Sequence Information Sequence: Cognitivist Local Template Description: Pedagogy: The cognitivist approach focuses on the individual student’s current knowledge base and how to extend it. Hence, the lesson sequence commences with a real-world example to tap into the student’s understanding and alerting the teacher to difficulties. The key idea is to acknowledge that students come to learning with many experiences and a rich knowledge based. Hence it is important to not only acknowledge existing knowledge, but also to displace misconceptions and build new discipline-specific and critical thinking knowledge and skills through engagement with the learning activities.
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
Outline of Activities: 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.
Audience: Middle school Further education Adult education High school Subjects: Education Language: English LAMS Version: 2.5.0. License: Attribution-Noncommercial-ShareAlike Support Files: No files Sharing with: Everyone in Public Status: Active Average Rating: Not rated yet! Number of downloads: 3 times Number of previews: 6 times Authored By: Eva Dobozy Date: 19 September 2014 10:56 PM User Comments on Cognitivist Local Template sequence