It has become gradually accepted that proof and proving are essential at all grades of mathematical learning. Among the various aspects of proof and proving, this study addresses proofs and refutations described by Lakatos, in particular a part of increasing content by deductive guessing, to introduce an authentic process into mathematics…

Every two years, the Washington State Board of Education (SBE) reports on the health of Washington's educational system. Established in 2013 by the Washington State Legislature, the Indicators of Educational System Health create a common framework upon which to evaluate the overall health of the educational system. The Board has two important…

This occasional paper presents national demographic subgroup data for the 1975-2019 Monitoring the Future (MTF) national survey results on 8th, 10th, and 12th graders' use of drugs, alcohol, and tobacco. The 2018 subgroup data presented in this report accompany the "Monitoring the Future National Survey Results on Drug Use: 1975-2019:…

This occasional paper presents national demographic subgroup data for the 1975-2018 Monitoring the Future (MTF) national survey results on 8th, 10th, and 12th graders' use of drugs, alcohol, and tobacco. The study covers all major classes of illicit and licit psychoactive drugs for an array of population subgroups. The trends are presented in…

This annual report provides information for the 2015-16 school year on grade-level retention and student performance in the Texas public school system. Student retention and promotion data are reported with data on the performance of students in Grades 3-8 on the State of Texas Assessments of Academic Readiness (STAAR) reading and mathematics…

In his campaign for Mayor of New York City, Bill de Blasio positioned himself as the candidate most determined to break with the legacy of the outgoing Michael Bloomberg administration. Voters responded enthusiastically, handing de Blasio a nearly 50-point margin of victory in the November 2013 election. De Blasio, a Democrat, interpreted the win…

The chapters in this online volume comprise the TIMSS & PIRLS International Study Center's technical report of the methods and procedures used to develop, implement, and report the results of TIMSS 2019. There were various technical challenges because TIMSS 2019 was the initial phase of the transition to eTIMSS, with approximately half the…

"Connected Mathematics Project" (CMP) is a math curriculum for students in grades 6-8. It uses interactive problems and everyday situations to explore mathematical ideas, with a goal of fostering a problem-centered, inquiry-based learning environment. At each grade level, the curriculum covers numbers, algebra, geometry/measurement,…

"I CAN Learn"® is a computer-based math curriculum for students in middle school, high school, and college. It provides math instruction through a series of interactive lessons that students work on individually at their own computers. Students move at their own pace and must demonstrate mastery of each concept before progressing to the…

Technology and engineering have played central roles in forming our national identity. We see the United States as a nation of tinkerers and inventors who have helped chart the course of global innovation for centuries. Only time will tell if we can continue to live up to this conception of ourselves. As technology and engineering come to affect…

Today's economy demands that all young people develop high-level literacy, quantitative reasoning, problem solving, communication, and collaboration skills, all grounded in a rigorous and content-rich K-12 curriculum. Acquiring these skills ensures that high school graduates are academically prepared to pursue the future of their choosing.…

In this paper we evaluate the effectiveness of an adaptive online learning platform, designed to support Chinese students in learning the English language. The adaptive platform is studied in three studies, where the experimental platform is compared to an alternate, non-adaptive platform, with random assignment to conditions (the adaptive…

We use a quadratic equation to estimate trends in cohort performances in the charter and district sectors on the National Assessment of Educational Progress in 4th and 8th grade between 2005 and 2017. Data consist of over four million test observations of nationally representative samples of students on seven separate math and reading tests. We…

Education standards do not flop spectacularly. Their failure gives rise to nothing like the black-and-white films of early aeronautical experiments: no missiles exploding on launch pads or planes tumbling from the sky. But 10 years after 46 of the 50 states adopted the Common Core standards, the lack of evidence that they have improved student…

Young people may face conflicting and confusing messages about what it means to respond well in relation to homophobia and transphobia. Consequently, we ask--What might it mean to respond well to homophobia and transphobia? This strategy, inspired by Anika Thiem and Judith Butler, is recognition of the ambivalent conditions which structure…