Uma Proposta de utilização de um software educacional para o ensino de poliedros

This paper presents an educational proposal to use an educational software for the teaching of mathematics, following in the conduct of activities, the main aspects of sociocultural theory of Vygotsky. For this, it chose the Poly educational software, with which were developed teaching and learning activities for the polyhedra content provided in the São Paulo State Mathematics curriculum for the 7th year of elementary school. The objectives of this pedagogical proposal are to stimulate situations of social interaction among students and between students and the teacher, using an educational software as a mediator instrument and present a different way of using digital technology in math classes, aiming production of mathematical knowledge

Mídias na educação matemática: projeto CONDIGITAL

This work aims to understand the multimedia Learning Objects (LO's) developed within the CONDIGITAL project, subsidized by the federal government. The CONDIGITAL aimed to encourage the production and the use of media in teaching in high school classrooms. This work presents a reflection on the contribution of media to the construction of significant learning of student users. The research was conducted through a literature study. Therefore, it was considered the work of some researchers related to the study of the potential of these technologies in education, such as Valente (1995), Tauroco (2007) and Mussoi (2010). These readings made possible to discern some common evaluation criteria that may be used as parameters to analyze the quality of these media as educational tools. The theme of exploration is guided by a research on the motivation of the mentioned project and on its amplitude and its results, which is directed later to the LO's developed by UNICAMP team, particularly in the Mathematics productions developed by the M³ project, some of the which are presented and evaluated in this monograph

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

Aprendiendo matemática con Bradford : Propuesta metodológica de enseñanza de uso de los elementos básicos de la matemática en Bibliotecología y Ciencia de la Información [ByCI]

Se propone una estrategia pedagógica para la introducción de temas no propios, en este caso matemáticos, en las Escuelas de Bibliotecología y Ciencia de Ia Información (ByCI) a partir de un ejemplo centrado en un tema propio, su extensión a otros temas propios y la articulación del conjunto, con el objeto de alcanzar el máximo de "dilución" del tema matemático en temáticas pertinentes de ByCI. La propuesta se centra en la creación de un ambiente de aprendizaje a partir de las zonas de desarrollo próximo del estudiante. Se tratará de mostrar que discutiendo temas propios con enfoque cuantitativo, como la distribución de la literatura científica a partir de un modelo didáctico del difundido artículo de Bradford de 1934 se logra aprender, desde la ByCI, con el máximo de naturalidad y el mínimo de trauma psicológico, un conjunto de temas matemáticos elementales pero fundamentales para la mayoría de los Estudios Métricos de la Información. Se completa con propuestas de manejo del tema en las Escuelas, dirigidas a estudiantes, graduados, investigadores y docentes

Aprendiendo matemática con Bradford : Propuesta metodológica de enseñanza de uso de los elementos básicos de la matemática en Bibliotecología y Ciencia de la Información [ByCI]

Se propone una estrategia pedagógica para la introducción de temas no propios, en este caso matemáticos, en las Escuelas de Bibliotecología y Ciencia de Ia Información (ByCI) a partir de un ejemplo centrado en un tema propio, su extensión a otros temas propios y la articulación del conjunto, con el objeto de alcanzar el máximo de "dilución" del tema matemático en temáticas pertinentes de ByCI. La propuesta se centra en la creación de un ambiente de aprendizaje a partir de las zonas de desarrollo próximo del estudiante. Se tratará de mostrar que discutiendo temas propios con enfoque cuantitativo, como la distribución de la literatura científica a partir de un modelo didáctico del difundido artículo de Bradford de 1934 se logra aprender, desde la ByCI, con el máximo de naturalidad y el mínimo de trauma psicológico, un conjunto de temas matemáticos elementales pero fundamentales para la mayoría de los Estudios Métricos de la Información. Se completa con propuestas de manejo del tema en las Escuelas, dirigidas a estudiantes, graduados, investigadores y docentes

Aprendiendo matemática con Bradford : Propuesta metodológica de enseñanza de uso de los elementos básicos de la matemática en Bibliotecología y Ciencia de la Información [ByCI]

Se propone una estrategia pedagógica para la introducción de temas no propios, en este caso matemáticos, en las Escuelas de Bibliotecología y Ciencia de Ia Información (ByCI) a partir de un ejemplo centrado en un tema propio, su extensión a otros temas propios y la articulación del conjunto, con el objeto de alcanzar el máximo de "dilución" del tema matemático en temáticas pertinentes de ByCI. La propuesta se centra en la creación de un ambiente de aprendizaje a partir de las zonas de desarrollo próximo del estudiante. Se tratará de mostrar que discutiendo temas propios con enfoque cuantitativo, como la distribución de la literatura científica a partir de un modelo didáctico del difundido artículo de Bradford de 1934 se logra aprender, desde la ByCI, con el máximo de naturalidad y el mínimo de trauma psicológico, un conjunto de temas matemáticos elementales pero fundamentales para la mayoría de los Estudios Métricos de la Información. Se completa con propuestas de manejo del tema en las Escuelas, dirigidas a estudiantes, graduados, investigadores y docentes

