Teaching Arithmetic Test 1 Flashcards
Arithmetic is
an exact science and teaches the absoluteness of God
Arithmetic teaches
order and design
The purpose of Arithmetic
serve science
Arithmetic has been called
the queen of the sciences
Christian approach to teaching Elementary Arithmetic
A. Content
B. Process
C. Philosophy
D. Methodology
E. The Teacher
A. Content
- Reason and order
- Must be taught according to organized plan
A. Content should include
drill, both oral and written
teaching of the new material
practice of the new material
review and reinforcement
B. Process
1.Students learn best when they are taught from the particular to the general, from the concrete to abstract, from the known to the unknown
2. The new math does the opposite
3. Elementary math emphasizes and lays a foundation by sequence
C. Philosophy
- We advocate traditional math
- Traditional math has been proven effective
- we must teach math s having absolutes
- traditional arithmetic is Christian elementary arithmetic
C. Philosophy: what would you tell a parent if you had to define traditional education
a. Its criterion- referenced instead of norm-referenced
b. there is individual accountability
c. content rich class
d. planned purposeful approach to teaching
e. there are learning outcomes
f. lessons are taught from the known to the unknown
g. teacher directed
D. Methodology
- your philosophy will determine your methodology
- students learn by hearing facts over and over
D. Methodology: the purpose of drill
drill is a tool; it is not an end to itself (they have to be able to apply things they learn otherwise it’s pointless)
D. Methodology: four reasons why drill is important from the students perspective
a. train students to be accurate in their thinking
b. to build speed
c. to reinforce material taught
d. to strengthen weak areas
D. Methodology: ways to drill
individual students
oral and written review
board work
games and contests
workbook
homework
help class
3 things to remember when introducing a chart
- teaching it before drilling it
- say the title (if there is one) each time it is recited
- Demonstrate (when applicable)
criterion-referenced
standard that has to be met
norm-referenced
compared to the class
E. The teacher
- be faithful in teaching and drilling facts
- teach them in a reasonable and consistent way
How did new math get started
October 4, 1957 Russians triggered the space race. Americans felt behind the Russians in Mathematics which created set theory. Set Theory was forced on teachers and no one liked this; it was not tested.
What are two types of mathematics
Pure and applied
Pure mathematics
study of mathematical concepts independently outside of mathematics
not purely motivated by applications
they study math because they love it
Applied mathematics
study of math to help mankind
using math for the good of mankind
How has new math affected the teaching of mathematics today
theoretical math being pushed to lower grades. Pushing out arithmetic . concrete to abstract; abstract to concrete
Elements of new math
- has an increased emphasis upon the structure of mathematics; its laws and principles
- has an increased emphasis upon letting the students figure things out for themselves
- has an increased emphasis upon correct terminology
- readjusts the grade placement of concepts
- includes concepts not typically taught in Elementary school