Demonstração de fórmulas matemáticas no ensino médio

The objective of this study is to analyze the validity of working with proofs in the classroom and to present a partial list of proofs of mathematical formulae of the Brazilian secondary/high school curriculum. The adaptation of the proofs into the knowledge and abilities of a secondary school student should also be considered. How the teaching of proofs is treated in official publications in Brazil and other countries is also described. Working with proofs provides a number of benefits to the students, including: the development of logical reasoning, argumentative capacity, analytical skills on a daily basis, as well as motivation and a better understanding of mathematics as a science. The convenience of including the teaching of proofs in Brazilian secondary school curriculum and the need of a balance between the abstraction of proofs and contextualization of the school programmes is discussed. The approach of the proof teaching in the classroom can become a motivating factor or, conversely, a discouraging one. The conclusion is that it would be very useful to create a reference list covering the mathematical expressions of school programmes with their respective proofs that can be understood by secondary school students.

Goose Creek : [Washington D.C.] /

Covers Tiber Creek estuary in the area now occupied by the Mall.

Georgia, from the latest authorities.

Scale ca. 1:3,000,000.

Carte de la Louisiane par le Sr. d'Anville.

Scale ca. 1:900,000.

Le Mississipi ou la Louisiane dans l'Amérique septentrionale.

Hand colored.

D. Carolina, nebst einem Theil von Florida.

Scale ca. 1:6,000,000.

Nova Virginiæ tabula.

Copy has date annotated on verso: 1644. DLC

Virginia /

Relief shown pictorially.

Virginia /

Relief shown pictorially.

A plan of the county of Fairfax on Potomack River the middle of which is in 39⁰, 12ʹ No. latitude.

Also covers Arlington and Loudoun counties.

Captn. Willoby. Newton's including deed for 6421 acrer of land in the County of Fairfax : [Virginia] : Deed drawn /

Shows the parcel bounded by Bull Run Creek to the south, Cub Run to the west, and Little Rocky Run to the east in Fairfax County, Virginia and names of landowners.

[Map of Alexandria, Virginia] /

Cadastral map showing lot numbers.

Plan of a tract of land (marked in the General Plan no. 7), containing in the whole 5000 acres, & divided into 20 plantations of 250 acres each, situate on a left hand branch of Elk River, & on the head waters of Salt Lick Creek, in Harrison County, State of Virginia /

Covers part of Harrison County (W.Va.)

A map of North Carolina : from the best authorities /

Relief shown by hachures.

[Plat of land grant survey in South Carolina, accompanied by deed of grant] /

Pen-and-ink.