Mathematical thinking and problem solving

doi:10.4324/9781315044613

Cited by 409Mathematics Education and PedagogyMathematics Education and Teaching TechniquesHistory and Theory of Mathematics

Mathematical thinking and problem solving

·2016·Routledge eBooks

DOI 10.4324/9781315044613

Open this paper in CoChat — free account

Abstract

Contents: Preface. J.L. Schwartz, The Role of Research in Reforming Mathematics Education: A Different Approach. M. Linn, R. Pea, A Discussion of Judah Schwartz's Chapter. B. Reznick, Some Thoughts on Writing for the Putnam. L.C. Larson, Comments on Bruce Reznick's Chapter. I. Olkin, A.H. Schoenfeld, A Discussion of Bruce Reznick's Chapter. A.H. Schoenfeld, Reflections on Doing and Teaching Mathematics. L. Henkin, J.L. Schwartz, A Discussion of Alan Schoenfeld's Chapter. J.J. Kaput, Democratizing Access to Calculus: New Routes to Old Roots. E. Dubinsky, Comments on James Kaput's Chapter. J. Confrey, E. Smith, Comments on James Kaput's Chapter. M. Cohen, A. Knoebel, D.S. Kurtz, D.J. Pengelley, Making Calculus Students Think with Research Projects. B.Y. White, R.G. Douglas, A Discussion of Cohen, Knoebel, Kurtz, and Pengelley's Chapter. E. Dubinsky, A Theory and Practice of Learning College Mathematics. R.G. Wenger, Comments on Ed Dubinsky's Chapter. A.A. diSessa, Comments on Ed Dubinsky's Chapter. S.S. Epp, The Role of Proof in Problem Solving. J.G. Greeno, Comments on Susanna Epp's Chapter. J. Addison, A Discussion of Susanna Epp's Chapter. T.A. Romberg, Classroom Instruction that Fosters Mathemical Thinking and Problem Solving: Connections Between Theory and Practice. G. Leinhardt, Comments of Thomas Romberg's Chapter. R.B. Davis, Comments on Thomas Romberg's Chapter. A.H. Schoenfeld, Epilogue.

Integrity signals

Registry

Crossref · 10.4324/9781315044613

Cites

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

This paper’s full text isn’t openly available, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

PSTs, especially at the elementary level, lack experiences that encourage them to rely on their internal mathematical authorities.
“PSTs, especially at the elementary level, like the other college students that Povey and Burton (2003) studied, lack experiences that encourage them to rely on their internal mathematical authorities (Schoenfeld & Sloane, 2016).”
From Exercising Mathematical Authority: Three Cases of Preservice Teachers’ Algebraic Justifications (2019) · cites this paper as Schoenfeld & Sloane, 2016

Still being checked.

