The present study aims to compare the geometry standards in U.S. Common Core State Standards of Mathematics (CCSSM) and Chinese Compulsory Education Mathematics Curriculum Standards (CMCS) through the lens of van Hiele levels. The study considered a standard unit as one or multiple learning expectation(s) and placed each learning expectation into…

As part of its proposal to the U.S. Department of Education, the Partnership for Assessment of Readiness for College and Careers (PARCC) committed to developing model content frameworks for mathematics to serve as a bridge between the Common Core State Standards and the PARCC assessments. The Model Content Framework for Mathematics for each grade…

When it comes to mathematics, standards aligned is achievement aligned… In the short time since "The Common Core Mathematics Companions" for grades K-2, 3-5 and 6-8 burst on the scene, they have been lauded as the best resources for making critical mathematics ideas easy to teach. With this brand-new volume, high school mathematics…

On February 18, 2015, the New York State Education Department (NYSED) conducted a Performance Level Description Development meeting in Albany, New York. The meeting was convened to articulate the knowledge and skills expected of students at each level of performance, consistent with the policy vision set forth by the NYSED. The Performance Level…

The high school curriculum sometimes seems like a disconnected collection of topics and techniques. Theorems like the factor theorem and the remainder theorem can play an important role as a conceptual "glue" that holds the curriculum together. These two theorems establish the connection between the factors of a polynomial, the solutions…

The Odd Shape Out task was an open-ended problem that engaged students in comparing shapes based on their properties. Four teachers submitted the work of 116 students from across the country. This article compares various student's responses to the task. The problem allowed for differentiation, as shown by the many different ways that students…

The Common Core State Standards in Mathematics (CCSSM) represent a major attempt in a long line of attempts to reform the American Education system surrounding Mathematics. These standards aim to establish a nationwide set of curriculum, seeking to ensure equity for all students in the U.S.A. Some of the standards included are new to all teachers…

This study examined High School Geometry standards from recent individual states' and the Common Core Standards (CCSSM) featuring reasoning and proof. We examined specificity of content and use of proof or reasoning as a process in the language of standards. Results indicated standards with proof as its primary process are more likely to have…