabbat services (especially see Elizabeth Lerner's DIY Davening, which links to these and many more):
Leyning (Torah reading)
No need to carry a tikkun around with you any more - the Torah is now on-line! Try ScrollScraper to get side-by-side images of the Torah text with and without trope and vowels - currently you will need to know the beginning and ending verse for your aliyah, which you can get from HebCal by clicking on the right parashah. (Other on-line tikkunim include ORT - which has translation, transliteration, and is easy to navigate by aliyah - and Beverly Hills Chabad.) All of these websites include audio recordings of the chanting of the Torah - the ORT site also includes haftarot along with audio. For recordings of all aliyot, haftarot, and megillot, check out Rabbi Jeremy Wieder's website (click on "View all 637 Shiurim" and scroll down for Torah Reading). For a simple web version of the Hebrew text of a parashah without vowels, try the Mechon Mamre site. Looking for a particular parashah and its aliyah breakdown? Try HebCal, or see a full calendar with each parashah marked.
If you'd like to practice your leyning using the actual Torah that Cambridge Minyan usually uses, click here. The entire Torah has been photographed and uploaded as PDF files.
D’var torah (Teaching)
A d’var torah does not need to be long - ideally it should share a text that many people in the community will not already be familiar with, and offer insight based on that text in comparison to a verse in the week's Torah reading, or in connection with an upcoming holiday or other event. Many classic rabbinic texts can be found on-line: Rashi's commentary (in English) for example, is one of many resources that can be found on the Beit Midrash's Learning Links page, along with more modern commentaries like that of Nechama Leibovitz. For more general suggestions about preparing a d’var torah, see Do's and Don'ts by Rabbi Richard Israel.