MATHEMATICS STANDARDS and STATE-LEVEL SITES

NCTM

- Principles to Actions
- Standards from NCTM
- Curriculum Focal Points (This document details 3 key mathematical ideas for each grade level, K-8.)
- Illuminations (lesson activities and interactives)
- Calculation Nation (math games)

California Department of Education

- CA Mathematics Framework
- CA Assessment of Student Performance and Progress (CAASPP)
- CA Science Standards (NGSS adopted in 2013)
- Signature Practices of High-Achieving California Schools

Virtual Manipulatives

Math Activities from Florida - great stuuf!

Analyzing Smoking and Lung Cancer (using scatterplots, least squares regression lines, …)

Marilyn Burns’ Lessons for Algebraic Thinking (two sample lessons for each book)

Coolmath Algebra GamesOnline applets from Geogebra

Research Articles by the Early Algebra Project

I Love Math - A teacher's site with lots of great lessons and notes for being an effective teacher of math!

Algebra Lab Gear – complete textbook and lessons that approach algebra through manipulatives and visual representations

Algebraic Reasoning game with balance scales

Resources for Algebra (and other mathematics courses)

More resources for Algebra (and other mathematics courses)

Lessons and Activities for the TI Calculators

GEOMETRY ONLINE INVESTIGATIONS/ACTIVITIES

Interactive Math Puzzles and AppletsRelationships between Area and Perimeter

Geometry Gallery of Imaginary Animals

Online interactive Geometry text

Full text of Euclid's Elements with interactive applets,

Online Manipulatives

Space and Shape in Geometry - Annenberg Teachers' Lab

BLOGS & NEWSLETTERS

CA Online Math Ed Times (COMET) by mathematics educator Dr. Carol Fry Bohlindy/dan Dan Meyer's blog - awesome ideas for conceptually-oriented teaching from Dan Meyer

Fires in the Mind - examples of student-driven mathematics learning

Exponential Curve (by teacher Dan Greene)

http://mathmamawrites.blogspot.com/ (by college mathematics instructor Sue VanHattum)

http://busynessgirl.com/category/math/ (by college mathematics instructor Maria Anderson)

TEACHING CASES ONLINE

Inside Teaching videos and reflections (K-12 and all content areas)

Florida teachers using interactive, hands-on lessons in mathematics

Model lessons in middle school mathematics (w/ videos)

Using Interactive Whiteboard Technology to Engage Learners of Mathematics (clips and resources)

Case study of high school teachers teaming to increase student achievement

Rebecca Tatistcheff (mathematics) and Patrick Reimer (special education), teachers at Community School for Social Justice in Bronx, New York City

ASSESSMENT RESOURCES

Web-based "audits" of math knowledge in several content strands http://www.cimt.plymouth.ac.uk/interactive/ttaaudits/default.htm

NZ Diagnostic Tests http://www.nzmaths.co.nz/numeracy/SNP/Interview.aspx [8-12] http://www.nzmaths.co.nz/numeracy/2007numPDFs/pdfs.aspx [K-7]Math tests in Spanish (grades 1-Calculus) http://www.sectormatematica.cl/pruebas.htm

Here is a neat website that uses released items from the TIMSS http://nces.ed.gov/nceskids/eyk/

Also using TTMSS items, this site lets you select specific grade level and content strands http://www.getsmarter.org/index.cfm

Oregon Math Assessment Rubric http://educationnorthwest.org/

Exemplars from New Zealand's Math Standards http://www.tki.org.nz/r/assessment/exemplars/maths/index_e.php

Balanced Assessment offers open-ended items http://balancedassessment.concord.org/

CARTOONS & JOKES

Bamdad's Math Comics

Andrej and Elena Cherkaev's Math Jokes

CLASSROOM MANAGEMENT

http://assist.educ.msu.edu/ASSIST/classroom/managing/indexman.htm http://www.teachervision.fen.com/teaching-methods/classroom-management/6711.html

http://www.teachervision.com/lesson-plans/lesson-6400.html

http://www.teachervision.com/lesson-plans/lesson-6283.html

Math Counts - middle school mathematics contest

Math Video Challenge - students create a two-minute video about math and compete nationally!

