SlideShare a Scribd company logo
1 of 20
Use of ICT for acquiring, practicing and assessing algebraic expertise Christian Bokhove [email_address] www.fi.uu.nl/~christianb Supervisors: Paul Drijvers and Jan van Maanen Dudoc 18-jan-2011
Refresh ,[object Object],[object Object],[object Object]
Algebraic expertise ,[object Object],[object Object],[object Object],[object Object]
Extension of Gestalt ,[object Object],[object Object],Bokhove, C., & Drijvers, P. (2010b). Symbol sense behavior in digital activities.  For the Learning of Mathematics ,  30 (3), 43-49. Gestalt view: pattern salience, local salience and strategic decision  
Design research (Tessmer) 1st cycle 2nd cycle 3rd cycle
Prelim cycle: criteria for tools ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Bokhove, C., & Drijvers, P. (2010). Digital tools for algebra education: criteria and evaluation.  International Journal of Computers for Mathematical Learning, 15(1), 45-62.  ( link )
1st cycle: 1-to-1s Qual. analysis (video, camtasia, atlas TI)  Symbol Sense Quality of tool Feedback 6 multihour think-aloud 1-to-1 sessions with  17/18 year olds I want to know what’s going on in their minds
2nd cycle ,[object Object],[object Object],[object Object]
Design choices ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Bokhove, C. (2010). Implementing feedback in a digital tool for symbol sense. .   International Journal for Technology in Mathematics Education .  17 (3)
Crises ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Formative scenarios
Results
Tentative conclusions ,[object Object],[object Object],[object Object]
3rd cycle ,[object Object],[object Object],[object Object],[object Object]
Data collection & analysis ,[object Object],[object Object],[object Object],[object Object],[object Object],Excel
 
Still to come ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Future? ,[object Object]
Discussion ,[object Object],[object Object],[object Object],[object Object]
Selected references ,[object Object],[object Object],[object Object],[object Object],[object Object]

More Related Content

Viewers also liked

Fostering creative mathematical thinking in electronic mathematics books (c-b...
Fostering creative mathematical thinking in electronic mathematics books (c-b...Fostering creative mathematical thinking in electronic mathematics books (c-b...
Fostering creative mathematical thinking in electronic mathematics books (c-b...MCSquaredProject
 
Presentación JORNADA ENERGÍA_14112013_Valencia
Presentación JORNADA ENERGÍA_14112013_ValenciaPresentación JORNADA ENERGÍA_14112013_Valencia
Presentación JORNADA ENERGÍA_14112013_ValenciaRedit
 
Co-designing electronic books: boundary objects for social creativity
Co-designing electronic books: boundary objects for social creativityCo-designing electronic books: boundary objects for social creativity
Co-designing electronic books: boundary objects for social creativityChristian Bokhove
 
Getal en Ruimte docentendag 10-4-2012
Getal en Ruimte docentendag 10-4-2012Getal en Ruimte docentendag 10-4-2012
Getal en Ruimte docentendag 10-4-2012Christian Bokhove
 
Designing creative electronic books for mathematical creativity
Designing creative electronic books for mathematical creativityDesigning creative electronic books for mathematical creativity
Designing creative electronic books for mathematical creativityChristian Bokhove
 

Viewers also liked (7)

Fostering creative mathematical thinking in electronic mathematics books (c-b...
Fostering creative mathematical thinking in electronic mathematics books (c-b...Fostering creative mathematical thinking in electronic mathematics books (c-b...
Fostering creative mathematical thinking in electronic mathematics books (c-b...
 
