Ict Tools In Mathematics Instruction
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DESCRIPTIONA presentation made at All Nations University, Koforidua on 12/3/10 to mark Ghana\'s National Math Day
- 1. ICT TOOLS IN MATHEMATICS INSTRUCTION
BY MIRACULE DANIEL GAVOR
2. '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)
3. When we look at Trends in Mathematics Education (WWWTools for Education: February 21, 2005), it was mentioned in the Post Script that 'there are lots of interesting Webtools 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.
4. 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 Numeracy Week
5. 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 Technology Trends: July 10, 2006).
6. 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 example AmbjornNaeve's PPT presentation on Design Patterns in Mathematics Education (Royal Institute of Technology, Stockholm); in particular:
Slide 4: Structure of Today's Math Education System.
7. 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.
8. Expanding on the theme:
Technology Helps Ratchet Up Math Instruction (Corey Murray / eSchool News : February 13, 2006) - an American perspective. See also21st Century Teaching; Mapping the Connections between ICT Literacy Skills, Technology Tools, and the Learning Goals of Core Subject Areas.
9. (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 and Virtual Manipulatives.
10. 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 and Vice Versa (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
11. Curriculum and Instruction (CARET, a project of the International Society for Technology in Education) - how can technology be used to improve mathematics and problem solving skills? Cites research from a study of the PLATO learning system.
12. 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.
13. 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.
14. How Maths Can Be Great Fun (SoutikBiswas / 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.
15. COMPASS - a project promoting the improvement of secondary school mathematics learning outcomes, offering a choice from 5 proven curricula :
Mathematics: Modeling Our World 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.
16. 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 Using Technology - designed to replace most grade 9 - 12 mathematics courses.
17. Concerning Hardware.
On the Use of Handheld Technology 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 It Takes 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.
Using Technology to Enhance Math Learning (Math Forum @ Drexel: May 17, 2005) - questioning the focus on the use of calculators.
18. Why Do Teachers 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 and TI-83 (Texas Instruments / MathsNet.com)
Graphics Calculators and School Mathematics (Australian Association of Mathematics Teachers) - a very positive recommendation.
19. Some Useful Software.
A Taxonomy 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.
20. Pattern Block Program (JacoboBulaevsky) - explore patterns using shapes. Designed to complement No Matter What Shape Your 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.
21. 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'
Scientific Workplace 5.5 (MacKichan Software) - create, edit, and typeset mathematical and scientific text. At the same site see also companion products Scientific Word Version 5.5 and Scientific Notebook Version 5.5.
The Calculation Management Suite (Mathsoft) - also lists Math Resources .
22. 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 Software Tutoring Programs for K-12 - Australian Government endorsement, try before you buy.
Riverdeep Products & Offerings > Math - large range of K-12 products.
23. 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
24. Chartwell-Yorke'sAdvice for Teachers 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 10 Tips for Software Selection for Math Instruction (LD OnLine) may take some of the pain out of decisionmaking.
25. Lessons and Activities.
Mathematics Lessons that are Fun (Cynthia Lanius) - English / Spanish language options.
Go Figure! Math Challenge (MATHCOUNTS) - progressively harder questions.