(Draft 1: Conservative estimates)

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Summary of Dongchan Lee s new discoveries after the release of the TIMSS 2015 and PISA 2015 results on math, science, and readings & the historic impacts for the global math education and economy of all the nations Prepared by Dongchan Lee Date: Janaury 13 th, 2017 (Draft 1: Conservative estimates) All rights reserved by Dongchan Lee

GDP PER CAPITA BASED ON PPP IN 2015 s s NORMALIZED COMPOSITE MATH SCORES OF ALL TIMSS AND PISA MATH VS. GDP PER CAPITA BASED ON PPP IN 2015 AFTER 12 OUTLIERS (8 TOP OIL -RICHEST COUNTRIES & VIETNAM) & 4 OTHERS (FROM THE TOTAL 84 COUNTRY DATA SET). TAIPEI MISSING LIE $82,700 $72,700 SGP y = 439.09e 0.0088x R² = 0.7314 An amazing power of reducing the math poverty in the developed nations (the OECD level nations) by 20-30%. $62,700 $52,700 $42,700 $32,700 $22,700 $12,700 DOM SLV KGZ USA CHE IRL AUT NLD DEU SWEAUS DNK CAN ISL BEL GBR FIN FRA NZL ITA ISRESP MLT CZE CYP SVN PRT LTU SVK EST GRC MYS KAZ POL HUN RUS LVA CHL PAN URY HRV ARG ROM MUS TUR IRN MEX AZE BGR BRA MNE CRI THA COL DZAMKD LBN SRB PER TUN ALB MNG IDN JOR KSV GEO UKR MAR PHL $2,700 300 350 400 450 500 550 600 JPN HKG KOR Counttries in the regression Expon. (Counttries in the regression) You empower the math poorest out of their stangnations. The result is that you all get richer than all you richer friends that you envy. Except that you make this happen in a few or several decades instead of 100-200 years. NORMALIZED COMPOSITE MATH SCORES OF ALL TIMSS AND PISA When the log is converted to the normal linear space growths.

LOG OF GDP PER CAPITA BASED ON PPP IN 2015 $143,489 NORMALIZED COMPOSITE MATH SCORES OF ALL TIMSS AND PISA MATH VS. LOG OF GDP PER CAPITA BASED ON PPP IN 2015 AFTER 12 OUTLIERS (8 TOP OIL-RICHEST COUNTRIES & VIETNAM) & 4 OTHERS (FROM THE TOTAL 84 COUNTRY DATA SET). TAIPEI MISSING MAC The red arrow is the math chasm between the top math countries and poorest math countries in the entire PISA and TIMSS tests $53,144 $19,683 $7,290 DOM SLV KGZ CHE USA IRL DEU NLD DNK AUT ISL SWEAUSCAN BEL FRA GBR FIN NZL ITA ISR ESP CYP MLT SVN CZE PRT LTU SVK EST MYS GRC KAZ POL HUN RUS LVA CHL PAN URY HRV ARG ROM MUS TUR IRN MEX AZEBGR BRA THA MNE CRI DZA LBN COL MKD SRB PER TUN MNG JOR ALB IDN MAR PHL KSV GEO UKR MMU1 math boost ~ 1.35 STDEV, which occupy more than ½ of the entire PISA-TIMSS math range worldwide. LIE JPN HKG KOR SGP y = 439.09e 0.0088x R² = 0.7314 Counttries in the regression Expon. (Counttries in the regression) $2,700 300 350 400 450 500 550 600 To reduce the math poverty (about PISA math 420 cut off point) by 20-30% in the developed nations ~ is roughly the arrow growth you see here. NORMALIZED COMPOSITE MATH SCORES OF ALL TIMSS AND PISA

Summary of Dongchan Lee s new discoveries after the release of the TIMSS 2015 and PISA 2015 results on math, science, and readings 1) Math skills Income per capita: Math 1 STDEV of math growth ~ 2.3-2.4 times GDP per capita growths in PPP 2) All developed Englihs speaking countries and most of the Latin American countries have the stronger reading scores than math scores by large margins. 3) The difference of the math scores reading scores can explain the income growths better than the mean school years if we exclude 3-6 outliers (5-10% of the participating number of nations). 4) All developed English speaking countries and most of the Latin American countries have the stronger reading scores than math scores by large margins. 5) As years go by, the impact of the relative strength of math over reading skills tend to impact the GDP per capita more strongly, about 50-75% of the overall impact levels of the math average scores to the income per capita.

