Student mathematical notebook of William Tudor, 1795

Notebook containing the handwritten mathematical exercises of William Tudor, kept in 1795 while he was an undergraduate at Harvard College. The volume contains rules, definitions, problems, drawings, and tables on geometry, trigonometry, surveying, calculating distances, sailing, and dialing. Some of the exercises are illustrated with hand-drawn diagrams. The Menusration of Heights and Distances section contains color drawings of buildings and trees, and some have been altered with notes in different hands and with humorous additions. For instance, a drawing of a tower was drawn into a figure titled “Egyptian Mummy.” Some of the images are identified: “A rude sketch of the Middlesex canal,” Genl Warren’s monument on Bunker Hill,” “Noddles Island,” “the fields of Elysium,” and the “Roxbury Canal.” The annotations and additional drawings are unattributed.

Mathematical notebook attributed to Thaddeus Mason Harris, ca. 1787

Hardcover notebook containing handwritten transcriptions of rules, cases, and examples from 18th century mathematical texts. The author and purpose of the volume is unclear, though it has been connected with Thaddeus Mason Harris (Harvard AB 1787). Most of the entries include questions and related answers, suggesting the notebook was used as a manuscript textbook and workbook. The extracts appear to be copied from John Dean's " Practical arithmetic" (published in 1756 and 1761), Daniel Fenning's "The young algebraist's companion" (published in multiple editions beginning in 1750), and Martin Clare's "Youth's introduction to trade and business" (extracts first included in 1748 edition).

Student notebook of Marston Cabot, ca. 1720-1735

This leather-bound volume contains excerpts copied by Marston Cabot from books he read while he was a student at Harvard in 1723. The volume includes extracts from Charles Morton's 1687 Compendium Physicae (titled "of Phisicks" by Cabot), Dr. Adriani Heereboord (Adrianus Heereboord), Philosophia Naturalis and Johanne-Henrico Alstedio’s (John Henry Alsted) geometry text Compendium Geometria. The excerpts from Compendium Geometria include both figures and text, primarily in Latin with some Greek. The volume also includes “Theses quaedam extractae potissimum ex Enchiridio Metaphysico Domini Johannis Clerici" a précis of Jean Le Clerc's Ontologia et Pneumatologia made by Jonathan Remington, a Harvard Tutor from 1703 to 1711, to serve in place of printed textbooks. The names Jonathan Jackson and Edward Jackson are written on the inside cover, suggesting the book may have been handed down to Edward Jackson (Class of 1726) and his son Jonathan Jackson (Class of 1761). The text of the volume is in Marston Cabot's hand.

The summary of a course of experimental lectures in natural philosophy by Dr. John Winthrop (manuscript copy), 1772-1774

Notebook with a handwritten copy of lecture summaries for a physics course given by Harvard Professor John Winthrop. The notes were made by Timothy Foster in 1772 and 1773. The volume contains twenty-five lectures with some diagrams.

A system of ethicks: Of morall phylosophy in generall & in speciall

This hardcover volume contains manuscript copies of Charles Morton's "A System of Ethicks," "Pneumatics. Or a treatise of the Rev'd Mr. Charles Morton about ye Nature of Spirit," "Appendix of the Souls of Brutes," "Some Theological Questions Answd," and a one-page list "Texts of Scripture to prove if ye head of Christ &c." copied by Harvard student Ebenezer Williams in February 1707/8.

Compendium physicæ ex authoribus extractum, 1714

Manuscript copy of Charles Morton’s Compendium Physicae prepared by copyist Robert Ward in 1714. The leather-bound volume includes text and drawings, and there is an index to the chapters of the book at the end of the volume. "Thomas Greaves's book Octob 1 Anno Salutis 1714" inscribed on flyleaf. Thomas Greaves may refer to the Charlestown physician and judge and member of the Harvard Class of 1703.

Philosophia naturalis ex authoribus extracta per dominum

This leather-bound volume contains a manuscript copy of Charles Morton’s Compendium Physicae copied by Harvard student Obadiah Ayer in 1708. The volume has text and drawings (including one large foldout drawing), and there is an index to the chapters at the end of the volume. Mather Byles (Harvard Class of 1725) also used the book.

