Using Tangrams To Explore Mathematical Concepts Essay

Using Tangrams To Explore Mathematical Concepts Essay

Length: 1634 words (4.7 double-spaced pages)

Rating: Strong Essays

Open Document

Essay Preview

Using Tangrams To Explore Mathematical Concepts

Representations have always been a very important part of teaching mathematics. The visuals and hands on experiences help to aide the teachers by assisting them in relaying important topics and concepts to the students. By having a representation, the students are more likely to remember what they have learned, and recall the lesson when it comes time to take a test or do their homework.

Within mathematics, many different manipulatives are used to enhance learning. Among the most commonly used are tangrams. The seven pieces that make up a set of tangrams have value well beyond their small size. One of their most important values, other than providing educational entertainment to students, is the introduction of geometric properties and theorems.

When introducing the idea of using tangrams, it is good to tell the old Chinese folktale about how they came to be. The story goes as follows, “A young boy named Tan wished to give the emperor a beautiful tile. As he carries the tile to the palace, he accidentally drops it and it breaks it into seven pieces. Tan tries and tries to restore the tile to its original shape. In the process, he finds out that he can create all sorts of fascinating pictures with the seven pieces of his tile. The seven tile pieces are what are now called tangrams.” (Tackling Tangrams, 2000)

This story illustrates that tangrams can be used a method of discovery, as well as for enjoyment since many pictures can be formed. It also helps students to see why they are able to form a square, which is the main basis for the manipulative. It is beneficial to give the students some time to play and explore with the tangrams after the story is told so they can find different pictures.

By having the students use investigation, a teacher is able to establish a trusting classroom atmosphere as well as have the students see that abstract concepts are very meaningful. (Conundrum, 2001)

By definition, “a tangram is an ancient Chinese puzzle that provides another avenue for exploring rational number concepts.” (Teaching and Learning, 83) They are very useful to explore number concepts as well as in guided discovery. Tangrams are used for many things, including, understanding fractions, relating areas, discovering the Pyth...

... middle of paper ... Guided discovery through concrete materials will take over all math classes soon. As long as tangrams are among them, the students will learn a lot and retain the information for a lot longer.

Works Cited

“Areas of Tangram Pieces.”

“Developing Geometric Understandings and Spatial Skills through Tangram Puzzles.”

Hatfield, Mary. “Use of Manipulative Devices: Elementary School Cooperating Teachers Report.” School Science and Mathematics. Volume 94, Issue 6. October 1994.
“More Tangram Activities.”

Naylor, Michael. “Tangram Tricks.” Teaching Pre K-8. 32 no 8, 26-7. May 2002.
“The Pythagorean Theorem with Tangrams”

Rigdon, Deanna. “Tackling Tangrams.” Teaching Children Mathematics. 6 no 5, 304-5.
January 2000.

Rubenstein. Teaching and Learning Middle Grades Mathematics. Key College Publishing. California. 2004

Thatcher, Debra. “The Tangram Conundrum.” Mathematics Teaching in the Middle School. 6 no 7, 397-9. March 2001.

Need Writing Help?

Get feedback on grammar, clarity, concision and logic instantly.

Check your paper »

Essay on Overall Reflection on Interactive Science Concepts

- I thought the observations and interactive activities really added to my understanding of some concepts in Science. The activities allowed us hands on exploration of new ideas and ways to teach students Science. I really liked the spinning top activity. While building this activity, I found it interesting that student can come up with different ideas to achieve the same task. We had six groups and six different interpretations of what out tops should look like. This allowed us to explore through trial and error to achieve the same goal....   [tags: activity, investigation, explore, observation]

Strong Essays
515 words (1.5 pages)

Using Restaurant Concepts Through Comparative Analysis Essays

- “Conceptualizing is an integrative strategy designed to take scientific and mathematical thinking beyond the facts and singular theories to the level of the underlying concepts. Such core concepts such as linearity, change, and scale can effectively tie together algebra and geometry, physics and biology, illuminating a hidden pattern of relationships.” (Frid, 1995) When talking about the conceptualization of restaurants all these fundamentals play an important role. To scoop out all the hidden patterns and analyzing them in order to set up a working model for more stability and profitability by understanding customer needs and other influencing factors are the restaurant concepts....   [tags: Marketing, Concept, Brand management]

Strong Essays
1120 words (3.2 pages)