Summary of Dongchan Lee s new discoveries after the release of the TIMSS 2015 and PISA 2015 results on math 1) The results of the PISA 2015, TIMSS 2015, and the overall patterns of the math score growths past 15-20 years show that most developed nations are stagnating. 2) The overall lost years of math growth in the USA, South Korea, etc. for instance, show that the estimated GDP loss to these nations are at least 2-5 years of the annual GDP over the next half a century. (in upcoming paper). 3) In spite of the fast rise of the technology-based education, including that for mathematics in most of the developed countries, obviously the technology can t solve the math EDU stagnations. There must be alternatives. NOTE: if the governments stay as they have been, the history of the past 15-20 years clearly show that there are little chances for them to raise their national math average. The technology has limits. Only MMU1 can show the first signs of evidences so that all can move forward after the initial more evidences in the developed nations rise.

MMU1 (Mini Mini USL1) proposals to Americas 2017 Ending Math Poverty www.uslgoglobal.com With Dongchan Lee To raise nationally this takes 50-150 years normally. 25% 25% 25% 25% Very quickly The Best math 50% (with the school teachers) as appetizers ~ 1.35 STDEV advances The Worst math 50% with Dongchan Lee

PISA & TIMSS math (the 2 Olympics or World Cup of math and science education assessments in the world) growth stagnations or even collapses 2000-2015: the average math and percentile distributions of PISA (15 years) & TIMSS (20 years) & why MMU1 by Dongchan Lee can change these all quickly 7 English-speaking developed countries, Latin American countries, and 3 of Asian Tigers Dongchan Lee, All rights reserved

MMU1 is all about following the yellow arrow. MMU1 pilots are to boost the math poverty to end the math poverty: from the low 25 percentile to about 25 percentile to get the first flavor of what this is going to be like to the national governments that can fully commit and support the MMU1 initiatives. As such, this will focus first on the math poorest 10-20-30 % of the student population in each participating cities, states, or counries.

See the quasi-flat growths of these nations for 12 years in PISA overall. The yellow arrow is roughly the efficiency slope boost in MMU1 level operations.

Qatar Albania Georgia Moldova Romania Peru Israel Malta Bulgaria Portugal Italy Montenegro Brazil Russia Colombia Mexico Poland Macao (China) Tunisia Indonesia Chile Estonia Turkey Trinidad and Tobago Slovenia Germany Singapore Norway Greece Japan Hong Kong (China) Thailand Spain Ireland Latvia Croatia Chinese Taipei United Kingdom Switzerland Jordan Luxembourg OECD average-30 Austria Denmark United States Lithuania Uruguay Korea France Hungary Canada Belgium Sweden Slovak Republic Costa Rica Netherlands Czech Republic United Arab Emirates Iceland Australia New Zealand Finland Viet Nam Score-point difference 30 25 20 15 Years it take to growth 1 Standard Deviation Average three-year trend in mathematics across PISA assessments The largest math EDU collapse in 2015 for the developed nations, including 100% of the Asian Tigers and most of the English speaking nations. 10 5 0-5 -10-15 -20-25 -30

Quasi-horizontal TIMSS math growths past 20 years and what MMU1 is equivalent to do if implemented (Yellow Arrows) TIMSS Math grade 4 th slow growths TIMSS Math grade 8 th slow growths

Years it tkes to grow math average by 1 Standard Deviation Annualized PISA math growths till PISA 2015 Years it tkes to grow math average by 1 Standard Deviation Annualized PISA math growths till PISA 2015 200 These show how many generations are needed to even boost the national math by 40-80% of what MMU1 can do. Years it take to have the national math average growth by 0.5 Standard Deviation (PISA 2000-2015) in English, Spanish, Portuguese, or Korean speaking countries Years it take to have the national math average growth by 0.5 Standard Deviation (PISA 2000-2015) Average Annual Math score change (as % of 1 Standard Deviation or PISA 100 ponts) 4.0 200 Years it take to have the national math average growth by 1 Standard Deviation (PISA 2000-2015) in English, Spanish, Portuguese, or Korean speaking countries Years it take to have the national math average growth by 1 Standard Deviation (PISA 2000-2015) Average Annual Math score change (as % of 1 Standard Deviation or PISA 100 ponts) 188 4.0 180 160 164 3.0 180 160 3.0 140 2.0 140 2.0 120 120 1.0 120 1.0 100 80 94 0.0 100 80 85 0.0 60 40 20 14 21 24 28 28 42-1.0-2.0 60 40 20 29 42 49 55 56-1.0-2.0 0-3.0 0-3.0 PISA countries for math (for the average math growth trends 2000-2015) PISA countries for math (for the average math growth trends 2000-2015)

The stagnations of the math growths of TIMSS grades 4 and 8 in all English speaking developed countries and some others in the next page. They are all vertical. The YELLOW ARROW is what MMU1 focuses on: to empower the math poorer 25 percentile to the 75 percentile very rapidly for the fully supporting, committed nations.