Student mathematical proofs by Edward Stephen (?) Wigglesworth, 1788

Sheet with two handwritten mathematical proofs signed "Wigglesworth, 1788," likely referring Harvard student Edward Stephen Wigglesworth. The first proof, titled "Problem 1st," examines a prompt beginning, "Given the distance between the Centers of the Sun and Planet, and their quantities of matter; to find a place where a body will be attracted to neither of them." The second proof, titled "Problem 2d," begins "A & B having returned from a journey, had riden [sic] so far that if the square of the number of miles..." and asks "how many miles did each of them travel?"

A plan of Cambridge Green, 1780 September 14

Small pen-and-ink and watercolor drawing of Cambridge Green created by Harvard senior John Davis, presumably as part of his undergraduate mathematical coursework. The map surveys Cambridge Commons and includes a few rough outlines of College buildings and the Episcopal church, and notes the burying ground, and the roads to Charlestown, Menotomy, the pond, Watertown, and the bridge. The original handwritten text is faded and was annotated with additional text by Davis including the note "[taken in my Senior year at H. College Septr 1780] Surveyed in concert with classmates, Atkins, Hall 1st, Howard, Payne, &c.- J. Davis." There is a note that "Atkins afterwards took the name of Tying." Davis refers to Dudley Atkins Tyng, Joseph Hall, Bezaleel Howard, and Elijah Paine, all members of the Harvard Class of 1781.

Rules and orders relating to a Professor of the Mathematicks, of Natural and Experimental Philosophy, in Harvard College, 18 January 1726

This folder contains a single document describing the "rules and orders" of the Hollis Professor of Mathematics and Natural Philosophy. The document begins by defining the subjects to be taught by the Hollis Professor including natural and experimental philosophy, elements of geometry, and the principles of astronomy and geography. It then outlines the number of public and private lectures to be given to students, how much extra time the professor should spend with students reviewing any difficulties they may encounter understanding class subject matter discussed, and stipulates that the professor's duties shall be restricted solely to his teaching activities and not involve him in any religious activities at the College or oblige him to teach any additional studies other than those specified for the Hollis Professor of Mathematics and Natural Philosophy. Furthermore, the rules establish the professor's salary at £80 per year and allow the professor to receive from students, except those students studying theology under the Hollis Professor of Divinity, an additional fee as determined by the Corporation and Board of Overseers, to supplement his income. Moreover, the rules assert that all professorship candidates selected by the Harvard Corporation must be approved by Thomas Hollis during his lifetime or by his executor after his death. Finally, the rules state that the Hollis professor take an oath to the civil government and declare himself a member of the Protestant reformed religion. This document is signed by Thomas Hollis and four witnesses, John Hollis, Joshua Hollis, Richard Solly, and John Williams.

John Winthrop's proposal respecting electrical globes and jars, ca. 1758

In this proposal, John Winthrop explains the need to replace damaged "electric globes" used in the College's collection of scientific apparatus. He states that Benjamin Franklin, at the time residing in London, was willing to seek replacement globes for the College's collection. Winthrop then proceeds to assert that the College should acquire "square bottles, of a moderate size, fitted in a wooden box, like what they call case bottles for spirits" instead of the large jars included in the scientific apparatus, because those jars cracked frequently.

Notebook of Obadiah Ayer, 1708-1716

The leather-bound notebook contains academic texts copied by Obadiah Ayer while he was a student at Harvard, and after his graduation in 1710. There is a general index to the included texts at the end of the volume.

Student notebook of Samuel Dunbar, 1721-1722

This leather-bound volume contains substantial transcriptions copied by Samuel Dunbar from textbooks while he was a student at Harvard in 1721 and 1722. There is a general index to texts at the end of the volume. Dunbar's notebook provides a window into the state of higher education in the eighteenth century and offers a firsthand account of academic life at Harvard College. Notably, he often indicated the number of days spent copying texts into his book.

Student mathematical textbook of James Freeman, 1774

Manuscript volume containing portions of text copied from Nicholas Saunderson’s Elements of algebra, Nicholas Hammond’s The elements of algebra, and John Ward’s The young mathematician’s guide. The volume is divided into two main parts: the first is titled Concerning the parts of Arithmetick (p. 1-98) and the second, The elements of Algebra, extracted from Hammond, Ward & Saunderson (p. 99-259).

Student mathematical notebook of Thomas Noyes, 1793

This sewn volume contains Noyes’ mathematical exercises in geometry; trigonometry; surveying; measurement of heights and distances; plain, oblique, parallel, middle latitude, and mercator sailing; and dialing. Many of the exercises are illustrated by carefully hand-drawn diagrams, including a mariners’ compass and moon dials.