Student mathematical notebook of Ephraim Eliot, 1779

Handwritten mathematical notebook of Ephraim Eliot, kept in 1779 while he was a student at Harvard College. The volume contains rules, definitions, problems, drawings, and tables on arithmetic, geometry, trigonometry, surveying, calculating distances, and dialing. Some of the exercises are illustrated by unrefined hand-drawn diagrams, as well as a sketch of a mariner’s compass. The sections on navigation, mensuration of heights, and spherical geometry are titled but not completed. The ink of the later text, beginning with Trigonometry, is faded.

Greek translations by Benjamin Wadsworth, 1766

Two-page handwritten Greek translations created by Harvard sophomore Benjamin Wadsworth on folio-sized paper. The document contains Greek translations of two letters from J. Garretson's "English exercises for school-boys to translate into Latin," copied by Wadsworth in 1766. The first page contains two sections: "As it is in English. A Letter from one friend to another," containing a copy of Garretson's Epistle IV from "E.C.," and a Greek translation of the letter beginning "Kypie..." The second page contains a Greek translation of Garretson's Epistle III from "B.J," and a note by Wadsworth: "A Letter from one Brother to another. Taken out of Garetson's English Exercise. The 3rd Exercise. or 135st page. There is not room or I would write down the English out of which I translated it. September the 2d A.D. 1766. When I was a sophomore." The document is bordered with hand-drawn double lines.

Latin exercise book of James Baker, 1759-1760

Small notebook kept by James Baker in the late 1750s; the dates 1755, 1756, and 1758 were written in the book. The volume contains Latin theses, Latin translations from the Book of Genesis, and three pages of English text recording an argument about the soul. The notebook has a string binding and pages of different size. The text does not appear to follow a system of organization and includes scribbles and struck-out words.

Commonplace book of Benjamin Penhallow, 1721-1724

This leather-bound volume contains excerpts copied by Benjamin Penhallow from books he read while he was a student at Harvard in the 1720s. The volume contains extracts from two texts: Johanis Henrici Alstedii's (John Henry Alsted / Johann Heinrich Alsted) Geometria Domini, and the anonymous text "The Legacy of a dying Father; bequeath'd to his Beloved Children, or Sundry Directions in Order unto a well Regulated Conversation," from 1724 (originally published in 1693-4). The last page of text in the volume contains the hymn "The Sacred Content of Praise" first published in 1734, and added after Penhallow's death.

Student mathematical notebook of William Emerson Faulkner, 1795

Leather hardcover notebook with unruled pages containing the handwritten mathematical exercises of William Emerson Faulkner, begun 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 by unrefined hand-drawn diagrams, including some of buildings and trees.

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.

Grammatica graeca, 1763

Bound volume containing a handwritten Greek grammar compiled by Joseph Drury beginning in 1763. The last sixteen pages contain a historical poem beginning, “Mason might once assert a Poets Claim. / But he must needs write.” The poem contains references to the “Great Patriot P—,“ the Roman conquest of Gall, Caeser, Versailles, and includes the verses, “How the King doth all his Cooks excel / Besides he longs to kiss his P / Saving your presence Louis keeps a whore.”

Elements of geometry : manuscript, 1798

Contains work on geometry, trigonometry, surveying, mensuration of heights and distances, and navigation. The graphs and diagrams illustate story problems and navigational examples.

Rule of three : manuscript, 1774

An arithmetic copybook, with accounting problems concerning commercial transactions. There is a reference to the Boston Tea Party in problem no. 68.

Hādhihi Risālah fī al-ijāzah / lil-Imām al-Ḥāfiẓ al-Awḥad al-Mutqin Abū al-Muẓaffar Manṣūr ibn Salīm al-Hamadānī al-Iskandarī al-Shāfiʻī : manuscript, 1865 or 6

Cream laid paper.

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.