An important component of the Common Core State Standards for Mathematics (CCSSM), used by the majority of states in the U.S., has the eight standards for mathematical practice (SMPs). While surveys have investigated teachers' perceptions of the CCSSM few have investigated middle school mathematics teachers' (MSMTs') (grades 6-8) perceptions of…

The value of both Common Core State Standards (CCSS) and efforts to embrace the idea that teachers should be held accountable for students' test scores have been debated among practitioners, policy makers, and the public for many years, but increasingly since 2010. The Common Core State Standards was implemented in 2009 to provide a basis for new…

This article presents a literature review regarding the identification and pedagogical practices for educating English language learners and the newly designated student classification of Long Term English Language Learners (LTELs) in California. Challenges encountered by middle and high school content area teachers are highlighted as well as…

Guidelines for teaching California's students have changed dramatically in recent years, as state leaders have adopted new academic standards, curriculum frameworks, and instructional materials lists in an attempt to better prepare students for college and career. However, adopting high-quality standards and curriculum materials does not guarantee…

A review of State Department of Education and school district websites was conducted to determine how policy related to the Common Core State Standards (CCSS) was communicated to teachers of students with severe disabilities. Four states were selected: California, New York, Illinois, and Pennsylvania. State Department of Education websites and…

Recognizing the challenges that students face when they may lack background and experiential knowledge with regard to coins is important so that teachers can address this during instruction. Exposure to coins is one of the basic necessities to learning about the coins, but that is just the initial part of the learning sequence. Unless students are…

Visual representations and manipulatives are a highly advocated mathematical tool for the teaching and learning of multiplication and division. Although there is some prior research on elementary teachers' general use of manipulatives and visual representations, there is little to no specific focus on use of such representations on a specific…

This report explores District of Columbia Public Schools' innovative approach to supporting teaching instruction, called Learning Together to Advance our Practice, or LEAP. LEAP is based on research that has found the most effective professional learning is school-based and content-specific, grounded in the instructional materials and strategies…

Teaching teachers to participate in mathematical inquiry has the potential to both transform belief systems about mathematics and to transform teachers from consumers of mathematics to producers of mathematics. The focus of this paper is to describe the use of a problem, based on a non-traditional binary operation, to encourage and teach…

The correct use of visual perspective is one of the main reasons that virtual reality environments and realistic works of art look lifelike. Geometric construction techniques used by artists to achieve an accurate perspective effect were developed during the Renaissance. With the rise of computer graphics, translating the geometric ideas of 600…

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) propose a new vision for the mathematics classroom with updated content standards and Standards for Mathematical Practice (SMP). These practices are founded on NCTM processes (Problem Solving, Reasoning and Proof, Communication, Representation, and Connections) and abilities…

China and the US have responded to the challenges of a knowledge-based society, technological advancement, and global competition by implementing educational reforms to impart skills or competencies required of 21st century students. This study compares the rationales, content, and curricula design of both countries' key competencies frameworks…

Drawing on 1508 US secondary teachers' data from Teaching and Learning International Survey (TALIS) 2013, this study examines new and veteran US teachers' needs, support, and barriers for professional development (PD). The results indicated that both veteran and new teachers reported needing PD that addresses implementation of national/state…

Statistics standards found in the Common Core (CCSSI 2010) and other state standards require considerable instructional time and focus for students to develop the depth and breadth of understanding necessary. In this article, the authors offer an approach to teaching a statistics unit that combines student choice with authentic and sustained…

Imagine a mathematics classroom in which students engage in sharing ideas and reasoning through solutions to interesting mathematical problems. They are excited about mathematics and working on challenging problems that encourage collaboration and critical thinking. These are things that teachers want, but sometimes they do not know how to achieve…