The stagnations of the math growths of PISA math in all English speaking developed countries and some others in the next page. They are all horizontal. The YELLOW ARROW is what MMU1 focuses on vertically: to empower the math poorer 25 percentile to the 75 percentile very rapidly for the fully supporting, committed nations.

PISA math scores PISA math scores 700 United States: PISA math trajectories: Math poverty levels & percentile distributions 2000-2015 (entire history) 700 AUSTRALIA: PISA math trajectories: Math poverty levels & percentile distributions 2000-2015 (entire history) 650 650 math 95 percentile 600 math 95 percentile 600 550 500 493 487 483 481 474 470 450 427 425 418 418 400 411 408 350 337 339 327 323 328 323 300 2000 2003 2006 2009 2012 2015 Years (15 years of PISA) math 75 percentile Average PISA math scores over time math 25 percentile math 5 percentile 550 533 500 524 520 514 504 494 474 450 460 460 451 437 430 400 380 375 350 364 357 348 339 300 2000 2003 2006 2009 2012 2015 Years (15 years of PISA) math 75 percentile Average PISA math scores over time math 25 percentile (Math Poverty) math 5 percentile (Extreme Math Poverty) The red arrow is the math chasm between the top math countries and poorest math countries in the entire PISA and TIMSS tests

PISA math scores PISA math scores United Kingdom: PISA math trajectories: Math poverty levels & percentile distributions 2000-2015 (entire history) 700 700 CANADA: PISA math trajectories: Math poverty levels & percentile distributions 2000-2015 (entire history) 650 650 math 95 percentile math 95 percentile 600 600 math 75 percentile 550 529 500 470 450 400 374 350 508 444 356 495 492 494 492 434 434 429 430 351 348 336 337 math 75 percentile Average PISA math scores over time math 25 percentile math 5 percentile 550 533 532 500 477 474 450 400 390 386 350 527 527 470 468 383 379 518 516 457 456 370 368 Average PISA math scores over time math 25 percentile math 5 percentile The red arrow is the math chasm between the top math countries and poorest math countries in the entire PISA and TIMSS tests 300 2000 2003 2006 2009 2012 2015 Years (15 years of PISA) 300 2000 2003 2006 2009 2012 2015 Years (15 years of PISA)

PISA math scores NEW ZEALAND: PISA math trajectories: Math poverty levels & percentile distributions 2000-2015 (entire history) 750 700 650 math 95 percentile 600 550 500 450 400 350 537 472 364 523 522 519 455 458 454 368 358 355 495 500 428 431 340 342 math 75 percentile Average PISA math scores over time math 25 percentile math 5 percentile The red arrow is the math chasm between the top math countries and poorest math countries in the entire PISA and TIMSS tests 300 2000 2003 2006 2009 2012 2015 Years (15 years of PISA)

PISA math growths 2000-2015: Latin American countries

PISA math scores 600 Brazil: PISA math trajectories: Math poverty levels & percentile distributions 2000-2015 (entire history) 550 500 450 400 350 334 300 356 286 370 308 386 331 391 337 377 315 math 95 percentile math 75 percentile Average PISA math scores over time math 25 percentile The red arrow is the math chasm between the top math countries and poorest math countries in the entire PISA and TIMSS tests 250 266 math 5 percentile 200 150 2000 2003 2006 2009 2012 2015 Years (15 years of PISA)

How much can the dominance of math average over that of reading average can impact the GDP per capita as time goes on?

PISA math scores PISA math scores CHILE: PISA math trajectories: Math poverty levels & percentile distributions 2000-2015 (entire history) MEXICO: PISA math trajectories: Math poverty levels & percentile distributions 2000-2015 (entire history) 600 550 550 500 450 400 350 300 math 95 percentile math 75 percentile Average PISA math scores over time math 25 percentile math 5 percentile 500 450 400 350 300 math 95 percentile math 75 percentile Average PISA math scores over time math 25 percentile math 5 percentile The red arrow is the math chasm between the top math countries and poorest math countries in the entire PISA and TIMSS tests 250 250 200 2000 2003 2006 2009 2012 2015 Years (15 years of PISA) 200 2000 2003 2006 2009 2012 2015 Years (15 years of PISA)