Student notebook of Ebenezer Parkman, 1720

The small hardcover notebook contains a manuscript copy of Charles Morton's Natural Philosophy copied by student Ebenezer Parkman (Harvard Class of 1721) in 1720, as well as notes on Hebrew grammar. The flyleaf has a faded note, "[This copy] was probably made by Parkman H.U. 1721 afterward minister of Westboro." The title page of the volume includes the handwritten title "Phylosophia Natvralis: Naturall Philosophy, By the Reverd Mr. Charles Morton Pastor of a Church in Charles Town, Beegan [sic] to recite it December 11, 1720 Willm Brattle's Book 1720 ended January 30 Anno Domini 1720 [January 30, 1720/1721]." The final page of the transcription is signed and dated "June 18, 1720 Parkman." The last pages of the volume consist of notes on Hebrew Grammar titled "Instruction in Hebrew."

Student notebook of Jonathan Trumbull, 1724-1725

The bound notebook contains academic texts copied by Harvard student Jonathan Trumbull in 1724 and 1725. The volume includes transcriptions of Harvard Instructor Judah Monis' Hebrew Grammar, Tutor William Brattle's Compendium of Logic, and Fellow Charles Morton's Natural Logic.

An abridgment of what I extracted while an undergraduate at Harvard College, 1766-1769

The bound volume contains excerpts copied by Benjamin Wadsworth from books he read as a student at Harvard in the late 1760s. The volume includes almost no personal commentary on the readings. The excerpts are arranged by year of study for the academic years 1766-1769, beginning when Wadsworth was a sophomore. Each entry begins with a title indicating the book title and author for the passage, and there is an alphabetical index at the end of the volume. Wadsworth selected “extracts” from both religious and secular texts including several histories of England, American histories (with a focus on Puritans), the Bible, and in his senior year, “the Koran of Mohammed.” He also read several books on the art of speech and the art of preaching. There are few science texts included, though the final five-page entry is titled, “What I thought fit to note down from Mr. Winthrop’s experimental Lectures” and contains notes both on the content of Professor John Winthrop’s lectures as well as the types of experiments being performed in class. Wadsworth’s commonplace book offers a window on the state of higher education in the eighteenth century and offers a firsthand account of academic life at Harvard College.

Student notebook of John Tufts, 1705

Small vellum-covered notebook containing handwritten transcriptions copied by Harvard undergraduate John Tufts from two Harvard textbooks. The notebook is divided into two sections with the first, numbered 1-100, containing an English transcription of "Compendium of Logick" compiled by William Brattle, and the second, numbered 1-66, containing an untitled Latin transcription of Charles Morton's "Compendium Physicae." The flyleaf is inscribed "John Tufts His Book 1705."

Commonplace book of John Bullard, 1775-1779

This bound volume contains excerpts copied by Jonathan Bullard from books he read as a student at Harvard in the mid 1770s. Excerpts include an unattributed poem titled "On Friendship," which appeared in the "poetical essays" section of Volume 36 of the London Magazine in 1767; Joseph Butler, The Analogy of Religion, 1736; The Quaker's Grace; a history of England; Newton's laws; Plutarch's Morals; Benjamin Franklin's writings on the Aurora Borealis. The volume also includes several extracts from articles about the death of John Paddock (Class of 1776), who drowned in the Charles in the summer of 1773, sheet music for two songs, "The Rapture," and "A Song" from Henry Harington's "Damon and Chlora," and a transcription of the satirical "Book of Harvard," written in response to the Butter Rebellion of 1766. Interleaved in the middle of the volume is a transcription from an ecclesiastical event moderated by Ebenezer Bridge in Medford, Mass. on November 20, 1779. The variety of texts suggests the commonplace book was not used solely for academic works.

Commonplace book of Jonathan Belcher, 1725-1727

This leather-bound volume contains excerpts copied by Jonathan Belcher from books he read while he was a student at Harvard. The excerpts come from a variety of sources including periodicals and contemporary publications. The inside cover has Belcher's bookplate with the motto, "Sustine. Abstine." The back cover has some additional personal information including reference to French lessons with "Mr Law Merciers," and notes of the dates when he began certain books/essays.

