Sequence Information Sequence: Social Constructivist Local Template Description: Pedagogy: The social constructivist approach focuses on on the idea of ‘intersubjectivity’. Through social activities, such as discussion and debate, students share their ideas, which are transformed into internal mental models. Hence, students’ thinking is gradually transformed through observation and participation in social interactions. This kind of knowledge scaffolding is quite different from other educational paradigms – according to this view of learning; students need each other to learn most effectively. Hence, the lesson sequence commences with a real-world, ill-structured problem. Students are required to function as a team to work through the problem, testing their ideas and building on the knowledge of others. They learn to understand that the knowledge they hold together is more powerful than the knowledge they individually possess.Learning Outcomes: The learning outcomes of this sequence are for students to understand and explain what the Fibonacci numbers are, the mathematical formula which defines the recurrent relation, and how the Fibonacci numbers relate to nature and the concept of the perfect rectangle.

Keywords: Teacher education, Pedagogy, Mathematics, Number sequence, Fibonacci numbers

Run time: approx. 180 minutes

Delivery Mode: synchronous or asynchronous

Resources: No additional resources are required

Learning content: In this sequence, students will learn who Fibonacci was, where Fibonacci numbers occur in nature and 'the golden ratio'. The golden ratio can be found by dividing the long side by the short side. So if you have a rectangle that is 3 x 5, you would divide 5 by 3. This will give us a number right around 1.61 (the Greek letter phi). The ancient Egyptians and ancient Greeks already knew the number and, because they regarded it as an aesthetically pleasing ratio, often used it when building monuments (e.g., the Parthenon). The pentagram so popular among the Pythagoreans also contains the golden ratio. It is also used in modern buildings and constructions. The golden ratio plays a role in human perception of beauty, as in body shapes and faces.

Author view:

Audience: Middle school Further education Adult education High school College - University Other Subjects: Education Language: EnglishLAMS Version: 2.5.0.License: Attribution-Noncommercial-ShareAlike Support Files: No files Sharing with: Everyone in PublicStatus: ActiveAverage Rating: Not rated yet!Number of downloads: 2 times Number of previews: 9 times Authored By: Eva Dobozy Date: 19 September 2014 11:37 PM User Comments on Social Constructivist Local Template sequence