University of Groningen
The effectiveness of hints during computer supported word problem solving
de Kock, Willem Daniel
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de Kock, W. D. (2016). The effectiveness of hints during computer supported word problem solving. Rijksuniversiteit Groningen.
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ACME. (2011). Mathematical Needs Mathematics in the workplace and in Higher Education. London.
Adams, D. M., McLaren, B. M., Durkin, K., Mayer, R. E., RittleJohnson, B., & Isotani, S. (2014). Using erroneous examples to improve mathematics learning with a webbased tutoring system. Computers in Human Behavior, 36, 401–411. doi:10.1016/j.chb.2014.03.053
Aleven, V., & Koedinger, K. R. (2000). Limitations of student control: Do students know when they need help? In G. Gauthier, C. Frasson, & K. VanLehn (Eds.), Proceedings of the 5th International Conference on Intelligent Tutoring Systems, ITS 2000 (pp. 292–303). Berlin: Springer Verlag. doi:10.1007/3 540451080_33
Aleven, V., Roll, I., McLaren, B. M., & Koedinger, K. R. (2016). Help helps, but only so much: Research on help seeking with intelligent tutoring systems. International Journal of Artificial Intelligence in Education. 119. doi: 10.1007/s4059301500891
Arends, R. I. (2004). Learning to teach. Dubuque, Iowa: McGrawHill.
Atkinson, R. K. (2002). Optimizing learning from examples using animated pedagogical agents. Journal of Educational Psychology, 94, 416–427. doi:10.1037/00220663.94.2.416.
Avouris, N., Dimitracopoulou, A., & Komis, V. (2002). On analysis of collaborative problemsolving: an objectoriented approach. Computers in Human Behavior, 19, 147–167.
Azevedo, R. (2007). Understanding the complex nature of selfregulatory processes in learning with computerbased learning environments: An introduction. Metacognition and Learning, 2, 57–65. doi:10.1007/s1140900790185 Baines, E., Blatchford, P., & Kutnick, P. (2003). Changes in grouping practices over
Baker, R. S., Corbett, A. T., & Koedinger, K. R. (2004). Detecting student misuse of intelligent tutoring systems. In J. C. Lester, R. M. Vicario, & F. Paraguaçu (Eds.), Proceedings of seventh international conference on intelligent tutoring systems, ITS 2004 (pp. 531–540). Berlin: Springer Verlag.
Baker, R. S., Walonoski, J., Heffernan, N., Roll, I., Corbett, A., & Koedinger, K. R. (2008). Why students engage in "gaming the system" behavior in interactive learning environments. Journal of Interactive Learning Research, 19 (2), 185–224. doi:10.1.1.297.2912
Bannert, M., Hildebrand, M., & Mengelkamp, C. (2009). Effects of a metacognitive support device in learning environments. Computers in Human Behavior, 25 (4), 829–835. doi:10.1016/ j.chb.2008.07.002.
Bannert, M., Sonnenberg, C., Mengelkamp, C., & Pieger, E. (2015). Short and long term effects of students’ selfdirected metacognitive prompts on navigation behavior and learning performance. Computers in Human Behavior, 52, 293306. doi: 10.1016/j.chb.2015.05.038
Barron, B. (2000). Achieving Coordination in Collaborative ProblemSolving Groups. Journal of Learning Sciences, 9 (4), 403–436.
Berthold, K., Nückles, M., & Renkl, A. (2007). Do learning protocols support learning strategies and outcomes? The role of cognitive and metacognitive prompts. Learning and Instruction, 17, 564–577.
Bollen, L., Gijlers, H., & Van Joolingen, W. (2012). Computersupported collaborative drawing in primary school education – Technical realization and empirical findings. In V. Herskovic, H. U. Hoppe, M. Jansen & J. Ziegler (Eds.), Collaboration and technology (pp. 1–16). Berlin Heidelberg: Springer.
Boonen, A.J.H., Van Wesel, F., Jolles, J. & Van der Schoot, M. (2014). The role of visual representation type, spatial ability and reading comprehension in word problem solving: An itemlevel analysis in primary school children. International Journal of Educational Research, 68, 15–26.
Briggs, R. O., De Vreede, G. J. , Nunamaker, J. F. Jr. , & Tobey, D. (2001). ThinkLets: Achieving Predictable, Repeatable Patterns of Group Interaction with Group Support Systems (GSS). Proceedings of the Hawaii International Conference on System Sciences, Los Alamitos, IEEE Computer Society Press.
Bruun, F. (2013). Elementary Teachers’ Perspectives of Mathematics Problem Solving Strategies. The Mathematics Educator. 23 (1), 45–59.
Bulu, S. T. & Pedersen, S. (2010). Scaffolding middle school students' content knowledge and illstructured problem solving in a problembased hypermedia learning environment. Educational Technology Research and Development, 58(5), 507–529.
Capraro, R. M., Capraro, M. M., & Rupley, W. H. (2012). Reading enhanced word problem solving: A theoretical model. European Journal of Psychology of Education, 27 (1) , 91 114. doi:10.1007/s10212 011 0068 3
Capuano, N., D’Aniello, G., Gaeta, A., & Miranda, S. (2015). A personality based adaptive approach for information systems. Computers in Human Behavior, 44, 156–165. doi:10.1016/j.chb.2014.10.058
Chang, K., Sung, Y., & Lin, S. (2006). Computerassisted learning for mathematical problem solving. Computers & Education, 46, 140–151. doi:10.1016/j.compedu.2004.08.002
Cheng, X., Li, Y., Sun, J., & Huang, J. (2015). Application of a novel collaboration engineering method for learning design: A case study. British Journal of Educational Technology, 47 (4), 803818.
Chung, K. K. H., & Tam, Y. H. (2005). Effects of cognitivebased instruction on mathematical problem solving by learners with mild intellectual disabilities. Journal of Intellectual and Developmental Disability, 30, 207–216. doi:10.1080/13668250500349409
CITO. (2002). RekenenWiskunde 2002. Opgavenboekje M7[Mathematics work book M7]. Arnhem, The Netherlands: Citogroep.
Baker, R. S., Corbett, A. T., & Koedinger, K. R. (2004). Detecting student misuse of intelligent tutoring systems. In J. C. Lester, R. M. Vicario, & F. Paraguaçu (Eds.), Proceedings of seventh international conference on intelligent tutoring systems, ITS 2004 (pp. 531–540). Berlin: Springer Verlag.
Baker, R. S., Walonoski, J., Heffernan, N., Roll, I., Corbett, A., & Koedinger, K. R. (2008). Why students engage in "gaming the system" behavior in interactive learning environments. Journal of Interactive Learning Research, 19 (2), 185–224. doi:10.1.1.297.2912
Bannert, M., Hildebrand, M., & Mengelkamp, C. (2009). Effects of a metacognitive support device in learning environments. Computers in Human Behavior, 25 (4), 829–835. doi:10.1016/ j.chb.2008.07.002.
Bannert, M., Sonnenberg, C., Mengelkamp, C., & Pieger, E. (2015). Short and long term effects of students’ selfdirected metacognitive prompts on navigation behavior and learning performance. Computers in Human Behavior, 52, 293306. doi: 10.1016/j.chb.2015.05.038
Barron, B. (2000). Achieving Coordination in Collaborative ProblemSolving Groups. Journal of Learning Sciences, 9 (4), 403–436.
Berthold, K., Nückles, M., & Renkl, A. (2007). Do learning protocols support learning strategies and outcomes? The role of cognitive and metacognitive prompts. Learning and Instruction, 17, 564–577.
Bollen, L., Gijlers, H., & Van Joolingen, W. (2012). Computersupported collaborative drawing in primary school education – Technical realization and empirical findings. In V. Herskovic, H. U. Hoppe, M. Jansen & J. Ziegler (Eds.), Collaboration and technology (pp. 1–16). Berlin Heidelberg: Springer.
Boonen, A.J.H., Van Wesel, F., Jolles, J. & Van der Schoot, M. (2014). The role of visual representation type, spatial ability and reading comprehension in word problem solving: An itemlevel analysis in primary school children. International Journal of Educational Research, 68, 15–26.