ASA Statistics Poster and Project Competitions - for elementary through high school

Mathematics Projects - non-competitive but really good projects!

CURRICULUM/LESSON PLANS (various content areas)

Mathematics Developmental Curriculum - Key concepts and skills K-9 with links to lesson activities and misconceptions

Select Math (connects grade 6-Algebra II content to virtual manipulatives)

Junior High Math Interactives (video and flash activities) from Alberta, Canada

Project Ideas for Pre-Algebra, Algebra, and Geometry

Activities for Math Lessons offers great ideas for helping students develop understanding (grades K-8)

Performance Stations for Mathematics Grade 6, Grade 7, Grade 8, Grade 9

Federal Resources for Educational Excellence

Mathematics, Science, and Technology lessons

InterMath Links to Online Mathematics Activities

Math Forum Library http://mathforum.org/library/

PBS Mathline (online video clips of math lessons – all grades)

PBS Teacher Source

Textbook Revolution, free online textbooks

National Repository of Online Courses

MIT offers hundreds of FREE course websites, some with video (see Dr. Lewin's Physics lectures!)

DICTIONARIES

Spanish-English Math Dictionary

English-Spanish glossary with visual examples

EQUITY AND ACCESS

SACNAS Biographies of Mathematicians and Scientist of Color

Teaching Math through Culture

Ensuring Equity and Excellence in Mathematics

Model of Essential Supports for Student Learning

ENGLISH LANGUAGE LEARNERS and SPANISH LANGUAGE

Teachers' Guide to Teaching Mathematics for English Language Learners - outstanding! http://www.tsusmell.org/

Well-organized site with Spanish language resources for learners of math: http://www.disfrutalasmatematicas.com/

Another site with Spanish language resources for mathematics learners: http://www.cientec.or.cr/matematica.html

FAMILIES AND MATH ACTIVITIES

School Math Night Ideas - Awesome collection of pre-formatted tasks for families to enjoy during Math Night!

Figure This - Interesting math challenges that middle-school students can do at home with their families.HISTORY OF MATHEMATICS

History of Mathematics by David Joyce at Clark University

LEARNING THEORIES

Adding It Up: Helping Children Learn Mathematics (an online book from www.nap.edu)

State of the Art: Transforming Ideas for Teaching and Learning Mathematics by Carol Lacampange

Constructivist Learning Theory

MANIPULATIVES/ ON-LINE TOOLS

Animations from New Zealand's Math Standards http://www.nzmaths.co.nz/

WisWeb - Over 100 applets for middle school and high school math topics http://www.fi.uu.nl/wisweb/en/List of online math applets and activities organized by content strand from Education Development Center http://www2.edc.org/mistm/

Interactive Teaching Programs (applets) from the UK http://www.taw.org.uk/lic/itp/index.html

Interactive Math http://www.intmath.com/

Geogebra - Free dynamic mathematics software for schools that joins geometry, algebra and calculus http://www.geogebra.org/cms/

Lessons made with Geogebra: Online applets from Geogebra: http://www.geogebra.org/en/wiki/index.php/English

Online Tools for Algebra Readiness Lessons http://www.neirtec.org/activities/math_portal.htm

Thinking Blocks develops a modeling approach to word problems http://www.thinkingblocks.com/

Seeing Mathematics: Online Tools for Visual Representation http://seeingmath.concord.org/sms_interactives.html

Project Interactivate (Shodor Center) http://www.shodor.org/interactivate/

National Library of Virtual Manipulatives for Interactive Mathematics http://nlvm.usu.edu/en/nav/vlibrary.html

NCTM Selected Online Math Tools http://illuminations.nctm.org/

Wolfram Middle School Math Demonstrations (need to download free Mathematica player) http://demonstrations.wolfram.com/topic.html?topic=Middle%20School%20Mathematics&limit=20

