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Mathematical flexibility: Theoretical, methodological, and educational considerations

https://doi.org/10.5964/jnc.10085
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1006/drev.1997.0444openalex-snapshot
Strategy Choice in Sociocultural Context
inferredcites →https://doi.org/10.1007/978-94-007-1793-0_10openalex-snapshot
Analyzing and Developing Strategy Flexibility in Mathematics Education
inferredcites →https://doi.org/10.1007/bf03174765openalex-snapshot
Conceptualizing, investigating, and enhancing adaptive expertise in elementary mathematics education
inferredcites →https://doi.org/10.1007/s10212-017-0357-6openalex-snapshot
Dutch sixth graders’ use of shortcut strategies in solving multidigit arithmetic problems
inferredcites →https://doi.org/10.1007/s10649-008-9155-zopenalex-snapshot
Acquisition and use of shortcut strategies by traditionally schooled children
inferredcites →https://doi.org/10.1007/s10649-011-9308-3openalex-snapshot
Children’s use of subtraction by addition on large single-digit subtractions
inferredcites →https://doi.org/10.1007/s11251-018-9457-1openalex-snapshot
Instructional approaches to foster third graders’ adaptive use of strategies: an experimental study on the effects of two learning environments on multi-digit addition and subtraction
inferredcites →https://doi.org/10.1007/s11858-009-0189-1openalex-snapshot
Conceptualising, investigating and stimulating representational flexibility in mathematical problem solving and learning: a critical review
inferredcites →https://doi.org/10.1007/s11858-009-0195-3openalex-snapshot
Strategies and flexibility in mental calculation
inferredcites →https://doi.org/10.1007/s11858-009-0205-5openalex-snapshot
Addition and subtraction of three-digit numbers: adaptive strategy use and the influence of instruction in German third grade
inferredcites →https://doi.org/10.1007/s11858-009-0214-4openalex-snapshot
Flexible and adaptive use of strategies and representations in mathematics education
inferredcites →https://doi.org/10.1016/j.actpsy.2010.08.007openalex-snapshot
Adults’ use of subtraction by addition
inferredcites →https://doi.org/10.1016/j.cedpsych.2005.08.001openalex-snapshot
The development of flexibility in equation solving
inferredcites →https://doi.org/10.1016/j.cedpsych.2015.03.001openalex-snapshot
Student, teacher, and instructional characteristics related to students' gains in flexibility
inferredcites →https://doi.org/10.1016/j.compedu.2018.09.011openalex-snapshot
Effects of a mathematics game-based learning environment on primary school students' adaptive number knowledge
inferredcites →https://doi.org/10.1016/j.learninstruc.2006.11.005openalex-snapshot
Gender-related effects of contemporary math instruction for low performers on problem-solving behavior
inferredcites →https://doi.org/10.1016/j.learninstruc.2007.09.018openalex-snapshot
Flexibility in problem solving: The case of equation solving
inferredcites →https://doi.org/10.1016/j.learninstruc.2017.02.001openalex-snapshot
Adaptive number knowledge and its relation to arithmetic and pre-algebra knowledge
inferredcites →https://doi.org/10.1016/j.learninstruc.2020.101311openalex-snapshot
Fourth graders’ adaptive strategy use in solving multidigit subtraction problems
inferredcites →https://doi.org/10.1016/j.lindif.2017.07.004openalex-snapshot
The use of number-based versus digit-based strategies on multi-digit subtraction: 9–12-year-olds' strategy use profiles and task performance
inferredcites →https://doi.org/10.1016/j.lindif.2019.02.006openalex-snapshot
Effects of mathematics textbooks on the development of primary school children's adaptive expertise in arithmetic
inferredcites →https://doi.org/10.1016/j.lindif.2021.102107openalex-snapshot
The remarkably frequent, efficient, and adaptive use of the subtraction by addition strategy: A choice/no-choice study in fourth- to sixth-graders with varying mathematical achievement levels
inferredcites →https://doi.org/10.1016/j.tine.2013.12.001openalex-snapshot
Skills underlying mathematics: The role of executive function in the development of mathematics proficiency
inferredcites →https://doi.org/10.1016/s0022-0965(03)00031-6openalex-snapshot
Use of the mathematical principle of inversion in young children
inferredcites →https://doi.org/10.1027/1016-9040.14.4.351openalex-snapshot
Strengths and Weaknesses of the Choice/No-Choice Method in Research on Strategy Use
inferredcites →https://doi.org/10.1037//0022-0663.93.3.627openalex-snapshot
Students' flexibility in solving two-digit addition and subtraction problems: Instruction effects.