Sorted by citations

DeFT: A conceptual framework for considering learning with multiple representations
Ainsworth, S. (2006) · Learning and Instruction · doi:10.1016/j.learninstruc.2006.03.001 · Cited by 1,673 · see citing works
The situativity of knowing, learning, and research.
Greeno, J. G. (1998) · American Psychologist · doi:10.1037/0003-066x.53.1.5 · Cited by 1,626 · see citing works
On Claims That Answer the Wrong Questions
Greeno, J. G. (1997) · Educational Researcher · doi:10.3102/0013189x026001005 · Cited by 855 · see citing works
Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint)
Schoenfeld, A. H. (2016) · Journal of Education · doi:10.1177/002205741619600202 · Cited by 604 · see citing works
Integrating computational thinking with K-12 science education using agent-based computation: A theoretical framework
Sengupta, P., Kinnebrew, J. S., Basu, S., Biswas, G., & Clark, D. B. (2013) · Education and Information Technologies · doi:10.1007/s10639-012-9240-x · Cited by 572 · see citing works
Learning in Activity
Greeno, J. G., & Engeström, Y. (2014) · Cambridge University Press eBooks · doi:10.1017/cbo9781139519526.009 · Cited by 494 · see citing works
What Mathematics Education May Prepare Students for the Society of the Future?
Gravemeijer, K. P. E., Stephan, M. L., Julie, C., Lin, F.-L., & Ohtani, M. (2017) · International Journal of Science and Mathematics Education · doi:10.1007/s10763-017-9814-6 · Cited by 429 · see citing works
Mathematical Modelling: Can It Be Taught And Learnt?
Blum, W. F., & Ferri, R. B. (2009) · Cited by 385 · see citing works
Conceptualizing inquiry-based education in mathematics
Artigue, M., & Blomhøj, M. (2013) · ZDM · doi:10.1007/s11858-013-0506-6 · Cited by 381 · see citing works
Learning progressions and teaching sequences: a review and analysis
Duschl, R. A., Seungho, M., & Sezen‐Barrie, A. (2011) · Studies in Science Education · doi:10.1080/03057267.2011.604476 · Cited by 379 · see citing works
Images of rate and operational understanding of the fundamental theorem of calculus
Thompson, P. W. (1994) · Educational Studies in Mathematics · doi:10.1007/bf01273664 · Cited by 374 · see citing works
Quality Teaching of Mathematical Modelling: What Do We Know, What Can We Do?
Blum, W. (2015) · Springer eBooks · doi:10.1007/978-3-319-12688-3_9 · Cited by 280 · see citing works
Can Modelling Be Taught and Learnt? Some Answers from Empirical Research
Blum, W. F. (2011) · International perspectives on the teaching and learning of mathematical modelling · doi:10.1007/978-94-007-0910-2_3 · Cited by 316 · see citing works
Assessment of teacher knowledge across countries: a review of the state of research
Blömeke, S., & Delaney, S. (2012) · ZDM · doi:10.1007/s11858-012-0429-7 · Cited by 291 · see citing works
Unpacking the logic of mathematical statements
Selden, J., & Selden, A. (1995) · Educational Studies in Mathematics · doi:10.1007/bf01274210 · Cited by 252 · see citing works
A Framework for Research and Curriculum Development in Undergraduate Mathematics Educationjpeg
Asiala, Brown, A. H. F., DeViries, D., Dubinsky, E., Mathews, D. M., & Thomas, K. F. (2009) · Colección Digital Eudoxus · Cited by 226 · see citing works
Mapping Equity and Quality in Mathematics Education
Atweh, B., Valero, P., Secada, W. G., & Graven, M. (2011) · Springer eBooks · doi:10.1007/978-90-481-9803-0 · Cited by 225 · see citing works
Examining the Relationship Between Beliefs and Goals in Teacher Practice
Aguirre, J., & Speer, N. M. (1999) · The Journal of Mathematical Behavior · doi:10.1016/s0732-3123(99)00034-6 · Cited by 222 · see citing works
Integration of Technology, Curriculum, and Professional Development for Advancing Middle School Mathematics
Roschelle, J., Shechtman, N., Tatar, D. G., Hegedus, S., Hopkins, B., Empson, S. B., Knudsen, J., & Gallagher, L. P. (2010) · American Educational Research Journal · doi:10.3102/0002831210367426 · Cited by 216 · see citing works
