Mathematical Problem Solving: Current Themes, Trends, and Research

·2019·ICME-13 Monographs

DOI 10.1007/978-3-030-10472-6

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Situated Cognition and the Culture of Learning
Brown, J. S., Collins, A., & Duguid, P. (1989) · Educational Researcher · doi:10.3102/0013189x018001032 · Cited by 13,645
Assessment and Classroom Learning
Black, P., & Wiliam, D. (1998) · Assessment in Education: Principles, Policy & Practice · doi:10.1080/0969595980050102 · Cited by 8,152
Design Experiments: Theoretical and Methodological Challenges in Creating Complex Interventions in Classroom Settings
Brown, A. L. (1992) · Journal of the Learning Sciences · doi:10.1207/s15327809jls0202_2 · Cited by 4,000
The Development of Epistemological Theories: Beliefs About Knowledge and Knowing and Their Relation to Learning
Hofer, B. K., & Pintrich, P. R. (1997) · Review of Educational Research · doi:10.3102/00346543067001088 · Cited by 3,181
Application of cognitive, skill-based, and affective theories of learning outcomes to new methods of training evaluation.
Kraiger, K., Ford, J. K., & Salas, E. (1993) · Journal of Applied Psychology · doi:10.1037/0021-9010.78.2.311 · Cited by 1,831
The role of anomalous data in knowledge acquisition: A theoretical framework and implications for science instruction.
Chinn, C. A., & Brewer, W. F. (1993) · Review of Educational Research · doi:10.3102/00346543063001001 · Cited by 1,393
Cognitive Apprenticeship: Teaching the Craft of Reading, Writing and Mathematics
Collins, A., Brown, J. S., Newman, S. E., & Montclair State University (1988) · Thinking: The Journal of Philosophy for Children · doi:10.5840/thinking19888129 · Cited by 1,299
Self-regulated learning: a new concept embraced by researchers, policy makers, educators, teachers, and students.
Boekaerts, M. (1997) · Learning and Instruction · doi:10.1016/s0959-4752(96)00015-1 · Cited by 1,164
Are Cognitive Skills Context-Bound?
PERKINS, D., & SALOMON, G. (1989) · Educational Researcher · doi:10.3102/0013189x018001016 · Cited by 1,133
Problem-Based Learning Meets Case-Based Reasoning in the Middle-School Science Classroom: Putting Learning by Design(tm) Into Practice
Kolodner, J. L., Camp, P. J., Crismond, D., Fasse, B., Gray, J., Holbrook, J., Puntambekar, S., & Ryan, M. (2003) · Journal of the Learning Sciences · doi:10.1207/s15327809jls1204_2 · Cited by 1,061
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Gijbels, D., Dochy, F., Van den Bossche, P., & Segers, M. (2005) · Review of Educational Research · doi:10.3102/00346543075001027 · Cited by 917
Chapter 3: Rethinking Transfer: A Simple Proposal With Multiple Implications
BRANSFORD, J. D., & SCHWARTZ, D. L. (1999) · Review of Research in Education · doi:10.3102/0091732x024001061 · Cited by 881
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Horn, I. S., & Little, J. W. (2010) · American Educational Research Journal · doi:10.3102/0002831209345158 · Cited by 762
The Interaction of Domain-Specific and Strategic Knowledge in Academic Performance
Alexander, P. A., & Judy, J. E. (1988) · Review of Educational Research · doi:10.3102/00346543058004375 · Cited by 728
The Development of Expertise: The Journey From Acclimation to Proficiency
Alexander, P. A. (2003) · Educational Researcher · doi:10.3102/0013189x032008010 · Cited by 700
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Chan, K.-W., & Elliott, R. G. (2004) · Teaching and Teacher Education · doi:10.1016/j.tate.2004.09.002 · Cited by 640
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Geary, D. C. (1994) · doi:10.1037/10163-000 · Cited by 565
Enhancing Mathematical Reasoning in the Classroom: The Effects of Cooperative Learning and Metacognitive Training
Kramarski, B., & Mevarech, Z. R. (2003) · American Educational Research Journal · doi:10.3102/00028312040001281 · Cited by 450
Untitled work
Stylianides, A. J. (2007) · Journal for Research in Mathematics Education · doi:10.2307/30034869 · Cited by 342
Implementation of a peer‐led team learning instructional approach in an undergraduate organic chemistry course
Tien, L. T., Roth, V., & Kampmeier, J. A. (2002) · Journal of Research in Science Teaching · doi:10.1002/tea.10038 · Cited by 321
Untitled work
