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In Central Harlem, except for one school, sixth graders had a disastrous Common Core math proficient rate of 7.8%, seventh graders 2.8%, and eighth graders 6.9%.
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In one case study, the phantom teacher earned a "partially proficient" rating for failing to establish a "safe, inclusive and respectful learning environment" and showing weak evidence of lesson planning.
Only 20percentt of low-income eighth-graders were proficient in math -- less than half the proficiency rate of more advantaged students.
But proficiency rates are low overall: Just 13percentt of public school students in the city were proficient in math in 2014, while 17percentt of students at charter schools achieved proficiency.
In a recent federal assessment, just over 20percentt of students managed to rate "proficient" on a test covering the principles and workings of American government.
Though 89 percent of P.S. 146 fifth graders were rated proficient in math in 2009, the year before, as fourth graders, 97 percent were rated as proficient.
For example, in 2011, Illinois passed SB7, which allows previously tenured teachers who earned either a "Proficient" or "Excellent" rating to be eligible for tenure in 2 years if they earned an "Excellent" rating in each of the first two years in the new district.
Of eighth graders, 21.3percentt were rated proficient in reading, 37percentt in math; citywide averages were 43 and 59.6percentt.
In Arizona, for example, only one-fifth of eighth-graders were rated "proficient" at maths after taking the state test in 2003.
At her middle school, which serves a large population of students from poor families, 7 percent of students were rated proficient in English, and 10 percent in math.
In Delaware Mr Markell points to last year's double-digit increases in the proportion of students rated "proficient" in reading and maths in statewide tests.
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