Mathematics Information
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Learning Standards and Guidelines > Content Area Resources > Mathematics > Resources
Resources
Index to Mathematics Resources
Common Core State Standards for Mathematics
Past Mathematics Workshops and Presentations
Topics on Teaching and Learning
Computer Tools for Teaching
National Reports and Similar Documents
Other Mathematics Standards
Student Opportunities in Mathematics
Mathematics Content Area Literacy
Past Mathematics Workshops and Presentations
Standards, Assessment, and Instruction: Connecting the Dots
Portland and Brewer, November 12 & 13, 2009
Instructional Planning for the 2009/2010 School Year. On November 12 & 13, 2009, the Maine Department of Education held the first in a series of workshops to help Maine mathematics educators understand accountability standards and their relation to the Maine Learning Results: Parameters for Essential Instruction, and plan classroom instruction to support student learning.
Presentation Materials
This PowerPoint presentation outlines the use of the Appendices of the NECAP GLEs to help guide instruction, as well as providing a sample strategy for solving constructed response questions.
PowerPoint
PDF
Topics on Teaching and Learning
Helping Children Learn Mathematics (2002) by Jeremy Kilpatrick and Jane Swafford, Editors; Mathematics Learning Study Committee; National Research Council
Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we re teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre--kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
http://www.nap.edu/catalog.php?record_id=10434
The Math Forum at Drexel
More great teaching ideas than you could ever use. Teacher to teacher forums, tools and lessons are just some of the content.
Problems with a Point
An extensive collection of problems and problem sequences. The set can be searched by topic, duration of activity, student prior knowledge, porblem-solving strategies, and technologies utilized. Search this resource when you want a problem to help students develop a concept. All have printable student copies and solutions. some have problem hints and other teaching ideas included.
Computer Tools for Teaching
Activities using Applets
MISTM Math Portal
This site has links to many, many applets arranged by the 1997 MLR clusters (very close to the 2007 standards), a great resource.
Interactivate
The goals of Interactivate are the creation, evaluation, and dissemination of interactive Java-based courseware for exploration in science and mathematics. There are activities, tools and a dictionary for students and lessons and discussions for teachers. A new feature is “assessment” where some activities keep score for students.
NCTM Illuminations
The site has lessons (516) and interactive activities (103) that “illuminate” the standards of the Principles and Standards for School Mathematics.
Open Source Software
Geogebra
GeoGebra is a free and multi-platform dynamic mathematics software for schools that joins geometry, algebra and calculus. It receivedseveral international awards including the European and German educationalsoftware awards. This page has links to a wiki, help pages, user forum and a newsletter. There is a broad international community of users.
National Reports and Similar Documents
Report of the National Math Panel (2008)
President George W. Bush created the National Mathematics Advisory Panel (National Math Panel) in April 2006. The panel was charged with providing recommendations to the President and U.S. Secretary of Education Margaret Spellings on the best use of scientifically based research to advance the teaching and learning of mathematics. The National Math Panel's final report, issued on March 13, 2008, contains 45 findings and recommendations on numerous topics including instructional practices, materials, professional development, and assessments.
Click here for more information
Adding it Up: Helping Children Learn Mathematics (2002)
Authors: Jeremy Kilpatrick, Jane Swafford, Bradford Findell, Editors; Mathematics Learning Study Committee, National Research Council.
Adding it Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years. (NAP description)
Click here to read online The executive summary is especially nice.
How Students Learn Mathematics in the Classroom (2005)
Authors: M. Suzanne Donovan and John D. Bransford, editors, Committee on How People Learn: A Targeted Report for Teachers, National Research Council
How Students Learn: Mathematics in the Classroom builds on the discoveries detailed in the best-selling How People Learn. Now these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. This book shows how to overcome the difficulties in teaching math to generate real insight and reasoning in math students. It also features illustrated suggestions for classroom activities (NAP description).
Click here to read online
How People Learn: Brain, Mind, Experience, and School (2000)
Committee on Developments in the Science of Learning with additional material from the Committee on Learning Research and Educational Practice, National Research Council
This popular trade book, originally released in hardcover in the Spring of 1999, has been newly expanded to show how the theories and insights from the original book can translate into actions and practice, now making a real connection between classroom activities and learning behavior. (NAP description).
Click here to read online
Other Mathematics Standards
National Council of Teachers of Mathematics
NCTM Principles and Standards of School Mathematics
Published in 2000, PSSM is the “new” standards document of the National Council of Teachers of Mathematics it. NCTM describes PSSM as, “The mathematical understanding, knowledge, and skills that students should acquire from Pre-K through grade 12.”
Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics
Published in 2007, Curriculum Focal Points outlines areas of focus by grade level, three areas of focus for each grade level. NCTM defines curriculum focal points as the most important mathematical topics for each grade level. They comprise related ideas, concepts, skills, and procedures that form the foundation for understanding and lasting learning. They are the topics that should be considered as the basis for decisions about curriculum development.
American Association for the Advancement of Science
Benchmarks for Science Literacy
Published in 1993, “Benchmarks” is a companion document to Science for All Americans, the first report of AAAs Project 2061. Chapters 3, 9, and 12 deal with mathematics. Chapter 15 is also useful as a source of information on student learning research.
American Statistical Association
Guidelines for Assessment and Instruction in Statistics Education (GAISE) Report: A Pre-K-12 Curriculum Framework
The GAISE Report, published in 2005, was written to support the development of statistical literacy of students.
National Assessment of Educational Progress (NAEP)
Mathematics Framework for the 2007 National Assessment of Educational Progress
This is the document that guides the production of the national testing program in mathematics. It is produced by the National Assessment Governing Board.
Others
University of Maine System Statement on College Readiness for Mathematics
Achieve K-12 Mathematics Benchmarks and related tasks
College Board Standards for College Success™ Mathematics and Statistics
Student Opportunities in Mathematics
Competitions
Competition websites are rich sources of problem even if students choose not to participate as competitors. Here are just a few of the many contests.
MATHCOUNTS
The mission of MATHCOUNTS is to increase enthusiasm for and enhance achievement in middle school mathematics throughout the United States. MATHCOUNTS has a competition and club component.
The American Mathematics Competitions
The American Mathematics Competitions is a program of the Mathematical Association of America dedicated to the goal of strengthening the mathematical capabilities of our nation's youth. We believe that one way to meet this goal is to identify, recognize and reward excellence in mathematics through a series of national contests.
The International Mathematical Olympiad (IMO)
IMO is the World Championship Mathematics Competition for High School students and is held annually in a different country. The first IMO was held in 1959 in Romania, with 7 countries participating. It has gradually expanded to over 90 countries from 5 continents.
Math Olympiads
This is a large program with two divisions: grades 4-6 and 7-8. There are lots of sample problems.
Learning and Assessment Resources
SAT Question of the Day
Student Forums
The Art of Problem Solving Community
There is a series of discussions, wikis, free online sessions, and blogs. Linked from the MAA site.
Mathematics Content Area Literacy
CCSSO Adolescent Literacy Toolkit
A rich, free resource developed by a national team including a couple of Maine educators. There are three in-depth mathematics examples. The content area literacy guide is general, but has lots of strategies.
Click here to access the CCSSO Adolescent Literacy Toolkit
What is the Role of Oral and Written Language in Making Knowledge in Mathematics?
This is a PowerPoint presentation (with notes) by Dr. Hyman Bass, Professor of Mathematics and Professor of Mathematics Education at the University of Michigan on language and mathematics learning. This is not so much about strategies but is about the role of language in mathematics understanding and learning with implications for teaching.
Click here to view the presentation (PDF)
Updated 9/13/11 -pb
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