inferredcites →https://doi.org/10.1037/0022-0663.93.2.346openalex-snapshot
Developing conceptual understanding and procedural skill in mathematics: An iterative process.
inferredcites →https://doi.org/10.1037/0022-0663.99.3.561openalex-snapshot
Does comparing solution methods facilitate conceptual and procedural knowledge? An experimental study on learning to solve equations.
inferredcites →https://doi.org/10.1037/0096-3445.126.1.71openalex-snapshot
Older and younger adults' strategy choices in multiplication: Testing predictions of ASCM using the choice/no-choice method.
inferredcites →https://doi.org/10.1037/a0018177openalex-snapshot
Individual differences in strategy use on division problems: Mental versus written computation.
inferredcites →https://doi.org/10.1037/a0024997openalex-snapshot
Relations among conceptual knowledge, procedural knowledge, and procedural flexibility in two samples differing in prior knowledge.
inferredcites →https://doi.org/10.1037/xlm0000153openalex-snapshot
Strategy use and strategy choice in fraction magnitude comparison.
inferredcites →https://doi.org/10.1080/00220973.2019.1586629openalex-snapshot
Mathematical Flexibility: Aspects of a Continuum and the Role of Prior Knowledge
inferredcites →https://doi.org/10.1080/10986060802583873openalex-snapshot
Young Children's Understanding and Application of Subtraction-Related Principles
inferredcites →https://doi.org/10.1111/bjdp.12223openalex-snapshot
Grade‐related differences in strategy use in multidigit division in two instructional settings
inferredcites →https://doi.org/10.1111/j.2044-8279.2011.02037.xopenalex-snapshot
Developing procedural flexibility: Are novices prepared to learn from comparing procedures?
inferredcites →https://doi.org/10.1111/j.2044-835x.1985.tb00951.xopenalex-snapshot
Mathematics in the streets and in schools
inferredcites →https://doi.org/10.1207/s1532690xci0103_3openalex-snapshot
The Development of the Commutativity Principle and Economical Addition Strategies
inferredcites →https://doi.org/10.1207/s1532690xci2404_2openalex-snapshot
The Development of Children's Adaptive Expertise in the Number Domain 20 to 100
inferredcites →https://doi.org/10.3389/fpsyg.2016.00508openalex-snapshot
Mathematics Anxiety: What Have We Learned in 60 Years?