Briggs, R. O., De Vreede, G. J. , Nunamaker, J. F. Jr. , & Tobey, D. (2001). ThinkLets: Achieving Predictable, Repeatable Patterns of Group Interaction with Group Support Systems (GSS). Proceedings of the Hawaii International Conference on System Sciences, Los Alamitos, IEEE Computer Society Press.
Bruun, F. (2013). Elementary Teachers’ Perspectives of Mathematics Problem Solving Strategies. The Mathematics Educator. 23 (1), 45–59.
Bulu, S. T. & Pedersen, S. (2010). Scaffolding middle school students' content knowledge and illstructured problem solving in a problembased hypermedia learning environment. Educational Technology Research and Development, 58(5), 507–529.
Capraro, R. M., Capraro, M. M., & Rupley, W. H. (2012). Reading enhanced word problem solving: A theoretical model. European Journal of Psychology of Education, 27 (1) , 91 114. doi:10.1007/s10212 011 0068 3
Capuano, N., D’Aniello, G., Gaeta, A., & Miranda, S. (2015). A personality based adaptive approach for information systems. Computers in Human Behavior, 44, 156–165. doi:10.1016/j.chb.2014.10.058
Chang, K., Sung, Y., & Lin, S. (2006). Computerassisted learning for mathematical problem solving. Computers & Education, 46, 140–151. doi:10.1016/j.compedu.2004.08.002
Cheng, X., Li, Y., Sun, J., & Huang, J. (2015). Application of a novel collaboration engineering method for learning design: A case study. British Journal of Educational Technology, 47 (4), 803818.
Chung, K. K. H., & Tam, Y. H. (2005). Effects of cognitivebased instruction on mathematical problem solving by learners with mild intellectual disabilities. Journal of Intellectual and Developmental Disability, 30, 207–216. doi:10.1080/13668250500349409
CITO. (2002). RekenenWiskunde 2002. Opgavenboekje M7[Mathematics work book M7]. Arnhem, The Netherlands: Citogroep.
Clarebout, G., Elen, J., Johnson, W. L., & Shaw, E. (2002). Animated pedagogical agents: An opportunity to be grasped? Journal of Educational Multimedia and Hypermedia, 11, 267–286.
Clark, H., & Brennan, S. (1991). Grounding in communication. In L. B. Resnick, J. Levine, & S. D. Teasley (Eds.), Perspectives on socially shared cognition (pp. 127–149). Washington, DC: APA.
Clark, R. C., & Mayer, R. E. (2011). Elearning and the science of instruction. (3rd ed.). San Francisco: John Wiley & Sons, Inc.
Cohen, D., & Hill, H. (2000). Instructional policy and classroom performance: The mathematics reform in California. Teachers College Record, 102, 294–343. Cohen, J (1988). Statistical Power Analysis for the Behavioral Sciences (second
ed.). Lawrence Erlbaum Associates.
Cooper, B., & Harries, T. (2005). Making sense of realistic word problems: Portraying working class “failure” on a division with remainder problem. International Journal of Research & Method in Education, 28, 147–169 Corbalan, G., Kester, L., & Van Merriënboer, J. J. G. (2008). Selecting learning
tasks: Effects of adaptation and shared control on efficiency and task involvement. Contemporary Educational Psychology, 33, 733–756.
Corter, J. E. & Zahner, D. (2007). Use of external visual representations in probability problem solving. Statistics Education Research Journal, 6 (1), 2250.
Crippen, K. J., & Earl, B. L. (2007). The impact of Webbased worked examples and selfexplanation on performance, problem solving, and selfefficacy. Computers & Education, 49 (3), 809–821. doi:10.1016/j.compedu.2005.11.018
DarlingHammond, L., Wei, R. C., & Johnson, C. M. (2009). Teacher preparation and teacher learning: A changing policy landscape. In G. Sykes, B. L. Schneider, & D. N. Plank (Eds.), Handbook of education policy research (pp. 613–636). New York, NY: Routledge.
De Boer, H., Donker, A. S., & Van der Werf, M. P. C. (2014). Effects of the attributes of educational interventions on students’ academic performance: a meta analysis. Review of Educational Research, 84 (4), 509 545.
De Jong, T. (2005). The Guided Discovery Principle in Multimedia learning. In R. Mayer (Ed.), The Cambridge Handbook of Multimedia Learning (pp. 507– 523). New York, NY: Cambridge University Press.
De Kock, W. D., & Harskamp, E. G. (2014). Can Teachers in Primary Education Implement a Metacognitive Computer Programme for Word Problem Solving in their Mathematics Classes? Educational Research and Evaluation, 20 (3), 231–250. doi:10.1080/13803611.2014.901921
Demetriadis, S.N., Papadopoulos, P.M., Stamelos, J.G., & Fischer, F. (2008). The effect of scaffolding students’ contextgenerating cognitive activity in technologyenhanced casebased learning. Computers and Education, 51 (2), 939–954.
Desoete, A., Roeyers, H., & De Clercq, A. (2003). Can offline metacognition enhance mathematical problem solving? Journal of Educational Psychology, 95, 188–200.doi:10.1037/00220663.95.1.188
Devolder, A., Van Braak, J., & Tondeur, J. (2012). Supporting selfregulated learning in computerbased learning environments: Systematic review of effects of scaffolding in the domain of science education. Journal of Computer Assisted Learning, 28, 557–573.
De Vreede, G. J., Kolfschoten, G. L., & Briggs, R. O. (2006). ThinkLets: a collaboration engineering pattern language. International Journal of Computer Applications in Technology, 25 (2), 140154.
Dignath, C., & Büttner, G. (2008). Components of fostering selfregulated learning among students. A metaanalysis on intervention studies at primary and secondary school level. Metacognition and Learning, 3, 231– 264.doi:10.1007/s114090089029x
Dillenbourg, P., & Tchounikine, P. (2007). Flexibility in macro CSCL scripts. Journal of Computer Assisted Learning, 23 (1), 113.
Ding, N. (2009). Computersupported collaborative learning and gender (Doctoral dissertation). Groningen: University of Groningen.
Clarebout, G., Elen, J., Johnson, W. L., & Shaw, E. (2002). Animated pedagogical agents: An opportunity to be grasped? Journal of Educational Multimedia and Hypermedia, 11, 267–286.
Clark, H., & Brennan, S. (1991). Grounding in communication. In L. B. Resnick, J. Levine, & S. D. Teasley (Eds.), Perspectives on socially shared cognition (pp. 127–149). Washington, DC: APA.
Clark, R. C., & Mayer, R. E. (2011). Elearning and the science of instruction. (3rd ed.). San Francisco: John Wiley & Sons, Inc.
Cohen, D., & Hill, H. (2000). Instructional policy and classroom performance: The mathematics reform in California. Teachers College Record, 102, 294–343. Cohen, J (1988). Statistical Power Analysis for the Behavioral Sciences (second
ed.). Lawrence Erlbaum Associates.
Cooper, B., & Harries, T. (2005). Making sense of realistic word problems: Portraying working class “failure” on a division with remainder problem. International Journal of Research & Method in Education, 28, 147–169 Corbalan, G., Kester, L., & Van Merriënboer, J. J. G. (2008). Selecting learning
tasks: Effects of adaptation and shared control on efficiency and task involvement. Contemporary Educational Psychology, 33, 733–756.
Corter, J. E. & Zahner, D. (2007). Use of external visual representations in probability problem solving. Statistics Education Research Journal, 6 (1), 2250.
Crippen, K. J., & Earl, B. L. (2007). The impact of Webbased worked examples and selfexplanation on performance, problem solving, and selfefficacy. Computers & Education, 49 (3), 809–821. doi:10.1016/j.compedu.2005.11.018
DarlingHammond, L., Wei, R. C., & Johnson, C. M. (2009). Teacher preparation and teacher learning: A changing policy landscape. In G. Sykes, B. L. Schneider, & D. N. Plank (Eds.), Handbook of education policy research (pp. 613–636). New York, NY: Routledge.
De Boer, H., Donker, A. S., & Van der Werf, M. P. C. (2014). Effects of the attributes of educational interventions on students’ academic performance: a meta analysis. Review of Educational Research, 84 (4), 509 545.
De Jong, T. (2005). The Guided Discovery Principle in Multimedia learning. In R. Mayer (Ed.), The Cambridge Handbook of Multimedia Learning (pp. 507– 523). New York, NY: Cambridge University Press.
