Icttoolsinmathematicsinstruction

ICT TOOLS IN MATHEMATICS
INSTRUCTION

 'Calculators and computers are reshaping the
mathematical landscape, and school
mathematics should reflect those changes.
Students can learn more mathematics more
deeply with the appropriate and responsible use
of technology.They can make and test
conjectures.They can work at higher levels of
generalization or abstraction. In the
mathematics classrooms envisioned in
Principles and Standards, every student has
access to technology to facilitate his or her
mathematics learning.' (National Council of
Teachers of Mathematics / Overview of Principles
and Standards for School Mathematics : 2006)

 When we look atTrends in Mathematics
Education (WWWTools for Education: February
21, 2005), it was mentioned in the Post Script that
'there are lots of interestingWebtools for
teachers and students to use in Mathematics
Education, but they really deserve a dedicated
newsletter - maybe next time...'
Well here we are, finally, to deliver on that
noncore promise. In the intervening period, many
new resources and collections have appeared
online, and ideas continue to mature - perhaps it
was as well to wait.

 Among reasons for deciding that the topic's time
has come:
. the recent survey of readers' preferences indicated
a degree of interest.
. a subsequent watch on current content yielded a
steady trickle of new material.
. August is Australia's National Mathematics Month ,
featuring Literacy and NumeracyWeek

 Mathematics is one of the key STEM disciplines
, even underlying many areas where it's not the
obvious focus - see examples from Projects at
Mathematics Across the College Curriculum
... and anyway, how else could we pass on
some good ideas on New Shapes for Soccer
Balls (Roland Piquepaille / Emerging
TechnologyTrends: July 10, 2006).

Roles for ICTs in Mathematics
Education.
 Not so long back, Maths teachers were generally
seen to be securely ensconced in a relatively stable
core discipline, with a clearly defined pedagogy and
established curricula - many were in no hurry to let
new technology disturb the natural order. However,
a few brave souls have indicated that there may be
room for improvement in the way Mathematics is
taught - see for exampleAmbjorn Naeve's PPT
presentation on Design Patterns in Mathematics
Education (Royal Institute ofTechnology,
Stockholm); in particular:
 Slide 4: Structure ofToday's Math Education System.

 Slide 5: Problems... doesn't stimulate interest,
promote understanding, support
personalisation, support transition between
layers, integrate abstractions with
applications or with human culture.
 Slide 6: Improving Math Education... using ICT
to visualise concepts, interact with formulae,
personalise presentation, rout questions to
live resources.

Expanding on the theme:
 Technology Helps Ratchet Up Math Instruction
(Corey Murray / eSchool News : February 13,
2006) - an American perspective. See also
21st CenturyTeaching; Mapping the
Connections between ICT Literacy Skills,
TechnologyTools, and the Learning Goals of
Core Subject Areas.

 (Ed Hazell / Access Learning: March 2005) -
the section on 21st Century Math promotes
the use of the Math ICT Literacy Map to
identify ways in which technology can be
used to enhance mathematical learning
outcomes.
 IT-Using Mathematic Educators (Oregon
Technology in Education Council) links to
topics such as: Brain Science and Computer
Technology in Math Education andVirtual
Manipulatives.

 ICT and Mathematics Education - a Dutch site
presenting information and resources
regarding the activities of the ICT
Freudenthal Institute and research on
Mathematics Education; links to popular
Dutch websites and a glossary of ICT terms.
 ICT – Bringing Maths to Life andViceVersa
(Adrian Oldknow / 2005) - reports on
initiatives and learning resources in the UK.
See also What's New(ish) in ICT and
Mathematics at Adrian Oldknow's Home Page

 Curriculum and Instruction (CARET, a project
of the International Society forTechnology in
Education) - how can technology be used to
improve mathematics and problem solving
skills? Cites research from a study of the
PLATO learning system.