Nokia, Using The Frameworks And Concepts Essay

- This report is mainly based on the case study Emerging Nokia, using the frameworks and concepts we have learned to analyze the case. This report is divided into 5 parts, first is the summary of the case, the second part is about the competition Nokia faced, the third part is the factors that contributed to the success of Nokia, then the challenges Nokia may face in China and the recommendations to them and the last part is the conclusion of the report. Introduction of case study Nokia, the leader of mobile phone manufacturers, has a successful strategy in the emerging markets....   [tags: Mobile phone, Smartphone, Nokia, Marketing]

Strong Essays
1110 words (3.2 pages)

Essay on Psychoanalysis of Fight Club Using Freudian Concepts

- Fight Club is a movie that is based on a Chuck Palahniuk novel of the same name. The movie adaptation was written by Jim Uhls, directed by David Fincher and released October 15, 1999. The movie is about the life of the narrator, a depressed insomniac who works as a recall coordinator for an automobile company. The narrator is refused medication by his doctor, he turns to attending a series of support groups for different illnesses and uses these support groups for emotional release and this helps to temporarily cure his insomnia....   [tags: Fight Club Analysis]

Strong Essays
1678 words (4.8 pages)

The Five Main Marketing Concepts Essay

- ... That is why we keep reminding our customers that "SEVEN DAYS WITHOUT EXERCISE MAKES ONE WEAK". Secondly we believe there is no age limit and thus even persuade the workaholics who do sense their health condition but ignore it because of their responsibilities; we provide flexible timings and programs for our customers to achieve their satisfaction. We also provide our customers with their personal trainer if they wish for it that concentrates and helps only them so that they are satisfied with their work out....   [tags: product, sell, social concepts]

Strong Essays
635 words (1.8 pages)

Using the Past to Confronfront Important Issues: Artist Hiroshi Sugimoto

- Contemporary Japanese artist Hiroshi Sugimoto works to address contemporary issues while using ideas, concepts, and materials from his heritage. He was born in Tokyo in 1948. Graduating from Saint Paul’s University, Tokyo in 1970, he then traveled to Art Center College of Design in Los Angeles California to finish his education in 1974. Sugimoto primarily works as a photographer, but he also works as an architect and a designer. Artwork by Sugimoto is comparable to the Shinto shrines, Buddhist art and Shino wares used in the tea ceremony....   [tags: ideas, concepts, materials, heritage, traditional]

Strong Essays
875 words (2.5 pages)

Using the literary and linguistic concepts and approaches of I Syng Essay

- Using the literary and linguistic concepts and approaches of I Syng of a Mayden, this essay will be focusing on how the anonymous poet conveys religious ideas throughout the poem. The poem was written by an anonymous poet in the 15th Centaury How does the poet convey religious ideas in the poem 'I Syng of a Mayden'. Using the literary and linguistic concepts and approaches of 'I Syng of a Mayden', this essay will be focusing on how the anonymous poet conveys religious ideas throughout the poem....   [tags: English Literature]

Strong Essays
821 words (2.3 pages)

Numerical concepts Essay

- Imagine you are sitting in your office when a little child comes bouncing in to the room, filled with curiosity. They look around the room and begin to question everything they see before their eyes fall on a large bookshelf against the wall. The little child looks at the shelf in awe, and exclaims “There must be a million books there!” Most of us who have spent time with a little kid at some point have probably heard them over exaggerate when it comes to guessing the amount of something, but not all of us have considered why this might be....   [tags: Estimating Stimuli, Mathematical Cognition]

Strong Essays
965 words (2.8 pages)

Exploration of Issues While Using Economic Concepts and Statistical Data

- Exploration of Issues While Using Economic Concepts and Statistical Data TRADE Regional Trade - Trade within countries, eg Dairy Products from Waikato International Trade - Trade between countries, eg Gold from South Africa Onshore services - a service provided for foreigners in New Zealand by a New Zealand owned business. (Such as tourism in New Zealand) Offshore services - when a New Zealand firm provides a service outside our country. (Such as insurance) Free trade is when the purchase and sale of goods and services across international borders can occur without intervention by either government....   [tags: Papers]

Free Essays
5292 words (15.1 pages)

Essay about Humans Should Explore Space

- The recent events regarding the NASA Mars probes have renewed the debate of reinstalling manned space missions with the objectives of exploring and landing on foreign worlds such as the moon and the red planet Mars, rather than the use of solely robotic craft and machines. It is my belief that we should return to the days of Neil Armstrong and Buzz Aldrin, those of manned lunar landings and manned space exploration. Robots simply cannot and should not be allowed to be the sole means of visiting these worlds, nor should humans only be able to witness new findings second hand through the use of computers and machines....   [tags: Argumentative Essays]

Free Essays
984 words (2.8 pages)