What in High School Mathematics is of Most Importance as a Preparation for Analytic Geometry and the Calculus in College?

1911 ◽  
Vol 4 (2) ◽  
pp. 65-74
Author(s):  
Maurice J. Babb
Keyword(s):  
High School ◽  
School Mathematics ◽  
Analytic Geometry ◽  
High School Mathematics ◽  
Binomial Theorem ◽  
Quadratic Equations ◽  
Solution Of Equations ◽  
Second Degree

I asked this question of one of my sophomore classes and they all answered, “Algebra!!” Then I asked “What part of algebra?” and they answered, “ Simplification of all kinds of expressions, notion of + and —, transposition, substitution of other expressions for ‘unknowns,’ radicals, use of fractional and negative exponents, binomial theorem, solution of equations in one and two unknowns (either of first and second degree), quadratic equations, especially the theory (this last very emphatic), expressions containing the logarithmic notation, graphs, and the language.”

What in High School Mathematics is of Most Importance as a Preparation for Analytic Geometry and the Calculus in College

1911 ◽  
Vol 4 (2) ◽  
pp. 58-64
Author(s):  
Arthur Sullivan Gale
Keyword(s):  
High School ◽  
General Problem ◽  
Large Body ◽  
School Mathematics ◽  
College Instructors ◽  
Analytic Geometry ◽  
High School Mathematics ◽  
College Entrance ◽  
Entrance Examinations ◽  
College Instructor

One of the educational problems of the day, demanding solution with increasing insistence, is the question of the inter-relations of diverse college entrance examinations and the complex curriculum of the modern high school. This general problem is immediately suggested when a college instructor proposes to indicate the portions of the mathematical subjects commonly taught in the high school which are of most importance for the study of analytic geometry and the calculus. For such an indication implies that the colleges would like to have these portions of the elementary branches emphasized in the high school, and I can almost hear some high school instructor, on looking over the program, say to himself, “An attempt of the college to impose further unreasonable demands on the high school.” Far be it from me to consider the topic proposed in any such spirit. Rather, let the discussion be conducted on the lines, fostered by this and other similar associations, along which progressive high school and college instructors are working harmoniously to secure in the high school a curriculum adapted to the needs of the large body of students who do not go to college and to the adequate preparation of the comparatively few who do.

scholarly journals The Alberta High School Mathematics Program

1959 ◽  
Vol 2 (1) ◽  
pp. 64-65
Author(s):  
E.S. Keeping
Keyword(s):  
High School ◽  
High Schools ◽  
Euclidean Geometry ◽  
Systems Of Equations ◽  
High School Mathematics ◽  
Binomial Theorem ◽  
Quadratic Equations ◽  
Mathematics Program ◽  
And Mathematics ◽  
Simple Equations

Alberta high schools (Grades 10 to 12) give several courses in Mathematics, of which three are compulsory for those students intending to enter University. These three are Mathematics 10 (elements of Euclidean geometry, algebra up to simple equations, arithmetic), Mathematics 20 (geometry of the circle, loci, algebra up to quadratic equations) and Mathematics .30 (algebra, including systems of equations, progressions, permutations and combinations and the binomial theorem).

Some Considerations Appertaining to the Content of High School Mathematics

1934 ◽  
Vol 27 (1) ◽  
pp. 41-52
Author(s):  
Gordon R. Mirick
Keyword(s):  
High School ◽  
Point Of View ◽  
School Mathematics ◽  
First Year ◽  
Analytic Geometry ◽  
High School Mathematics ◽  
First Year Students ◽  
Mathematics Courses ◽  
Solid Geometry ◽  
The Subject

Recent years have witnessed a change in the content of courses in mathematics for the seventh, eighth and ninth grades. There has been a change not only in content but in the point of view in the teaching of the subject. A study of the mathematics courses offered to first-year students in our various colleges reveals two important changes. First, the elements of analytic geometry and of the calculus are introduced earlier, and second, there is much less emphasis on Euclidean solid geometry. Pupils who do not take this subject in high school often miss it in college, for the number of colleges offering a course in Euclidean solid geometry is fast diminishing.

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