De Kock, W. D., & Harskamp, E. G. (2014). Can Teachers in Primary Education Implement a Metacognitive Computer Programme for Word Problem Solving in their Mathematics Classes? Educational Research and Evaluation, 20 (3), 231–250. doi:10.1080/13803611.2014.901921
Demetriadis, S.N., Papadopoulos, P.M., Stamelos, J.G., & Fischer, F. (2008). The effect of scaffolding students’ contextgenerating cognitive activity in technologyenhanced casebased learning. Computers and Education, 51 (2), 939–954.
Desoete, A., Roeyers, H., & De Clercq, A. (2003). Can offline metacognition enhance mathematical problem solving? Journal of Educational Psychology, 95, 188–200.doi:10.1037/00220663.95.1.188
Devolder, A., Van Braak, J., & Tondeur, J. (2012). Supporting selfregulated learning in computerbased learning environments: Systematic review of effects of scaffolding in the domain of science education. Journal of Computer Assisted Learning, 28, 557–573.
De Vreede, G. J., Kolfschoten, G. L., & Briggs, R. O. (2006). ThinkLets: a collaboration engineering pattern language. International Journal of Computer Applications in Technology, 25 (2), 140154.
Dignath, C., & Büttner, G. (2008). Components of fostering selfregulated learning among students. A metaanalysis on intervention studies at primary and secondary school level. Metacognition and Learning, 3, 231– 264.doi:10.1007/s114090089029x
Dillenbourg, P., & Tchounikine, P. (2007). Flexibility in macro CSCL scripts. Journal of Computer Assisted Learning, 23 (1), 113.
Ding, N. (2009). Computersupported collaborative learning and gender (Doctoral dissertation). Groningen: University of Groningen.
Donker, A. S., De Boer, H., Kostons, D., DignathVan Ewijk, C. C., & Van der Werf, M. P. (2014). Effectiveness of learning strategy instruction on academic performance: a metaanalysis. Educational Research Review, 11, 1–26. Dreyfus, T. & Eisenberg, T. (1996). On different factes of mathematical thinking. in
R. Sternberg & BenZeev (Eds). The Nature of Mathematical Thinking. Hillsdale, NY: Lawrence Erlbaum Associates.
Dufresne, R. J. & Gerace, W. J. & Leonard, W. J. (1997). Solving physics problems with multiple representations. The Physics Teacher, 35 (5), 270275.
Edens, K. & Potter, E. (2008). How Students "Unpack" the Structure of a Word Problem: Graphic Representations and Problem Solving. Science and School Mathematics Journal, 108 (5), 184–193.
Efklides, A. (2006). Metacognition and affect: What can metacognitive experiences tell us about the learning process? Educational Research Review, 1, 314. Erkens, G., Kanselaar, G., Prangsma, M., & Jaspers, J. (2003). Computer support
for collaborative and argumentative writing. In E. de Corte (Ed.), Powerful learning environments (pp. 159–177). Amsterdam: Pergamon.
Fischer, F., & Mandl, H. (2002). Facilitating knowledge convergence in videoconferencing environments: The role of external representation tools. Paper presented at the Computer Support for Collaborative Learning: Foundations for a CSCL Community Conference, Boulder, CO., University of Munrich, Germany
Foshay, R., & Kirkley, J. (2003). Principles for teaching problem solving (Technical Paper No. 4). Retrieved from PLATO Learning website:http://www.learningace.com/doc/2440565/e094c08dc4a564128df 491521b5d4ef8/2003_foshay_platolearninginc_techpaper4_principles forteachingproblemsolving
Fuchs, L. S., Fuchs, D., Stuebing, K., Fletcher, J. M., Hamlett, C. L., & Lambert, W. (2008). Problem solving and computational skill: Are they shared or distinct aspects of mathematical cognition? Journal of Educational Psychology, 100, 30–47. doi:10.1037/00220663.100.1.30
Fuchs, L. S., Powell, S. R., Seethaler, P. M., Cirino, P. T., Fletcher, J. M., Fuchs, D., & Hamlett, C. L. (2010a). The effects of strategic counting instruction, with and without deliberate practice, on number combination skill among students with mathematics difficulties. Learning and Individual Differences, 20, 89–100. doi:10.1016/j.lindif.2009.09.003
Fuchs, L. S., Powell, S. R., Seethaler, P. M., Cirino, P. T., Fletcher, J. M., Fuchs, D.,…Zumeta, R. O. (2009). Remediating number combination and word problem deficits among students with mathematics difficulties: A randomized control trial. Journal of Educational Psychology, 101, 561–576. doi:10.1037/a0014701
Fuchs, L. S., Zumeta, R. O., Schumacher, R. F., Powell, S. R., Seethaler, P. M., Hamlett, C. L., & Fuchs, D. (2010b). The effects of schemabroadening instruction on second graders’ wordproblem performance and their ability to represent word problems with algebraic equations: A randomized control study. The Elementary School Journal, 110, 440–463. doi:10.1086/651191 Ginns, P. (2005). Metaanalysis of the modality effect. Learning and Instruction,
15, 313–331. doi:10.1016/j.learninstruc.2005.07.001.
Ginns, P., Martin, A., & Marsh, H. (2013). Designing instructional text in a conversational style: a metaanalysis. Educational Psychology Review, 25 (4), 1–28. doi:10.1007/s1064801392280.
Ginsburg, H. P. (1983). The Development of Mathematical Thinking. Orlando (FL): Academic Press, Inc.
Goos, M. (2002). Understanding metacognitive failure. Journal of Mathematical Behavior, 21, 283–302.
Gräsel, C., Fischer, F., & Mandl, H. (2000). The use of additional information in problemoriented learning environments. Learning Environment Research, 3, 287–325. doi:10.1023/A:1011421732004.
Groff, J. & Mouza, C. (2008). A framework for addressing challenges to classroom technology use. AACE Journal, 16, 2146.
Donker, A. S., De Boer, H., Kostons, D., DignathVan Ewijk, C. C., & Van der Werf, M. P. (2014). Effectiveness of learning strategy instruction on academic performance: a metaanalysis. Educational Research Review, 11, 1–26. Dreyfus, T. & Eisenberg, T. (1996). On different factes of mathematical thinking. in
R. Sternberg & BenZeev (Eds). The Nature of Mathematical Thinking. Hillsdale, NY: Lawrence Erlbaum Associates.
Dufresne, R. J. & Gerace, W. J. & Leonard, W. J. (1997). Solving physics problems with multiple representations. The Physics Teacher, 35 (5), 270275.
Edens, K. & Potter, E. (2008). How Students "Unpack" the Structure of a Word Problem: Graphic Representations and Problem Solving. Science and School Mathematics Journal, 108 (5), 184–193.
Efklides, A. (2006). Metacognition and affect: What can metacognitive experiences tell us about the learning process? Educational Research Review, 1, 314. Erkens, G., Kanselaar, G., Prangsma, M., & Jaspers, J. (2003). Computer support
for collaborative and argumentative writing. In E. de Corte (Ed.), Powerful learning environments (pp. 159–177). Amsterdam: Pergamon.
Fischer, F., & Mandl, H. (2002). Facilitating knowledge convergence in videoconferencing environments: The role of external representation tools. Paper presented at the Computer Support for Collaborative Learning: Foundations for a CSCL Community Conference, Boulder, CO., University of Munrich, Germany
Foshay, R., & Kirkley, J. (2003). Principles for teaching problem solving (Technical Paper No. 4). Retrieved from PLATO Learning website:http://www.learningace.com/doc/2440565/e094c08dc4a564128df 491521b5d4ef8/2003_foshay_platolearninginc_techpaper4_principles forteachingproblemsolving
Fuchs, L. S., Fuchs, D., Stuebing, K., Fletcher, J. M., Hamlett, C. L., & Lambert, W. (2008). Problem solving and computational skill: Are they shared or distinct aspects of mathematical cognition? Journal of Educational Psychology, 100, 30–47. doi:10.1037/00220663.100.1.30
Fuchs, L. S., Powell, S. R., Seethaler, P. M., Cirino, P. T., Fletcher, J. M., Fuchs, D., & Hamlett, C. L. (2010a). The effects of strategic counting instruction, with and without deliberate practice, on number combination skill among students with mathematics difficulties. Learning and Individual Differences, 20, 89–100. doi:10.1016/j.lindif.2009.09.003
Fuchs, L. S., Powell, S. R., Seethaler, P. M., Cirino, P. T., Fletcher, J. M., Fuchs, D.,…Zumeta, R. O. (2009). Remediating number combination and word problem deficits among students with mathematics difficulties: A randomized control trial. Journal of Educational Psychology, 101, 561–576. doi:10.1037/a0014701
Fuchs, L. S., Zumeta, R. O., Schumacher, R. F., Powell, S. R., Seethaler, P. M., Hamlett, C. L., & Fuchs, D. (2010b). The effects of schemabroadening instruction on second graders’ wordproblem performance and their ability to represent word problems with algebraic equations: A randomized control study. The Elementary School Journal, 110, 440–463. doi:10.1086/651191 Ginns, P. (2005). Metaanalysis of the modality effect. Learning and Instruction,
15, 313–331. doi:10.1016/j.learninstruc.2005.07.001.
