Let's Face the Facts

1937 ◽  
Vol 30 (2) ◽  
pp. 56-62
Author(s):  
Harl R. Douglass

For a generation there has been con siderable ferment with respect to the place and content of mathematics in the high school curriculum. Two central issues have been prominent: (1) Does mathematics as now taught constitute a more suitable content for the education of the great mass of high school pupils than other subject matter which might be substituted in its place? (2) Should thecontentof high school mathematics be thoroughly re-organized?

1986 ◽  
Vol 34 (2) ◽  
pp. 14-17
Author(s):  
Roger P. Day

While teaching junior high school mathematics at the Stavanger American School in Norway. I sensed the need to challenge the students' perceptions of mathematics. The seventh and eighth graders seemed most concerned with producing correct answers. They saw little need for questioning, evaluating, checking, and comparing. They simply wanted to be shown “how to do it.” I set out to implement a problem-solving component within the structure of the junior high school curriculum that would alter this. “right-wrong-produce an anwer” mind set. This article reports my experience and sets forth ideas that may work for you.


2011 ◽  
Vol 104 (7) ◽  
pp. 486-488
Author(s):  
Al Cuoco ◽  
E. Paul Goldenberg

In a recent “Sound Off” in Mathematics Teacher, Robert Reys and Rustin Reys (2009) contrasted two curricular approaches, what they called “subjectbased” and “integrated.” They came down heavily in favor of the latter, arguing that many of the difficulties that students have with high school mathematics are consequences of the subject–based organization.


1947 ◽  
Vol 40 (8) ◽  
pp. 377-380
Author(s):  
H. C. Trimble

The idea that pressure from the colleges has been a serious obstacle in the way of curriculum reform in the high school is a familiar one. Last spring I had an opportunity to visit a representative sample of Iowa high schools. Because I am employed in college teaching, and because I have heard so much about college domination of high school curriculum, I kept looking for evidences of the influence of the college in shaping the thinking of high school people.


2009 ◽  
Vol 103 (3) ◽  
pp. 164-166
Author(s):  
W. Gary Martin

The message of Focus in High School Mathematics: Reasoning and Sense Making, NCTM's new (2009) publication on high school mathematics, is simple: Reasoning and sense making provide a focus for high school mathematics that will give students a foundation for their future success. This focus continues NCTM's emphasis on mathematical processes that stretches back to the central emphasis placed on problem solving in An Agenda for Action (NCTM 1980) and forward to the Process Standards of Principles and Standards for School Mathematics (NCTM 2000).


1943 ◽  
Vol 36 (2) ◽  
pp. 57-61
Author(s):  
Harl R. Douglass

The prevailing high school curriculum in mathematics was formulated very much much as it now exists in the quarter century immediately following the Civil War—1865-1890. In 1890 there were about 250,000 boys and girls in high school—about one in ten of all youth of high school age. Less than three percent of young people were graduating from high school between 1880 and 1890. High schools were almost always looked upon as “prep” schools for “getting” the “bright boys” ready for college. The present high school curriculum in high school mathematics was built for those few who went on—the alber pupils, the college preparatory pupil, the future engineer, physicist, and teacher.


1975 ◽  
Vol 68 (2) ◽  
pp. 157-160
Author(s):  
John J. Rodgers

All too often in the teaching of high school mathematics courses, we overlook the inherent flexibility and interdependence of the subject matter. It is easy to fall into the trap of presenting algebra, trigonometry, geometry, and so on, as separate areas of study. It is because they were taught this way traditionally. With relatively minor changes in the order of presentation, we can demonstrate to the student the vital interconnectiveness of mathematics. For example, many courses in high school geometry include a unit on trigonometry. The student learns three trigonometric ratios, namely, the sine, the cosine, and the tangent. He also learns to use the trigonometric tables to solve for an unknown side of a right triangle. Generally this material comes quite late in the year.


1930 ◽  
Vol 23 (1) ◽  
pp. 36-51
Author(s):  
L. H. Whitcraft

Teachers of high school mathematics are confronted with the fact that there are more failures in the mathematics of the secondary school than in any other subject in the secondary school curriculum. These failures may be traced to some one of the following factors; (1) the materials of mathematics, consisting of the textbook, practice exercises, and special devices; (2) the teacher's method of instruction and manner of presenting the subject matter to the pupils; or (3) the methods and processes of the pupils themselves. Now that the teachers of mathematics realize that there is a great amount of criticism due the department of mathematics what are they going to do about it? The answer should be the same as the elementary teachers have given to the criticisms which have come to them-give remedial work.


1967 ◽  
Vol 14 (7) ◽  
pp. 547-548
Author(s):  
James E. Inskeep

The modern elementary school teacher deals easily with number sentences, inequalities, and other basic ideas for expressing the characteristics of number relationships. Such an expression as 4 + □ = 7 is common in most primary-grade classrooms. Ideas of negative integers are not unfamiliar to the elementary school pupil. Solution sets cover many a junior high school mathematics class chalkboard. These ideas are not difficult and seem quite natural in the context of the elementary- junior high school curriculum. But, when I went to school, we called it algebra! And we called it algebra in the first year of high school! No sooner.


1924 ◽  
Vol 17 (8) ◽  
pp. 495-499
Author(s):  
Lillis Price

In presenting the changes in subject matter and method needed to fit different ability groups in high school mathematics, I am compelled to limit my discussion to the work of the first two years as carried on in the majority of schools: namely, freshman algebra and plane geometry. My experience with ability groups limits me to this field and since a large number of high schools make two years of mathematics required for graduation, it is the field where different ability groups are most needed and the field in which I feel you would be most interested.


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