Introduction about the topic
When introducing theorems to students it is often important to make them understand the way the theorem is proved rather than simply learn algebraic representation or formula. As far as the Pythagorean Theorem is concerned it is essential to remember that is based on major principles of Pythagoras.
Since it is accepted that the Western cultures and sciences largely rely on Pythagorean principles it is but natural to make students aware of the discourse concerning Pythagorean ideas. More so, students would be able to memorize the theorem due to their interest to its creator and his ideas.
Therefore, the most effective way to introduce the Pythagorean Theorem is to provide the most interesting facts about Pythagoras, his major concepts and the history of the theorem development. After that it is possible to pass on to providing certain ways to prove the theorem.
The two articles to be used are the work by Habibi (2010) and the work by Ramsahoye and Finlay (2010).
Work by Habibi
Mezban Habibi (2010) argues that it is not enough to present the algebraic formula to students since they should be aware of the discourse concerning Pythagoras and his concepts to understand the significance of the theorem.
Evaluating
The article can be regarded as a valuable source of some of the most important theoretical background when considering the Pythagorean Theorem in terms of teaching mathematics since it relies on thorough research in the field.
Position in relation to other contributions to knowledge
Habibi’s claims have been confirmed by many studies which claim that mere memorizing is not as effective as making students understand ties between different aspects of knowledge.
How it is relevant to my research topic
Habibi’s approach can be applied during mathematics classes since his work provides a simple example of one of effective ways to introduce the Pythagorean Theorem to students.
Work by Ramsahoye and Finlay
Ramsahoye and Finlay (2010) provide a thorough analysis of Holbein’s The Ambassadors in terms of major Pythagorean concepts.
Evaluating
Ramsahoye and Finlay (2010) rely on many reputable sources considering different manifestation of Pythagorean concepts in the painting and, more generally, in various aspects of human life
Position in relation to other contributions to knowledge
The claim of Ramsahoye and Finlay (2010) concerning possibility to find numerous manifestations of Pythagorean ideas in science and art has been confirmed by many researchers (Habibi, 2010; Hamming, 1980).
How it is relevant to my research topic
The major findings of Ramsahoye and Finlay (2010) can be applied during classes of mathematics. Admittedly, after such discussion students will be able to understand the essence and importance of the theorem.
Reference List
Habibi, M. (2010). Short Proofs for Pythagorean Theorem. International Mathematical Forum, 5(66), 3273-3282.
Ramsahoye, R., & Finlay, J. (2010). “The goods of Friends are Common”: Pythagorean Theorems and Renaissance Ideals of Friendship in Holbein’s The Ambassadors. Artfractures Quarterly (5), 5-17.