inferredcites →https://doi.org/10.3389/fpsyg.2017.01368openalex-snapshot
Measures of Potential Flexibility and Practical Flexibility in Equation Solving
inferredcites →https://doi.org/10.3758/bf03195404openalex-snapshot
Using segmented linear regression models with unknown change points to analyze strategy shifts in cognitive tasks
inferredcites →https://doi.org/10.5964/jnc.7271openalex-snapshot
Adults’ use of subtraction by addition and its association with executive functions
inferredcites →https://doi.org/10.5964/jnc.7277openalex-snapshot
Flexibility and adaptivity in arithmetic strategy use: What children know and what they show
inferredcites →https://doi.org/10.5964/jnc.7577openalex-snapshot
Comparing fraction magnitudes: Adults’ verbal reports reveal strategy flexibility and adaptivity, but also bias
inferredcites →https://doi.org/10.5964/jnc.7593openalex-snapshot
The power of one: The importance of flexible understanding of an identity element
inferredcites →https://doi.org/10.5964/jnc.7601openalex-snapshot
A complicated relationship: Examining the relationship between flexible strategy use and accuracy
inferredcites →https://doi.org/10.5964/jnc.7661openalex-snapshot
Enhancing cognitive flexibility through a training based on multiple categorization: Developing proportional reasoning in primary school
inferredcites →https://doi.org/10.5964/jnc.7675openalex-snapshot
Characterizing mathematics anxiety and its relation to performance in routine and adaptive tasks

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4683895openalex-extracted
Profiles of Flexibility with Fraction Arithmetic and Their Connection to Algebra Readiness
inferred← citeshttps://doi.org/10.1007/978-3-032-24819-0_7openalex-snapshot
Learning-Science Grounded Design for Generative Artificial Intelligence in Education
inferred← citeshttps://doi.org/10.1007/s00426-024-02008-wopenalex-snapshot
Strategy variability in computational estimation and its association with mathematical achievement
inferred← citeshttps://doi.org/10.1007/s10212-023-00723-3openalex-snapshot
The role of prior knowledge and need for cognition for the effectiveness of interleaved and blocked practice
inferred← citeshttps://doi.org/10.1007/s10648-023-09825-2openalex-snapshot
A Systematic Review of Mathematical Flexibility: Concepts, Measurements, and Related Research
inferred← citeshttps://doi.org/10.1007/s10648-025-10051-1openalex-snapshot
Toward an Integrated Model of the Individual Differences in Mathematical Flexibility
inferred← citeshttps://doi.org/10.1007/s11858-023-01491-6openalex-snapshot
Strategy flexibility in mathematics
inferred← citeshttps://doi.org/10.1007/s40753-025-00291-5openalex-snapshot
University Students’ Strategy Flexibility in Equation Solving
inferred← citeshttps://doi.org/10.1016/j.tsc.2025.101842openalex-snapshot
An Analysis of Gifted and Non-Gifted Fifth Graders’ Strategic Flexibility
inferred← citeshttps://doi.org/10.1080/00461520.2026.2695644openalex-snapshot
Defining and measuring mathematical strategy flexibility: A systematic review with a multidimensional framework
inferred← citeshttps://doi.org/10.1080/10986065.2024.2435827openalex-snapshot
Opportunity to learn flexible and adaptive strategy use in current and past Dutch mathematics textbooks
inferred← citeshttps://doi.org/10.1111/mbe.70049openalex-snapshot
Going Beyond Correlations: Experimental Methods for Investigating the Role of Executive Functions in the Development of Academic Skills
inferred← citeshttps://doi.org/10.1145/3626772.3657729openalex-snapshot
COMI: COrrect and MItigate Shortcut Learning Behavior in Deep Neural Networks
inferred← citeshttps://doi.org/10.3390/bs15111440openalex-snapshot
The Performance of Learners’ Strategic Flexibility and Its Relationship with External Factors and Cognitive Flexibility: A Survey of High School Mathematics in China
inferred← citeshttps://doi.org/10.37251/jee.v7i2.2825openalex-snapshot
Developing Holistic Gasing Evaluation Model to Balance Cognitive Efficiency and Affective Resilience
inferred← citeshttps://doi.org/10.53444/deubefd.1330215openalex-snapshot
Beşinci Sınıf Öğrencilerinin Problem Çözmede Stratejik Esnekliklerinin Matematiğin Doğasına İlişkin Görüşleri Çerçevesinde İncelenmesi
inferred← citeshttps://doi.org/10.5565/rev/ensciencias.5978openalex-snapshot
¿Qué estrategia es mejor para un problema de Fermi? Adaptabilidad de futuros maestros
inferred← citeshttps://doi.org/10.64628/aao.7ynjtg59eopenalex-snapshot
Cómo enseñar matemáticas para desarrollar un pensamiento flexible y creativo
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