Presentación JORNADA ENERGÍA_14112013_Valencia
Presentación JORNADA ENERGÍA_14112013_ValenciaPresentación JORNADA ENERGÍA_14112013_Valencia
Presentación JORNADA ENERGÍA_14112013_Valencia
 
Nwd 010213 def
Nwd 010213 defNwd 010213 def
Nwd 010213 def
 
Co-designing electronic books: boundary objects for social creativity
Co-designing electronic books: boundary objects for social creativityCo-designing electronic books: boundary objects for social creativity
Co-designing electronic books: boundary objects for social creativity
 
Getal en Ruimte docentendag 10-4-2012
Getal en Ruimte docentendag 10-4-2012Getal en Ruimte docentendag 10-4-2012
Getal en Ruimte docentendag 10-4-2012
 
Designing creative electronic books for mathematical creativity
Designing creative electronic books for mathematical creativityDesigning creative electronic books for mathematical creativity
Designing creative electronic books for mathematical creativity
 
Mental Rotation Skills
Mental Rotation SkillsMental Rotation Skills
Mental Rotation Skills
 

Similar to Dudoc 160111 1

Use of ICT for acquiring, practicing and assessing algebraic expertise
 Use of ICT for acquiring, practicing and assessing algebraic expertise  Use of ICT for acquiring, practicing and assessing algebraic expertise
Use of ICT for acquiring, practicing and assessing algebraic expertise Christian Bokhove
 
Computational Social Science – what is it and what can(‘t) it do?
Computational Social Science – what is it and what can(‘t) it do?Computational Social Science – what is it and what can(‘t) it do?
Computational Social Science – what is it and what can(‘t) it do?Christian Bokhove
 
Isajahnke 2011-06-17-short - Creative Learning Cultures, educational innovati...
Isajahnke 2011-06-17-short - Creative Learning Cultures, educational innovati...Isajahnke 2011-06-17-short - Creative Learning Cultures, educational innovati...
Isajahnke 2011-06-17-short - Creative Learning Cultures, educational innovati...Isa Jahnke
 
Oliver and Gourlay
Oliver and GourlayOliver and Gourlay
Oliver and GourlayMoira Wright
 
Presentatie researchED Amsterdam
Presentatie researchED AmsterdamPresentatie researchED Amsterdam
Presentatie researchED AmsterdamChristian Bokhove
 
A learning scientist approach to modeling human cognition in individual and c...
A learning scientist approach to modeling human cognition in individual and c...A learning scientist approach to modeling human cognition in individual and c...
A learning scientist approach to modeling human cognition in individual and c...Margarida Romero
 
16. Computer Software In Statistics Education Student Views On The Impact Of...
16. Computer Software In Statistics Education  Student Views On The Impact Of...16. Computer Software In Statistics Education  Student Views On The Impact Of...
16. Computer Software In Statistics Education Student Views On The Impact Of...Cheryl Brown
 
Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AVA...
Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AVA...Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AVA...
Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AVA...EuroCAT CSCL
 
Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AV...
 Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AV... Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AV...
Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AV...Niki Lambropoulos PhD
 
How to redesign formal education supported by new technologies? Lunch Talks (...
How to redesign formal education supported by new technologies? Lunch Talks (...How to redesign formal education supported by new technologies? Lunch Talks (...
How to redesign formal education supported by new technologies? Lunch Talks (...Isa Jahnke
 
Spikol wmute v3
Spikol wmute v3Spikol wmute v3
Spikol wmute v3spikol
 
Second Life. A New Space for Teaching and Learning Entrepreneurship?
Second Life. A New Space for Teaching and Learning Entrepreneurship?Second Life. A New Space for Teaching and Learning Entrepreneurship?
Second Life. A New Space for Teaching and Learning Entrepreneurship?Patrycja Rudnicka
 
Week 5 Making Decisions
Week 5 Making DecisionsWeek 5 Making Decisions
Week 5 Making Decisionsanneleftwich
 
isajahnke ictml umea 2011-05-v1
isajahnke ictml umea 2011-05-v1isajahnke ictml umea 2011-05-v1
isajahnke ictml umea 2011-05-v1Isa Jahnke
 
ENCORE Workshop Webinar 26 February 2024
ENCORE Workshop Webinar 26 February 2024ENCORE Workshop Webinar 26 February 2024
ENCORE Workshop Webinar 26 February 2024EADTU
 
