A visualização no ensino de geometria com o Geogebra 3D

This research presents an investigation about the relevance of visualization in teaching geometry. Our interest turns to analyzing the use of technology in teaching geometry, seeking to highlight their contribution to learning. The students of today - second decade of the 21st century - require that, each time more, the school move towards the integration of technologies for teaching since tablets, smartphone, netbook, notebook are items present on daily life of most students. Thereby, we investigate, taking the phenomenological orientation, the potential of educational software, especially the Geogebra 3D, directed at teaching math and favoring the work with the geometry viewing. At work we bring some theoretical considerations about the importance of viewing for the geometric learning and the use of technologies. We build an intervention proposal for the classroom of the 7th year of elementary school with tasks aimed at visual exploration and allow the teacher to work the concept of volume of geometric solids

Ensino e aprendizagem de matemática: o uso de recursos manipulativos em sala de aula

In this work, we understand the importance of the use of manipulative resources for learning mathematics. For both we developed a qualitative phenomenological approach. Performing a case study with nine 7th grade students of the Elementary School, we used the abacus of the integers to examine in what way the use of Abacus contributes to students learning. The choice of material was made according to the focus of research, understanding the signs rule. In the analysis and interpretation of data, highlight lines of students, subject of the research, units of meaning that allow us to say that the material using awakened interest in students Who actively participated in the research and enabled them to understand the rule of signs, to operate with integers enabled them to understand the rule of signs, to operate with integers

Discovering a history : the school of art at the University of Denver

Discovering a History: The School of Art at the University of Denver explores the early history of art education in Denver, and the significance of visual art education at the University of Denver within that history beginning in 1865, when the first classes in art were offered, and ending in 1929 when the University acquired the Chappell School of Art—an independent art school—and appointed Vance Kirkland as director. This paper also explores competing art institutions, which at times posed great hindrances to the University. Further, it illustrates how the artists who taught at the University of Denver School of Art, such as Ida De Steiguer, Preston Powers, Emma Richardson Cherry, and Henry Read, were amongst the great contributors to Denver’s burgeoning artistic culture.

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.

Theses, in Comitiis publicis Harvardini Collegii quod est Cantabrigiae Nov-Anglorum, defensae & pro viribus propugnatae a Juvenibus in Artibus initiatis, [1660-1753]

The bound volume holds handwritten transcriptions of selected Harvard Commencement Theses copied by Isaac Mansfield (Harvard AB 1742). The manuscript volume holds only the Theses chosen for public disputation. The volume includes Theses transcriptions for which no original broadsides are known to still exists.

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 James Blake on Hebrew grammar, 1767

A small paper notebook containing eight-pages of English notes on Hebrew grammar and Hebrew script written by Harvard undergraduate James Blake in 1767. The title of the first page, "Of Nouns," is annotated with the note, "Benj'm Wadsworth, 1767" and the recto of the back cover contains a personal note to "Rev'd Mr. Wadsworth" signed "J. B.," presumably referring to Benjamin Wadsworth (1750-1826; Harvard AB 1769).

Commonplace book of Nathaniel Freeman, 1786-1787

Nathaniel Freeman made entries in this commonplace book between 1786 and 1787, while he was an undergraduate at Harvard College. The book includes the notes Freeman took during three of Hollis Professor Samuel Williams' "Course of Experimental Lectures," and cover Williams' lectures on "The Nature & Properties of Matter," "Attraction & Repulsion," and "The Nature, Kind, & Affections [?] of Motion." These notes also include one diagram. The book also includes forensic compositions on the subjects of capital punishment, the probability of "the immortality of the soul," and "whether there be any disinterested benevolence." It also includes a poem Freeman composed for his uncle, Edmund Freeman; an anecdote about Philojocus and Gripus; an essay called "Character"; a draft of a letter to the Harvard Corporation requesting that, in light of the public debt, the Commencement ceremonies be held privately to lower expenses and exhibit the merits of economy; and an "epistle" to his father, requesting money. This epistle begins: "Most honored sire, / Thy son, poor Nat, in humble strains, / Impell'd by want, thy generous bounty claims."

Dominium temporale non fundatur in gratia (Commencement Quaestiones), 1697 July 7

Small paper notebook of John Ballantine with the handwritten Latin quaestiones performed by Ballantine, Eliphalet Adams, Adam Winthrop, and Jabez Fitch as candidates for the Master’s degree during the July 7, 1697 Harvard Commencement ceremony. The Quaestiones begin with Ballantine’s “Dominum temporal non fundatur in gratia,” and follow with “An Jesuitae possint esse boni subditi? Neg Resp. Dom. Winthrop,” "An Ethnicae virtutes sint verae virtutes?" Neg. Resp. Dom. Adams,” and “An detur omnibus an sufficiens ad salutem? Neg. Resp. Dom. Fitch.” The title page bears the inscription: “Jno Ballantine’s Book” and the first page has been torn out.

Commonplace book of John Holyoke, 1662 - May 1663

This unbound commonplace book was kept by John Holyoke during 1662 and 1663. The volume contains chiefly religious quotations and sermon notes (possibly of sermons preached by Holyoke himself), in English, Latin and Greek. Both ends of the volume were used to begin writing: the front page reads “Johannes Holyoke, adjunctu occupatu, May-1663” and the rear page reads “Johannes Holyoke [illegible] 1662.” The texts do not follow a straight tête-bêche model, where one text is upside down in relation to the other; rather, the texts change direction several times within the volume. The volume also includes part of letter sent to Holyoke’s grandfather Pynchon, September 16, 16?? [date illegible], as well as a series of alphabetically arranged quotations.

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."