Student notes of Elijah Dunbar, 1792-1793

Three unlined pages with notes written by Harvard undergraduate Elijah Dunbar. The documents consist of two pages of chemistry notes compiled in September 1792 when Dunbar was a junior and an undated, untitled list of theological themes. The chemistry notes include a summary of the discipline and a set of laws regarding the "affinity of composition." The verso of the second page was later annotated: "Borrow- He that discerneth Youth & Beau[ty] Elij. Dunar 2'd 1793. Rec'd David Tappan, Professor of Divinity in the University--Elijah Dunbar, jun." followed by a list of students identified as "Alchemists" in the "Ridiculous Society": Joseph Perkins, Isaac Braman, William Biglow, and Elijah Dunbar. The second document is an untitled list of 27 theological themes beginning "1. Doctrine of the Trinity," and ending "27. Family worship," and may refer to sermon or lecture topics.

Variables influencing the mathematics performance of first-year tertiary students : a case study

The need to understand which factors most strongly affect performance in first-year mathematics programs at Khon Kaen University (KKU), in North Eastern Thailand, provided the main focus of the study which is described. First-year mathematics students in the 1990-1991 academic year, from four KKU faculty groups (Medicine and Nursing, Agriculture, Science and Education, and Engineering) were involved in this study. Research literatures addressing variables which were likely to influence performance in early tertiary mathematical study, and variables associated with difficulties in learning mathematics at the transition from upper secondary school to tertiary studies, were reviewed. The first major aim of the study was to identify the variables which were good predictors of first-year mathematics performance at KKU. Results from stepwise multiple regression analyses indicated that the following predictor variables were statistically significant and entered the regression equations for most Faculty groups: School Mathematics Achievement, Self-Esteem, Study Habits in Mathematics, and Faculty of Study. Other predictor variables that sometimes entered regression equations (depending on the Faculty group) were Socio-Economic-Status, Mathematics Language Competence, Mathematics Confidence, Attitude Towards Mathematics, and Gender. Depending on Faculty group, the statistically significant variables accounted for between 11% and 74% of scores on fist-year KKU mathematics examinations. The predictor variables contributed much more to the variance of scores on first-semester mathematics examinations than to the variance of scores on second-semester mathematics examinations. It was also found that scores on the Direct Entry Examination Mathematics test (administered by KKU) and the School Mathematics Achievement test (developed and administered by the author) had stronger correlations with first-year KKU mathematics performance than did scores on the National Entry Examination Mathematics tests (administered by the Thai Ministry of University Affairs). Scores on the three pre-university mathematics achievement test instruments were better predictors of first-semester mathematics performance than of second-semester mathematics performance. It was found that the mean Mathematics Confidence of male students was statistically significantly higher than that of female students, but there were no statistically significant gender differences in Mathematics Misplaced Confidence. Only about 30% of the main sample ( 30% of the male and 30% of the female sample groups) had appropriate confidence in mathematics, that is, they thought their answers were correct when they were, in fact, correct, and they thought they were wrong when they were, in fact, incorrect. So far as Faculty performance differences were concerned, Engineering students had the highest Mathematics Confidence scores, followed by the Medicine and Nursing group of students and the Science and Education group students. Agriculture students had the lowest mean Mathematics Confidence score. No statistically significant differences occurred in Mathematics Misplaced Confidence between different Faculty groups. The second main aim of the study was to investigate why many first-year students experienced difficulties in coping with their mathematics units. A small group of senior secondary mathematics teachers, university mathematics lecturers, and first-year mathematics students were interviewed during the first semester of the 1990-1991 academic year. Interviews were conducted by the author according to a questionnaire format, and were aimed at identifying factors causing difficulty in the transition from senior secondary to university mathematical study. The analysis of the quantitative data together with the interview data indicated that the major sources of difficulty were associated with: (a) students' mathematical abilities; (b) curriculum content; (c) course organisation; (d) students' study habits; (e) instructional styles; and (f) assessment procedures. The results of the investigation are discussed in the light of the relevant literature and related research. The study concludes with recommendations which are addressed to mathematics teachers and education administrators in senior secondary schools in Thailand, to the Thai Ministry of Education, and to the KKU Department of Mathematics.