Getting the right answers in maths is only half the problem. Understanding why what you're doing works is the part that often stumps students and teachers alike. The essential guide for mathematics teachers and those training to teach, "Yes, but Why?" answers all your questions, and sheds light on the hidden connections between…

The National Assessment of Educational Progress (NAEP) is the largest continuing and nationally representative assessment of what students in public and private schools know and can do in various subjects. First administered in 1969, NAEP collects and reports information on student trends and performance and compares the achievement of students in…

The New York State Education Department (NYSED) has a partnership with Questar Assessment Inc. (Questar) for the development of the 2020 Grades 3-8 Mathematics Tests. Teachers from across the State work with NYSED in a variety of activities to ensure the validity and reliability of the New York State Testing Program (NYSTP). The 2020 Grades 6-8…

The New York State Education Department (NYSED) has a partnership with Questar Assessment Inc. (Questar) for the development of the 2020 Grades 3-8 Mathematics Tests. Teachers from across the State work with NYSED in a variety of activities to ensure the validity and reliability of the New York State Testing Program (NYSTP). The 2020 Grades 3-5…

The New York State Department of Education (NYSED) has a partnership with Questar Assessment Inc. (Questar) for the development of the 2020 Grades 3-8 Mathematics Tests. Teachers from across the State work with NYSED in a variety of activities to ensure the validity and reliability of the New York State Testing Program (NYSTP). The 2020 Grades 6-8…

The New York State Education Department (NYSED) has a partnership with Questar Assessment Inc. (Questar) for the development of the 2020 Grades 3-8 Mathematics Tests. Teachers from across the State work with NYSED in a variety of activities to ensure the validity and reliability of the New York State Testing Program (NYSTP). The 2020 Grades 3-5…

Mathematics assessments should allow all students opportunities to demonstrate their knowledge and skills as problem solvers. Looking at textbook word problems, the authors share a process for revising them using Universal Design for Learning (UDL). Outlined in detail here are problems for kindergarten, grades 5 and 7, and high school (algebra).

To address student misconceptions and promote student learning, use discussion questions as an alternative to reviewing assessments. This article describes how using discussion questions as an alternative to going over the test can address student misconceptions and can promote student learning.

This paper is written to provide ideas and guide faculty who want to design a mathematical modeling course for undergraduate mathematics majors and minors. We discuss course goals, assignments, and projects that can be used to help students gain experience relevant for careers and mathematical modeling opportunities. The authors designed this…

Many studies have claimed that traditional testing actually promotes students' use of superficial approaches to learning. When preparing to take tests, students typically memorize and cram rather than understanding the material and gaining new perspectives. This article describes how the author recast traditional tests by having students take a…

In this insightful math resource for grades 3-8, popular professional developer Marian Small helps teachers understand and facilitate meaningful assessments to advance student understandings. Small shows new and veteran teachers how to do three fundamental things well: identify the most important math to assess; construct meaningful…

The 2014-2015 administrations of the PARCC assessment included two separate test administration windows: the Performance-Based Assessment (PBA) and the End-of-Year (EOY), both of which were administered in paper-based and computer-based formats. The first window was for administration of the PBA, and the second window was for the administration of…

The Partnership for Assessment of Readiness for College and Careers (PARCC) mathematics items measure critical thinking, mathematical reasoning, and the ability to apply skills and knowledge to real-world problems. Students are asked to solve problems involving the key knowledge and skills for their grade level as identified by the Common Core…

In this article the authors describe a project during which they unpacked fraction standards, created rigorous tasks and lesson plans, and developed formative and summative assessments to analyze students' thinking about fraction multiplication. The purpose of this article is to (1) illustrate a process that can be replicated by educators…

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…