Productive struggle in middle school mathematics classrooms
Warshauer, H. K. (2015) · Journal of Mathematics Teacher Education · doi:10.1007/s10857-014-9286-3 · Cited by 208 · see citing works
Developing mathematical competence: From the intended to the enacted curriculum
Boesen, J., Helenius, O., Bergqvist, E., Bergqvist, T., Lithner, J., Palm, T., & Palmberg, B. (2013) · The Journal of Mathematical Behavior · doi:10.1016/j.jmathb.2013.10.001 · Cited by 177 · see citing works
Models of the Teaching Process
Schoenfeld, A. H. (1999) · The Journal of Mathematical Behavior · doi:10.1016/s0732-3123(99)00031-0 · Cited by 176 · see citing works
Computational Literacy and “The Big Picture” Concerning Computers in Mathematics Education
diSessa, A. A. (2018) · Mathematical Thinking and Learning · doi:10.1080/10986065.2018.1403544 · Cited by 170 · see citing works
Response: On Claims That Answer the Wrong Questions
Greeno, J. G. (1997) · Educational Researcher · doi:10.2307/1176867 · Cited by 170 · see citing works
Calculators in the Mathematics Curriculum: the Scope of Personal Computational Technology
Ruthven, K. (1996) · Springer eBooks · doi:10.1007/978-94-009-1465-0_14 · Cited by 160 · see citing works
Affect in mathematical problem posing: conceptualization, advances, and future directions for research
Cai, J., & Лейкин, Р. (2020) · Educational Studies in Mathematics · doi:10.1007/s10649-020-10008-x · Cited by 154 · see citing works
The Proceedings of the 12th International Congress on Mathematical Education
Cho, S. J. (2015) · Springer eBooks · doi:10.1007/978-3-319-12688-3 · Cited by 149 · see citing works
DNR perspective on mathematics curriculum and instruction, Part I: focus on proving
Harel, G. (2008) · ZDM · doi:10.1007/s11858-008-0104-1 · Cited by 143 · see citing works
A framework to foster problem-solving in STEM and computing education
Priemer, B., Eilerts, K., Filler, A., Niels Pinkwart, C., Rösken-Winter, B., Tiemann, R., & zu Belzen, A. U. (2019) · Research in Science & Technological Education · doi:10.1080/02635143.2019.1600490 · Cited by 138 · see citing works
Geometrical representations in the learning of two-variable functions
Trigueros, M., & Martínez-Planell, R. (2009) · Educational Studies in Mathematics · doi:10.1007/s10649-009-9201-5 · Cited by 135 · see citing works
Pedagogical Affordances of Multiple External Representations in Scientific Processes
Wu, H., & Puntambekar, S. (2012) · Journal of Science Education and Technology · doi:10.1007/s10956-011-9363-7 · Cited by 131 · see citing works
Reasoning about variation in the intensity of change in covarying quantities involved in rate of change
Johnson, H. L. (2012) · The Journal of Mathematical Behavior · doi:10.1016/j.jmathb.2012.01.001 · Cited by 119 · see citing works
The effectiveness of Realistic Mathematics Education approach: The role of mathematical representation as mediator between mathematical belief and problem solving
Yuanita, P., Zulnaidi, H., & Zakaria, E. (2018) · PLoS ONE · doi:10.1371/journal.pone.0204847 · Cited by 115 · see citing works
A model of students’ combinatorial thinking
Lockwood, E. (2013) · The Journal of Mathematical Behavior · doi:10.1016/j.jmathb.2013.02.008 · Cited by 114 · see citing works
Understanding metacognitive failure
Goos, M. (2002) · The Journal of Mathematical Behavior · doi:10.1016/s0732-3123(02)00130-x · Cited by 95 · see citing works
Distinguishing Two Stages of Mathematics Conceptual Learning
Tzur, R., & Simon, M. (2004) · International Journal of Science and Mathematics Education · doi:10.1007/s10763-004-7479-4 · Cited by 94 · see citing works
The Process of Probability Problem Solving: Use of External Visual Representations
Zahner, D., & Corter, J. E. (2010) · Mathematical Thinking and Learning · doi:10.1080/10986061003654240 · Cited by 106 · see citing works