Methodological innovation for mathematics education research
Methodological innovation for mathematics education researchMethodological innovation for mathematics education research
Methodological innovation for mathematics education researchChristian Bokhove
 
TEL it to the People
TEL it to the PeopleTEL it to the People
TEL it to the PeopleBrock Craft
 
LDT Future of Learning 2010
LDT Future of Learning 2010LDT Future of Learning 2010
LDT Future of Learning 2010Life Unexamined
 
ticEDUCA2010 presentation (Andrews)
ticEDUCA2010 presentation (Andrews)ticEDUCA2010 presentation (Andrews)
ticEDUCA2010 presentation (Andrews)ticEDUCA2010
 
Paula Christophersen On Ict & Vels
Paula Christophersen On Ict & VelsPaula Christophersen On Ict & Vels
Paula Christophersen On Ict & VelsGregWhiley
 

Similar to Dudoc 160111 1 (20)

Use of ICT for acquiring, practicing and assessing algebraic expertise
 Use of ICT for acquiring, practicing and assessing algebraic expertise  Use of ICT for acquiring, practicing and assessing algebraic expertise
Use of ICT for acquiring, practicing and assessing algebraic expertise
 
Computational Social Science – what is it and what can(‘t) it do?
Computational Social Science – what is it and what can(‘t) it do?Computational Social Science – what is it and what can(‘t) it do?
Computational Social Science – what is it and what can(‘t) it do?
 
Isajahnke 2011-06-17-short - Creative Learning Cultures, educational innovati...
Isajahnke 2011-06-17-short - Creative Learning Cultures, educational innovati...Isajahnke 2011-06-17-short - Creative Learning Cultures, educational innovati...
Isajahnke 2011-06-17-short - Creative Learning Cultures, educational innovati...
 
Oliver and Gourlay
Oliver and GourlayOliver and Gourlay
Oliver and Gourlay
 
Presentatie researchED Amsterdam
Presentatie researchED AmsterdamPresentatie researchED Amsterdam
Presentatie researchED Amsterdam
 
A learning scientist approach to modeling human cognition in individual and c...
A learning scientist approach to modeling human cognition in individual and c...A learning scientist approach to modeling human cognition in individual and c...
A learning scientist approach to modeling human cognition in individual and c...
 
16. Computer Software In Statistics Education Student Views On The Impact Of...
16. Computer Software In Statistics Education  Student Views On The Impact Of...16. Computer Software In Statistics Education  Student Views On The Impact Of...
16. Computer Software In Statistics Education Student Views On The Impact Of...
 
Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AVA...
Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AVA...Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AVA...
Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AVA...
 
Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AV...
 Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AV... Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AV...
Tools and Evaluation Techniques to Support Social Awareness in CSCeL: The AV...
 
How to redesign formal education supported by new technologies? Lunch Talks (...
How to redesign formal education supported by new technologies? Lunch Talks (...How to redesign formal education supported by new technologies? Lunch Talks (...
How to redesign formal education supported by new technologies? Lunch Talks (...
 
Spikol wmute v3
Spikol wmute v3Spikol wmute v3
Spikol wmute v3
 
Second Life. A New Space for Teaching and Learning Entrepreneurship?
Second Life. A New Space for Teaching and Learning Entrepreneurship?Second Life. A New Space for Teaching and Learning Entrepreneurship?
Second Life. A New Space for Teaching and Learning Entrepreneurship?
 