PISA math scores PISA math scores 550 COSTA RICA: PISA math trajectories: Math poverty levels & percentile distributions 2000-2015 (entire history) 600 URUGUAY: PISA math trajectories: Math poverty levels & percentile distributions 2000-2015 (entire history) 550 math 95 percentile 500 450 400 math 95 percentile math 75 percentile Average PISA math scores over time 500 450 400 350 math 75 percentile Average PISA math scores over time math 25 percentile The red arrow is the math chasm between the top math countries and poorest math countries in the entire PISA and TIMSS tests 350 math 25 percentile 300 math 5 percentile 300 math 5 percentile 250 250 2009 2012 2015 Years (15 years of PISA) 200 2000 2003 2006 2009 2012 2015 Years (15 years of PISA)

Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile (math 5 percentile (E Australia 2000 679.00 594.00 533.00 474.00 380.00 Australia 2003 675.68 591.65 524.27 459.79 364.32 Australia 2006 663.46 580.72 519.91 459.99 374.85 Australia 2009 664.93 579.51 514.34 451.25 356.59 Australia 2012 663.13 570.88 504.15 436.84 348.02 Australia 2015 645.17 558.77 493.90 429.81 338.69 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile Canada 2000 668.00 592.00 533.00 477.00 390.00 Canada 2003 672.66 593.29 532.49 473.94 386.18 Canada 2006 664.19 586.70 527.01 470.28 382.72 Canada 2009 664.80 588.29 526.81 468.06 378.57 Canada 2012 663.40 580.07 518.07 457.38 370.28 Canada 2015 657.07 576.55 515.65 455.66 368.50 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile Ireland 2000 630.00 561.00 503.00 449.00 357.00 Ireland 2003 640.97 561.88 502.84 444.99 360.43 Ireland 2006 634.14 558.94 501.47 444.97 365.97 Ireland 2009 617.36 547.57 487.14 432.16 337.82 Ireland 2012 639.56 559.21 501.50 445.31 359.30 Ireland 2015 632.50 558.72 503.72 450.14 370.63 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile New Zealand 2000 689.00 607.00 537.00 472.00 364.00 New Zealand 2003 682.30 593.01 523.49 455.23 358.50 New Zealand 2006 673.51 587.25 521.99 458.02 367.51 New Zealand 2009 671.37 588.84 519.30 454.18 355.39 New Zealand 2012 664.88 570.05 499.75 428.14 340.31 New Zealand 2015 645.77 559.97 495.22 430.61 342.26 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile United Kingdom 2000 676.00 592.00 529.00 470.00 374.00 United Kingdom 2003 659.34 572.60 508.26 444.10 356.08 United Kingdom 2006 642.96 556.51 495.44 434.48 351.17 United Kingdom 2009 634.72 551.96 492.41 433.84 348.08 United Kingdom 2012 648.26 559.86 493.93 429.17 336.18 United Kingdom 2015 640.52 556.46 492.48 429.78 337.42 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile United States 2000 652.00 562.00 493.00 427.00 327.00 United States 2003 637.97 549.70 482.89 417.99 322.96 United States 2006 624.89 537.23 474.35 411.24 328.38 United States 2009 636.70 550.64 487.40 424.68 337.05 United States 2012 633.75 543.29 481.37 417.71 339.20 United States 2015 613.28 531.78 469.63 408.10 323.49 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile Trinidad and To 2009 580.33 484.09 414.04 342.07 252.34 Trinidad and To 2012 Trinidad and To 2015 578.31 484.11 417.24 348.08 264.52 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile United Arab Em 2012 590.74 493.92.. 369.55 297.05 United Arab Em 2015 593.28 492.54 427.48 359.67 275.16 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile Singapore 2009 724.58 637.79 562.02 490.26 382.92 Singapore 2012 737.41 649.59 573.47 500.80 393.03 Singapore 2015 710.79 632.34 564.19 500.40 398.74 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile Hong Kong SAR 2000 699.00 626.00 560.00 502.00 390.00 Hong Kong SAR 2003 699.52 621.84 550.38 484.80 373.83 Hong Kong SAR 2006 691.88 614.11 547.46 486.16 385.61 Hong Kong SAR 2009 702.97 621.58 554.53 492.50 389.80 Hong Kong SAR 2012 708.73 628.59 561.24 498.84 390.52 Hong Kong SAR 2015 686.87 610.67 547.93 490.41 389.26 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile Argentina 2000 574.00 474.00 388.00 307.00 180.00 Argentina 2001 Argentina 2003 Argentina 2006 542.80 450.55 381.25 315.65 209.43 Argentina 2009 542.65 450.65 388.07 327.22 230.88 Argentina 2012 514.09 440.39 388.43 336.52 264.02 Argentina 2015 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile Brazil 2000 499.00 399.00 334.00 266.00 179.00 Brazil 2003 528.29 419.32 356.02 285.76 202.62 Brazil 2006 529.95 426.88 369.52 307.59 225.48 Brazil 2009 531.18 434.97 385.81 330.93 261.08 Brazil 2012 529.55 439.98 391.46 337.37 274.51 Brazil 2015 533.49 434.02 377.07 314.72 240.25 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile Chile 2000 532.00 449.00 384.00 321.00 222.00 Chile 2003 Chile 2006 560.56 470.07 411.35 350.20 273.49 Chile 2009 559.11 473.48 421.06 365.89 293.37 Chile 2012 563.18 476.48 422.63 365.00 299.42 Chile 2015 563.02 482.81 422.67 363.19 284.08 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile Colombia 2000 Colombia 2003 Colombia 2006 515.26 428.27 369.98 311.32 225.71 Colombia 2009 509.18 430.81 380.85 329.72 259.08 Colombia 2012 506.02 423.19 376.49 325.79 262.29 Colombia 2015 521.91 441.38 389.64 335.47 268.58 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile Costa Rica 2000 Costa Rica 2003 Costa Rica 2006 Costa Rica 2009 457.01 409.39 360.62 Costa Rica 2012 525.45 449.36 407.00 360.55 301.15 Costa Rica 2015 516.90 445.00 400.25 352.87 292.32 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile Dominican Repu 2015 445.81 372.67 327.70 280.72 220.49 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile Mexico 2000 527.00 445.00 387.00 329.00 254.00 Mexico 2003 526.90 443.57 385.22 326.64 247.11 Mexico 2006 545.53 462.99 405.65 349.05 267.56 Mexico 2009 547.30 471.76 418.51 366.00 288.79 Mexico 2012 539.30 461.98 413.28 362.46 294.54 Mexico 2015 532.74 459.21 408.02 356.55 284.47 Country Time math 95 percentile math 75 percentile Average PISA math smath 25 percentile math 5 percentile Uruguay 2000 Uruguay 2003 583.41 490.67 422.20 353.34 255.27 Uruguay 2006 587.02 495.32 426.80 359.85 261.31 Uruguay 2009 577.88 489.59 426.72 363.74 278.24 Uruguay 2012 558.24 470.02 409.29 347.34 266.58 Uruguay 2015 565.49 476.98 417.99 356.60 280.84 Source: OECD s PISA data for PISA math growths 2000-2015:

