Trignometry in the High School

1932 ◽  
Vol 25 (5) ◽  
pp. 303-308
Author(s):  
H. W. Bailey
Keyword(s):  
High School ◽  
Plane Geometry ◽  
University Of Illinois ◽  
Solid Geometry ◽  
The University

Introduction.—The University of Illinois has had for many years a two hour course in trigonometry, known to several thousand present and former students as Mathematics 4; the prerequisites are one unit of algebra and one unit of plane geometry. In the fall of 1924 there was introduced a two hour course in advanced trigonometry, called Mathematics 5. The prerequisites for this course are one and one-half units of algebra, one unit of plane geometry, one-half unit of solid geometry, and one-half unit of trigonometry or Mathematics 4. The experience of the department with this latter course forms the basis of my remarks.

Arithmetic with Frames

1957 ◽  
Vol 4 (3) ◽  
pp. 119-124
Author(s):  
_ _
Keyword(s):  
High School ◽  
Elementary School ◽  
High School Students ◽  
Elementary School Students ◽  
School Mathematics ◽  
School Students ◽  
Project Staff ◽  
University Of Illinois ◽  
The University

The project of the university of Illinois Committee on school Mathematics is primarily concerned with students in grades nine through twelve. Frequently, the Project staff is asked if its work with high school students has implications for students in earlier grades, that is, if in attempting to work out better ways of presenting material to high school students, ideas have occurred for better ways to present mathematics to elementary school students.

A Maintenance Program for Tenth Grade Mathematics

1932 ◽  
Vol 25 (4) ◽  
pp. 204-208
Author(s):  
C. C. Pruitt
Keyword(s):  
High School ◽  
School Curriculum ◽  
Senior High School ◽  
Plane Geometry ◽  
High School Curriculum ◽  
Solid Geometry ◽  
Maintenance Program ◽  
Tenth Grade

Probably no subject in the high school curriculum is receiving more attention today than that of plane geometry in the tenth grade. Much of this attention is directed towards the possibility of fusing plane and solid geometry into one course. From this situaation, one would infer that all is not well in either the field of plane geometry or that of solid, with probability in both. I think all teachers of mathematics in the senior high school are agreed that the teaching of plane geometry has not advanced to the point where we are satisfied with the results obtained.

Functions

1967 ◽  
Vol 14 (8) ◽  
pp. 657-664
Author(s):  
Edward Esty
Keyword(s):  
High School ◽  
Elementary School ◽  
School Children ◽  
Elementary School Children ◽  
University Of Illinois ◽  
The University

Some of the recent elementary school arithmetic textbooks introduce functions, a topic formerly appearing no earlier than in high school. The University of Illinois Arithmetic Project has long used functions (called “jumping rules” by the Project) in classes for elementary school children.

A Statistical Study in Correlation of Efficiency in Secondary Mathematics and Efficiency in other High School Branches

1919 ◽  
Vol 11 (4) ◽  
pp. 172-176
Author(s):  
Nelle L. Ingels
Keyword(s):  
High School ◽  
Foreign Language ◽  
Statistical Study ◽  
Secondary Mathematics ◽  
University Of Illinois ◽  
Similar Investigation ◽  
The University

It is the purpose of this paper to record the results obtained from an investigation concerning the correlation of efficiency— (1) in the study of mathematics and history, (2) in the study of mathematics and foreign language, and (3) in the study of history and foreign language. A similar investigation was made several years ago by Prof. H. L. Rietz and Miss Imogene Shade, “On the Correlation of Efficiency in Mathematics and Efficiency in Other Branches,” in the University of Illinois.*

Advantages of A General Course in Mathematics for the First Two Years in High School

1923 ◽  
Vol 16 (7) ◽  
pp. 421-424
Author(s):  
Louis A. McCoy
Keyword(s):  
High School ◽  
Subject Matter ◽  
Plane Geometry ◽  
School Work ◽  
Solid Geometry ◽  
One Year

Shall we have a general course in mathematics for the first two years in high school, or shall we stick to the time-honored one year of algebra and one year of plane geometry? By the general course we mean a course, unified as far as possible from the standpoint of subject-matter, coherently connected, and consisting of some arithmetic, some algebra, some plane geometry, a little solid geometry, and the idea and the use of the function in numerical trigonometry. If there be any justification for such a course, it must be that it can do more for a pupil, give him better equipment, and more power, so that he can take his place as an intelligent member of the community if he should leave school, or be a greater aid to him should he continue his school work in preparation for college.