Week 5 Making Decisions
Week 5 Making DecisionsWeek 5 Making Decisions
Week 5 Making Decisions
 
isajahnke ictml umea 2011-05-v1
isajahnke ictml umea 2011-05-v1isajahnke ictml umea 2011-05-v1
isajahnke ictml umea 2011-05-v1
 
ENCORE Workshop Webinar 26 February 2024
ENCORE Workshop Webinar 26 February 2024ENCORE Workshop Webinar 26 February 2024
ENCORE Workshop Webinar 26 February 2024
 
Methodological innovation for mathematics education research
Methodological innovation for mathematics education researchMethodological innovation for mathematics education research
Methodological innovation for mathematics education research
 
TEL it to the People
TEL it to the PeopleTEL it to the People
TEL it to the People
 
LDT Future of Learning 2010
LDT Future of Learning 2010LDT Future of Learning 2010
LDT Future of Learning 2010
 
ticEDUCA2010 presentation (Andrews)
ticEDUCA2010 presentation (Andrews)ticEDUCA2010 presentation (Andrews)
ticEDUCA2010 presentation (Andrews)
 
Paula Christophersen On Ict & Vels
Paula Christophersen On Ict & VelsPaula Christophersen On Ict & Vels
Paula Christophersen On Ict & Vels
 

More from Christian Bokhove

Can data from largescale assessments ever be useful For mathematics education?
Can data from largescale assessments ever be useful For mathematics education?Can data from largescale assessments ever be useful For mathematics education?
Can data from largescale assessments ever be useful For mathematics education?Christian Bokhove
 
Creating interactive digital books for the transition from secondary to under...
Creating interactive digital books for the transition from secondary to under...Creating interactive digital books for the transition from secondary to under...
Creating interactive digital books for the transition from secondary to under...Christian Bokhove
 
Research on school inspections: What do we know?
Research on school inspections: What do we know?Research on school inspections: What do we know?
Research on school inspections: What do we know?Christian Bokhove
 
Master mathematics teachers: What do Chinese primary schools look like?
Master mathematics teachers: What do Chinese primary schools look like?Master mathematics teachers: What do Chinese primary schools look like?
Master mathematics teachers: What do Chinese primary schools look like?Christian Bokhove
 
The role of non-cognitive factors in science achievement: an analysis of PISA...
The role of non-cognitive factors in science achievement: an analysis of PISA...The role of non-cognitive factors in science achievement: an analysis of PISA...
The role of non-cognitive factors in science achievement: an analysis of PISA...Christian Bokhove
 
Multilevel modelling of Chinese primary children’s metacognitive strategies i...
Multilevel modelling of Chinese primary children’s metacognitive strategies i...Multilevel modelling of Chinese primary children’s metacognitive strategies i...
Multilevel modelling of Chinese primary children’s metacognitive strategies i...Christian Bokhove
 
Help-seeking in an online maths environment: A sequence analysis of log files
Help-seeking in an online maths environment: A sequence analysis of log filesHelp-seeking in an online maths environment: A sequence analysis of log files
Help-seeking in an online maths environment: A sequence analysis of log filesChristian Bokhove
 
Learning loss and learning inequalities during the covid-19 pandemic: an anal...
Learning loss and learning inequalities during the covid-19 pandemic: an anal...Learning loss and learning inequalities during the covid-19 pandemic: an anal...
Learning loss and learning inequalities during the covid-19 pandemic: an anal...Christian Bokhove
 
The challenge of proof in the transition from A-level mathematics to university
The challenge of proof in the transition from A-level mathematics to universityThe challenge of proof in the transition from A-level mathematics to university
The challenge of proof in the transition from A-level mathematics to universityChristian Bokhove
 
How can we develop expansive, research-informed ITE ?
How can we develop expansive, research-informed ITE ?How can we develop expansive, research-informed ITE ?
How can we develop expansive, research-informed ITE ?Christian Bokhove
 
(On)waarheden en (on)bekende zaken uit onderzoek over reken-wiskundeonderwijs
(On)waarheden en (on)bekende zaken uit onderzoek over reken-wiskundeonderwijs(On)waarheden en (on)bekende zaken uit onderzoek over reken-wiskundeonderwijs
(On)waarheden en (on)bekende zaken uit onderzoek over reken-wiskundeonderwijsChristian Bokhove
 
