In this article we consider two triangles: one inscribed in another. We prove that the area of the central triangle is at least the harmonic mean of the areas of corner triangles. We give two proofs of this theorem. One is based on Rigby inequality and the other is based on the known algebraic inequality, to which we bring a new, geometric, proof.…

The present study was conducted to determine how implementing computational thinking (via a proxy in AP Computer Science Principles) into a school's curriculum impacted student proficiency rates on the New York State Geometry Regents. Recent research has suggested that computational thinking is a skill that transcends specific content areas and…

This paper presents research activity in the solution of geometric tasks by mathematics teachers and by mathematics teacher trainees at a College of Education as part of an advanced courses. This activity tested the level of knowledge and ability to apply it in the solution of problems that can be solved in a number of ways: by using various tools…

Given math's importance, states are adopting a range of K12 policies to improve math outcomes. As these and other policies unfold, policymakers need to monitor intended outcomes and ultimately gauge impact. They need answers to basic questions: Are more students taking and passing algebra and advanced math? Are performance gaps changing between…

In a two-step synthesis starting with Ni(CH[subscript 3]COO)[subscript 2] ·4H[subscript 2]O and salicylaldehyde, students prepare Nethyl and N-isopropyl Ni(II) Schiff base (imine) complexes. After isolation and recrystallization, the products are characterized by room-temperature magnetic susceptibility measurements, FTIR spectroscopy, and…

Students at Century High School (CHS), a Catholic all-boys high school on Long Island, New York, who started ninth grade with Algebra 1 instead of Geometry demonstrated less obvious career interest in science, technology, engineering, and mathematics (STEM) and lower mathematics achievement, as typically evidenced by Iowa Tests of Educational…

The Office of English Language Acquisition (OELA) has synthesized key data on English learners (ELs) into two-page sheets on a variety of subjects. The topics for this report on English learners and high school mathematics include: (1) Distribution of Students Enrolled in High School Mathematics Classes; (2) Percentage of Students Who Failed to…

High school calculus has become indispensable for students seeking a college degree in a STEM field. However, in the present study, we argue that the mathematics opportunities that students seize (when afforded) in middle grades are the key to earning calculus credit in high school. To take calculus in high school, students usually need to take…

A wide research base has documented the unequal access to and enrollment in K-12 gifted and talented services and other forms of advanced learning opportunities. This study extends that knowledge base by integrating multiple population-level datasets to better understand correlates of access to and enrollment in gifted and talented services,…

The Tennessee Department of Education explored course enrollment patterns in an effort to better understand in which courses students are enrolling and whether course enrollment policies and procedures are promoting students' interests. This report focuses on math course enrollment patterns throughout high school by following the 2013-14 twelfth…

Between 2003 and 2013, the proportion of California eighth graders enrolled in algebra or a more advanced course nearly doubled to 65%. In this article, we consider the organizational processes that accompanied this curricular intensification. Facing a complex set of accountability, institutional, technical/functional, and internal political…

The proportion of eighth graders in United States public schools enrolled in algebra or a more advanced mathematics course doubled between 1990 and 2011. This article uses Early Childhood Longitudinal Study's Kindergarten Cohort data to consider the selection process into advanced middle school mathematics courses and estimate the effects of…

Between 2003 and 2013, the proportion of California 8th graders enrolled in Algebra or a more advanced course nearly doubled to 65 percent. In this paper, we consider the organizational processes that accompanied this curricular intensification. Facing a complex set of accountability, institutional, technical/functional, and internal political…

This is the twelfth edition of the Brown Center Report. Part I examines the latest data from state, national, or international assessments. This year the focus is on the latest results from the Progress in International Reading Literacy Study (PIRLS) and Trends in International Math and Science Study (TIMSS) released in December, 2012. Part I also…

This submission contains the Proceedings of the 2009 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at York University in Toronto, Ontario. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the Study Group…