A model of reading comprehension of geometry proof
Yang, K., & Lin, F.-L. (2007) · Educational Studies in Mathematics · doi:10.1007/s10649-007-9080-6 · Cited by 93 · see citing works
Creativity as a function of problem-solving expertise: posing new problems through investigations
Elgrably, H., & Лейкин, Р. (2021) · ZDM · doi:10.1007/s11858-021-01228-3 · Cited by 90 · see citing works
Disciplinary integration of digital games for science learning
Clark, D. B., Sengupta, P., Brady, C. E., Martinez-Garza, M. M., & Killingsworth, S. S. (2015) · International Journal of STEM Education · doi:10.1186/s40594-014-0014-4 · Cited by 90 · see citing works
Mathematical problem solving and learning mathematics: What we expect students to obtain
Nunokawa, K. (2005) · The Journal of Mathematical Behavior · doi:10.1016/j.jmathb.2005.09.002 · Cited by 87 · see citing works
The Role and Uses of Technologies for the Teaching of Algebra and Calculus
Ferrara, F., Pratt, D., & Robutti, O. (2006) · BRILL eBooks · doi:10.1163/9789087901127_010 · Cited by 85 · see citing works
The Ongoing Value of Proof
Hanna, G. (1997) · Journal für Mathematik-Didaktik · doi:10.1007/bf03338846 · Cited by 85 · see citing works
Rethinking the Microworld Idea
Hoyles, C., Noss, R., & Adamson, R. (2002) · Journal of Educational Computing Research · doi:10.2190/u6x9-0m6h-mu1q-v36x · Cited by 83 · see citing works
KEMAMPUAN PEMECAHAN MASALAH MATEMATIS MAHASISWA CALON GURU MATEMATIKA: APA dan BAGAIMANA MENGEMBANGKANNYA
Bondan, W. D. (2009) · ePrints - UNY (Yogyakarta State University) · Cited by 80 · see citing works
The influence of SRA programming on algorithmic thinking and self-efficacy using Lego robotics in two types of instruction
Fanchamps, N. L. J. A., Slangen, L., Hennissen, P., & Specht, M. M. (2019) · International Journal of Technology and Design Education · doi:10.1007/s10798-019-09559-9 · Cited by 78 · see citing works
Intersecting representation and communication infrastructures
Hegedus, S., & Moreno–Armella, L. (2009) · ZDM · doi:10.1007/s11858-009-0191-7 · Cited by 73 · see citing works
Teacher-student interaction supporting students’ creative mathematical reasoning during problem solving using Scratch
Olsson, J., & Granberg, C. (2022) · Mathematical Thinking and Learning · doi:10.1080/10986065.2022.2105567 · Cited by 73 · see citing works
Covariational reasoning among U.S. and South Korean secondary mathematics teachers
Thompson, P. W., Hatfield, N. J., Yoon, H., Joshua, S., & Byerley, C. O. (2017) · The Journal of Mathematical Behavior · doi:10.1016/j.jmathb.2017.08.001 · Cited by 73 · see citing works
A portrait of benchmark school: How a school produces high achievement in students who previously failed.
Pressley, M. G., Gaskins, I. W., Solic, K., & Collins, S. (2006) · Journal of Educational Psychology · doi:10.1037/0022-0663.98.2.282 · Cited by 72 · see citing works
Learning to prove: The idea of heuristic examples
Reiss, K. M., & Renkl, A. (2002) · ZDM · doi:10.1007/bf02655690 · Cited by 71 · see citing works
Students’ understanding of the general notion of a function of two variables
Martínez-Planell, R., & Trigueros, M. (2012) · Educational Studies in Mathematics · doi:10.1007/s10649-012-9408-8 · Cited by 68 · see citing works
Learning by preparing to teach: Fostering self-regulatory processes and achievement during complex mathematics problem solving.
Muis, K. R., Psaradellis, C., Chevrier, M., Leo, I. D., & Lajoie, S. P. (2015) · Journal of Educational Psychology · doi:10.1037/edu0000071 · Cited by 67 · see citing works
The Detailed Analysis of an Established Teacher's Non-Traditional Lesson
Schoenfeld, A. H., Minstrell, J., & van Zee, E. (1999) · The Journal of Mathematical Behavior · doi:10.1016/s0732-3123(99)00035-8 · Cited by 65 · see citing works
Structured Collaboration versus Individual Learning in Solving Physics Problems