Ginns, P., Martin, A., & Marsh, H. (2013). Designing instructional text in a conversational style: a metaanalysis. Educational Psychology Review, 25 (4), 1–28. doi:10.1007/s1064801392280.
Ginsburg, H. P. (1983). The Development of Mathematical Thinking. Orlando (FL): Academic Press, Inc.
Goos, M. (2002). Understanding metacognitive failure. Journal of Mathematical Behavior, 21, 283–302.
Gräsel, C., Fischer, F., & Mandl, H. (2000). The use of additional information in problemoriented learning environments. Learning Environment Research, 3, 287–325. doi:10.1023/A:1011421732004.
Groff, J. & Mouza, C. (2008). A framework for addressing challenges to classroom technology use. AACE Journal, 16, 2146.
Gutwin, C., & Greenberg, S. (2004) The Importance of Awareness for Team Cognition in Distributed Collaboration. In E. Salas and S. M. Fiore (Editors) Team Cognition: Understanding the Factors that Drive Process and Performance (pp. 177201), Washington: APA Press.
Harskamp, E. G., & Ding, N. (2006). Structured Collaboration versus Individual Learning in Solving Physics Problems. International Journal of Science Education, 28 (14), 1669–1688.
Harskamp, E. G., Mayer, R. E., & Suhre, C. (2007). Does the modality principle for multimedia learning apply to science classrooms? Learning and Instruction, 17 (5), 465–477. doi:10.1016/j.learninstruc.2007.09.010.
Heidig, S., & Clarebout, G. (2011). Do pedagogical agents make a difference to student motivation and learning? Educational Research Review, 6, 27–54. doi:10.1016/j.edurev.2010.07.004.
Hegarty, M & Kozhevnikov, M. (1999). Types of visual–spatial representations and mathematical problem solving. Journal of Educational Psychology, 91 (4), 684–689. doi:10.1037/00220663.91.4.684
Hegarty, M., Mayer, R. E., & Monk, C. A. (1995). Comprehension of
arithmetic word problems: A comparison of successful and
unsuccessful problem solvers. Journal of Educational Psychology,
87, 1832.
Hill, J. R. & Hannafin, M. J. (2001). Teaching and learning in digital environments: the resurgence of resourcebased learning. Educational Technology Research and Development, 49 (3), 37–52.
HmeloSilver, C. E., Chinn, C.A., Chan, C. K. & O’Donnell, A. (2013). The International Handbook of Collaborative Learning. Routledge, New York. Hodgen, J., & Marks, R. (2013). The Employment Equation: Why our young
people need more maths for today’s jobs. London.
Hohn, R. L., & Frey, B. (2002). Heuristic training and performance in elementary mathematical problem solving. The Journal of Educational Research, 95, 374–380. doi:10.1080/00220670209596612
Hurme, T. R., & Järvelä, S. (2005). Student’s activity in computersupported collaborative problem solving in mathematics. International Journal of Computers for Mathematical Learning, 10, 49–73. doi: 10.1007/s10758005 45793
Inspectie van het Onderwijs. (2008). Basisvaardigheden rekenenwiskunde in het basisonderwijs [Basic math skills in elementary education]. Utrecht, The Netherlands: Author.
Jacobs, V. R., Franke, M. L., Carpenter, T. P., Levi, L., & Battey, D. (2007). Professional development focused on children’s algebraic reasoning in elementary schools. Journal for Research in Mathematics Education , 38 (3), 258288.
Jacobse, A. E. (2012). Can we improve children’s thinking? (Doctoral dissertation). Groningen, The Netherlands: University of Groningen.
Jacobse, A. E., & Harskamp, E. G. (2009). Studentcontrolled metacognitive training for solving word problems in primary school mathematics. Educational Research and Evaluation, 15, 447–463. doi:10.1080/13803610903444519
Janssen, J. (2014). Opening the black box of collaborative learning: A meta analysis investigating the antecedents and consequences of collaborative interaction. Report no. 41111632 commissioned by NWOPROO and NRO. University of Utrecht, Utrecht (2014)
Janssen, J., Erkens, G., & Kirschner, P. A. (2011). Group awareness tools: It’s what you do with it that matters. Computers in Human Behavior, 27, 1046–1058. doi:10.1016/j.chb.2010.06.002
Gutwin, C., & Greenberg, S. (2004) The Importance of Awareness for Team Cognition in Distributed Collaboration. In E. Salas and S. M. Fiore (Editors) Team Cognition: Understanding the Factors that Drive Process and Performance (pp. 177201), Washington: APA Press.
Harskamp, E. G., & Ding, N. (2006). Structured Collaboration versus Individual Learning in Solving Physics Problems. International Journal of Science Education, 28 (14), 1669–1688.
Harskamp, E. G., Mayer, R. E., & Suhre, C. (2007). Does the modality principle for multimedia learning apply to science classrooms? Learning and Instruction, 17 (5), 465–477. doi:10.1016/j.learninstruc.2007.09.010.
Heidig, S., & Clarebout, G. (2011). Do pedagogical agents make a difference to student motivation and learning? Educational Research Review, 6, 27–54. doi:10.1016/j.edurev.2010.07.004.
Hegarty, M & Kozhevnikov, M. (1999). Types of visual–spatial representations and mathematical problem solving. Journal of Educational Psychology, 91 (4), 684–689. doi:10.1037/00220663.91.4.684
Hegarty, M., Mayer, R. E., & Monk, C. A. (1995). Comprehension of
arithmetic word problems: A comparison of successful and
unsuccessful problem solvers. Journal of Educational Psychology,
87, 1832.
Hill, J. R. & Hannafin, M. J. (2001). Teaching and learning in digital environments: the resurgence of resourcebased learning. Educational Technology Research and Development, 49 (3), 37–52.
HmeloSilver, C. E., Chinn, C.A., Chan, C. K. & O’Donnell, A. (2013). The International Handbook of Collaborative Learning. Routledge, New York. Hodgen, J., & Marks, R. (2013). The Employment Equation: Why our young
people need more maths for today’s jobs. London.
Hohn, R. L., & Frey, B. (2002). Heuristic training and performance in elementary mathematical problem solving. The Journal of Educational Research, 95, 374–380. doi:10.1080/00220670209596612
Hurme, T. R., & Järvelä, S. (2005). Student’s activity in computersupported collaborative problem solving in mathematics. International Journal of Computers for Mathematical Learning, 10, 49–73. doi: 10.1007/s10758005 45793
Inspectie van het Onderwijs. (2008). Basisvaardigheden rekenenwiskunde in het basisonderwijs [Basic math skills in elementary education]. Utrecht, The Netherlands: Author.
Jacobs, V. R., Franke, M. L., Carpenter, T. P., Levi, L., & Battey, D. (2007). Professional development focused on children’s algebraic reasoning in elementary schools. Journal for Research in Mathematics Education , 38 (3), 258288.
Jacobse, A. E. (2012). Can we improve children’s thinking? (Doctoral dissertation). Groningen, The Netherlands: University of Groningen.
