Lesson 1 Flashcards
Regular, repeated forms or designs; It indicates a sense of structure and organization; described as “intelligent design”
Patterns
Mirror images of each other
Symmetry
Objects are identical when divided in one plane
Bilateral Symmetry
Appears in its original position even if rotated
Rotational Symmetry
Number of rotation/fold in an object
Order of Rotation
The smallest angle that a figure can be rotated
Angle of Rotation
Formula for angle of rotation
Angle of Rotation = 360°/n
Enables bees to maximize storage space using the smallest amount of wax
Honeycomb
Finding the optimum method of filling up given space
Packing Problems
“that which is learnt”
Mathêma
Mathêma is derived from ___ and ___ that means “to learn”
“Manthano” and “Mathaino”
Science of structure, order, and relations
Mathematics
What are the characteristics of mathematics (8)
Classification, Logical Sequence, Structure, Precision and Accuracy, Abstractness, Symbolism, Applicability, Generalization
Series of mental relations; Objects are grouped according to similarities and differences
Classification
Flow in order; Each step can be derived from preceding steps
Logical Sequence
How close the measured value is to the true value
Accuracy
How close the measured value are from each other
Precision
Taking away any dependence to real-world objects
Abstractness
A language that is uniquely constructed such as mathematical signs
Symbolism
Can lie anywhere in a spectrum from simple (trivial) to complex (mysterious)
Applicability
Finding and singling out a whole group of similar objects
Generalization
What are the nature of mathematics (6)
A Science of Measures, An Intellectual Game, The Art of Drawing Conclusions, A Tool Subject, A System of Logical Procedure, An Intuitive Method
Involves interaction with a concrete system
A Science of Measures
Visual imagery; Requires a strong dose of patience, restraint, and concentration
An Intellectual Game