Motivational Maths.
 The Millennium Mathematics Project - the
University of Cambridge initiative for ages 5-
N, and recipient of the Queen's Anniversary
Prize for Higher and Further Education.
Emphasises enrichment and extension
activities beyond the school curriculum.
Activities include:
 NRICH , offering free enrichment resources
for ages 5-19; staff will also visit schools to
run workshops.

 Plus Magazine - aimed at ages 15+, featuring
articles on mathematics and applications to
science, art and society; interviews, reviews
and news; a digital careers library.
 the Hands-On Maths Roadshow, promoting
enjoyable mathematics at schools and public
events.
 the Enigma Schools Project's workshops,
exploring cryptography.

 How Maths Can Be Great Fun (Soutik Biswas /
BBC News: July 24, 2006) - an account of
HeyMath's success in India. HeyMath! is an E-
learning system for students in Grades 5-12
and their teachers; sample lesson and free
trial.

 COMPASS - a project promoting the
improvement of secondary school
mathematics learning outcomes, offering a
choice from 5 proven curricula :
 Mathematics: Modeling OurWorld uses
contextual questions about the real world and
life in it to motivate mathematical
investigation.
 Contemporary Mathematics in Context -
extends the informal knowledge of data,
shape, change, and chance to situations and
problems.

 Interactive Mathematics Program - a problem-
based approach.
 MATH Connections: a Secondary Mathematics
Core Curriculum - a topical approach
emphasising real-world applications and
problems from the sciences, humanities,
business and industry.
 SIMMS Integrated Mathematics: A Modeling
Approach UsingTechnology - designed to
replace most grade 9 - 12 mathematics
courses.

Concerning Hardware.
 On the Use of HandheldTechnology in Math
Instruction (Lars Jakobsson / Malmo University, 2001)
- a calculated prediction: 'There are many reasons to
believe that the use of ICT in mathematics will be
concentrated on handheld technology'.
 Making Math Interesting: All ItTakes Is a Laptop (K-12
Computing Blueprint: February 01, 2006) - as
reported from Seymour Papert's seminar on '
Mathematics Education for the Future' at Liberty
School, Maine.
 UsingTechnology to Enhance Math Learning (Math
Forum @ Drexel: May 17, 2005) - questioning the
focus on the use of calculators.

 Why DoTeachers Recommend Graphing
Calculators? - Texas Instruments answers:
research shows that graphing calculators can
help students understand math. See also links
to Classroom Activities and Professional
Development.
 The Educational Use of the Graphic Calculators
TI-82 andTI-83 (Texas Instruments /
MathsNet.com)
 Graphics Calculators and School Mathematics
(Australian Association of Mathematics
Teachers) - a very positive recommendation.

Some Useful Software.
 ATaxonomy of Software for Mathematics
Instruction (Terri L. Kurz, James A. Middleton
and H. BahadirYanik / 2005) identifies 5
categories of tool-based mathematics
education software, and considers
affordances and constraints of each type.
How well do the following examples fit?
 Math Blaster (Knowledge Adventure) - the
current version of a veteran product.

 Pattern Block Program (Jacobo Bulaevsky) -
explore patterns using shapes. Designed to
complement No MatterWhat ShapeYour
Fractions are In (Cynthia Lanius, 2004)
 InspireData: Giving Students the Power to
Visualize, Investigate, and Understand Data
(TERC / July 10, 2006) - a review. See also the
Inspiration website to see examples of
classroom use, download a free trial version,
find information on related products.

 Maple 10 - Maplesoft's analytical tool.
 Mathematica 5.2 (Wolfram Research)- 'the tool of
choice at the frontiers of scientific research, in
engineering analysis and modeling, in technical
education'
 ScientificWorkplace 5.5 (MacKichan Software) -
create, edit, and typeset mathematical and
scientific text. At the same site see also companion
products ScientificWordVersion 5.5 and Scientific
NotebookVersion 5.5.
 The Calculation Management Suite (Mathsoft) - also
lists Math Resources .