Harskamp, E. G., & Ding, N. (2006) · International Journal of Science Education · doi:10.1080/09500690600560829 · Cited by 64 · see citing works
EFFECTS OF A MATH-ENHANCED CURRICULUM AND INSTRUCTIONAL APPROACH ON THE MATHEMATICS ACHIEVEMENT OF AGRICULTURAL POWER AND TECHNOLOGY STUDENTS: AN EXPERIMENTAL STUDY
Parr, B. A., Edwards, M. C., & Leising, J. G. (2006) · Journal of Agricultural Education · doi:10.5032/jae.2006.03081 · Cited by 64 · see citing works
Frameworks and Principles for Task Design
Kieran, C., Doorman, M., & Ohtani, M. (2015) · New ICMI studies series · doi:10.1007/978-3-319-09629-2_2 · Cited by 64 · see citing works
The Mathematics of Change and Variation from a Millennial Perspective: New Content, New Context
Kaput, J. J., & Roschelle, J. (2012) · Advances in mathematics education · doi:10.1007/978-94-007-5696-0_2 · Cited by 64 · see citing works
Conceptual Change in Mathematics: Understanding the Real Numbers
Merenluoto, K., & Lehtinen, E. (2006) · Kluwer Academic Publishers eBooks · doi:10.1007/0-306-47637-1_13 · Cited by 63 · see citing works
Investigating Links from Teacher Knowledge, to Classroom Practice, to Student Learning in the Instructional System of the Middle-School Mathematics Classroom
Shechtman, N., Roschelle, J., Haertel, G. D., & Knudsen, J. (2010) · Cognition and Instruction · doi:10.1080/07370008.2010.487961 · Cited by 61 · see citing works
Studying new forms of participation and identity in mathematics classrooms with integrated communication and representational infrastructures
Hegedus, S., & Penuel, W. R. (2008) · Educational Studies in Mathematics · doi:10.1007/s10649-008-9120-x · Cited by 59 · see citing works
Direct Instruction In Mathematics: Issues For Schools With High Indigenous Enrolments: A Literature Review
Ewing, B. (2011) · The Australian journal of teacher education · doi:10.14221/ajte.2011v36n5.5 · Cited by 59 · see citing works
Mathematical Modelling: A Way of Life
Carmona-Dominguez, G. D. (2003) · Cited by 59 · see citing works
From New Technological Infrastructures to Curricular Activity Systems: Advanced Designs for Teaching and Learning
Roschelle, J., Knudsen, J., & Hegedus, S. (2009) · Springer eBooks · doi:10.1007/978-0-387-88279-6_9 · Cited by 58 · see citing works
Potential scenarios for Internet use in the mathematics classroom
Borba, M. C. (2009) · ZDM · doi:10.1007/s11858-009-0188-2 · Cited by 57 · see citing works
Effects of a Problem-based Structure of Physics Contents on Conceptual Learning and the Ability to Solve Problems
Labra, C. B., Gras-Martí, A., & Torregrosa, J. M. (2011) · International Journal of Science Education · doi:10.1080/09500693.2011.619210 · Cited by 55 · see citing works
Learning sciences
Nathan, M. J., & Alibali, M. W. (2010) · Wiley Interdisciplinary Reviews Cognitive Science · doi:10.1002/wcs.54 · Cited by 55 · see citing works
Enhancing equity in the classroom by teaching for mathematical creativity
Luria, S. R., Sriraman, B., & Kaufman, J. C. (2017) · ZDM · doi:10.1007/s11858-017-0892-2 · Cited by 54 · see citing works
Group composition and its effect on female and male problem-solving in science education
Harskamp, E. G., Ding, N., & Suhre, C. J. M. (2008) · Educational Research · doi:10.1080/00131880802499688 · Cited by 54 · see citing works
Modelling motion: from trace graphs to instantaneous change
Doorman, M. (2005) · Utrecht University Repository (Utrecht University) · Cited by 54 · see citing works
Distinguishing between Grit, Persistence, and Perseverance for Learning Mathematics with Understanding
DiNapoli, J. (2023) · Education Sciences · doi:10.3390/educsci13040402 · Cited by 53 · see citing works
Identifying authority structures in mathematics classroom discourse: a case of a teacher’s early experience in a new context
Wagner, D., & Herbel-Eisenmann, B. A. (2014) · ZDM · doi:10.1007/s11858-014-0587-x · Cited by 53 · see citing works
