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.

Sermon notes compiled by Warham Williams, 1716-1718

Parchment-bound notebook containing notes kept by Warham Williams on sermons he attended between May 20, 1716 and April 20, 1718, while he was an undergraduate at Harvard College. The notebook includes two chronological tables, at the front and end of the volume, that list the town, lecturer (generally Harvard tutors), biblical text, year, month, day, and part of the day of sermons attended by Williams. The volume contains one-to-two page entries on specific sermons and provides the biblical text and related questions and conclusions. From the front of the volume, the pages contain entries for sermons attended between May 20, 1716 through February 13, 1717. Sermon entries for April 7, 1717 to April 20 1718 are written tête-bêche from the other end of the volume.

Sermon notes compiled by Solomon Prentice, 1724-1726

Leather top-bound volume containing notes kept by Solomon Prentice on sermons he attended between April 1724 and December 17, 1726, while he was an undergraduate at Harvard College. The volume contains one-to-two page entries on specific sermons and provides the biblical text and related questions and conclusions.

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.

Notebook concerning mathematical equations : manuscript, 1769-1774

Notes on measuring height and distance, trigonometry, spherical projection, and other mathematical equations. Probably William Winthrop (1753-1825; Harvard AB 1770).

Of the invention of theorems : manuscript, [17--]

Mathematical notes, equations, theorems, and definitions. Probablynot by William Winthrop (Harvard AB 1770) as it is different handwriting and language habits from other of his manuscript.

Arithmetic copybook : manuscript, [17--]

Arithmetic copybook containing mathematical rules, problems, proofs, and charts of weights and measures.

John Warren's copy of votes from a meeting of the Boston Medical Society, 1784 May 3

This document lists the eleven votes cast at a meeting of the Boston Medical Society on May 3, 1784. It was authorized as a "true coppy" by Thomas Kast, the Secretary of the Society. The following members of the Society were present at the meeting, all of them doctors: James Pecker, James Lloyd, Joseph Gardner, Samuel Danforth, Isaac Rand, Jr., Charles Jarvis, Thomas Kast, Benjamin Curtis, Thomas Welsh, Nathaniel Walker Appleton, and doctors whose last names were Adams, Townsend, Eustis, Homans, and Whitwell. The document indicates that a meeting had been held the previous evening, as well (May 2, 1784), at which the topics on which votes were taken had been discussed. The votes, eleven in total, were all related to the doctors' concerns about John Warren and his involvement with the emerging medical school (now Harvard Medical School), that school's relation to almshouses, the medical care of the poor, and other related matters. The tone and content of these votes reveals anger on the part of the members of the Boston Medical Society towards Warren. This anger appears to have stemmed from the perceived threat of Warren to their own practices, exacerbated by a vote of the Harvard Corporation on April 19, 1784. This vote authorized Warren to apply to the Overseers of the Poor for the town of Boston, requesting that students in the newly-established Harvard medical program, where Warren was Professor of Anatomy and Surgery, be allowed to visit the hospital of the almshouse with their professors for the purpose of clinical instruction. Although Warren believed that the students would learn far more from these visits, in regards to surgical experience, than they could possibly learn in Cambridge, the proposal provoked great distrust from the members of the Boston Medical Society, who accused Warren of an "attempt to direct the public medical business from its usual channels" for his own financial and professional gain.

Educação matemática: pesquisas e possibilidades

This book presents a current overview of themes that entangle research in Mathematics Education, which were produced in conjunction with professors who act in the Mathematics Education field at PPGECM (Science and Mathematics Post-graduation Program), that counts with professors from many universities, especially UFPR (Paraná's Federal University), UTFPR (Paraná's Technological Federal University) and UDESC (Santa Catarina's Federal University).The set of texts brings some areas of interest, studies that are in development and research that have been completed. It is expected that the chapters present the program, aspects of its production, interests and theoretical/methodological relations, contributing to the strengthening of Mathematics Education as a research field and familiarization and deepening of the topics discussed.

Os níveis de desenvolvimento do pensamento geométrico: o aprendizado do conteúdo de polígonos numa perspectiva do modelo Van Hiele

This work studies the van Hiele model, the levels of development of geometric thinking and its learning phases. Using this knowledge, we prepared a Research Instrument to identify the Level of Development in Geometric Thinking (Levels of van Hiele) of Middle School students, related to contents of Polygons. We have applied this Research Instrument to 237 students from a public school (state) in Curitiba, and we made an analysis of the acquired data. We have improved the Instrument’s questions so that it can be used by teachers during the class. Helping to identify to which level content the student belongs, related to the proposed.

Ensino dos números racionais comparando medidas de unidade

This research aimed to investigate the possibility to develop the process of teaching and learning of the division of rational numbers with guided tasks in interpretation of measure. Adopted as methodology the Didactic Engineering and a didactic sequence in order to develop the work with students of High School. Participated of training sessions twelve students of one state school of Porto Barreiro city - Paran´a. The results of application of the didactic engineering suggest the importance of utilization of guided tasks in interpretation of measure, since strengthened the understanding, on the part of students, the concept of division of fractional rational numbers and contributed for them develop the comprehension of others questions associated to the concept of rational numbers, such as order, equivalence and density.

Estatística com projetos: uma alternativa de ensino e aprendizagem

This work presents the use of projects as an alternative for teaching statistics, for that it was elaborated a Project that involves the educational socioeconomic reality from the families of the students and built a link between the reality and the scholastic knowledge. This project was applied in Sesi School - Pato Branco between the months of August to September 2014 with 25 students from the 1o and 2o grades from High School. To work the statistics concepts a questionnaire was applied for the parents of the students of the Project´s, they answer it and through these answers the students made frequency tables and graphs, besides measure calculations on measures of central tendency and dispersion measure. All of the construction were realized manually and in the Excel spreadsheet and some of them were chosen to be in this work to with the purpose of showing the hits and the mistakes done. The students worked in groups of 5 students, except in the last class when it was done a test referring to the contents taught in the classroom and a questionnaire for them to evaluate the project´s application. The results show that the teaching of Statistics trough projects motivate the students interest, stimulating the statistical reasoning, in addition made the students know a Math that was different from the one they have already known, with a lot of calculation but with no final objective.

GeoPlexo: um material manipulável para o ensino dos números complexos

This study aims to develop a manipulative material to assist the teaching and learning of Complex Numbers. Primarily, It tries to define the status of the current teaching of Complex Numbers, having as guide the bias of the research produced in dissertations and published on the website of Capes and the Virtual Library of Profmat from 2004 to 2014. It presents historical aspects of the theme, a mathematical foundation and a discussion of the use of manipulative materials as teaching resources for the teaching of mathematics. It introduces the manipulative material called GeoPlexo and a sequence of activities of potentiation and settling of complex numbers, explaining its use. It concludes with the importance of manipulative materials as a teaching resource for the teaching of Complex Numbers, especially regarding the geometric visualization of this mathematical object.