As educators, it is important for us to recognize that our assessment methods affect student attitudes. If we want students to learn from their mistakes and counteract a fixed-mindset of learning, perhaps we should look at what we incentivize in the classroom. Some professors are attempting to counteract math and test anxiety, poor STEM retention,…

While you may be ready to make the change to implementing Mastery Grading, you may still wonder exactly how to do this. This paper seeks to compile recommendations on implementing mastery grading from various sources as well as examples from our own experiences. The reader should expect a detailed overview of the components involved in mastery…

This article details a high school classroom activity in which algebra tiles are used to help students gain a conceptual understanding of completing the square. The activity utilises the eight elements of effective mathematics education suggested in the National Council of Teacher of Mathematics' (NCTM's) "Principles to action: Ensuring…

Standards-based grading (SBG), sometimes called learning objectives-based assessment (LOBA), is an assessment model that relies on students demonstrating mastery of learning objectives (sometimes referred to as standards). The goal of this grading system is to focus students on mastering learning objectives rather than on accumulating points. I…

"Mathematical Thinking: From Assessment Items to Challenging Tasks" is a compilation of 36 problem-based lessons that encourage students to engage in productive struggle and deep thinking. Its 36 full-length lessons for grades 2-8 are each inspired by an actual test item from the National Assessment of Educational Progress (NAEP).…

Planning a lesson can be similar to planning a road trip--a metaphor the authors use to describe how they applied research and theory to their lesson planning process. A map and mode of transportation, the Common Core State Standards for Mathematics (CCSSM) and textbooks as resources, can lead to desired destinations, such as students engaging in…

If students are going to develop reasoning and thinking skills, use their mathematical knowledge, and recognize the relevance of mathematics in their lives, they need to experience mathematics in meaningful ways. Only then will their mathematical skills be transferrable to all other parts of their lives. To promote such flexible mathematical…

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…

"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…

The "Seventh Annual Report Card" provides the most up-to-date information available on Boston's education pipeline, from kindergarten through college graduation, including measures for school readiness, 3rd-grade reading proficiency, 6th-grade mathematics proficiency, 10th-grade academic proficiency, high school completion, dropout…

This paper tabulates the correlation of Virginia's mathematics performance expectations with Virginia's 2009 mathematics standards of learning.

This "Sixth Annual Report Card" reflects the progress that is being made throughout Boston's entire education pipeline. More than 77,000 school-age children live in the City of Boston. The vast majority, 93%, attend a school in the Boston Public Schools system, a Boston Charter public school, or a Boston Catholic school. The goal with…

This "Fourth Annual Report Card" marks a new chapter for the Boston Opportunity Agenda. For the first time, the Boston Opportunity Agenda is reporting student outcomes across Boston Public Schools and Catholic and charter schools. This provides a comprehensive baseline view of the education pipeline for the city's K-12 students. The…

In "Beyond Test Scores: Leading Indicators for Education," Foley and colleagues (2008) define "leading indicators" as those that "provide early signals of progress toward academic achievement" (p. 1) and stress that educators "need leading indicators to help them see the direction their efforts are going in and to take corrective action as soon as…

This "Third Annual Report Card" looks at improvements in the cradle-to-career educational pipeline, the areas where Boston has made modest progress but still has a great deal of work to do, and the places where observers have failed to see the gains that are needed to ensure that Boston is a city of opportunity for all. This report card…