Half of American girls demonstrated by correctly answering questions about math principles that they had been taught and had remembered those principles. 19.3% of all boys internationally, 7.7% of American boys, and  a statistical zero percent of American girls (1.9% +/- 3%) correctly applied those principles to solving 28 basic TIMSS math questions  timss12mathsubject.pdf These were questions which 57.9% of the boys in the highest scoring countries answered correctly, suggesting that these were fair and reasonable questions. Zero percent of American girls correctly applied physics principles to to solving 29 basic TIMSS physics questions and more would have gotten the correct answer if they had just guessed on four of the nine multiple choice questions s12alm95.pdf The US scored DEAD LAST in more TIMSS 12th grade subjects than any other country. Is Marie Curie a fraud?

A TIMSS score of 456 is the score American 12th grade girls got in math, a subject in which they demonstrated zero ability to resolve math problems. They scored 405 in physics, 439 in calculus, 408 in geometry. This is an average of 427, which is the average score someone would get in TIMSS if they answered all the memorization questions and just guessed on the rest.

Conversely the international average for boys was 518 in math, 523 in physics, 545 in calculus, and 547 in geometry, which is an average of 533. This corresponds to an average percent correct of 19.3%.

At the top end is Switzerland Swiss boys correctly answered 57% of these questions, and their scores were 555, 529, 536, and 569, respectively, so an average score of 547 corresponds to 57% correct.

American 12th grade girls demonstrated in TIMSS that they had been taught and remembered basic math principles as well as or better than boys.  On 11 of 45 questions in Mathematics Literacy, and on 10 of 67 questions in Advanced Math, more girls than boys got the correct answers.

For example, 68% of girls compared to 66% of boys correctly answered Item K1. If xy = 1 and x is greater than 0, which of the following statements is true?

A. When x is greater than 1, y is negative.

B. When x is greater than 1, y is greater than 1.

C. When x is less than 1, y is less than 1.

D. As x increases, y increases.

E. As x increases, y decreases.

And 40% of girls but only 38% of boys correctly answered Item L3: A radio-active element decomposes according to the formula, y = y o e -kt where y is the mass of the element remaining after t days and y o is the value of y for t =0.  Find the value of the constant k for an element whose half-life (i.e. time to decompose half of the material) is 4 days.

A. 14 log e 2

B. log e12

C. log 2 e

D. (log e 2)1/4

E. 2e 4

On the 15 questions which required the application of these principles to problem solving, an average of ZERO percent of American 12th grade girls answered them correctly, compared to an international average of 18% of boys and an average of 57% of boys in the highest scoring countries.

Responsible citizenship requires responsible voting decisions, critical analysis of complex issues, and the ability to assess the probability of events.  But only 28.7% of American girls correctly answered a probability and statistics question, Item J13, "Overall Average Test Score".  If they had just guessed at the answer to this 4 answer multiple choice question, 25% of them would have answered correctly, which means that at most only 3.7% of them demonstrated any ability in this probability and statistics question.  Because the standard error in TIMSS is plus or minus 3%, we can't be sure that more than 0.7% of American 12th grade girls understand probability and statistics.

After subtracting for multiple choice guesses, 29.4% of American boys, 55% of Israeli boys, and an average of 34.5% of boys internationally, answered this question correctly, demonstrating that these were reasonable questions.  One of the most important characteristics of a juror in a country where a trial by jury is a right is the ability of that juror to accurately assess the probability of guilt.  What an irresponsible event it was, then, to allow on juries so many citizens (women) whose scientifically proven ability to assess probability is almost zero percent.  This alone could explain the nation's skyrocketing incarceration and false conviction rates, which both corresponded with skyrocketing crime rates.