PISA math growths 2000-2015: Asian Tigers: developed countries

Years it tkes to grow math average by 1 Standard Deviation Annualized PISA math growths till PISA 2015 Years it take to have the national math average growth by 1 Standard Deviation (PISA 2000-2015) of the Eastern Asian countries Years it take to have the national math average growth by 1 Standard Deviation (PISA 2000-2015) Average Annual Math score change (as % of 1 Standard Deviation or PISA 100 ponts) 200 2.0 180 1.0 160 140 0.0 120-1.0 100-2.0 84 80 65-3.0 60-4.0 40 20-5.0 0 Macao (China) Indonesia Singapore Japan Hong Kong (China) Thailand Chinese Taipei OECD average-30 Korea Viet Nam -6.0 PISA countries for math (for the average math growth trends 2000-2015)

Years it tkes to grow math average by 1 Standard Deviation Annualized PISA math growths till PISA 2015 Years it take to have the national math average growth by 0.5 Standard Deviation (PISA 2000-2015) of the Eastern Asian countries Years it take to have the national math average growth by 1 Standard Deviation (PISA 2000-2015) Average Annual Math score change (as % of 1 Standard Deviation or PISA 100 ponts) 200 2.0 180 164 1.0 160 151 0.0 140 120 120-1.0 100-2.0 80-3.0 60 40 33 42-4.0 20-5.0 0 Macao (China) Indonesia Singapore Japan Hong Kong (China) Thailand Chinese Taipei OECD average-30 Korea Viet Nam -6.0 PISA countries for math (for the average math growth trends 2000-2015)

PISA Math scores & percentile distributions 750 South Korea's PISA math score trajectories and the math poverty distributions 700 650 PISA: Distribution of Mathematics Scores: 95th Percentile Score [LO.PISA.MAT.P95] The red arrow is the math chasm between the top math countries and poorest math countries in the entire PISA and TIMSS tests 600 550 547 554 547 542 546 524 500 493 479 485 486 486 450 458 400 400 397 392 388 386 350 353 2000 2003 2006 2009 2012 2015 PISA math years PISA: Distribution of Mathematics Scores: 75th Percentile Score [LO.PISA.MAT.P75] PISA: Mean performance on the mathematics scale [LO.PISA.MAT] PISA: Distribution of Mathematics Scores: 25th Percentile Score [LO.PISA.MAT.P25] PISA: Distribution of Mathematics Scores: 5th Percentile Score [LO.PISA.MAT.P05]