Jacobse, A. E., & Harskamp, E. G. (2009). Studentcontrolled metacognitive training for solving word problems in primary school mathematics. Educational Research and Evaluation, 15, 447–463. doi:10.1080/13803610903444519
Janssen, J. (2014). Opening the black box of collaborative learning: A meta analysis investigating the antecedents and consequences of collaborative interaction. Report no. 41111632 commissioned by NWOPROO and NRO. University of Utrecht, Utrecht (2014)
Janssen, J., Erkens, G., & Kirschner, P. A. (2011). Group awareness tools: It’s what you do with it that matters. Computers in Human Behavior, 27, 1046–1058. doi:10.1016/j.chb.2010.06.002
Jitendra, A. K., PetersonBrown, S., Lein, A., Zaslofsky, A., Kunkel, A., Jung, PG., & Egan, A. (2015). Teaching mathematical word problem solving: The quality of evidence for strategy instruction priming the problem structure. Journal of Learning Disabilities, 48 (1), 51–72.
Jitendra, A. K., Rodriguez, M., Kanive, R. G., Huang, JP., Church, C., Corroy, K. C., & Zaslofsky, A. F. (2013). The impact of smallgroup tutoring interventions on the mathematical problem solving and achievement of third grade students with mathematics difficulties. Learning Disability Quarterly, 36, 21–35.
Jitendra, A. K., Star, J., Starosta, K., Leh, J., Sood, S., Caskie, G., & Mack, T. (2009). Improving students’ learning of ratio and proportion problem solving: The role of schemabased instruction. Contemporary Educational Psychology, 34 (3), 250–264.
Johnson, D. W., & Johnson, R. T. (1999). Making cooperative learning work. Theory into Practice, 38 (2), 67–73.
Johnson, D. W. & Johnson R. T. (2009). An Educational Psychology Success Story: Social Interdependence Theory and Cooperative Learning. Educational Researcher, 38, 365 – 379.
Jonassen, D. H. (2000). Toward a design theory of problem solving. Educational Technology Research and Development, 48 (4), 6385.
Jonassen, D. H. (2003). Using cognitive tools to represent problems. Journal of Research on Technology in Education, 35 (3), 362381.
Jonassen, D. H. (2010). Learning to solve problems: A handbook. New York: Routledge.
Kirschner, F., Paas, F., & Kirschner, P. A. (2009). A cognitive load approach to collaborative learning: United brains for complex tasks. Educational Psychological Review, 21, 31–42. doi:10.1007/s1064800890952
Koedinger, K. R., & Aleven, V. (2007). Exploring the assistance dilemma in experiments with cognitive tutors. Educational Psychology Review, 19, 239– 264. doi:10.1007/s1064800790490.
Koedinger, K. R., & Nathan, M. J. (2004). The real story behind story problems: Effects of representations on quantitative reasoning. Journal of the Learning Sciences, 13, 129–164.
Kolfschoten, G. L., Vreede, G. J. de, Briggs, R. O., & Sol, H. G. (2010). Collaboration ‘Engineerability’. Group Decision & Negotiation, 19 (3), 301 312.
Kollar I., Fischer F., & Hesse F. W. (2006). Collaboration scripts—A conceptual analysis. Educational Psychology Review, 18, 159–185. doi:10.1007/s10648 00690072.
Kollar, I., Ufer, S., Reichersdorfer, E., Vogel, F., Fischer, F., & Reiss, K. (2014). Effects of Collaboration Scripts and Heuristic Worked Examples on the Acquisition of Mathematical Argumentation Skills of Teacher Students with Different Levels of Prior Achievement. Learning and Instruction, 32, 2236. Kramarski, B., & Friedman, S. (2014). Solicited versus Unsolicited Metacognitive
Prompts for Fostering Mathematical ProblemSolving Using Multimedia. Journal of Educational Computing Research, 50 (3), 285–314.
Kramarski, B., & Gutman, M. (2006). How can selfregulated learning be supported in mathematical Elearning environments? Journal of Computer Assisted Learning, 22, 24–33. doi:10.1111/j.13652729.2006.00157.x
Kroesbergen, E. H., & Van Luit, J. E. H. (2002). Teaching multiplication to low math performers: Guided versus structured instruction. Instructional Science, 30, 361–378. doi:10.1023/A:1019880913714
Ku, H., Harter, C., Liu, P., Thompson, L., & Cheng, Y. (2007). The effects of individually personalized computerbased instructional program on solving mathematics problems. Computers in Human Behavior, 23 (3), 1195–1210. Kyndt, E., Raes, E., Lismont, B., Timmers, F., Cascallar, E., & Dochy, F. (2013). A
metaanalysis of the effects of facetoface cooperative learning. Do recent studies falsify or verify earlier findings? Educational Research Review, 10(0), 133149. doi:10.1016/j.edurev.2013.02.002
Jitendra, A. K., PetersonBrown, S., Lein, A., Zaslofsky, A., Kunkel, A., Jung, PG., & Egan, A. (2015). Teaching mathematical word problem solving: The quality of evidence for strategy instruction priming the problem structure. Journal of Learning Disabilities, 48 (1), 51–72.
Jitendra, A. K., Rodriguez, M., Kanive, R. G., Huang, JP., Church, C., Corroy, K. C., & Zaslofsky, A. F. (2013). The impact of smallgroup tutoring interventions on the mathematical problem solving and achievement of third grade students with mathematics difficulties. Learning Disability Quarterly, 36, 21–35.
Jitendra, A. K., Star, J., Starosta, K., Leh, J., Sood, S., Caskie, G., & Mack, T. (2009). Improving students’ learning of ratio and proportion problem solving: The role of schemabased instruction. Contemporary Educational Psychology, 34 (3), 250–264.
Johnson, D. W., & Johnson, R. T. (1999). Making cooperative learning work. Theory into Practice, 38 (2), 67–73.
Johnson, D. W. & Johnson R. T. (2009). An Educational Psychology Success Story: Social Interdependence Theory and Cooperative Learning. Educational Researcher, 38, 365 – 379.
Jonassen, D. H. (2000). Toward a design theory of problem solving. Educational Technology Research and Development, 48 (4), 6385.
Jonassen, D. H. (2003). Using cognitive tools to represent problems. Journal of Research on Technology in Education, 35 (3), 362381.
Jonassen, D. H. (2010). Learning to solve problems: A handbook. New York: Routledge.
Kirschner, F., Paas, F., & Kirschner, P. A. (2009). A cognitive load approach to collaborative learning: United brains for complex tasks. Educational Psychological Review, 21, 31–42. doi:10.1007/s1064800890952
Koedinger, K. R., & Aleven, V. (2007). Exploring the assistance dilemma in experiments with cognitive tutors. Educational Psychology Review, 19, 239– 264. doi:10.1007/s1064800790490.
Koedinger, K. R., & Nathan, M. J. (2004). The real story behind story problems: Effects of representations on quantitative reasoning. Journal of the Learning Sciences, 13, 129–164.
Kolfschoten, G. L., Vreede, G. J. de, Briggs, R. O., & Sol, H. G. (2010). Collaboration ‘Engineerability’. Group Decision & Negotiation, 19 (3), 301 312.
Kollar I., Fischer F., & Hesse F. W. (2006). Collaboration scripts—A conceptual analysis. Educational Psychology Review, 18, 159–185. doi:10.1007/s10648 00690072.
Kollar, I., Ufer, S., Reichersdorfer, E., Vogel, F., Fischer, F., & Reiss, K. (2014). Effects of Collaboration Scripts and Heuristic Worked Examples on the Acquisition of Mathematical Argumentation Skills of Teacher Students with Different Levels of Prior Achievement. Learning and Instruction, 32, 2236. Kramarski, B., & Friedman, S. (2014). Solicited versus Unsolicited Metacognitive
Prompts for Fostering Mathematical ProblemSolving Using Multimedia. Journal of Educational Computing Research, 50 (3), 285–314.
Kramarski, B., & Gutman, M. (2006). How can selfregulated learning be supported in mathematical Elearning environments? Journal of Computer Assisted Learning, 22, 24–33. doi:10.1111/j.13652729.2006.00157.x
Kroesbergen, E. H., & Van Luit, J. E. H. (2002). Teaching multiplication to low math performers: Guided versus structured instruction. Instructional Science, 30, 361–378. doi:10.1023/A:1019880913714
Ku, H., Harter, C., Liu, P., Thompson, L., & Cheng, Y. (2007). The effects of individually personalized computerbased instructional program on solving mathematics problems. Computers in Human Behavior, 23 (3), 1195–1210. Kyndt, E., Raes, E., Lismont, B., Timmers, F., Cascallar, E., & Dochy, F. (2013). A
metaanalysis of the effects of facetoface cooperative learning. Do recent studies falsify or verify earlier findings? Educational Research Review, 10(0), 133149. doi:10.1016/j.edurev.2013.02.002
Lee, H., Lim, K., & Grabowski, B. L. (2010). Improving selfregulation, learning strategy use, and achievement with metacognitive feedback. Educational Technology Research and Development, 58 (6), 629–648.
