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Mathematics

The Mathematics Standards describe what students should know and be able to do at grade levels. They reflect the increasing complexity and sophistication that students are expected to achieve as they progress through school. With each standard divided into conceptual strands, this document avoids repetition of learned skills and makes an obvious progression across grade levels less explicit. Teachers shall expect that students know and can apply the concepts and skills expressed at the preceding level. Consequently, previous learning is reinforced but not re-taught. Students who achieve these mathematical standards will be able to communicate mathematically. Although it is an interesting and enjoyable study for its own sake, mathematics is most appropriately used as a tool to help organize and understand information from other academic disciplines. Because our capacity to deal with all things mathematical is changing rapidly, students must be able to bring the most modern and effective technology to bear on their learning of mathematical concepts and skills.

The Pennsylvania Standards Aligned System (SAS)(http://www.pdesas.org/)is a collaborative product of research and good practice that identifies six distinct elements which, if utilized together, will provide schools and districts a common framework for continuous school and district enhancement and improvement. Much research has been conducted regarding what makes a great school. There are many intangible components; however, research supports the notion that great schools and school systems tend to have six common elements that ensure Student Achievement: Clear Standards, Fair Assessments, Curriculum Framework, Instruction, Materials & Resources, and Interventions.

Teacher/Student Resources

Ask Dr. Math is a question and answer service for math students and their teachers. A searchable archive is available by level and topic, as well as summaries of Frequently Asked Questions (the Dr. Math FAQ).

S.O.S. MATHematics is your free resource for math review material from Algebra to Differential Equations! The perfect study site for high school, college students and adult learners.  Get help to do your homework, refresh your memory, or prepare for a test.

Khan Academy is an organization on a mission. We're a not-for-profit with the goal of changing education for the better by providing a free world-class education for anyone anywhere.
All of the site's resources are available to anyone. Khan Academy's materials and resources are available to you completely free of charge.

HippoCampus is a project of the Monterey Institute for Technology and Education (MITE). The goal of HippoCampus is to provide high-quality, multimedia content on general education subjects to high school and college students free of charge.

Math Playground, an action-packed site for elementary and middle school students. Play a math game, solve a logic puzzle, and have some fun!

LearnZillion is a learning platform that combines video lessons, assessments, and progress reporting. Each lesson highlights a Common Core standard, starting with math in grades 3-9.

Curriculum Resources

The State Board adopted Common Core Standards in July 2010. Since that time, the decision was made to craft a set of PA Common Core Standards in English Language Arts and Mathematics. A group of Pennsylvania educators created a draft set of PA Common Core Standards. These new standards mirror the content and rigor of Common Core, but reflect the organization and design of the PA Academic Standards.

Illustrative Mathematics provides guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students experience in a faithful implementation of the Common Core State Standards, and by publishing other tools that support implementation of the standards.

CK-12 provides open-source content and technology tools to help teachers provide learning opportunities for students globally.  Free access to high-quality, customizable educational content in multiple modalities suited to multiple student learning styles and levels, will allow teachers, students and others to innovate and experiment with new models of learning.

Mathematics Assessment Program (MAP) aims to bring to life the Common Core State Standards (CCSSM) in a way that will help teachers and their students turn their aspirations for achieving them into classroom realities.

COMPASS (Curricular Options in Mathematics Programs for All Secondary Students) is a secondary school implementation project funded in part by the National Science Foundation.

Partnership for Assessment of Readiness for College and Careers (PARCC) is a consortium of 22 states plus the U.S. Virgin Islands working together to develop a common set of K-12 assessments in English and math anchored in what it takes to be ready for college and careers.

Smarter Balanced is a state-led consortium developing assessments aligned to the Common Core State Standards in English language arts/literacy and mathematics that are designed to help prepare all students to graduate high school college- and career-ready

National Links

National Council of Teachers of Mathematics is the public voice of mathematics education, supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development, and research.

Pennsylvania Council of Teachers of Mathematics is the premiere statewide organization in Pennsylvania for teachers of mathematics.  Its primary purpose is to promote and support the teaching of mathematics at all levels within the state of Pennsylvania.

The Trends in International Mathematics and Science Study (TIMSS) provides reliable and timely data on the mathematics and science achievement of U.S. 4th- and 8th-grade students compared to that of students in other countries.
http://nces.ed.gov/TIMSS
http://timss.bc.edu/

The National Assessment of Educational Progress (NAEP) is the largest nationally representative and continuing assessment of what America's students know and can do in various subject areas. Assessments are conducted periodically in mathematics, reading, science, writing, the arts, civics, economics, geography, U.S. history, and beginning in 2014, in Technology and Engineering Literacy (TEL).

Council of Chief State School Officers, the Common Core State Standards provide a consistent, clear understanding of what students are expected to learn, so teachers and parents know what they need to do to help them.

Research for Better Schools (RBS) is a private, nonprofit educational organization funded primarily through grants and contracts from the U.S. Department of Education, the National Science Foundation, Mid-Atlantic state departments of education, institutions of higher education, foundations, and school districts.

Assessment Resources

For additional information, please contact:

Kevin Mauro | Math Education Advisor
Pennsylvania Department of Education - Teaching and Learning, Division of Curriculum
333 Market Street | Harrisburg, PA 17126-0333
Phone: 717.772.6904 | Fax: 717.783.3946
kmauro@pa.gov | www.education.state.pa.us