PISA math scores PISA math scores SINGAPORE: PISA math trajectories: Math poverty levels & percentile distributions 2000-2015 (entire history) 750 HONG KONG: PISA math trajectories: Math poverty levels & percentile distributions 2000-2015 (entire history) 800 750 700 math 95 percentile 700 math 95 percentile 650 650 math 75 percentile 600 math 75 percentile 600 550 Average PISA math scores over time 550 560 550 547 555 561 548 Average PISA math scores over time 500 490 501 500 math 25 percentile 500 502 450 485 486 492 499 490 math 25 percentile 450 math 5 percentile math 5 percentile 400 393 399 383 350 2009 2012 2015 Years (15 years of PISA) 400 390 386 390 391 389 374 350 2000 2003 2006 2009 2012 2015 Years (15 years of PISA)

How much can the dominance of math average over that of reading average can impact the GDP per capita as time goes on?

reading score PISA 2015 reading score PISA 2015 science score PISA 2015 600 550 Math vs. Science. pisa 2015 y = 0.8844x + 57.969 R² = 0.9537 Science vs. Reading. pisa 2015 500 600 y = 0.9858x + 1.9782 R² = 0.9268 450 550 Math vs. Reading. pisa 2015 400 500 600 y = 0.8751x + 57.629 R² = 0.8904 450 550 350 300 300 350 400 450 500 550 600 math scores PISA 2015 400 350 500 450 300 300 350 400 450 500 550 600 Science scores PISA 2015 400 350 300 300 350 400 450 500 550 600 math test PISA 2015 Source: OECD, PISA 2015 Database, Tables I.2.4a, I.2.6, I.2.7, I.4.4a and I.5.4a.

PISA 2015 average of Science & Reading 600 Correlations between PISA 2015 Math vs. the average of Reading & Science y = 0.8793x + 57.984 R² = 0.9387 550 500 450 Chile Uruguay Trinidad and Tobago Peru Brazil Mexico Costa Rica Colombia Finland New Zealand Australia United Kingdom Portugal United States Spain CABA (Argentina) Canada Singapore Japan Hong Kong (China) Macao (China) Chinese Taipei Korea B-S-J-G (China) 400 2) All developed Englihs speaking countries and most of the Latin American countries have the stronger reading scores than math scores by large margins. 350 Dominican Republic 0.5 STDEV 300 300 350 400 450 500 550 600 PISA 2015 Math score

PISA 2015 average of Science & Reading Correlations and dominance between PISA 2015 Math vs. Reading in Americas vs. Eastern Asia 600 Finland Canada y = 0.8743x + 57.917 R² = 0.89 550 New Zealand 500 Uruguay Trinidad and Tobago Chile Australia United Kingdom Portugal United States Spain CABA (Argentina) Singapore Hong Kong (China) Korea Japan Macao (China) Chinese Taipei B-S-J-G (China) 450 Mexico Costa Rica Colombia Peru Brazil 400 Dominican Republic 350 0.5 STDEV 300 300 350 400 450 500 550 600 PISA 2015 Math score Source: OECD, PISA 2015 Database, Tables I.2.4a, I.2.6, I.2.7, I.4.4a and I.5.4a.

Math crisis: English-speaking countries

2) All developed Englihs speaking countries and most of the Latin American countries have the stronger reading scores than math scores by large margins.

In PISA (2012), the shares of math poverty (low performers) are much higher than that of Reading poverty Indonesia Peru Colombia Qatar Jordan Brazil Tunisia Argentina Albania Costa Rica Peru Qatar Kazakhstan Indonesia Argentina Malaysia Albania Colombia Brazil Jordan Tunisia Uruguay Montenegro Mexico Bulgaria Romania United Arab Serbia Chile Thailand Costa Rica Slovak Republic Israel Sweden Greece Russian Federation Luxembourg Turkey Lithuania Slovenia Iceland Hungary Italy Austria France Portugal Croatia Spain OECD average Latvia Czech Republic United Kingdom United States New Zealand Norway Belgium Denmark Germany Australia Netherlands Switzerland Liechtenstein Chinese Taipei Macao-China Finland Canada Poland Singapore Japan Ireland Viet Nam Estonia Korea Hong Kong-China Shanghai-China Montenegro Uruguay Mexico Malaysia Chile Thailand United Arab Emirates Kazakhstan Bulgaria Turkey Romania Serbia Greece Israel Croatia Hungary Slovak Republic Sweden Lithuania United States Portugal Italy Luxembourg Russian Federation Spain OECD average New Zealand France Norway United Kingdom Iceland Czech Republic Slovenia Latvia Australia Belgium Austria Germany Ireland Denmark Netherlands Poland Viet Nam Liechtenstein Canada Chinese Taipei Switzerland Finland Japan Macao-China Estonia Korea Hong Kong-China Singapore Shanghai-China % 80 70 60 50 40 30 20 10 0 Math poverty (Low performers Below Level 1) of 40% or more: 22 countries Below level 1 Level 1 Percentage of low performers (Level 1 or below) in Mathematics Less math poverty than 20%: 22 countries / economies Source: Figure 1.5. 80 70 60 50 40 30 20 10 0 % Reading poverty of 40% or more: 14 countries Below Level 1b Level 1b Level 1a Much less Reading poverty of 20% or less: 34 countries / economies Percentage of low performers (Level 1a or below) in reading