Lesh, R., & Doerr, H. (2000). Symbolizing, communicating and mathematizing: Key components of models and modeling. In P. Cobb, E. Yackel, & K. McClain (Eds.), Symbolizing and communicating in mathematics classrooms (pp. 361–383). Mahwah, NJ: Lawrence Erlbaum.
Li, Q., & Ma, X. (2010). A metaanalysis of the effects of computer technology on school students’ mathematics learning. Educational Psychology Review, 22, 215–243. doi:10.1007/s1064801091258
Lipponen, L., Rahikainen, M., Lallimo, J., & Hakkarainen, K. (2001). Analyzing patterns of participation and discourse in elementary students’ online science discussion. In P. Dillenbourg, A. Eurelings., & K. Hakkarainen (Eds.), European Perspectives on ComputerSupported Collaborative Learning. Proceedings of the First European Conference on CSCL (pp. 421428). Maastricht, the Netherlands: Maastricht McLuhan Institute.
Liu, M., Bera, S., Corliss, S. B., Svinicki, M. D., & Beth, A. D. (2004). Understanding the Connection Between Cognitive Tool Use and Cognitive Processes as used by Sixth Graders in a ProblemBased Hypermedia Learning Environment. Journal of Educational Computing Research, 31 (3), 309–334.
Low, R., & Over, R. (1989). Detection of missing irrelevant information within algebraic story problems. Britisch Journal of Educational Psychology, 59 (3), 296–305.
Low, R., & Over, R. (1990). Text editing of algebraic word problems. Australian Journal of Psychology, 42 (1), 63–73.
Lu, J., Lajoie, S. P., & Wiseman, J. (2010). Scaffolding problembased learning with tools. International Journal of ComputerSupported Collaborative Learning, 5 (3), 283–298. doi:10.1007/s1141201090926
Makel, M. C., & Plucker, J. A. (2014). Facts are more important than novelty: Replication in the education sciences. Educational Researcher, 43, 304–316. doi:10.3102/0013189x14545513
Martin, M.O. & Mullis, I.V.S. (Eds.). (2013). TIMSS and PIRLS 2011: Relationships Among Reading, Mathematics, and Science Achievement at the Fourth Grade—Implications for Early Learning. Chestnut Hill, MA: TIMSS & PIRLS International Study Center, Boston College.
Mayer, R. E. (1992) Thinking, problem solving, cognition (2nd Ed.). New York: W. H. Freeman.
Mayer, R. E., Dow, G., & Mayer, S. (2003). Multimedia learning in an interactive selfexplaining environment: what works in the design of agentbased microworlds? Journal of Educational Psychology, 95, 806–813.
Mayer, R. E., & Hegarty, M. (1996). The process of understanding mathematical problem solving. In: Sternberg, R. J. and BenZeev T., (Eds.), The nature of mathematical thinking (pp. 29–54).Mahwah, NJ: Erlbaum.
Mayer, R. E., Mathias, A., & Wetzell, K. (2002). Fostering understanding of multimedia messages through pretraining: Evidence for a twostage theory of mental model construction. Journal of Experimental Psychology: Applied, 8,147–154. doi:10.1037/1076898X.8.3.147
McLaren, B.M., van Gog, T., Ganoe, C., Karabinos, M., & Yaron, D. (2016). The efficiency of worked examples compared to erroneous examples, tutored problem solving, and problem solving in classroom experiments. Computers in Human Behavior, 55, 8799. doi:10.1016/j.chb.2015.08.038
Meijer, J., & Riemersma, F. (2002). Teaching and testing mathematical problem solving by offering optional assistance. Instructional Science, 30, 187–220. Mevarech, Z. R., & Kramarski, B. (1997). IMPROVE: A multidimensional method
for teaching mathematics in heterogeneous classrooms. American Educational Research Journal 34 (2), 365–394.
Mevarech, Z. R., & Kramarski, B. (2003). The effects of metacognitive training versus workedout examples on students' mathematical reasoning. British Journal of Educational Psychology, 73 (4), 449–471.
Lee, H., Lim, K., & Grabowski, B. L. (2010). Improving selfregulation, learning strategy use, and achievement with metacognitive feedback. Educational Technology Research and Development, 58 (6), 629–648.
Lesh, R., & Doerr, H. (2000). Symbolizing, communicating and mathematizing: Key components of models and modeling. In P. Cobb, E. Yackel, & K. McClain (Eds.), Symbolizing and communicating in mathematics classrooms (pp. 361–383). Mahwah, NJ: Lawrence Erlbaum.
Li, Q., & Ma, X. (2010). A metaanalysis of the effects of computer technology on school students’ mathematics learning. Educational Psychology Review, 22, 215–243. doi:10.1007/s1064801091258
Lipponen, L., Rahikainen, M., Lallimo, J., & Hakkarainen, K. (2001). Analyzing patterns of participation and discourse in elementary students’ online science discussion. In P. Dillenbourg, A. Eurelings., & K. Hakkarainen (Eds.), European Perspectives on ComputerSupported Collaborative Learning. Proceedings of the First European Conference on CSCL (pp. 421428). Maastricht, the Netherlands: Maastricht McLuhan Institute.
Liu, M., Bera, S., Corliss, S. B., Svinicki, M. D., & Beth, A. D. (2004). Understanding the Connection Between Cognitive Tool Use and Cognitive Processes as used by Sixth Graders in a ProblemBased Hypermedia Learning Environment. Journal of Educational Computing Research, 31 (3), 309–334.
Low, R., & Over, R. (1989). Detection of missing irrelevant information within algebraic story problems. Britisch Journal of Educational Psychology, 59 (3), 296–305.
Low, R., & Over, R. (1990). Text editing of algebraic word problems. Australian Journal of Psychology, 42 (1), 63–73.
Lu, J., Lajoie, S. P., & Wiseman, J. (2010). Scaffolding problembased learning with tools. International Journal of ComputerSupported Collaborative Learning, 5 (3), 283–298. doi:10.1007/s1141201090926
Makel, M. C., & Plucker, J. A. (2014). Facts are more important than novelty: Replication in the education sciences. Educational Researcher, 43, 304–316. doi:10.3102/0013189x14545513
Martin, M.O. & Mullis, I.V.S. (Eds.). (2013). TIMSS and PIRLS 2011: Relationships Among Reading, Mathematics, and Science Achievement at the Fourth Grade—Implications for Early Learning. Chestnut Hill, MA: TIMSS & PIRLS International Study Center, Boston College.
Mayer, R. E. (1992) Thinking, problem solving, cognition (2nd Ed.). New York: W. H. Freeman.
Mayer, R. E., Dow, G., & Mayer, S. (2003). Multimedia learning in an interactive selfexplaining environment: what works in the design of agentbased microworlds? Journal of Educational Psychology, 95, 806–813.
Mayer, R. E., & Hegarty, M. (1996). The process of understanding mathematical problem solving. In: Sternberg, R. J. and BenZeev T., (Eds.), The nature of mathematical thinking (pp. 29–54).Mahwah, NJ: Erlbaum.
Mayer, R. E., Mathias, A., & Wetzell, K. (2002). Fostering understanding of multimedia messages through pretraining: Evidence for a twostage theory of mental model construction. Journal of Experimental Psychology: Applied, 8,147–154. doi:10.1037/1076898X.8.3.147
McLaren, B.M., van Gog, T., Ganoe, C., Karabinos, M., & Yaron, D. (2016). The efficiency of worked examples compared to erroneous examples, tutored problem solving, and problem solving in classroom experiments. Computers in Human Behavior, 55, 8799. doi:10.1016/j.chb.2015.08.038
Meijer, J., & Riemersma, F. (2002). Teaching and testing mathematical problem solving by offering optional assistance. Instructional Science, 30, 187–220. Mevarech, Z. R., & Kramarski, B. (1997). IMPROVE: A multidimensional method
for teaching mathematics in heterogeneous classrooms. American Educational Research Journal 34 (2), 365–394.