Transparency in Data Analysis
Transparency in Data AnalysisTransparency in Data Analysis
Transparency in Data AnalysisChristian Bokhove
 
Proof by induction in Calculus: Investigating first-year students’ examinatio...
Proof by induction in Calculus: Investigating first-year students’ examinatio...Proof by induction in Calculus: Investigating first-year students’ examinatio...
Proof by induction in Calculus: Investigating first-year students’ examinatio...Christian Bokhove
 
Evidence informed: Waar is de Bijsluiter?
Evidence informed: Waar is de Bijsluiter?Evidence informed: Waar is de Bijsluiter?
Evidence informed: Waar is de Bijsluiter?Christian Bokhove
 
Roundtable slides RiTE Paderborn 24/9/2021
Roundtable slides RiTE Paderborn 24/9/2021Roundtable slides RiTE Paderborn 24/9/2021
Roundtable slides RiTE Paderborn 24/9/2021Christian Bokhove
 
Structural Topic Modelling of Ofsted Documents
Structural Topic Modelling of Ofsted DocumentsStructural Topic Modelling of Ofsted Documents
Structural Topic Modelling of Ofsted DocumentsChristian Bokhove
 
Learning loss and learning inequalities during the Covid-19 pandemic: an anal...
Learning loss and learning inequalities during the Covid-19 pandemic: an anal...Learning loss and learning inequalities during the Covid-19 pandemic: an anal...
Learning loss and learning inequalities during the Covid-19 pandemic: an anal...Christian Bokhove
 
USING MRQAP TO ANALYSE THE DEVELOPMENT OF MATHEMATICS PRE-SERVICE TRAINEES’ C...
USING MRQAP TO ANALYSE THE DEVELOPMENT OF MATHEMATICS PRE-SERVICE TRAINEES’ C...USING MRQAP TO ANALYSE THE DEVELOPMENT OF MATHEMATICS PRE-SERVICE TRAINEES’ C...
USING MRQAP TO ANALYSE THE DEVELOPMENT OF MATHEMATICS PRE-SERVICE TRAINEES’ C...Christian Bokhove
 

More from Christian Bokhove (20)

Can data from largescale assessments ever be useful For mathematics education?
Can data from largescale assessments ever be useful For mathematics education?Can data from largescale assessments ever be useful For mathematics education?
Can data from largescale assessments ever be useful For mathematics education?
 
Creating interactive digital books for the transition from secondary to under...
Creating interactive digital books for the transition from secondary to under...Creating interactive digital books for the transition from secondary to under...
Creating interactive digital books for the transition from secondary to under...
 
Research on school inspections: What do we know?
Research on school inspections: What do we know?Research on school inspections: What do we know?
Research on school inspections: What do we know?
 
Master mathematics teachers: What do Chinese primary schools look like?
Master mathematics teachers: What do Chinese primary schools look like?Master mathematics teachers: What do Chinese primary schools look like?
Master mathematics teachers: What do Chinese primary schools look like?
 
The role of non-cognitive factors in science achievement: an analysis of PISA...
The role of non-cognitive factors in science achievement: an analysis of PISA...The role of non-cognitive factors in science achievement: an analysis of PISA...
The role of non-cognitive factors in science achievement: an analysis of PISA...
 
Multilevel modelling of Chinese primary children’s metacognitive strategies i...
Multilevel modelling of Chinese primary children’s metacognitive strategies i...Multilevel modelling of Chinese primary children’s metacognitive strategies i...
Multilevel modelling of Chinese primary children’s metacognitive strategies i...
 
Cryptography
CryptographyCryptography
Cryptography
 
Help-seeking in an online maths environment: A sequence analysis of log files
Help-seeking in an online maths environment: A sequence analysis of log filesHelp-seeking in an online maths environment: A sequence analysis of log files
Help-seeking in an online maths environment: A sequence analysis of log files
 
Learning loss and learning inequalities during the covid-19 pandemic: an anal...
Learning loss and learning inequalities during the covid-19 pandemic: an anal...Learning loss and learning inequalities during the covid-19 pandemic: an anal...
Learning loss and learning inequalities during the covid-19 pandemic: an anal...
 