Ungraded Classes for Superior Pupils

1944 ◽  
Vol 37 (2) ◽  
pp. 81-83
Author(s):  
Burr D. Coe
Keyword(s):  
High School ◽  
Plane Geometry ◽  
Spherical Trigonometry ◽  
Elementary Algebra ◽  
Solid Geometry ◽  
Intermediate Algebra

Elementary algebra, plane geometry, intermediate algebra, plane and spherical trigonometry, solid geometry, and advanced algebra are all being studied in the same room at the same time. Sounds something like a one-room country school, doesn't it? This is being done by a group of mentally superior pupils in two ungraded classes (taught by the writer) at Monroe High School.

Tips for Beginners: Building an electrical device for use in teaching logic

1962 ◽  
Vol 55 (3) ◽  
pp. 203-206
Author(s):  
Richard P. Giles
Keyword(s):  
High School ◽  
Prospective Teachers ◽  
Mathematical Concept ◽  
Truth Table ◽  
Symbolic Logic ◽  
University Of Illinois ◽  
Electrical Device ◽  
School Classroom ◽  
High School Classroom ◽  
The University

In a mathematics course designed for prospective teachers at the University of Illinois, the students were required to design and build a project that could be used in a high-school classroom to illustrate or demonstrate some mathematical concept. Since earlier in the semester we had discussed the growing emphasis that is being given in high schools to the study of symbolic logic, I decided to build an electrical device that would graphically represent the truth table and the various operations which can be performed on propositions.

Discussion

1926 ◽  
Vol 19 (6) ◽  
pp. 373-374
Author(s):  
P. Stroup
Keyword(s):  
High School ◽  
Junior High School ◽  
Junior High ◽  
Plane Geometry ◽  
Solid Geometry ◽  
Mathematics Section ◽  
State Educational

In the Mathematics section of the Ohio State Educational Conference at Columbus, April 9, 1926, Miss Marie Gugle of that city read a paper on the above subject. A change suggested was that the extended teaching of intuitive geometry in the Junior High School be taken advantage of by spending less time on demonstrative plane geometry in the tenth year and thus make room for solid geometry as a part of that year's work. The high school course would then be completed with the customary algebra, some analytics and trigonometry.

Minimum Mathematical Needs of Prospective Students in a College of Engineering

1952 ◽  
Vol 45 (2) ◽  
pp. 89-93
Author(s):  
Kenneth B. Henderson ◽  
Kern Dickman
Keyword(s):  
High School ◽  
Mathematics Teachers ◽  
School Mathematics ◽  
High School Mathematics ◽  
Prospective Students ◽  
University Of Illinois ◽  
Course Content ◽  
College Of Engineering ◽  
The University ◽  
High School Mathematics Teachers

There are several reasons why some students enter a college of engineering lacking adequate preparation in mathematics. One is that the mathematical needs of such students have not been clearly defined. It seems to be an auspicious hypothesis to assume that, if these needs are identified in some specificity and high school mathematics teachers apprized of them, students can be better prepared for collegiate work. Acting on this hypothesis, a study was conducted to discover the minimum mathematical needs of students who expect to enter the College of Engineering of the University of Illinois. Since the curricula and course content of most colleges of engineering tend to be similar, it is assumed that, in the absence of other data, these needs will serve very well to indicate “what it takes” in most colleges of engineering.

Son of the Heartland

2021 ◽  
pp. 8-24
Author(s):  
Andrew Zangwill
Keyword(s):  
High School ◽  
Social Group ◽  
Harvard University ◽  
Academic Excellence ◽  
University Of Illinois ◽  
Liberal Politics ◽  
Speed Skating ◽  
The Family ◽  
The University

Anderson’s parents come from academic families in Indiana. Phil and his sister Grace grew up in Urbana, Illinois because their father was a plant pathologist at the University of Illinois (UI). Mother Elsie demanded academic excellence and respect for others. Father Harry was a model of integrity, a fact displayed during the so-called Krebiozen affair. The Depression affected the family relatively little and Phil acquired his lifelong liberal politics from a UI social group called the Saturday Hikers. At age twelve, he accompanies his family to Europe (a sabbatical for his father) where they observe the rise of Nazism. Phil attends and excels at the University High School where he enjoys math, tennis, and speed skating, but not physics. He wins a National Scholarship to attend Harvard University with a plan to major in mathematics.

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