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iTEACH Math


iTEACH workshop information and brochure, NH, 8/5-8/6

Workshop Overview

See below for Workshop Resources

Technology tools and web-based materials support teachers and students in meeting the Maine Learning Results, NCTM principles and standards for school mathematics, and ISTE technology literacy standards. This workshop, designed to support middle school teachers of mathematics, will explore a range of online applets, tools, web-based resources, and exemplary projects that utilize content centered technology application to support these goals.

Participants will learn about and experiment with technology tools that can be used to support mathematical investigation, facilitate the organization and analysis of data, engage learners in reasoning and problem solving, and deepen reflection. For example, participants will engage in mathematical investigation using online math applets, learn about online math resources, and be introduced to online professional development forums. Participants will complete the workshop with a collection of resources and preliminary plans for an online math activity that utilizes technology to serve curricular goals.

Goals and Products

This professional development experience will enable participants to:

  1. Learn how the Maine Learning Results and NCTM Mathematics Standards can be met by the integration of technology into the curriculum;
  2. Learn how new technologies can enhance conceptual understanding in mathematics;
  3. Explore and analyze a collection of web-based resources for curricular and instructional use;
  4. Develop preliminary plans for a technology-enhanced math lesson that addresses curriculum and technology standards.

Format

The workshop will include two day-long, face-to-face, hands-on sessions. The sessions will include the following:

Management Tools

Trackstar
http://trackstar.hprtec.org
TrackStar helps instructors organize and annotate Web sites (URLs) for use in lessons. The resource list remains visible allowing the user to easily stay on track.

Portaportal
http://www.portaportal.com
Portaportal is a web based bookmarking utility that lets you store links to
your favorite websites online.

Resources to Support Technology Integrated Mathematics:
General resources and lesson plans

NCTM Illuminations -- Selected Web Resources
http://illuminations.nctm.org/swr/index.html
Selected Web Resources are links to useful mathematics education resources on the Internet. They can be used to improve the teaching and learning of mathematics for all students and can help you understand and apply the NCTM Principles and Standards for School Mathematics.

NCTM Illuminations -- Internet Based Lesson Plans
http://illuminations.nctm.org/lessonplans/index.html
Internet-Based Lesson Plans are examples of how the Internet can be used to help create effective Standards-based mathematics lessons. For example, internet websites can provide real-world data that can be analyzed or used to develop mathematical concepts. Other sites may provide detailed information about areas in which mathematics is applied or contain tools that can be used to graph, visualize, or compute

The Math Forum
http://mathforum.org/
The Math Forum is a leading center for mathematics and mathematics education on the Internet. The Math Forum's mission is to provide resources, materials, activities, person-to-person interactions, and educational products and services that enrich and support teaching and learning in an increasingly technological world. (Including Problem of the Week)

Eisenhower National Clearinghouse (ENC) -- Mathematics Links
http://www.enc.org/weblinks/math/

Connected Math Project
http://www.math.msu.edu/cmp/
The Connected Math Project site houses materials to support the implementation of CMP. It includes materials for teachers, students, and professional development specialists in the area of curriculum, assessment, professional development, research, implementation, and resources to name a few.

Mathematics Lessons that are Fun
http://math.rice.edu/~lanius/Lessons/

Yahooligans -- Math
http://www.yahooligans.com/School_Bell/Math/
Student Search Engine

Resources to Support Technology Integrated Mathematics:
Interactive Math Applets

NCTM Illuminations -- Mathlets
http://illuminations.nctm.org/mathlets/index.html
Math•lets are math applets you can use to explore math and create interactive lessons. See our i-Math Investigations for examples of lessons that use Math•lets. (You can find some college-level mathlets in the Mathematical Association of America's online journal, JOMA.)

NCTM Illuminations -- i-Maths
http://illuminations.nctm.org/imath/index.html
i-Maths are online, interactive, multimedia math investigations. All i-Maths are built around interactive math applets, and some also include video clips. Complete i-Maths include student investigations, teacher notes, and answers. Some of the multi-day i-Maths also include video clips of teachers and students using the investigation, sample student work, assessment tasks, and related professional development activities.

National Library of Virtual Manipulatives
http://matti.usu.edu/nlvm/nav/vlibrary.html
A library of virtual manipulatives aligned with NCTM mathematics standards for grades PK-12 in the areas of number, algebra, geometry, measurement, and data & probability.