In the following regressions, you have to be aware that the typical correlation or growth coefficients of GDP per capita vs. the Mean school years is about R^2 ~ 0.25. For instance, according to Hanushek & Woessmann s regressions about the linear correlation between these 2 factors without including cognitive skills at all, the growth coefficient is about 0.35 and the R^2 ~ 0.25 (meaning that the mean school year alone can explain only about 25% of the GDP per capita grwoths (at least based on their regression based on 50 countries between 1960-2000). Keeping this in mind that the PISA math reading score difference against the GDP per capita based on PPP leads to about similar magnitude of R^2 when about 3-5 outliers are taken out.

How much can the dominance of math average over that of reading average can impact the GDP per capita as time goes on?

Math overall average of PISA math 2000-2015 impacts on GDP per capita $132,860 PISA MATH READING S OVERALL SCORE (2000-2015) VS. LOG OF GDP PER CAPITA, PPP (CURRENT INTERNATIONAL $) 2015 AFTER REMOVING 6 OUTLIER COUNTRIES (OUT OF THE 77 TOTAL COUNTRIES) QAT LUX $132,860 PISA math - Reading overall scores (2000-2015) vs. log of GDP per capita, PPP (current international $) 2015 after removing 6 outliers (out of the 77 total countries) y = 15832e 0.0391x R² = 0.3027 $49,208 y = 26466e 0.0143x R² = 0.1524 $49,208 y = 26466e 0.0143x R² = 0.1524 $18,225 LBN AZE $18,225 y = 35261e 0.0278x R² = 0.2487 $6,750 $6,750 KGZ $2,500-40 -20 0 20 40 60 80 100 $2,500-40 -30-20 -10 0 10 20 30 40 50

After eliminating typically 3, 4, or 6 outliers out of about 50-70 participating nations over the last 12 years (2003-2015 PISA math and reading)

. Log of GDP per capita, PPP (current international $) in 2015 Time lag in 0 years No significant changes PISA 2015 difference of Math - Reading vs. Log of GDP per capita, PPP (current international $) in 2015 after excluding 5 outliers $78,732 $29,160 y = 27658e 0.0101x R² = 0.0853 $10,800 $4,000-50 -40-30 -20-10 0 10 20 30 40 50 60 Math - Reading score difference

log of GDP per capita, PPP (current international $) in 2015 Time lag in 3 years PISA 2012's difference betwen math - readingscores vs. log of GDP per capita, PPP (current international $) in 2015 after 4 outliers exludded out of the 59 countries Qatar Luxembourg $98,415 y = 31066e 0.0213x R² = 0.3282 $36,450 Kazakhstan $13,500 Vietnam $5,000-40 -30-20 -10 0 10 20 30 40 50 PISA 2012's difference betwen math - reading scores

log of GDP per capita based on PPP 2015 Time lag in 6 years PISA 2009's difference between math - reading scores vs. log of GDP per capita, PPP (current international $) in 2015, after removing 4 outliers $148,803 $55,112 y = 28685e 0.0224x R² = 0.4462 $20,412 $7,560 $2,800-40 -20 0 20 40 60 80 PISA 2009's difference between math - reading scores

GDP per capita based on PPP in 2015 GDP per capita based on PPP in 2015 Time lag in 9 years PISA 2006 difference between the math - Reading vs. GDP per capita, PPP (current international $) in 2015 after removing 4 outliers $149,591 PISA 2006 difference between the math - Reading vs. GDP per capita, PPP (current international $) in 2015 after removing 3 outliers $148,803 Qatar y = 28324e 0.0168x R² = 0.2163 $55,404 $55,112 y = 28324e 0.0168x R² = 0.2163 $20,412 Serbia Azerbaijan $20,520 $7,560 Kyrgyz Republic $7,600-40 -30-20 -10 0 10 20 30 40 PISA 2006 Math - Reading score s $2,800-40 -20 0 20 40 60 80 100 120 PISA 2006 Math - Reading score difference