Teaching mathematical problem-solving from an emergent constructivist perspective: the experiences of Irish primary teachers
O’Shea, J., & Leavy, A. (2013) · Journal of Mathematics Teacher Education · doi:10.1007/s10857-013-9235-6 · Cited by 51 · see citing works
Scaling Up Innovative Technology-Based Mathematics
Tatar, D. G., Roschelle, J., Knudsen, J., Shechtman, N., Kaput, J., & Hopkins, B. (2008) · Journal of the Learning Sciences · doi:10.1080/10508400801986090 · Cited by 50 · see citing works
Integrating Knowledge and Practice at Manor in the Development of Providers of Professional Development for Teachers
Even, R. (2005) · Journal of Mathematics Teacher Education · doi:10.1007/s10857-005-0855-3 · Cited by 49 · see citing works
PME Special Issue: Bodily Activity and Imagination in Mathematics Learning
Nemirovsky, R., Borba, M. C., Dimattia, C., Arzarello, F., Robutti, O., Schnepp, M., Chazan, D., Rasmussen, C. L., Olszewski, J., Dost, K., et al. (2004) · Educational Studies in Mathematics · doi:10.1007/s10649-004-5933-4 · Cited by 48 · see citing works
Problem solving heuristics, affect, and discrete mathematics
Goldin, G. A. (2004) · ZDM · doi:10.1007/bf02655759 · Cited by 47 · see citing works
Confused, now what? A Cognitive-Emotional Strategy Training (CEST) intervention for elementary students during mathematics problem solving
Leo, I. D., & Muis, K. R. (2020) · Contemporary Educational Psychology · doi:10.1016/j.cedpsych.2020.101879 · Cited by 46 · see citing works
Mathematics teaching practices with technology that support conceptual understanding for Latino/a students
Zahner, W. C., Velazquez, G., Moschkovich, J. N., Vahey, P., & Lara-Meloy, T. (2012) · The Journal of Mathematical Behavior · doi:10.1016/j.jmathb.2012.06.002 · Cited by 44 · see citing works
A highly interactive discourse structure
Schoenfeld, A. H. (2004) · Advances in research on teaching · doi:10.1016/s1479-3687(02)80007-4 · Cited by 43 · see citing works
Learning in Activity
Greeno, J. G. (2005) · Cambridge University Press eBooks · doi:10.1017/cbo9780511816833.007 · Cited by 42 · see citing works
The effects of Polya’s heuristic and diary writing on children’s problem solving
Hensberry, K. K. R., & Jacobbe, T. (2012) · Mathematics Education Research Journal · doi:10.1007/s13394-012-0034-7 · Cited by 42 · see citing works
The Power of Mediating Artifacts in Group-Level Development of Mathematical Discourses
Ares, N. M., Stroup, W. M., & Schademan, A. R. (2008) · Cognition and Instruction · doi:10.1080/07370000802584497 · Cited by 40 · see citing works
Building Reflective Practices in a Pre-service Math and Science Teacher Education Course That Focuses on Qualitative Video Analysis
Barth-Cohen, L. A., Little, A. J., & Abrahamson, D. (2018) · Journal of Science Teacher Education · doi:10.1080/1046560x.2018.1423837 · Cited by 40 · see citing works
Gifted Ninth Graders' Notions of Proof: Investigating Parallels in Approaches of Mathematically Gifted Students and Professional Mathematicians
Sriraman, B. (2004) · journal for the education of the gifted · doi:10.4219/jeg-2004-317 · Cited by 40 · see citing works
Broadening the horizon: toddlers’ strategies for learning mathematics
Björklund, C. (2010) · International Journal of Early Years Education · doi:10.1080/09669761003661246 · Cited by 39 · see citing works
The Challenge of New Technologies: doing Old Things in a New Way, or doing New Things?
Noss, R., & Pachter, N. (1999) · SAGE Publications Ltd eBooks · doi:10.4135/9781446219454.n10 · Cited by 39 · see citing works
Understanding undergraduate disengagement from mathematics: Addressing alienation
Solomon, Y., & Croft, T. (2015) · International Journal of Educational Research · doi:10.1016/j.ijer.2015.10.006 · Cited by 38 · see citing works
