Comparison is an important mechanism for learning in general, and comparing two worked examples has garnered support over the last 15 years as an effective tool for learning algebra in mainstream classrooms. This study was aimed at improving our understanding of how Modified for Language Support-Worked Example Pairs (MLS-WEPs) contribute to…

Multilingual learners (MLs), also referred to as English learners (ELs) in US K-12 public schools, and specifically newcomer MLs who have been in US schools for 2 years or less, are expected to learn the English language and reach grade level standards as their monolingual English-speaking peers. Mathematics education in the US has struggled over…

Language is often depicted as the sine qua non of mathematical thinking, a view buttressed by findings of language-of-training effects among bilinguals. These findings, however, have been limited to studies of arithmetic. Nothing is known about the potential influence of language on the ability to learn rules about the relations among variables…

As the United States (U.S.) population continues to change and become racially/ethnically, culturally, linguistically, and economically diverse, so does the population in public schools (Institute of Education Sciences, 2010). Additionally, the number of culturally and linguistically diverse (CLD) students has been overrepresented in the subgroup…

This study examines the use of Spanish as the language of instruction with Spanish dominant EL students in a 9th grade Algebra 1 classroom. The study documents conceptions of mathematical symbols at the start and at the end of the academic year of two groups of students; one receiving primary language instruction and another receiving sheltered…

In "Educating English Learners," Joyce W. Nutta and her colleagues offer practical tools for helping schools and teachers successfully integrate English learners into mainstream classrooms. Drawing on the One Plus model presented in their award-winning book, "Preparing Every Teacher to Reach English Learners," the authors now…

English Language Learners (ELLs) have an increasing presence in the nations' classrooms. From 1991 to 2004 the number of ELLs nearly doubled in grades K-12. Furthermore, new forms of accountability have school personnel concerned with the progress--or lack of progress--of the ELLs. "Principles and Standards" also reflects this concern: The Equity…

This study investigates how two groups of bilingual algebra students reasoned about rate, slope, and linear functions during peer discussions. This investigation brings together and advances research that investigates issues at the intersection of collaborative learning, algebraic reasoning, and the use of mathematical discourse practices. A…

Lectures remain the lynchpin of mathematics teaching at university even with advances in information technology and access to the internet. This paper examines the requirements for learning mathematics and shows how important it is for lecturers to be aware of the different modes of presentation they are using. Ways to assist students to make the…

This qualitative research study focused on the eight bilingual, content area high school teachers implementing Project SOL (Secondary Online Learning) in Southern California during the 2008-2009 school year. It documents their effort to integrate an online curriculum from the "Colegio de Bachilleres" in Mexico obtained through the UCLA…

This report offers California college faculty a closer look at contextualized teaching and learning (CTL) as a promising set of strategies and practices that can be expanded through the state's Basic Skills Initiative. The report is relevant to a range of instructional and counseling faculty, including academic and career and technical education…

Mathematics teaching and learning are inherently complex practices, and reports suggest that American teachers are not as successful at teaching mathematics as the authors might hope. In this article, the authors explore how a seemingly ubiquitous new technology--the personal audio/video player--just might help teachers improve mathematics…

In this article, the author describes how he created an approach that he terms "Mathematics as a Second Language" (MSL) for teaching ELL students mathematics. The main components of MSL are vocabulary activities, journals, group work, and projects. He used MSL to teach prealgebra to ELL students, as well as to native English speakers, for two…

This study contributes to the field by identifying a broad range of traditional and newer middle grade policies and practices, and determining in California which of these differentiate higher- from lower-performing schools serving similar student populations, with performance measured by the state's standards-based tests. Based on a sample of 303…

In the 2008-09 school year researchers from EdSource and Stanford University conducted a large-scale study of 303 middle grades schools in California. The team surveyed 303 principals, 3,752 English Language Arts (ELA) and math teachers in grades 6-8, and 157 superintendents of the districts and charter management organizations that oversee the…