(1992) · Educational leadership · Cited by 313
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Furinghetti, F., & Pehkonen, E. (2002) · Beliefs: A Hidden Variable in Mathematics Education? · doi:10.1007/0-306-47958-3_3 · Cited by 283
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Wittwer, J., & Renkl, A. (2008) · Educational Psychologist · doi:10.1080/00461520701756420 · Cited by 277
Differential contribution of specific working memory components to mathematics achievement in 2nd and 3rd graders
Meyer, M. L., Salimpoor, V. N., Wu, S. S., Geary, D. C., & Menon, V. (2010) · Learning and Individual Differences · doi:10.1016/j.lindif.2009.08.004 · Cited by 273
The Tension Between Theories of Learning and Instruction in Mathematics Education
Cobb, P. (1988) · Educational Psychologist · doi:10.1207/s15326985ep2302_2 · Cited by 264
Effectiveness of computer-based scaffolding in the context of problem-based learning for STEM education: Bayesian meta-analysis
Kim, N. J., Belland, B. R., & Walker, A. E. (2018) · Educational Psychology Review · doi:10.1007/s10648-017-9419-1 · Cited by 220
Tools for bridging the cultures of everyday and scientific thinking
Hawkins, J., & Pea, R. D. (1987) · Journal of Research in Science Teaching · doi:10.1002/tea.3660240404 · Cited by 202
ROLE OF THE RIGHT PREFRONTAL CORTEX IN ILL-STRUCTURED PLANNING
Goel, V., & Grafman, J. (2000) · Cognitive Neuropsychology · doi:10.1080/026432900410775 · Cited by 194
Two ways to elaborate Vygotsky's concept of mediation
Karpov, Y. V., & Haywood, H. C. (1998) · American Psychologist · doi:10.1037/0003-066x.53.1.27 · Cited by 186
4 Quantitative Reasoning and the Development of Algebraic Reasoning
Jack, J. P., & Thompson, P. W. (2017) · Algebra in the Early Grades · doi:10.4324/9781315097435-5 · Cited by 172
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Weber, K. (2008) · Journal for Research in Mathematics Education · doi:10.5951/jresematheduc.39.4.0431 · Cited by 170
Promoting learning in online, ill-structured problem solving: The effects of scaffolding type and metacognition level
Kim, J. Y., & Lim, K. Y. (2019) · Computers & Education · doi:10.1016/j.compedu.2019.05.001 · Cited by 120
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Veermans, K., Joolingen, W. V., & de Jong, T. (2006) · International Journal of Science Education · doi:10.1080/09500690500277615 · Cited by 96
Strategy Instruction in Mathematics
Goldman, S. R. (1989) · Learning Disability Quarterly · doi:10.2307/1510251 · Cited by 92
Mathematics Education and Students with Learning Disabilities: Introduction to the Special Series
Rivera, D. P. (1997) · Journal of Learning Disabilities · doi:10.1177/002221949703000101 · Cited by 79
Distributed Cognition as a Lens to Understand the Effects of Scaffolds: The Role of Transfer of Responsibility
Belland, B. R. (2011) · Educational Psychology Review · doi:10.1007/s10648-011-9176-5 · Cited by 64
A critical review of elaboration theory
Wilson, B., & Cole, P. (1992) · Educational Technology Research and Development · doi:10.1007/bf02296843 · Cited by 45
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Artzt, A. F., & Armour-Thomas, E. (1997) · The Journal of Mathematical Behavior · doi:10.1016/s0732-3123(97)90008-0 · Cited by 39
Mathematics education: Procedures, rituals and man's search for meaning
Vinner, S. (2007) · The Journal of Mathematical Behavior · doi:10.1016/j.jmathb.2007.03.004 · Cited by 32
Solving math problems: Where and why does the solution process go astray?
Boekaerts, M., Seegers, G., & Vermeer, H. (1995) · Educational Studies in Mathematics · doi:10.1007/bf01274175 · Cited by 27
Impact of proof validation on proof writing in abstract algebra
Powers, R. A., Craviotto, C., & Grassl, R. M. (2010) · International Journal of Mathematical Education in Science and Technology · doi:10.1080/00207390903564603 · Cited by 27
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Venue: ICME-13 Monographs
Publisher: Springer International Publishing
Published: 2019
ISSN: 2520-8322 (ISSN-L)
2520-8330
DOI: 10.1007/978-3-030-10472-6
OpenAlex: W2147583867
Cited by: 2,696
References: 0
FWCI: 35.18
Type: book
Language: en
Open access: closed
Licence: www.springer.com/tdm (tdm)

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