 TI InterActive (Texas Instruments) - extensive
Features Summary; download the free 30 day
trial version.
 Tinkerplots Dynamic Data Exploration - a
software construction set of basic operations;
especially useful in teaching data analysis.
 MathsPOWER SoftwareTutoring Programs for
K-12 - Australian Government endorsement,
try before you buy.
 Riverdeep Products & Offerings > Math - large
range of K-12 products.

 Cabri 3D 1.2.1 (CABRILOG SAS) - interactive
computer-based geometry. Download a free
trial version and work through the
Mathematical Association's introduction at
The 3rd Dimension -The Changing Shape Of
Geometry
 Math-Software.net (Merit Software) carries
software reviews, articles, and lists of
Recommended Resources

 Chartwell-Yorke's Advice forTeachers on using
Software for Mathematics Education.. . lists
recommended software, categorised as
Dynamic Interactive Geometry (including free
Cabri resources), Data Handling, Numbers and
Algebra.
 Beatrice C. Babbitt's 10Tips for Software
Selection for Math Instruction (LD OnLine)
may take some of the pain out of
decisionmaking.

Lessons and Activities.
 Mathematics Lessons that are Fun (Cynthia
Lanius) - English / Spanish language options.
 Go Figure! Math Challenge (MATHCOUNTS) -
progressively harder questions.
 Lesson Plans (Thirteen Ed Online) - developed by
teachers for grades 3-12
 National Library ofVirtual Manipulatives for
Interactive Mathematics (Utah State University) -
Pre-K to 12 activities covering: number and
operations; algebra; geometry; measurement;
data anaysis & probability.

 MathTeachers Activities and Ideas Page for
Calculator Activities (Austintown Local
Schools) for Grades 7-12.
 More Mathematics andTheoretical Computer
ScienceVideo Lectures (Peteris Krumins / Free
Science andVideo Lectures Online: June 26,
2006)
 Math Activities Online for Kids (Syvum)

 TI InterActive! in the Classroom (Tor Jan Aarstad
et al / TeachersTeaching withTechnology ) -
activities for learning mathematics and science;
units consist of a number of files, which are
connected by hyperlinks - download all files of
one unit to the the same folder on disk C.
 Years 7-9 RichTask #7: Pi in the Sky (Queensland
Department of Education and the Arts) -
provides access to a range of resources
supporting the study of ancient Greek
mathematics.
 Teacher Resources: Browseable Lesson Plan Index
(MarcoPolo) - search on Mathematics/all - 3300+
resources listed from most recent.

For Students.
 Elementary Math Club - Grades 3 - 6 (UT Austin)
 Useful Online Resources for Students (Australian
Association of MathematicsTeachers)
 Students' Classroom (National Center for
Education Statistics)
 Australian CensusAtSchool: Student Area
(Australian Bureau of Statistics, 2006) - enables
students to take part in an Australia-wide data
collection and analysis project. Relates to the
Census of Population and Housing, to be held on
August 08, 2006).

Collections of Resources.
 Math (Sites forTeachers) - categories: Lesson
Plans; Ideas & Activities; Applications; Board
Games; Puzzles & Problems; Organizations.
 Teaching Resources for Mathematics
(Standards Site, Primary National Strategy) -
193 teaching resources.
 Years 1-10 Mathematics: Resource Links
(Queensland Studies Authority / Last reviewed
12.09.2005)

 Mathematics Sites (Australian Association of
MathematicsTeachers)
 Collections at the P.L Duffy Resource Centre,
Trinity College,Western Australia:
 Assignment and ProjectTopics in Mathematics
 Information and CommunicationTechnology: ICT
In Education
 MathematicsTeaching

 Virtual Manipulatives for MathTeachers (Virtual
Training Center, Lane Education Service District /
Last updated April 27, 2006)
 Math Center (EducationWorld)
 Integrating Math andTechnology (Manassas City
Public Schools).
 Illuminations (National Council ofTeachers of
Mathematics) - Activities, Lessons, Principles and
Standards, Links.