Interactive Math on the Web (a ton of content-specific websites) http://www.globalclassroom.org/ecell00/javamath.html

Activities and Demonstrations from Math Warehouse http://www.mathwarehouse.com/interactive

Weblinks from author of Pictorial Mathematics, Guillermo Mendieta http://www.pictorialmath.com/resources.html

Excellent site with lesson plans for Integer Bars to explore fraction, decimal, and percent representations http://arcytech.org/java/integers/

Several Online Applets for Math Learning http://arcytech.org/java/

NCSM Links to Journal Articles about Using Mathematical Tools http://www.ncsmonline.org/

Using Virtual Manipulatives to Develop Number Sense http://mason.gmu.edu/~mmankus/talks/nctm2000/nctmch00.htm

Types of Manipulatives (K-8) http://jeffcoweb.jeffco.k12.co.us/isu/math/mathsd/materials/uses.htm

MOTIVATION

http://www.ncrel.org/sdrs/areas/issues/students/learning/lr200.htm

http://www.ncrel.org/sdrs/areas/rpl_esys/thinking.htm

Why do we need to learn algebra? Plus lots more links... http://teachers.sduhsd.k12.ca.us/abrown/resources.htm

Futures Channel http://www.thefutureschannel.com/

Brainology - Fixed vs. Growth Mindset http://www.brainology.us/

NUMBER SENSE

Number Concepts: Teams Distance Learning (LAUSD) http://teams.lacoe.edu/documentation/classrooms/amy/number/5-6/5-6.html

Virtual Manipulatives http://www.matti.usu.edu/ma/nav/index.jspExploring Fractions with a Java Applet http://www.arcytech.org/java/patterns/

Five Rules of Fractions using Pattern Blocks http://www.pleasanton.k12.ca.us/pleasanton/MathWeb/Grade4and5/Fractions/UsingPatternBlocks/UsingPatternBlocks.html

Fractions with Pattern Blocks http://math.rice.edu/~lanius/Patterns/

Introduction to Fractions for Primary Students http://mathforum.org/varnelle/knum.html

Rational Numbers Relationships Using Excel http://www.teacherlink.org/content/math/activities/ex-ratio/

Tour of Fractions http://mathforum.org/paths/fractions/

Understanding Fractions (from Neufeld Math) http://www.neufeldmath.com/download/

Worksheets: http://www.neufeldmath.com/ss/

Visual Fractions http://www.visualfractions.com/

PROBABILITY

Probability by Surprise

Probability Problem Bank - created by math student teachers at University of Virginia

Virtual Manipulatives

PROFESSIONAL DEVELOPMENT

Improving Learning in Mathematics (6 CDs of content online including video clips)Online Video-based Content Courses for Middle School Math Teachers

Increasing Your Mathematics and Science Content Knowledge http://www.goenc.com/

Online Journal of School Mathematics http://my.nctm.org/eresources/tocgraphic.asp?journal_id=6

Looking Inside the Classroom: A Study of K-12 Mathematics and Science Education in the United States (May, 2003)

Modeling Middle School Mathematics Video Showcase

SPECIAL NEEDS STUDENTS

Dyscalculia

Learning Disabilities in Mathematics

Math Learning Disabilities

STATISTICS

American Statistical Association Education site - tons of great materials for K-12 teachers!

TECHNOLOGY

Center School District's Technology Site (Great stuff!)

Graphing Calculator Activities

Fractals Unit for Elementary and Middle School

NCTM Interactive Online Investigations

Tech Powered Math blog – great activities for graphing calculators from algebra through Calculus

VIDEOS OF/ABOUT MATH

Futures Channel (inspired by teacher Jaime Escalante of Garfield HS)

Math in Real Life - TED Talks

MathFlix

WRITING TO LEARN MATHEMATICS

MathWire Writing in Math

Writing in Mathematics ideas from West Virginia Dept of Education