Regents Recap — June 2013: Where Do Circles Belong?

Here is another installment in my series reviewing the NY State Regents exams in mathematics.

Here are two questions from the June 2013 exams.

Two Circle Questions

These questions aren’t particularly interesting:  both give the graph of a circle and ask for its equation.  Since the questions are nearly identical, it would be strange to see them on the same exam.  It is even stranger, then, to see them on two different exams:  one was on the Geometry exam, the other the Algebra 2 / Trig exam.

Why does the same kind of question appear on the terminal exams of two different, sequential courses?  Are students supposed to learn this topic in Geometry, or in Algebra 2 / Trig?  The test-makers don’t seem to know, which calls into question the fairness of these exams.

And the question of fairness has implications for teachers as well as students.  Student exam scores now constitute a substantial component of a teacher’s yearly evaluation.  If students are supposed to learn how to find the equation of a circle in Geometry class, is it fair to use such a question to evaluate an Algebra 2 / Trig teacher?

The fact that test-makers don’t know which topics belong in which courses raises some serious questions about the validity of using these test results to evaluate teacher performance.  In addition, one wonders how facing the same question on sequential exams impacts student growth measurements so popular among educational policymakers nowadays.

Unfortunately, this is only the latest in a long line of inappropriate questions on math Regents exams.

MathMatters! at TEDxNYED

mathmatters at tedxnyedI am very proud of my students, Ahmed and Jason, who presented their peer-to-peer math enrichment program MathMatters! at this year’s TEDxNYED conference.

Ahmed and Jason created a program where NYC high school students travel to middle schools and run workshops on advanced and extra-curricular mathematics.  Their goal is to spread the beauty and fun of mathematics to younger students.

Ahmed and Jason put together a team of 20 high school students to develop and deliver fun and engaging lessons on Number Theory, Game Theory, Graph Theory, and many other topics.  And although they are graduating this year, Ahmed and Jason have ensured that MathMatters! will live on by training the next generation of student-leaders.  They also hope to continue to grow the program while at college.

You can learn more about their program MathMatters! here,  and you can watch their full TEDx talk here.

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