Sequence: Cognitivist Local Template

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.

Author view:

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
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Number of downloads: 3 times
Number of previews: 6 times
Authored By:   Eva Dobozy
Date: 19 September 2014 10:56 PM
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