In 1767, Mr. Wheelock refers to him as an associate teacher, and "a dear youth, willing to do anything in his power" to aid him. The school is said to have been put on a college basis, in the matter of study, in 1768, with Mr. Woodward as tutor.

The following letter addressed to President Wheelock illustrates the versatile nature of his talents:

"Lebanon Sepr 6th 1770.

"Revd & hond Sir,

"Bingham arrived home well last week, and proposes to set out with two teams about the 18th Inst. We have all of us been endeavouring to expedite the removal ever since he came home—but I fear Madam will not be able to set out so soon. She with Miss Nabby propose to ride in the Post Chaise as soon as they can possibly be ready. Hutchinson is to drive it for them. The Scholars will likely the most of them foot it when Bingham goes. Abraham & Daniel seem to resent it that they in particular should be sat to drive the Cows the Doctor mentioned in his to me & the English Scholars be excused from it. I have not procured Cows as yet—we have all been doing & shall do every thing in our power. Madam is so weak that a little croud overcomes her, that she has her poor turns very often; tho' on the whole I hope she is on the mending hand. I fear the fatigue of preparing & the journey will be too much for her—be sure unless she takes both very leisurely—but God is able to support her. By the tenor of the Doctor's Letters I apprehend he has forgot my proposed Journey to the eastward, which I would neglect, and with vigor pursue the grand object, the removal; for I see need enough that every one who is able to do any thing towards preparing should be doubly active now. I see eno' & more than eno' that is important and necessary to be done, & I never had a greater disposition to exert myself in getting things forward—but I have had such a croud of affairs on my mind, & still have, & must have so long as I continue here, that my health is so much impaired, my constitution become so brittle, & my nerves so weak, that I am rendered entirely unfit for application to any business at present; & therefore that I may be fit for some kind of business the ensuing winter I am advised and think it highly expedient & neccessary that I take my Journey soon (before I am rendered unable to do it)—and Providence seems to point out my duty to set out to-morrow, tho' it is with the greatest reluctance that I do it, on accot of the need of help here, but I am unfit to do anything to purpose if I stay. Mr MacCluer will do all in his power, tho' he is obliged (agreeable to the Doctor's directions) to attend Co[=m]encement next week to collect Subscriptions—he'll do all he can before he goes, & after he returns—what is done must be done in a hurry and confusion, & what cannot be done must remain undone. We have been examining the Scholars this week (& find they make a pretty good appearance) besides which we have done all we could that I might leave affairs in the best manner. My present proposal is to go to Boston & settle affairs—thence to Salem & visit dear Doctor Whitaker—thence perhaps to Portsmouth—then either return & accompany Madam & Family to Cohos (which I think of doing if I can get back in season)—or go directly from Portsmouth to Cohos—in either case I hope to be with the Doctor within a month. I want much—I long to see you. I want to do more, much more than I am able, to assist in removing—but the wise Governor of the Universe seems to forbid my doing much. I desire to commit the conduct of affairs to him. I shall endeavour as far as I am able to comply with all the Dr desires in his letters—shall carry the letter to Mr Whitefield to Boston myself. I shall write to Mr Keen a general Sketch of affairs. I hope to be able when I see the Dr & the Trustees meet to be able to determine what to do the ensuing winter. This Parish have Mr Potter to preach next Sabbath & expect Mr Austin after that. Mr Austin is now asleep in your house. I expect Mr Wheelock will be at home the last of next week or beginning of week after. Mary & Cloe I expect will ride up in the Carts. Porter, Judson & Collins are to set out next Monday (at their desire) that they may assist in making preparation. School must (I think) unavoidably break up till they remove. Scholars have been much engaged in study (especially in the Art of Speaking) since the Doctor went away. If Scholars are engaged Instructors must be so too—and if Instructors are diligent and faithful, Scholars will make improvement. We cannot learn that the duty on tea is taken off; and I expect difficulty in disposing of Bills; but shall do the best I can. I have tho'ts of carrying a Set to Boston. Is it not best to desire Miss Zurviah [Sprague] not to engage herself in business 'till the Doctor's mind can be known respecting her going to Cohos—I know not where one can be had to supply her place (omnibus consideratio)—will the Dr write his mind respecting it in his next? I have many things to say; but it is now between 1 & 2 o'Clock in ye morning, and I find nature flags. I could get no other time to write. I have neither time nor strength to copy, therefore hope the Dr will excuse the scrawl from him who is with much duty & esteem Revd & hond Sir,

"Your obedient and humble Servt.

"Beza Woodward.

"N. B. Family are all asleep. Please give love to Ripley &c. &c.

The "Memoirs of Wheelock" contain the following paragraph relating to Professor Woodward:

"At the anniversary commencement of 1804, the Honorable Bezaleel Woodward, professor of Mathematics and Philosophy, departed this life. He had fulfilled the duties of a professor and Tutor from the foundation of the college. His profound knowledge of the abstruse and useful science of Mathematics, the facility of his instructions in natural and experimental Philosophy and Ethics, his condescending and amiable manners, will be long and gratefully remembered by those who have received the benefit of his instructions."