teachers gifted presentation 2

7/23/2019 Teachers Gifted Presentation 2

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Thinklets and TI;Technology for Learningand Doing Mathematics

Martin van ReeuwijkFreudenthal Institute

Utrecht University!etherlands


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RM"technology

e#am$les

the future %


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Freudenthal Institute &FI'

Research andDevelopment ofMathematics Education

Research institute at

Utrecht University

About 30 fulltimepositionsactually working about0 sta! members


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(ore activities of the FI

Macro" and micro"didactic research# $urriculum development#

Assessment development% comparativeachievement studies &e'g' ()*A+#

Research on and development ofeducational technology (ICT)#

(rofessional development and teachereducation &bildung+#

,rgani-ation of and participation innational and international networks%conferences


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Features and Focus

(rimary% secondary% and vocationaleducation

national and internationalprojects

)ntegrating research% development and

teacher education activities

.orking for and with teachers/ ournals%conferences% courses% websites

(hilosophy1theory/Realistic Mathematics Education&RME+

Methodology/ Developmental Research

back


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The Dutch Math "d Microworld

student

teacher

math teachers

teacher training preservice

teacher training in service

research

curriculumdevelopment

e2amination board

ministry ofeducation

publishers

politicians

school inspectors

university

highervocational

back


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Realistic Mathematics "ducation

a short introduction


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*tart with a conte2t'

Realistic Mathematics "ducation in short


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reaking leads to fractions 4

4

24



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$hocolate pieces become model for fractions 4

2

2

2

+



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Rectangle model for operating with fractions 4

3

1



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$onte2ts% problem situations% concrete%realistic

Modelof%informal

%intuitive

Model for%pre"

formal%

5ertical

m

athemati-ation

6ori-ontal mathemati-ation

*olvingproblems7uided

reinvention

8ormal mathematics% abstract%bd

bcad

d

c

b

a +=+


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(haracteristics of RM"

*tarting in conte2ts uilding on preformal knowledge

Di!erent strategies and answers

97uided reinvention:

8rom ;model of< to model for


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Technology inMathematics "ducation

diferent kinds

diferent purposes


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Technology in Mathematics "ducation

Tools Models

ames

!or "ractice !or concept development

!or testing# assessment

$earning Environment


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Tools raphing# solving# calculating

raphing calculator

%""& (applications)#TI 'avigator (netork ocalculators)

Real data collection (sensors)(e*g* Easy+ata or realmeasurements)

Thinklets ,n-line e. .ased# user riendly Many variations possi.le


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raphing calculator %""& (applications)#

TI 'avigator (netork)

Real data collection (sensors)(e*g* Easy+ata)


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Models and ames Concept .uilding# insight#

didactical

Thinklets

(Electronic) $earning

Environment Registration# integration#

com.ination

TI Interactive(or Maple# )


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Mathematics as an

human activity;learning and doing %thinklets

uilding houses


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)hat are Thinklets small computer programs that run

over the internet &aka applets+

can make learning mathematicsmore fun% more sense making% andmore e>cient'

Easy% simple to use% user friendly

)nteractive% visual% dynamic 8it a mathematical topic

?ested in class and improved

Thinklets


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"asy small feed*ack

8rog *olvingE@uations

Thinklets


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Use of Thinklets *upporting instructional materials can be

used% on screen or paper &worksheets+

Used in various moment in the teaching"learning process/e2ploration% a tool% concept development&model+% practice% assessment% '''

Thinklets


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+ne or many Thinklets %

Algebra arrows

Thinklets


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,dd-on value of thinklets 8un and motivate students .ork at own level of thinking% possible to

address di!erences between students

5isual% interactive% dynamic 8ocus on concept and model% applet does

calculations

(romotes creativity and self esteem

(rovides a model students can fall back on 8eedback and practice are powerful

.ebbased/ Always and everywhere available

back

Thinklets


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a Future ofTechnology in

Mathematics "ducation

(actual) conditions

uture device


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$ontinuous development and research

Alternatives for &commercial+publishers paper with te2tbook series

are becoming available *tudents want to move faster than

teacher and te2tbook% generation gap

6ardware &)nternet connection+ is noproblem any more% always available

*till transition to )$?"integrated mathed is hard

Future of technology in mathematics education

The conditions


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The challenge %

6andheld% easy to use ,n"line% web based

?ool and model

Multi purpose &reference guide%

calculator% word processor% (DA% browser%

phone% music player% camera% 4+

8or fun &games+ and school &also fun+

&for TI (asio %'

is to develo$ a device that is.



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My tele$hone



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More a*out FI RM" Thinklets TI

www.thinklets.nl

www.fi.uu.nl

www.rekenweb.nl

www.wisweb.nl

education.ti.com


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teachers gifted presentation 2

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