Does a Math-Enhanced Curriculum and Instructional Approach Diminish Students' Attainment of Technical Skills? A Year-Long Experimental Study in Agricultural Power and Technology
Young, R. B., Edwards, M. C., & Leising, J. G. (2009) · Journal of Agricultural Education · doi:10.5032/jae.2009.01116 · Cited by 37 · see citing works
Scaffolding to Support Problem-Solving Performance in a Bioengineering Lab—A Case Study
Clark, R. M., & Mahboobin, A. (2017) · IEEE Transactions on Education · doi:10.1109/te.2017.2755601 · Cited by 36 · see citing works
Problem Posing as Reformulation and Sense-Making Within Problem Solving
Cifarelli, V. V., & Sevim, V. (2015) · Springer eBooks · doi:10.1007/978-1-4614-6258-3_8 · Cited by 36 · see citing works
Calculus students’ ability to solve geometric related-rates problems
Martin, T. S. (2000) · Mathematics Education Research Journal · doi:10.1007/bf03217077 · Cited by 36 · see citing works
Preparing K‐8 Preservice Teachers in a Content Course for Standards‐Based Mathematics Pedagogy
Lubinski, C. A., & Otto, A. D. (2004) · School Science and Mathematics · doi:10.1111/j.1949-8594.2004.tb18252.x · Cited by 36 · see citing works
Constructing mathematics in an interactive classroom context
Lau, P. N. K., Singh, P., & Hwa, T. Y. (2009) · Educational Studies in Mathematics · doi:10.1007/s10649-009-9196-y · Cited by 35 · see citing works
A Professional Development Program to Improve Math Skills Among Preschool Children in Head Start
Brendefur, J. L., Strother, S., Thiede, K. W., Lane, C., & Surges-Prokop, M. J. (2012) · Early Childhood Education Journal · doi:10.1007/s10643-012-0543-8 · Cited by 35 · see citing works
The role of scaling up research in designing for and evaluating robustness
Roschelle, J., Tatar, D. G., Shechtman, N., & Knudsen, J. (2008) · Educational Studies in Mathematics · doi:10.1007/s10649-008-9119-3 · Cited by 35 · see citing works
Validating an Instrument to Evaluate the Teaching of Mathematics Through Processes
Alsina, ́., López, A. M., Jáen, E. F., & Coronata, C. (2020) · International Journal of Science and Mathematics Education · doi:10.1007/s10763-020-10064-y · Cited by 34 · see citing works
Unfulfilled hopes in education for equity: redesigning the mathematics curriculum in a US high school
Buckley, L. A. (2009) · Journal of Curriculum Studies · doi:10.1080/00220270903148065 · Cited by 34 · see citing works
Projecting rate of change in the context of motion onto the context of money
Wilhelm, J. A., & Confrey, J. (2003) · International Journal of Mathematical Education in Science and Technology · doi:10.1080/00207390310001606660 · Cited by 34 · see citing works
Mathematizing Verbal Descriptions of Situations: A Language to Support Modeling
Yerushalmy, M. (1997) · Cognition and Instruction · doi:10.1207/s1532690xci1502_3 · Cited by 34 · see citing works

Venue: Routledge eBooks
Publisher: Routledge
Published: 2016-05-06
DOI: 10.4324/9781315044613
OpenAlex: W1707818634
Cited by: 405
References: 0
Citations by year: 2026: 15 · 2025: 5 · 2024: 10 · 2023: 12 · 2022: 14 · 2021: 19 · 2020: 16 · 2019: 14 · 2018: 20 · 2017: 17 · 2016: 12 · 2015: 18 · 2014: 24 · 2013: 19 · 2012: 33
FWCI: 9.43
Type: book
Language: en
Open access: closed
Locations: Routledge eBooks (publishedVersion)
Topics: Physical Sciences › Mathematics › Applied Mathematics › Mathematics Education and Pedagogy
Social Sciences › Education › Mathematics Education and Teaching Techniques
Physical Sciences › Mathematics › Theoretical Computer Science › History and Theory of Mathematics
Keywords: mathematical thinking, mathematical problem solving, mathematics education reform, calculus teaching, classroom teaching, Putnam competition

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

Mathematical thinking and problem solving

Abstract

Integrity signals

Claims the paper makes

Claims other papers make about this one

Cites

Cited by

Related

Record

About these checks