Read-alouds of picturebook biographies offer children engaging windows into the lives and work of famous (and sometimes not-so-famous) mathematicians to observe and discuss their ways of learning and doing mathematics--their mathematical practices. The Standards for Mathematical Practice (SMPs), although generally embodied in the work of…

The demand for engineering education and graduates is increasing daily because the current service and technological designs are unable to meet the needs of the society and the expected dramatic increase in the future. The emerging skill gap requires a shift in the type of expertise required of young professionals that will be needed to…

The goal of this primer is to help education leaders understand the mutually reinforcing relationship between social and emotional development and ambitious academic goals. Instruction that promotes students' social and emotional development (SED) facilitates better student outcomes on college- and career-ready (CCR) standards. The converse is…

Sustaining engagement with a mathematics task is not a novel suggestion for effective mathematics teaching. "Principles and Standards for School Mathematics" (2000) specified that "students need to know that a challenging problem will take some time and that perseverance is an important aspect of the problem-solving process and of…

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…

We discuss a model of academic rigor and apply this to a general education introductory astronomy course. We argue that even without central tenets of professional astronomy-the use of mathematics--the course can still be considered academically rigorous when expectations, goals, assessments, and curriculum are properly aligned.

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…

Issues of disconnect and isolation from other disciplines seem to plague numerous subjects taught in high schools today. Although they share common roots, mathematics, natural sciences and humanities appeared to have developed rich, but separated curricula with only occasionally emphasized and seemingly weak connections between their respective…

The "PARCC College- and Career-Ready (CCR) Determinations in ELA/literacy and mathematics" describe the academic knowledge, skills, and practices in English language arts/literacy and mathematics students must demonstrate to show they are able to enter directly into and succeed in entry-level, credit-bearing courses and relevant…

A team of teachers from the same New York City public school met to discuss and compare the Common Core State Standards for Mathematics (CCSSM) to their current math curriculum. The group consisted of four kindergarten teachers, a representative from the first-grade teaching team, and the school's math coach. During the first meeting, the…

The Standards for Mathematical Practice (SMP) in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) highlight the mathematical habits that educators should be fostering in mathematics classrooms throughout K-grade 12 education. That argumentation and discourse are important components of developing mathematically proficient…

This document contains all of the Minnesota kindergarten academic standards in the content areas of Arts, English Language Arts, Mathematics, Science and Social Studies. For each content area there is a short overview followed by a coding diagram of how the standards are organized and displayed. This document is adapted from the official versions…

This Framework builds upon the foundation of the 2010 Massachusetts Curriculum Framework for Mathematics as well as versions of the Massachusetts Mathematics Framework published since 1995. The current Framework incorporates improvements suggested by Massachusetts educators after six years of experience in implementing the 2010 standards in their…

In the spring and fall of 2013, the Center on Education Policy (CEP) convened two meetings of researchers, policymakers, and practitioners to discuss ideas for a more relevant and coordinated research agenda on the Common Core State Standards. Participants in these meetings identified several needs and made a number of thoughtful suggestions. Many…

When examining transformations of the plane in geometry, teachers typically have students experiment with transformations of polygons. Students are usually quick to notice patterns with ordered pairs. The Common Core State Standard, Geometry, Congruence 2 (G-CO.2), requires students to describe transformations as functions that take points in the…