The challenge of proof in the transition from A-level mathematics to university
The challenge of proof in the transition from A-level mathematics to universityThe challenge of proof in the transition from A-level mathematics to university
The challenge of proof in the transition from A-level mathematics to university
 
How can we develop expansive, research-informed ITE ?
How can we develop expansive, research-informed ITE ?How can we develop expansive, research-informed ITE ?
How can we develop expansive, research-informed ITE ?
 
Discussant EARLI sig 27
Discussant EARLI sig 27Discussant EARLI sig 27
Discussant EARLI sig 27
 
(On)waarheden en (on)bekende zaken uit onderzoek over reken-wiskundeonderwijs
(On)waarheden en (on)bekende zaken uit onderzoek over reken-wiskundeonderwijs(On)waarheden en (on)bekende zaken uit onderzoek over reken-wiskundeonderwijs
(On)waarheden en (on)bekende zaken uit onderzoek over reken-wiskundeonderwijs
 
Transparency in Data Analysis
Transparency in Data AnalysisTransparency in Data Analysis
Transparency in Data Analysis
 
Proof by induction in Calculus: Investigating first-year students’ examinatio...
Proof by induction in Calculus: Investigating first-year students’ examinatio...Proof by induction in Calculus: Investigating first-year students’ examinatio...
Proof by induction in Calculus: Investigating first-year students’ examinatio...
 
Evidence informed: Waar is de Bijsluiter?
Evidence informed: Waar is de Bijsluiter?Evidence informed: Waar is de Bijsluiter?
Evidence informed: Waar is de Bijsluiter?
 
Roundtable slides RiTE Paderborn 24/9/2021
Roundtable slides RiTE Paderborn 24/9/2021Roundtable slides RiTE Paderborn 24/9/2021
Roundtable slides RiTE Paderborn 24/9/2021
 
Structural Topic Modelling of Ofsted Documents
Structural Topic Modelling of Ofsted DocumentsStructural Topic Modelling of Ofsted Documents
Structural Topic Modelling of Ofsted Documents
 
Learning loss and learning inequalities during the Covid-19 pandemic: an anal...
Learning loss and learning inequalities during the Covid-19 pandemic: an anal...Learning loss and learning inequalities during the Covid-19 pandemic: an anal...
Learning loss and learning inequalities during the Covid-19 pandemic: an anal...
 
USING MRQAP TO ANALYSE THE DEVELOPMENT OF MATHEMATICS PRE-SERVICE TRAINEES’ C...
USING MRQAP TO ANALYSE THE DEVELOPMENT OF MATHEMATICS PRE-SERVICE TRAINEES’ C...USING MRQAP TO ANALYSE THE DEVELOPMENT OF MATHEMATICS PRE-SERVICE TRAINEES’ C...
USING MRQAP TO ANALYSE THE DEVELOPMENT OF MATHEMATICS PRE-SERVICE TRAINEES’ C...
 

Dudoc 160111 1

  • 1. Use of ICT for acquiring, practicing and assessing algebraic expertise Christian Bokhove [email_address] www.fi.uu.nl/~christianb Supervisors: Paul Drijvers and Jan van Maanen Dudoc 18-jan-2011
  • 2.
  • 3.
  • 4.
  • 5. Design research (Tessmer) 1st cycle 2nd cycle 3rd cycle
  • 6.
  • 7. 1st cycle: 1-to-1s Qual. analysis (video, camtasia, atlas TI) Symbol Sense Quality of tool Feedback 6 multihour think-aloud 1-to-1 sessions with 17/18 year olds I want to know what’s going on in their minds
  • 8.
  • 9.
  • 10.
  • 13.
  • 14.
  • 15.
  • 16.  
  • 17.
  • 18.
  • 19.
  • 20.