Mevarech, Z. R., & Kramarski, B. (2003). The effects of metacognitive training versus workedout examples on students' mathematical reasoning. British Journal of Educational Psychology, 73 (4), 449–471.
Moran, A. S., Swanson, H. L., Gerber, M. M., & Fung, W. (2014). The effects of paraphrasing interventions on problemsolving accuracy for math disabilities. Learning Disabilities Research & Practice, 29 (3), 97–105. Moreno, R. (2005). Multimedia learning with animated pedagogical agents. In R.
Mayer (Ed.), The Cambridge Handbook of Multimedia Learning (pp. 507– 523). New York, NY: Cambridge University Press.
Moreno, R. (2006). When worked examples don’t work: Is cognitive load theory at an impasse? Learning and Instruction, 16, 170181. doi:10.1016/j.learninstruc.2006.02.006
Moreno, R., & Mayer, R. (2002). Learning science in virtual reality multimedia environments: role of methods and media. Journal of Educational Psychology, 94 (3), 598–610. doi:10.1037//00220663.94.3.598.
Moreno, R., Mayer, R., & Lester, J. (2000). Lifelike pedagogical agents in constructivist multimedia environments: cognitive consequences of their interaction. In J. Bourdeau, & R. Heller (Eds.), Proceedings of World Conference on Educational Multimedia, Hypermedia and Telecommunications 2000 (pp. 776–781). Chesapeake, VA: AACE. Retrieved October 17, 2013 from http://www.editlib.org/p/16160.
Moreno, R., Mayer, R. E., Spires, H. A., & Lester, J. C. (2001). The case for social agency in computerbased teaching. Do students learn more deeply when they interact with animated pedagogical agents? Cognition and Instruction, 19 (2), 177–213. doi:10.1207/S1532690XCI1902_02.
Murphy, P. K., & Alexander, P. A. (2002). What counts? The predictive power of subjectmatter knowledge, strategic processing, and interest in domain specific performance. Journal of Experimental Education, 70, 197–214. Mullis, I. V. S., Martin, M. O., Foy, P., & Arora, A. (2012). TIMSS 2011
International Results in Mathematics. Chestnut Hill, MA: Boston College, TIMSS and PIRLS International Study Center. http://timssandpirls.bc.edu/timss2011/reports/internationalresults
mathematics.html
Nelson, M. C., Cordray, D. S., Hulleman, C. S., Darrow, C. L., & Sommer, E. C. (2012).A procedure for assessing intervention fidelity in experiments testing educational and behavioral interventions. Journal of Behavioral Health Services & Research, 39 (4), 374–396. doi: 10.1007/s114140129295x OECD (2014). PISA 2012 Results: Creative Problem Solving: Students’ Skills in
Tackling RealLife Problems (Volume V). PISA, OECD publishing. http://dx.doi.org/10.1787/9789264208070en
Olsen, J. K., Aleven, V., & Rummel N. (2015). Toward combining individual and collaborative learning with an intelligent tutoring system. In: Conati, S., Hefferman, N., Mitrovic, A., Felisa Verdejo., M. (eds) Artificial Intelligence in Education, 848851. doi:10.1007/9783319197739_130.
Olsen, J. K., Belenky, D. M., Aleven, V., & Rummel N. (2014). Using an intelligent tutoring system to support collaborative as well as individual learning. In: TrausanMatu, S., Boyer, K. E., Crosby, M., & Panourgia, K. (eds.) ITS 2014, 8474, 134143. Springer, Heidelberg. doi: 10.1007/9783319072210_16. Palinscar, A. S., & Herrenkohl, L. R. (2002). Designing collaborative learning
contexts. Theory into Practice, 41, 2732.
Parmar, R. S., Cawley, J. F., & Frazita, R. R. (1996). Word problemsolving by students with and without mild disabilities. Exceptional Children, 62, 415– 429.
Passolunghi, M. C., Marzocchi, G. M. & Fiorillo, F. (2005). Selective effect of inhibition of literal or numerical irrelevant information in children with attention deficit hyperactivity disorder (ADHD) or arithmetic learning disorder (ALD). Developmental Neuropsychology, 28 (3), 731–753.
Pellegrino, J. W., & Hilton, M. L. (2012). Education for Life and Work: Developing Transferrable Knowledge and Skill in the 21st Century. Washington, D.C.: The National Academies Press.
Moran, A. S., Swanson, H. L., Gerber, M. M., & Fung, W. (2014). The effects of paraphrasing interventions on problemsolving accuracy for math disabilities. Learning Disabilities Research & Practice, 29 (3), 97–105. Moreno, R. (2005). Multimedia learning with animated pedagogical agents. In R.
Mayer (Ed.), The Cambridge Handbook of Multimedia Learning (pp. 507– 523). New York, NY: Cambridge University Press.
Moreno, R. (2006). When worked examples don’t work: Is cognitive load theory at an impasse? Learning and Instruction, 16, 170181. doi:10.1016/j.learninstruc.2006.02.006
Moreno, R., & Mayer, R. (2002). Learning science in virtual reality multimedia environments: role of methods and media. Journal of Educational Psychology, 94 (3), 598–610. doi:10.1037//00220663.94.3.598.
Moreno, R., Mayer, R., & Lester, J. (2000). Lifelike pedagogical agents in constructivist multimedia environments: cognitive consequences of their interaction. In J. Bourdeau, & R. Heller (Eds.), Proceedings of World Conference on Educational Multimedia, Hypermedia and Telecommunications 2000 (pp. 776–781). Chesapeake, VA: AACE. Retrieved October 17, 2013 from http://www.editlib.org/p/16160.
Moreno, R., Mayer, R. E., Spires, H. A., & Lester, J. C. (2001). The case for social agency in computerbased teaching. Do students learn more deeply when they interact with animated pedagogical agents? Cognition and Instruction, 19 (2), 177–213. doi:10.1207/S1532690XCI1902_02.
Murphy, P. K., & Alexander, P. A. (2002). What counts? The predictive power of subjectmatter knowledge, strategic processing, and interest in domain specific performance. Journal of Experimental Education, 70, 197–214. Mullis, I. V. S., Martin, M. O., Foy, P., & Arora, A. (2012). TIMSS 2011
International Results in Mathematics. Chestnut Hill, MA: Boston College, TIMSS and PIRLS International Study Center. http://timssandpirls.bc.edu/timss2011/reports/internationalresults
mathematics.html
Nelson, M. C., Cordray, D. S., Hulleman, C. S., Darrow, C. L., & Sommer, E. C. (2012).A procedure for assessing intervention fidelity in experiments testing educational and behavioral interventions. Journal of Behavioral Health Services & Research, 39 (4), 374–396. doi: 10.1007/s114140129295x OECD (2014). PISA 2012 Results: Creative Problem Solving: Students’ Skills in
Tackling RealLife Problems (Volume V). PISA, OECD publishing. http://dx.doi.org/10.1787/9789264208070en
Olsen, J. K., Aleven, V., & Rummel N. (2015). Toward combining individual and collaborative learning with an intelligent tutoring system. In: Conati, S., Hefferman, N., Mitrovic, A., Felisa Verdejo., M. (eds) Artificial Intelligence in Education, 848851. doi:10.1007/9783319197739_130.
Olsen, J. K., Belenky, D. M., Aleven, V., & Rummel N. (2014). Using an intelligent tutoring system to support collaborative as well as individual learning. In: TrausanMatu, S., Boyer, K. E., Crosby, M., & Panourgia, K. (eds.) ITS 2014, 8474, 134143. Springer, Heidelberg. doi: 10.1007/9783319072210_16. Palinscar, A. S., & Herrenkohl, L. R. (2002). Designing collaborative learning
contexts. Theory into Practice, 41, 2732.
Parmar, R. S., Cawley, J. F., & Frazita, R. R. (1996). Word problemsolving by students with and without mild disabilities. Exceptional Children, 62, 415– 429.
Passolunghi, M. C., Marzocchi, G. M. & Fiorillo, F. (2005). Selective effect of inhibition of literal or numerical irrelevant information in children with attention deficit hyperactivity disorder (ADHD) or arithmetic learning disorder (ALD). Developmental Neuropsychology, 28 (3), 731–753.
