Despite extensive scholarship about the importance of teaching mathematics with multiple strategies in the elementary grades, there has been relatively little discussion of this practice in the middle and high school levels or in the context of introductory algebra. This article begins our exploration of this practice by addressing the following…

In a diverse classroom, there are students who are in need of both mathematics and English as a second language instruction. One of the challenges faced at Lake Washington Institute of Technology (LWIT) was the development of a pathway for English language learners into core academic courses at the college. In addition, English language learners…

This "Eighth Annual Report Card" tracks progress on Boston's goals for educating learners of all ages. The report lays out Boston Opportunity Agenda's current metrics, the baseline that has been established for the future, and the progress to be made over the course of the next five years. This report card contains the most up-to-date…

Data and information are critical tools of school improvement. They are the foundation for making informed education decisions for our schools, districts and the state. The 2019 edition of the Annual Condition of Education Report (COE) marks the 30th edition of the Iowa Department of Education report. Much has changed in the past 30 years since…

This paper describes a case study of two pure mathematicians who flipped their lecture to teach matrix determinants in two large mathematics service courses (one at Stage I and the other at Stage II). The purpose of the study was to transform the passive lecture into an active learning opportunity and to introduce valuable mathematical skills,…

The 2016 edition of the Brown Center Report (BCR) is number five in the third volume and the 15th issue overall. As is customary, this year's BCR contains three studies. Part one is on the Common Core State Standards (CCSS) and instruction in math and reading. National Assessment of Educational Progress (NAEP) data indicate that nonfiction is…

In recent years, educators have started incorporating learningstyle instruction into their lessons. Of particular interest is the inclusion of kinesthetic learning practices in the content area. The purpose of this study was to determine the impact of purposeful movement on learner outcomes and attitudes in high school Algebra classes. Two Algebra…

The purpose of the study was to determine the effect of pacing and scheduling of algebra coursework on assigned 9th-grade students who traditionally would qualify for pre-algebra instruction and same course 9th-grade students who traditionally would qualify for standard algebra instruction. Students were selected based on completion of first-year…

"Solve for x." While many people first encountered this enigmatic instruction in high school, the last 20 years have seen a strong push to get students to take algebra in eighth grade or even before. Today, concerns about the economy highlight a familiar worry: American eighth-graders trailed their peers in five Asian countries on the…

Field experiments that involve nested structures frequently assign treatment conditions to entire groups (such as schools). A key aspect of the design of such experiments includes knowledge of the clustering effects that are often expressed via intraclass correlation. This study provides methods for constructing a more powerful test for the…

Many inquiries regarding the causal effects of policies or programs are based on research designs where the treatment assignment process is unknown, and thus valid inferences depend on tenuous assumptions about the assignment mechanism. This article draws attention to the importance of understanding the assignment mechanism in policy and program…

This study investigates Chinese and U.S. teachers' construction and use of pedagogical representations surrounding implementation of mathematical tasks. It does this by analyzing video-taped lessons from the Learner's Perspective Study, involving 15 Chinese and 10 U.S. consecutive lessons on the topic of linear equations/linear relations. We…

Initial exposure to algebraic thinking involves the critical leap from working with numbers to thinking with variables. The transition to thinking mathematically using variables has many layers, and for all students an abstraction that is clear in one setting may be opaque in another. Geometric counting and the resulting algebraic patterns provide…

Students enjoy origami and like making everything from paper cranes to footballs out of small, colorful squares of paper. They can invent their own shapes and are intrigued by the polyhedrons that they can construct. Paper folding is fun, but where is the math? Unless teachers develop lessons that address mathematical objectives, origami could be…

Transformations are a central organizing idea in geometry. They are included in most geometry curricula and are likely to appear with even greater emphasis in the future, given the central role they play in the "Common Core State Standards" for K-12 mathematics. One of the attractions of geometry is the ability to draw and construct the…