Explore Math
http://www.exploremath.com/activities/index.cfm
Interactive Applets and Activities that create real-time correlations between equations and graphs that help students visualize and experiment with many of the major concepts from Elementary Algebra through Pre-Calculus.

Visual Fractions
http://www.visualfractions.com/
This interactive World Wide Web (WWW) site aims to reduce fraction anxiety in adults and students by helping the user picture fractions and the operations that can be performed on them

Project Interactivate
http://www.shodor.org/interactivate/
Project Interactivate goals include the creation, collection, evaluation, and dissemination of java-based courseware for middle school mathematics explorations. "Interactivated" lessons, discussions, and activities enable the teacher to extend hands-on activities and to teach new content areas incorporating technology in appropriate ways.

Manipula Math with Java
http://www.ies.co.jp/math/java/index.html
The Middle School section features 88 Applets Theorem and an Applet for exploring the Pythagoras tree fractal. This fractal ends up having a broccoli stalk form. This site also includes virtual manipulatives for exploring hundreds of mathematical ideas including the size of the exterior angles of a polygon and the ratios found in the length, width, and area of rectangles.

Pattern Blocks: Exploring Fractions
http://www.best.com/~ejad/java/patterns/patterns_j.shtml
The learner can experiment with what it means to be a fractional part of a whole with online pattern blocks, which are modeled on the familiar plastic blocks. Pattern blocks - either virtual or real--can be used in conjunction with activities from No Matter What Shape Your Fractions Are In http://math.rice.edu/~lanius/Patterns/

Cynthia Lanius' site
http://math.rice.edu/~lanius/fractals
Activities and lessons for learning about and exploring fractals online with both virtual manipulatives and physical models. The activities illustrate the iteration and self-similarity that are characteristics of fractals. The wow on this site is seeing, on screen and in color, the iterative process as the details in the original triangle grow more complex.

Zona Land
http://id.mind.net/~zona/mmts/mmts.html
Virtual manipulatives for exploring the link between the constants found in polynomial equations and their graphs. Also try exploring the effects of changing the constants in second-degree polynomials. http://id.mind.net/~zona/mmts/functionInstitute/polynomialFunctions/
graphs/degree2PolynomialFunction.html

Virtual Reality Polyhedra
http://www.georgehart.com/virtual-polyhedra/vp.html
This site offers online interactive images of complicated three-dimensional figures that can be rotated and repositioned for study. Instructions for creating paper models are included. At JavaSketchpad DR3 Gallery http://www.keypress.com/sketchpad/java_gsp/gallery.html the learner can explore the nine-point circle, conic sections, and form the image of a hypercube http://www.keypress.com/sketchpad/java_gsp/hypercube.html

Educational Java Programs
http://arcytech.org/java/
This Web site contains Java™ applets whose purpose is to be used as tools to help and enhance the education of children. The site includes interactive Pattern Blocks, Base 10 Blocks, Integer Bars (or Cuisenaire Rods), Fraction Bars, and tools to explore the Pythagorean Theorem, the Value of Pi and Fractals.

Interactive Mathematics Activities
http://www.cut-the-knot.com/Curriculum/index.shtml
A number of interactive applets organized by content. Varying degrees of functionality and usefulness. Many focus on higher level mathematics but many gems embedded.

NCTM Fraction Model Applet
http://my.nctm.org/eresources/repository/2071/applet/FractionPie/index.html

Fraction Bars Applet
http://arcytech.org/java/fractions/fractions.html
This is an interactive applet designed to create fraction bars. This can be used to explore equivalent fractions, decimals, and percents.

Readings

Virtual Manipulatives
http://otec.uoregon.edu/virtual_manipulatives.htm

"Concrete" Manipulatives, Concrete Ideas by Douglas H. Clements
http://www.gse.buffalo.edu/org/buildingblocks/Newsletters/Concrete_Yelland.htm

EDThoughts: What We Know About Mathematics Teaching and Learning
http://www.mcrel.org/products/math-science/index.asp

Technology Meets Math Education: Envisioning a Practical Future
Andee Rubin
http://www.air-dc.org/forum/abRubin.htm

Teaching and Learning K-8 Mathematics and Science Through Inquiry: Program Reviews and Recommendations
http://www.ncrel.org/engauge/resource/k8.htm

Mathematically Appropriate Uses of Technology
http://my.nctm.org/eresources/view_article.asp?article_id=2264