mathematics

Geometry from the Land of the Incas

Geometry from the Land of the Incas is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Geometry from the Land of the Incas rather than just read about it. In short: Geometry from the Land of the Incas is a free geometry website funded by advertising, aimed mainly at high school and college age students. Developed by Antonio Gutierrez, the site uses sound, dynamic geometry, animations, science, and Incan history with the goal of raising students' interest in Euclidean geometry.

Key takeaways

Geometry from the Land of the Incas belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Geometry from the Land of the Incas to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Geometry from the Land of the Incas from memory before moving on to harder problems.

Reference excerpt

Geometry from the Land of the Incas is a free geometry website funded by advertising, aimed mainly at high school and college age students. Developed by Antonio Gutierrez, the site uses sound, dynamic geometry, animations, science, and Incan history with the goal of raising students' interest in Euclidean geometry. Numerous problems are presented with step-by-step solutions for each proof. Around 2003, the website won several minor awards [1] from educational publications, including One of the Top 10 educational Web Sites Canada's SchoolNet's in 2003 [2], the Knot #284 Canadian Mathematical Society [3], NCTM Illuminations Web Byte (National Council of Teacher of Mathematics)[4], and one of 30 "Desert Island Theorems" of the book: "The Changing Shape of Geometry Celebrating a Century of Geometry and Geometry Teaching", the Mathematical Association UK[5]. The author designed the site for teachers, students and parents, and anyone else curious about geometry, mathematics, popular science, geography, Incan history and visual perception. The site moved to www.gogeometry.com on November 5, 2007 from www.agutie.homestead.com.

Site contents Geometry from the Land of the Incas is divided into nine major categories: Geometry theorems and problems, Inca Geometry, Quizzes, Puzzles, Quotations, Inspiration, Landscapes, Mindmaps, and Geometric art. This site is loaded with advertisements and very little, if any, interesting exploration of the Inca's understanding of geometry.

Technical requirements Requires Flash Player 5.0 or higher version, Java Runtime Environment 1.3 or higher version and JavaScript. This site is best viewed using Internet Explorer version 6.0 or higher, or Firefox version 1.5 or higher and at a display resolution of 1024 × 768 or higher.

References ^"Geometry from the Land of the Incas awards". Retrieved 2006-12-08. ^"Top 10 educational Web Sites Canada's SchoolNet's in 2003" (PDF). Retrieved 2006-12-08. ^"Knot #284 Canadian Mathematical Society". Archived from the original on 2003-09-17. Retrieved 2006-12-08. ^"NCTM Illuminations Web Byte] (National Council of Teacher of Mathematics". Retrieved 2006-12-08. ^""The Changing Shape of Geometry Celebrating a Century of Geometry and Geometry Teaching", the Mathematical Association UK". Archived from the original on 2005-03-03. Retrieved 2006-12-08.

External links Go Geometry from the Land of the Incas: New domain

Worked examples

Example 1 — a first encounter with Geometry from the Land of the Incas

Start with the simplest possible case. Write down what Geometry from the Land of the Incas claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Geometry from the Land of the Incas before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Geometry from the Land of the Incas ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Geometry from the Land of the Incas

In research: Geometry from the Land of the Incas appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Geometry from the Land of the Incas in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Geometry from the Land of the Incas is common in secondary-school and first-year university syllabi. It links to neighbouring topics Mathematics websites, Peruvian educational websites, so understanding it makes those chapters shorter.
In everyday life: Look for Geometry from the Land of the Incas outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Geometry from the Land of the Incas in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Geometry from the Land of the Incas means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Geometry from the Land of the Incas out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Geometry from the Land of the Incas in simple terms?

Why does Geometry from the Land of the Incas matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Geometry from the Land of the Incas?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Geometry from the Land of the Incas.