 From the EdNA Online database:
Mathematics AND Recently Added Resources -
Category Mathematics
 Mathematics and Mathematics Education
Resources (AdvancedTechnology Council in
Mathematics).
 One-stop Mathematics Page :The
Mathematics Department (Shambles)
 A Selection of MathematicsWeb Sites (Oundle
School, Peterborough, UK)

 verwijzingen - a Dutch language Webliography.
 Mathematics ( About, 2006) - see especially the
sidebar links.
 TechnoratiTag: math - blog Posts tagged ' math':
9,281 posts in all languages; 6,530 posts in
English.
 S.O.S. Mathematics - for people who need to
refresh their Maths.
 techXtra Learning andTeaching Resources - search
on 'mathematics'
 Useful Links (Association ofTeachers of
Mathematics)

 Links (Queensland Association of Mathematics
Teachers)
 BlueWeb'n Search Results for: Mathematics - 212
hits.
 Math: Education:Teaching Resources (dmoz Open
Directory Project) - lists 190 resources.
 Math EdTopics (Math Forum Internet
Mathematics Library, Drexel University). See also
a review of The Math Forum@ DrexelUniversity
inThe Scout Report (July 28, 2006).

 maths online - a gallery of multimedia learning
material for school and distant learning;
German version also available.
 Internet Places to Start! (DaveWilson /
Manchester Metropolitan University, 2004)
 Technology Resources for Math (Linda Foote /
Poway Unified School District, 2005)

 The Mathematical Sciences Digital Library
(Mathematical Association of America)
 Math Pathway (NSDL Middle School Portal)
 TeachEngineering Resources for K-12 (NSDL
Digital Library)
 NEEDS (National Engineering Education
Delivery System) - search on ' mathematics'
 Math Resources (Kent School District)

Toolbox.
 MathematicalToolkit, Release 2 (skool.co) -
designed to support the teaching and learning of
mathematics for UK pupils at Key Stage 3.
 Experience Math and Science with Gizmos
(ExploreLearning.com) - online simulations.
 Online Graphing Calculator (Jiho Kim, 2006)
 Graphing Calculator for Macintosh andWindows
(PacificTech)
 Wordsearch Applet - Numbers (Andrei Grigoriev)

Professional Reading.
 UsingTechnology to Enhance Mathematics
Instruction ( Wikibooks) - many ways to use
technology to enhance mathematics
instruction.
 Research Sampler (eds. Annie and John
Selden / Mathematical Association of
America, 2006) - brief expositions of research
on undergraduate mathematics education.
 Goals in Math Education (University of
Oregon)

 MathematicsTeachers' Learning about and
Incorporation of ICT into Classroom Practices
(Cosette Crisan / Proceedings of the British Society
for Research into Learning Mathematics , June
2004)
 Mathematics Subject Designs (Interactive
Education Project , University of Bristol) - ways to
use ICT to enhance numeracy and mathematics
learning.
 ICT Enhanced Mathematics Education in the
Framework of a Knowledge Manifold
 (M. Nilsson, A. Naeve / 2004) - 'presents the
Knowledge Manifold educational architecture and
a number of tools which enable the construction of
interactive mathematics learning environments'.

BOOKS.
 Technology-Supported Mathematics Learning
Environments (Sixty-seventhYearbook) (National
Council ofTeachers of Mathematics, 2005)
Hardcover: $100.00 ISBN: 0-87353-569-3
 - see also the Table of Contents, Preface, and direct
purchase alternative at the NCTM's Catalog site
 Exciting ICT in Maths (Alison Clark-Jeavons, Mary
Pardoe, and Katherine Baxter / Network Educational
Press, 2005)Paperback: $50.50 ISBN: 1855391910
 Teaching Mathematics Using ICT (Adrian Oldknow
and RonTaylor / Continuum International Publishing
Group, 2004)Paperback, with a CD-ROM: $39.95
ISBN: 0826470599

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