LOG OF GDP PER CAPITA, PPP Time lag in 12 years with the district GDP per capita without 3 outliers in 2015 PISA 2003'S DIFFERENCE BETWEEN MATH - READING VS. LOG OF GDP PER CAPITA, PPP (CURRENT INTERNATIONAL $) IN 2015, EXCLUDING 3 OUTLIERS Macao SAR, China Luxembourg Liechtenstein y = 32032e 0.0153x R² = 0.3288 $58,320 $21,600 Brazil United States Australia United Kingdom Greece Norway Switzerland Hong Kong SAR, China Ireland Austria Netherlands Sweden Canada Germany Denmark Belgium Iceland Finland France New Zealand Italy Japan Spain Korea, Rep. Czech Republic Portugal Uruguay Turkey Mexico Poland Latvia Thailand Hungary Serbia Slovak Republic Russian Federation Tunisia Indonesia $8,000-50 -40-30 -20-10 0 10 20 30 40 50 PISA'S MATH - READING SCORE DIFFERENCE IN PISA 2003

Key conclusions

Solutions: USL (Unified Super Learning), starting with MMU1 (Mini Mini USL1 as a series of pilot studies to convince all to end the math poverty rapidy)

MMU1 (Mini Mini USL1, Sep-Oct 2016) USL original pilot studies (Oct 2013, Jan-Feb 2014) By Dongchan Lee Far beyond the efficiencies of the best math apps, the best math average nations The best way to end the global math poverty in 2-5 years The best way to end the global poverty in 10-15 years, not just extreme poverty in 50-100 years

% of correct answers in the exams % of score gains per x days: Learning speed comparisons: the typical USL pilot study results (10-50x faster than usual) vs. the typical school math gains 30% -->61% in 1.5 month 30%-->71% in 1.5 month 30%-->80% in 1.5 month 35% -->60% in 1 month 35%-->70% in 1 month 34-->80% in 1 month 40%-->60% 40%-->70% USL slower USL average USL faster 100% 90% 1 class 30-40 minutes USL 80% A A A Evidences 70% C C C 60% F F F 50% 40% 30% 20% 1-1.5 months of the regular math classes 10% www.uslgoglobal.com 0% 0 5 10 15 20 25 30 35 40 45 Days needed for the regular school math tests

Rule of thumb for MMU1: very rapid rise of the worst math students to the best half students (Pilot studies summary) 25% 25% The Best 50% (with the school teachers) MMU1 (Mini Mini USL1) from 2 good private schools with Dongchan Lee USL 1.5: basic advances MMU1 in El Alba (a good private school in Momostenango) for the grades 3, 4, and 5 USL 1.0 ITEC of UVG (the best school of the state of Solola, Guatemala) for the grade 1 Still using only ~ 4-8% of the original original USL capacity of 2014 USL 0.5: the best scenario without USL 25% 25% The Worst 50% with Dongchan Lee ~ 70-160 years needed normally, nationally The rise of the school average: ~ 1.35 STDEV: Guatemala F Average of the CA o NY of the USA. Grade 3, 5 Grade 4 ~ 40-100 years needed normally, nationally Test 1 Test 2 The rise of the school average: ~ 1 STDEV: Guatemala F the average of the highest average 4 Latin American countries ~ 10-50 years needed normally, nationally The rise of the school average: ~ 0.5 STDEV: Colombia, Argentina, Brazil, Ecuador D the average of the highest average 4 Latin American countries

Ending Math Poverty MMU1 (Mini Mini USL1) proposals to Americas 2017 Ending Poverty www.uslgoglobal.com With Dongchan Lee Sustainable Growths 25% Very quickly The Best math 50% (with the school teachers) Evidence-based only 25% as appetizers Massive Math boosts by MMU1 Public-Private Partnership 25% 25% ~ 1.35 STDEV advances The Worst math 50% with Dongchan Lee 100% internet-based (~100% tablet or computer-based) Charged from Solar Panels Purified Water from Solar panels With the national & state governments & MOEs of the English, Spanish, Portuguesespeaking countries first. with the UN

Invite Dongchan Lee To run MMU1 Pilot studies In your country With your Ministries Of Edu Support him. Fund him. Help him end the math poverty. Give him media publicities. Bring him philanthropists. To end the poverty. To make USL go global. Bring him Investors. Faster than anyone else can.. In the entire world. Make him demonstrate to the UNESCO To the General Assembly of the UN. Help him create his own 1 NGO per country Help him accelerate the SDGs of the UN far faster than currently possible. www.uslgoglobal.com

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