 28 TIMSS 12th Grade Math Questions, Percent Correct by Country, Item Number & Question, Released by TIMSS in Jan. 2000. Highest Scoring Country Percent Correct Highest Scoring Country Boys Interna tional Average Boys US Boys US Girls Compen sation for guesses on multiple choice questions Interna tional Average Corrected For Guesses Boys US Correc ted for Guesses Boys US Correc ted For Guesses Girls I05 NEW MEAN AND STANDARD DEVIATION Denmark 56.4 41.4 29.8 26.3 20.0 21.4 9.8 6.3 I06 USING CHAIN RULE Cyprus 74.9 53.5 38.1 32.6 25.0 28.5 13.1 7.6 I09 INTEGER COORDINATES OF FUNCTION Lithuania 86.9 66.3 34.7 29.2 25.0 41.3 9.7 4.2 J02 CUBING A TRIGONOMETRIC FUNCTION WITH IMAGINARY NUMBERS Russia 63 40.1 26.5 21.5 20.0 20.1 6.5 1.5 J06 RADIUS OF CYLINDER WHILE MAXIMIZING VOLUME Switzerland 52 39 25.4 25.2 25.0 14.0 0.4 0.2 J09 EQUATION REPRESENTING SET OF POINTS Australia 39.2 28.1 20.9 18.0 20.0 8.1 0.9 -2.0 J10 VALUE OF VECTOR IN TRIANGLE Cyprus 60.5 41.1 28.5 26.5 20.0 21.1 8.5 6.5 J13 OVERALL AVERAGE TEST SCORE Switzerland 84.6 59.5 54.6 28.7 20.0 39.5 34.6 8.7 J15B FUNCTION/ WHERE NOT DIFFERENTIABLE Denmark 30.5 11 7.4 8.4 0.0 11.0 7.4 8.4 J16B TRIANGLE ABC/ ROTATION Russia 50.8 30 14.2 7.4 20.0 10.0 -5.8 -12.6 J17 LIMIT OF PERIMETER OF POLYGON CONTAINED IN A CIRCLE France 51.9 34.6 17.6 14.6 20.0 14.6 -2.4 -5.4 J18 STEPS FOR MATHEMATICAL INDUCTION Greece 77 20.2 0.4 1.4 0.0 20.2 0.4 1.4 J19 PROVE THAT E IS MIDPOINT OF QUADRILATERAL Israel 74 37.6 24.1 18.7 20.0 17.6 4.1 -1.3 K02 PERMUTATIONS OF BOOKS ON A SHELF Australia 56.7 30.5 16 16.8 20.0 10.5 -4.0 -3.2 K04 LIMIT OF A FUNCTION Greece 51.9 29.4 27.4 24.9 20.0 9.4 7.4 4.9 K08 CONIC REPRESENTED BY AN EQUATION France 82.1 30.2 50.7 24.0 25.0 5.2 25.7 -1.0 K09 DISTANCE BETWEEN INTERCEPTS ON A PLANE Switzerland 58.3 47.3 26 28.6 25.0 22.3 1.0 3.6 K10 ANGLE INSCRIBED BY FIGURES INSIDE A SEMICIRCLE Cyprus 60.5 21.8 50.7 8.5 25.0 -3.2 25.7 -16.5 K14 LENGTH OF STRING AROUND ROD Lithuania 27.9 13.7 6.2 1.0 0.0 13.7 6.2 1.0 K15 COMPLEX NUMBER SOLUTION OF EQUATION Israel 50 20.6 3.3 0.8 0.0 20.6 3.3 0.8 K18 GEOMETRIC PROOF OF ISOSCELES TRIANGLE France 49.5 34.8 8.2 11.4 0.0 34.8 8.2 11.4 L05 SUM OF INFINITE GEOMETRIC SERIES Lithuania 69 50.6 30.2 22.0 20.0 30.6 10.2 2.0 L06 CRITICAL POINT OF VELOCITY EQUATION Australia 69.2 34.1 27.4 23.8 20.0 14.1 7.4 3.8 L07 GRAPH OF y= f( x) Sweden 53.5 38.3 30.5 24.0 20.0 18.3 10.5 4.0 L10 PROBABILITY OF AT LEAST ONE ALARM OPERATING Australia 48.1 31.9 27.2 14.9 20.0 11.9 7.2 -5.1 L13 ANGLE BETWEEN TWO VECTORS Greece 54.8 35.1 3.4 11.2 0.0 35.1 3.4 11.2 L16 SOLUTION OF REAL VALUES OF A QUADRATIC EQUATION Lithuania 68.5 26.2 8.2 6.4 0.0 26.2 8.2 6.4 L17 EQUATION FOR CIRCLE Greece 50.7 22.7 8 5.7 0.0 22.7 8.0 5.7 Average 59.0% 34.6% 23.1% 17.2% 15.4% 19.3% 7.7% 1.9%

 Per TIMSS, error is plus or minus 3%