But What if it Doesn't Factor?

1973 ◽  
Vol 66 (2) ◽  
pp. 155-157
Author(s):  
Larew M. Collister ◽  
Thomas R. McCabe

A young student teacher was presenting a lesson in the solving of quadratic equations in an elementary algebra class. In the introductory exercises every quadratic expression factored into two binomials with integral coefficients; the student teacher proceeded to set each factor equal to zero and solve for values of the variable.

1996 ◽  
Vol 89 (2) ◽  
pp. 154-157
Author(s):  
Theodor Korithoski

What simple techniques are available to integrate technology and real-life mathematics into an algebra class? What useful tools can assist teachers in this task?


1994 ◽  
Vol 87 (2) ◽  
pp. 89
Author(s):  
Richard Forringer

My first-year-algebra class has just finished the topic of factoring polynomials. The groundwork has been laid for problem solving with quadratic equations, one of the real eye-openers in the course. I look forward to teaching this topic with the excitement and anticipation of knowing what is to come. My students sense my excitement but do not fully understand it and have not experienced it for themselves. As Confucius once observed, “Everything has its beauty, but not everyone sees it!” Many students have no way of knowing that this part of algebra is incredibly significant. A short, simple statement, “If the product of two numbers is zero, then one of those numbers must be zero,” seems too easy, too self-evident, and too obvious to be so important!


1946 ◽  
Vol 39 (3) ◽  
pp. 133
Author(s):  
B. D. Roberts

1964 ◽  
Vol 57 (6) ◽  
pp. 415-416
Author(s):  
Henry D. Snyder

In a study of quadratic equations and quadratic functions, my second-year algebra class embarked on a discovery lesson which turned out to be the most successful class session I have ever had. The lesson plan called for a consideration of quadratic inequalities and their solutions, but we began as usual by discussing the homework of the previous day.


2019 ◽  
Vol 1 (2) ◽  
pp. 8-15
Author(s):  
Firda Alfiana Patricia

This study aims to describe student errors in solving quadratic equations in elementary algebra courses. Mistakes can teach students and lecturers to reflect. This research was conducted on students of 2018-B Mathematics Education program IKIP Budi Utomo Malang. Errors found include mistakes in facts, namely errors in understanding what is known in the problem. The principle error is that the formula used is not in accordance with the questions asked.


2014 ◽  
Author(s):  
Anne J. North ◽  
W. Jordan Charles
Keyword(s):  

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