(Our greatest discovery and teaching tool -- trivialized by Standardized Tests!)
HOMOLOGY: DISCOVERY-TEACHING PATTERNS
TYPE1ST MEMBER2ND MEMBER3RD MEMBER4TH MEMBERCOMMENT
Standard
Form
ABCDA : B :: C : D
(A is to B as
C is to D
Rational
Form
abcda/b = c/d (1/2 = 3/6)
Arithmetic-
Algebra
nines-
rule
elevens-
rule
(x - 1)-
rule
(x + 1)-
rule
Elementary math helps HS math
Abstract algebra(x - 1)-
rule
(x + 1)-
rule
symmetric-
forms
alternating
forms
HS algebra to abstract algebra
Solving Equationsgenerating functiondifference equationpower seriesdifferential equationssolving methods
Multiple
Choice
Form
leghuman_____vehicleamong multiple choices for blank is "wheel"
Metzger's BYPASS ThesisHominidHumanExternal BypassInternalized BypassHominid became human thru INTERNALIZING BYPASS
Explaining
Process
Forms
digitalanalogicstairstepsrampramp/stairs are loconeks for digital/analogic coneks & their hiconeks
23RD PSALMThe LordHis PeopleMy ShepherdThe Sheepancient loconek of homology
Daily Life"my first
husband"
"my second
husband"
"hyena""sloth"Ok! You
write it
Teaching
Optics
Fresnel lensConvex lensstairstepsrampFresnel lens made
powerful
lighthouses
possible
Teaching
Electro-
magnetism
ElectricityMagnetismTranslationRotationP. W. Atkins
Molecular Quantum
Mechanics
American
Music
BluesJazzTragedyDrama-
turgy
jazz uses bends and
slides of blues but improvi-
sation is its forte
LifegenecellsoftwarehardwareBoyce Reinberger's Book, PBS 4/25/97
Any c-column, r-row Table (c x r Table) has a syntactic transform as a homology list.