i k rana: technology and math education - what? why? how?

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- What? Why? How? NIME - NCR, November 21, 2011 Prof. Inder K. Rana Department of Mathematics IIT-Bombay, Mumbai-400076 (India) Email: [email protected] (Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 1 / 23

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Page 1: I K Rana: Technology and Math Education - What? Why? How?

technologyandmath education

- What? Why? How?NIME - NCR, November 21, 2011

Prof. Inder K. RanaDepartment of Mathematics

IIT-Bombay, Mumbai-400076 (India)

Email: [email protected](Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 1 / 23

Page 2: I K Rana: Technology and Math Education - What? Why? How?

Aims and objectives of math education?

Probable answers

To finish the syllabus by the end of school year.

Make sure that maximum number of students pass.

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 2 / 23

Page 3: I K Rana: Technology and Math Education - What? Why? How?

Aims and objectives of math education

Executive summary

The main goal of mathematics educationin schools is the mathematization of thechild’s thinking.

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 3 / 23

Page 4: I K Rana: Technology and Math Education - What? Why? How?

National Focus Group on math education, 2006

Vision

School education takes place in a situation where:

Children learn to enjoy mathematics.

Children learn important mathematics.

Mathematics is a part of children’s life experience which they talk about.

Children pose and solve meaningful problems.

Children use abstractions to perceive relationships and structures.

Children understand the basic structure of mathematics.

Teachers expect to engage every child in class.

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 4 / 23

Page 5: I K Rana: Technology and Math Education - What? Why? How?

National Focus Group on math education, 2006

Recommendations

Shifting the focus from achieving "narrow goals" to "higher goals".

Engaging every student with a sense of success, while at the same timeoffering conceptual challenges to the emerging mathematician.

Changing modes of assessment to examine student’s mathematizationabilities, rather than procedural knowledge.

Enriching teachers with a variety of mathematical resources.

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 5 / 23

Page 6: I K Rana: Technology and Math Education - What? Why? How?

...three years later

... National policy on ICT in school education, 2009

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 6 / 23

Page 7: I K Rana: Technology and Math Education - What? Why? How?

National policy on ICT in school education, 2009

Preamble

The initiative of ICT Policy in School Education is inspired by thetremendous potential of ICT for enhancing outreach and improvingquality of education.

Mission

Devise, catalyse, support and sustain ICT and ICT enabled activities andprocesses in order to improve access, quality and efficiency in theschool system.

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 7 / 23

Page 8: I K Rana: Technology and Math Education - What? Why? How?

what is technology / ICT

�� ��SLATE =⇒ SLIDERULE =⇒ SOFTWARE

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 8 / 23

Page 9: I K Rana: Technology and Math Education - What? Why? How?

what is ICT?

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 9 / 23

Page 10: I K Rana: Technology and Math Education - What? Why? How?

What is technology/ ICTs for education

Hardwares

Digital/technology enabled class rooms.

Hand held gadgets:Calculators, smart phones, ipod, ipad , Tablets, ...

Multimedia workstations.

Softwares

CAS: SAGE, Scilab, Rlab, MAXIMA, Maple, Mathematica, Mupad, Drive,- for computing,visualizations, modelling and simulations.

DGS: Geogebra, Wingeo, Geometer’s Sketchpad, Euclid , Cabri, and soon, - for geometry explorations and visualizations.

Course management and evaluation tools.

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 10 / 23

Page 11: I K Rana: Technology and Math Education - What? Why? How?

Why Technology / ICT?

What technology promises

Technology can help expand access to education:

Distance learning.

e-learning.

virtual class rooms.

Technology can help transform the learning environment to learnercentered.

Technology can provide valuable tool that can empower mathematicsstudents as well as mathematics instructors:

Tools for visualizations/ illustrationsTools to do tedious computations in less timeTools to recognize pattern in a problemTools to develop problem solving skillsTools for live feedback and interaction in the class room.

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 11 / 23

Page 12: I K Rana: Technology and Math Education - What? Why? How?

How technology / ICT in education

Caution / Suggestions

Learning does not take place in the technology.

Learning takes place in the interaction between motivated faculty andmotivated students.

Whenever possible, technology can be used to provide suchenvironments. SHOW

Tools for live feedback and interaction in the class room. SHOW

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 12 / 23

Page 13: I K Rana: Technology and Math Education - What? Why? How?

Technology / ICT in school education

Caution / Suggestions

Introducing ICT simply for ICTs’ sake will be of no use.It is essential to keep in mind that ICT use in schools will accomplishvery little if not integrated within a toolbox full of:

Supporting educational content.

Ongoing teacher training and support.

A context that nurtures evolving teaching and learning styles.

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 13 / 23

Page 14: I K Rana: Technology and Math Education - What? Why? How?

what is ICT for a facilitator?

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 14 / 23

Page 15: I K Rana: Technology and Math Education - What? Why? How?

what is ICT for a learner?

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 15 / 23

Page 16: I K Rana: Technology and Math Education - What? Why? How?

Why math

Math touching our lives

mathtouching

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 16 / 23

Page 17: I K Rana: Technology and Math Education - What? Why? How?

Discover math

Do you like Cricket!

crick2BACK Or More

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 17 / 23

Page 18: I K Rana: Technology and Math Education - What? Why? How?

Appetizer

BACK Or More

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 18 / 23

Page 19: I K Rana: Technology and Math Education - What? Why? How?

ICT in math education

Recipe

Explore / Experiment

Observe / Conjuncture

Convince / Prove

Extrapolate / Extend

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 19 / 23

Page 20: I K Rana: Technology and Math Education - What? Why? How?

Illustration

BACK

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 20 / 23

Page 21: I K Rana: Technology and Math Education - What? Why? How?

Technology for interaction

Classroom Presenter "Classroom Presenter" is a TabletPC-based interaction system thatsupports the sharing of digital ink onslides between instructors and students.

When used as a presentation tool,Classroom Presenter allows theintegration of digital ink and electronicalslides, making it possible to combinethe advantages of whiteboard style andslide based presentation.

The ability to link the instructor and student devices, and to sendinformation back and forth provides a mechanism for introducingactive learning into the classroom and creates additional feedbackchannels.

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 21 / 23

Page 22: I K Rana: Technology and Math Education - What? Why? How?

Technology for interaction

MyVision Basic provides five essential tools for teaching withcomputers.

MyVision Basic

teacher can supervise studentcomputer work,

share engaging on-screendemonstrations,

remotely assist students,

instantly get the attention of theirclass and control student Internetaccess.

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 22 / 23

Page 23: I K Rana: Technology and Math Education - What? Why? How?

Technology for interaction

TI Nspire CX Navigator systemTI-Nspire" CX Navigator"is a completely wirelessclassroom learning systemthat provides:

Live Presenter

Question Capability

Collaborative Activity

Document Transfer

Quick Poll Screen Capture

Portfolio and Auto-gradingBACK

(Prof. Inder K. Rana, I. I. T. Bombay) technology and math education 23 / 23