My comparison was made between students who are doing undergrad mathematics vs. undergrad secondary mathematics education.

Cut-and-paste from one undergrad program...

MATHEMATICS EDUCATION:

Required Mathematics (36 credits):

MATH 122 - Analytic Geometry 3 credits
MATH 131 - Calculus I 4 credits
MATH 132 - Calculus II 4 credits
MATH 231 - Calculus III 4 credits
MATH 323 - College Geometry 3 credits
MATH 341 - Probability and Statistics 3 credits
MATH 380 - Introduction to Abstract Mathematics 3 credits
MATH 410 - Introduction to Analysis 3 credits
MATH 411 - Theory of Numbers 3 credits
MATH 412 - Abstract Algebra 3 credits
MATH 413 - Linear Algebra I 3 credits

Elective Mathematics (6 credits):

6 credits from:

MATH 320 - Discrete Mathematics 3 credits
MATH 333 - Differential Equations 3 credits
MATH 430 - Real Variables I 3 credits
MATH 431 - Complex Variables I 3 credits
MATH 441 - Theory of Probability 4 credits
MATH 442 - Mathematical Statistics 4 credits
MATH 490 - Topics in Mathematics 2-6 credits
CHEM 321 - Analytical Chemistry 4 credits
CHEM 461 - Physical Chemistry I 4 credits
PHYS 215 - Modern Physics I 3 credits
PHYS 216 - Modern Physics II 3 credits
PHYS 310 - Analytical Mechanics 3 credits
PHYS 341 - Electricity and Magnetism 3 credits

MATHEMATICS MAJOR:

Required Mathematics (27 credits):

MATH 122 - Analytic Geometry 3 credits
MATH 131 - Calculus I 4 credits
MATH 132 - Calculus II 4 credits
MATH 231 - Calculus III 4 credits
MATH 380 - Introduction to Abstract Mathematics 3 credits
MATH 410 - Introduction to Analysis 3 credits
MATH 412 - Abstract Algebra 3 credits
MATH 413 - Linear Algebra I 3 credits

Elective Mathematics (12 credits):

Select 12 credits, 6 of which must be at the 400 level, from the following:

MATH 320 - Discrete Mathematics 3 credits
MATH 323 - College Geometry 3 credits
MATH 333 - Differential Equations 3 credits
MATH 341 - Probability and Statistics 3 credits
MATH 411 - Theory of Numbers 3 credits
MATH 430 - Real Variables I 3 credits
MATH 431 - Complex Variables I 3 credits
MATH 441 - Theory of Probability 4 credits
MATH 442 - Mathematical Statistics 4 credits
MATH 490 - Topics in Mathematics 2-6 credits

The actual "math content" for a math ed major at the undergrad level is CLEARLY greater than plain-old "Algebra" and "Geometry." In fact, a student in the secondary undergrad math ed program at this particular college (a four-year "state university") actually takes MORE college math courses (42 credit hours) than a student who is majoring in mathematics (39 credit hours)!!! There are too many people who incorrectly believe that the highest math class a math ed major takes at the college level is "Calculus for Dummies" or something like that, with the majority of their classes things like "Writing on Chalkboards 101" and "Taking Attendance II."