Pellegrino, J. W., & Hilton, M. L. (2012). Education for Life and Work: Developing Transferrable Knowledge and Skill in the 21st Century. Washington, D.C.: The National Academies Press.
Pfannenstiel, K. H., Bryant, D. P., Bryant, B.R., & Porterfield, J. A. (2015). Cognitive strategy instruction for teaching word problems to primarylevel struggling students. Intervention in School and Clinic, 50 (5), 291–296. doi: 10.1177/1053451214560890
Pfister, H. R. (2005). How to support synchronous netbased learning discourses: Principles and perspectives. In R. Bromme, F. Hesse & H. Spada (Eds.). Barriers and biases in computermediated knowledge communication (pp. 39–57). New York: Springer.
Powell, S. R. (2011). Solving word problems using schemas: A review of the literature. Learning Disabilities Research & Practice, 26 (2), 94–108. Prinsen, F. R., Volman, M. L. L., & Terwel, J. (2006). The influence of learner
characteristics on degree and type of participation in a CSCL environment. British Journal of Educational Technology, 38 (6), 10371055. doi:10.1111/j.14678535.2006.00692.x
Rasbash, J., Steele, F., Browne, W. J., & Goldstein, H. (2012). A user’s guide to MLwiN, v2.26. Bristol: Centre for Multilevel Modelling, University of Bristol.
Rau, W. & Heyl, B. S. (1990). Humanizing the college classroom: Collaborative learning and social organization among students. Teaching Sociology, 18, 141–155.
Reinwein, J. (2012). Does the modality effect exist? And if so, which modality effect? Journal of Psycholinguistic Research, 41, 1–32. doi:10.1007/s10936 01191804.
Renkl, A. (2011). Instruction based on examples. In R. E. Mayer & P. A. Alexander (Eds.), Handbook of research on learning and instruction (pp. 272295). New York: Routledge.
Ritter, S., Anderson, J. R., Koedinger, K. R., & Corbett, A. (2007). Cognitive tutor: applied research in mathematics education. Psychonomic Bulletin & Review, 14 (2), 249–255.
RittleJohnson, B., & Koedinger, K. R. (2005). Designing knowledge scaffolds to support mathematical problem solving. Cognition and Instruction, 23 (3), 313–349. doi:10.1207/s1532690xci2303_1
Roll, I., Aleven, V., McLaren, B. M., & Koedinger, K. R. (2007). Designing for metacognition—applying cognitive tutor principles to the tutoring of help seeking. Metacognition and Learning, 2 (23), 125–140.
Roll, I., Aleven, V., McLaren, B. M., & Koedinger, K. R. (2011). Improving students’ helpseeking skills using metacognitive feedback in an intelligent tutoring system. Learning and Instruction, 21, 267–280.
Rummel, N., Mullins, D., & Spada, H. (2012). Scripted collaborative learning with the cognitive tutor algebra. International Journal of Computer Supported Collaborative Learning, 7 (2), 307339. doi:10.1007/s114120129146z. Salomon, G., & Globerson, T. (1989). When teams don’t function the way they
ought to. International Journal of Educational Research, 13, 89–100. Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving,
metacognition, and sense making in mathematics. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching (pp. 334–370). New York, NY: Macmillan.
Schoenfeld, A. H. (2002). Research methods in (Mathematics) Education. In L. English (Ed.), Handbook of International Research in Mathematics Education (pp. 435–488). Mahwah, NJ: Erlbaum.
Schoenfeld, A. H. (2013). Reflections on problem solving theory and practice. The Mathematics Enthusiast, 10 (12), 9–34.
Schraw, G. (2009). Measuring metacognitive judgments. In D. Hacker, J. Dunlosky, & A. Greasser (Eds.), Handbook of metacognition in education (pp. 415–429). New York, NY: Routledge.
Sfard, A., & Kieran, C. (2001). Cognition as communication: Rethinking learning by talking through multifaceted analysis of students’ mathematical interactions. Mind, Culture, and Activity, 8 (1), 42–76.
Sfard, A., Nesher, P., Streefland, L., Cobb, P., & Mason, J. (1998). Learning mathematics through conversation: Is it as good as they say? A debate. For the Learning of Mathematics, 18 (1), 41–51.
Pfannenstiel, K. H., Bryant, D. P., Bryant, B.R., & Porterfield, J. A. (2015). Cognitive strategy instruction for teaching word problems to primarylevel struggling students. Intervention in School and Clinic, 50 (5), 291–296. doi: 10.1177/1053451214560890
Pfister, H. R. (2005). How to support synchronous netbased learning discourses: Principles and perspectives. In R. Bromme, F. Hesse & H. Spada (Eds.). Barriers and biases in computermediated knowledge communication (pp. 39–57). New York: Springer.
Powell, S. R. (2011). Solving word problems using schemas: A review of the literature. Learning Disabilities Research & Practice, 26 (2), 94–108. Prinsen, F. R., Volman, M. L. L., & Terwel, J. (2006). The influence of learner
characteristics on degree and type of participation in a CSCL environment. British Journal of Educational Technology, 38 (6), 10371055. doi:10.1111/j.14678535.2006.00692.x
Rasbash, J., Steele, F., Browne, W. J., & Goldstein, H. (2012). A user’s guide to MLwiN, v2.26. Bristol: Centre for Multilevel Modelling, University of Bristol.
Rau, W. & Heyl, B. S. (1990). Humanizing the college classroom: Collaborative learning and social organization among students. Teaching Sociology, 18, 141–155.
Reinwein, J. (2012). Does the modality effect exist? And if so, which modality effect? Journal of Psycholinguistic Research, 41, 1–32. doi:10.1007/s10936 01191804.
Renkl, A. (2011). Instruction based on examples. In R. E. Mayer & P. A. Alexander (Eds.), Handbook of research on learning and instruction (pp. 272295). New York: Routledge.
Ritter, S., Anderson, J. R., Koedinger, K. R., & Corbett, A. (2007). Cognitive tutor: applied research in mathematics education. Psychonomic Bulletin & Review, 14 (2), 249–255.
RittleJohnson, B., & Koedinger, K. R. (2005). Designing knowledge scaffolds to support mathematical problem solving. Cognition and Instruction, 23 (3), 313–349. doi:10.1207/s1532690xci2303_1
Roll, I., Aleven, V., McLaren, B. M., & Koedinger, K. R. (2007). Designing for metacognition—applying cognitive tutor principles to the tutoring of help seeking. Metacognition and Learning, 2 (23), 125–140.
Roll, I., Aleven, V., McLaren, B. M., & Koedinger, K. R. (2011). Improving students’ helpseeking skills using metacognitive feedback in an intelligent tutoring system. Learning and Instruction, 21, 267–280.
Rummel, N., Mullins, D., & Spada, H. (2012). Scripted collaborative learning with the cognitive tutor algebra. International Journal of Computer Supported Collaborative Learning, 7 (2), 307339. doi:10.1007/s114120129146z. Salomon, G., & Globerson, T. (1989). When teams don’t function the way they
ought to. International Journal of Educational Research, 13, 89–100. Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving,
metacognition, and sense making in mathematics. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching (pp. 334–370). New York, NY: Macmillan.
Schoenfeld, A. H. (2002). Research methods in (Mathematics) Education. In L. English (Ed.), Handbook of International Research in Mathematics Education (pp. 435–488). Mahwah, NJ: Erlbaum.
Schoenfeld, A. H. (2013). Reflections on problem solving theory and practice. The Mathematics Enthusiast, 10 (12), 9–34.
Schraw, G. (2009). Measuring metacognitive judgments. In D. Hacker, J. Dunlosky, & A. Greasser (Eds.), Handbook of metacognition in education (pp. 415–429). New York, NY: Routledge.
Sfard, A., & Kieran, C. (2001). Cognition as communication: Rethinking learning by talking through multifaceted analysis of students’ mathematical interactions. Mind, Culture, and Activity, 8 (1), 42–76.
Sfard, A., Nesher, P., Streefland, L., Cobb, P., & Mason, J. (1998). Learning mathematics through conversation: Is it as good as they say? A debate. For the Learning of Mathematics, 18 (1), 41–51.